CA2620226A1 - System and method for predicting performance of electrical power cables - Google Patents

System and method for predicting performance of electrical power cables Download PDF

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Publication number
CA2620226A1
CA2620226A1 CA002620226A CA2620226A CA2620226A1 CA 2620226 A1 CA2620226 A1 CA 2620226A1 CA 002620226 A CA002620226 A CA 002620226A CA 2620226 A CA2620226 A CA 2620226A CA 2620226 A1 CA2620226 A1 CA 2620226A1
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Prior art keywords
dielectric enhancement
enhancement fluid
finite volume
fluid component
finite
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CA002620226A
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French (fr)
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CA2620226C (en
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Glen J. Bertini
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Novinium LLC
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    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01B—CABLES; CONDUCTORS; INSULATORS; SELECTION OF MATERIALS FOR THEIR CONDUCTIVE, INSULATING OR DIELECTRIC PROPERTIES
    • H01B3/00—Insulators or insulating bodies characterised by the insulating materials; Selection of materials for their insulating or dielectric properties
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
    • G09B23/18—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for electricity or magnetism
    • G09B23/181—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for electricity or magnetism for electric and magnetic fields; for voltages; for currents
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01B—CABLES; CONDUCTORS; INSULATORS; SELECTION OF MATERIALS FOR THEIR CONDUCTIVE, INSULATING OR DIELECTRIC PROPERTIES
    • H01B7/00—Insulated conductors or cables characterised by their form
    • H01B7/17—Protection against damage caused by external factors, e.g. sheaths or armouring
    • H01B7/28—Protection against damage caused by moisture, corrosion, chemical attack or weather
    • H01B7/282—Preventing penetration of fluid, e.g. water or humidity, into conductor or cable
    • H01B7/285—Preventing penetration of fluid, e.g. water or humidity, into conductor or cable by completely or partially filling interstices in the cable
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
    • G06F2113/16—Cables, cable trees or wire harnesses
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08—Thermal analysis or thermal optimisation
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T29/00—Metal working
    • Y10T29/49—Method of mechanical manufacture
    • Y10T29/49002—Electrical device making
    • Y10T29/49117—Conductor or circuit manufacturing
    • Y10T29/49174—Assembling terminal to elongated conductor
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T29/00—Metal working
    • Y10T29/49—Method of mechanical manufacture
    • Y10T29/49002—Electrical device making
    • Y10T29/49117—Conductor or circuit manufacturing
    • Y10T29/49174—Assembling terminal to elongated conductor
    • Y10T29/49176—Assembling terminal to elongated conductor with molding of electrically insulating material
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T29/00—Metal working
    • Y10T29/49—Method of mechanical manufacture
    • Y10T29/49002—Electrical device making
    • Y10T29/49117—Conductor or circuit manufacturing
    • Y10T29/49174—Assembling terminal to elongated conductor
    • Y10T29/49176—Assembling terminal to elongated conductor with molding of electrically insulating material
    • Y10T29/49178—Assembling terminal to elongated conductor with molding of electrically insulating material by shrinking of cover

Abstract

A computer simulation method is disclosed for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time. The simulation method comprises for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable, and estimating the radial temperature of each finite volume. For a selected time period after the initial time, performing a series of steps at least once and outputting or otherwise using the value of the new concentration for the dielectric enhancement fluid component within each finite volume.

Claims (58)

1. A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time t=O, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
for each of a plurality of different selected incremental time periods occurring after t=0:
estimating the radial temperature of each finite volume;
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
2. The computer simulation method of claim 1, further including using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for at least one time after t=O, and using the calculated concentration profile to select a suitable fluid composition for injection into the electrical cable being simulated.
3. The computer simulation method of claim 2, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for at least one time after t=0.
4. The computer simulation method of claim 1 wherein the finite volumes are a plurality of coaxial cylinders extending the selected length of the simulated cable.
5. The computer simulation method of claim 1, further including:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;
for each of a plurality of different selected incremental time periods occurring after t=0 using a selected constant radial temperature for each finite volume:

calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=0;
determining if the second calculated concentration profile approximates the first calculated concentration profile; and using the selected constant radial temperature as a flux-weighted temperature if the second calculated concentration profile approximates the first calculated concentration profile
6. The computer simulation method of claim 5, wherein if the second calculated concentration profile does not approximate the first calculated concentration profile, selecting a different constant radial temperature for each finite volume to use for each of the plurality of different selected incremental time periods occurring after t=0, until the second calculated concentration profile approximates the first calculated concentration profile
7. The computer simulation method of claim 5 wherein the flux-weighted temperature is used to select a suitable fluid composition for injection into the electrical cable being simulated.
8. The computer simulation method of claim 1, further including using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=O that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;
if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
9. A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time t=0, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
for each of a plurality of different selected incremental time periods occurring after t=0:
estimating the radial temperature of each finite volume;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
10. The computer simulation method of claim 9, further including using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for at least one time after t=0, and using the calculated concentration profile to select a suitable fluid composition for injection into the electrical cable being simulated.
11. The computer simulation method of claim 10, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for at least one time after t=0.
12. The computer simulation method of claim 9 wherein the finite volumes are a plurality of coaxial cylinders extending the selected length of the simulated cable.
13. The computer simulation method of claim 9, further including:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;
for each of a plurality of different selected incremental time periods occurring after t=0 using a selected constant radial temperature for each finite volume:

calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=0;
determining if the second calculated concentration profile approximates the first calculated concentration profile; and using the selected constant radial temperature as a flux-weighted temperature if the second calculated concentration profile approximates the first calculated concentration profile.
14. The computer simulation method of claim 13, wherein if the second calculated concentration profile does not approximate the first calculated concentration profile, selecting a different constant radial temperature for each finite volume to use for each of the plurality of different selected incremental time periods occurring after t=0, until the second calculated concentration profile approximates the first calculated concentration profile.
15. The computer simulation method of claim 14 wherein the flux-weighted temperature is used to select a suitable fluid composition for injection into the electrical cable being simulated.
16. The computer simulation method of claim 8, further including:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=0 that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;
if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
17. A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
18. The computer simulation method of claim 17, further including:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for a selected time period after the initial time, performing at least once each of:
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;

if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
19. The computer simulation method of claim 18 wherein the flux-weighted temperature is used to select a suitable fluid composition for injection into the electrical cable being simulated.
20. A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
using the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time; and using the calculated concentration profile to select a suitable fluid composition for injection into the electrical cable being simulated.
21. The computer simulation method of claim 20, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
22. A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
23. ~The computer simulation method of claim 22, further including:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for a selected time period after the initial time, performing at least once each of:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;

outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;
if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
24. ~The computer simulation method of claim 23 wherein the flux-weighted temperature is used to select a suitable fluid composition for injection into the electrical cable being simulated.
25. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:

calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
using the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time; and using the calculated concentration profile to select a suitable fluid composition for injection into the electrical cable being simulated.
26. ~The computer simulation method of claim 25, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
27. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time t=0, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;

estimating the radial temperature of each finite volume;
for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the changes in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume; and outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume.
28. ~The computer simulation method of claim 27, further including:
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a first combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;
determining a constant radial temperature for each finite volume that results in a second combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=0 that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second combined calculated concentration profile;
using the selected constant radial temperature, for each of a plurality of different selected incremental time periods occurring after t=0:

calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature;
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature to determine the second combined calculated concentration profile;
determining if the second combined calculated concentration profile approximates the first combined calculated concentration profile;
if the selected constant radial temperature does not result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, selecting a new constant radial temperature to use in determining the second combined calculated concentration profile;
and if the selected constant radial temperature does result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
29. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time t=0, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for each of a plurality of different selected incremental time periods occurring after t=0.
calculating the changes in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume, calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes, and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume;
using the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a calculated concentration profile for each of the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for at least one time after t=O; and using the calculated concentration profile for each of the dielectric enhancement fluid components to select a suitable fluid composition for injection into the electrical cable being simulated.
30. ~The computer simulation method of claim 29, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentrations of the dielectric enhancement fluid components, and using the empirical model and the calculated concentration profiles for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
31. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time t=O, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume; and outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume.
32. ~The computer simulation method of claim 31, further including:
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a first combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for a selected time after t=0;

determining a constant radial temperature for each finite volume that results in a second combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time after t=0 that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second combined calculated concentration profile;
using the selected constant radial temperature, for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature;
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature to determine the second combined calculated concentration profile;
determining if the second combined calculated concentration profile approximates the first combined calculated concentration profile;
if the selected constant radial temperature does not result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, selecting a new constant radial temperature to use in determining the second combined calculated concentration profile;
and if the selected constant radial temperature does result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
33. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time t=0, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for each of a plurality of different selected incremental time periods occurring after t=0:
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume; and using the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a calculated concentration profile for each of the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for at least one time after t=0; and using the calculated concentration profile for each of the dielectric enhancement fluid components to select a suitable fluid composition for injection into the electrical cable being simulated.
34. ~The computer simulation method of claim 33, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentrations of the dielectric enhancement fluid components, and using the empirical model and the calculated concentration profiles for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
35. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once-for each-of the dielectric enhancement fluid components, each of:
calculating the changes in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume; and outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume.
36. ~The computer simulation method of claim 35, further including using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine for each of the dielectric enhancement fluid components a calculated concentration profile within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time, and using the calculated concentration profiles to select a suitable fluid composition for injection into the electrical cable being simulated.
37. ~The computer simulation method of claim 36, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentrations of the dielectric enhancement fluid components, and using the empirical model and the calculated concentration profiles for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
38. ~The computer simulation method of claim 35, further including:
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a first combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first combined calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second combined calculated concentration profile;
using the selected constant radial temperature, for the selected time period after the initial time:

calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature;
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature to determine the second combined calculated concentration profile;
determining if the second combined calculated concentration profile approximates the first combined calculated concentration profile;
if the selected constant radial temperature does not result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, selecting a new constant radial temperature to use in determining the second combined calculated concentration profile;
and if the selected constant radial temperature does result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
39. ~A computer simulation method for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising a plurality of dielectric enhancement fluid components so as to at least partially fill the interstitial void volume at an initial time, the simulation method comprising:
for a selected length of the simulated cable, defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once for each of the dielectric enhancement fluid components, each of:
calculating the diffusion properties of the dielectric enhancement fluid components within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid components within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid components within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine new concentrations for the dielectric enhancement fluid components within each finite volume; and outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume.
40. ~The computer simulation method of claim 39, further including using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine for each of the dielectric enhancement fluid components a calculated concentration profile within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time, and using the calculated concentration profiles to select a suitable fluid composition for injection into the electrical cable being simulated.
41. ~The computer simulation method of claim 40, further including providing an empirical model of the dielectric performance of the simulated cable as a function of concentrations of the dielectric enhancement fluid components, and using the empirical model and the calculated concentration profiles for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
42. ~The computer simulation method of claim 39, further including:
using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume to determine a first combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second combined calculated concentration profile for the dielectric enhancement fluid components within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first combined calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second combined calculated concentration profile;
using the selected constant radial temperature, for the selected time period after the initial time:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid components within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature;

using the outputted values of the new concentrations for the dielectric enhancement fluid components within each finite volume using the selected constant radial temperature to determine the second combined calculated concentration profile;
determining if the second combined calculated concentration profile approximates the first combined calculated concentration profile;
if the selected constant radial temperature does not result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, selecting a new constant radial temperature to use in determining the second combined calculated concentration profile;
and if the selected constant radial temperature does result in the second combined calculated concentration profile being determined to approximate the first combined calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
43. ~A computer simulation system for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the system comprising:
means for defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable for a selected length of the simulated cable;
means for estimating the radial temperature of each finite volume;
means for calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions for a selected time period after the initial time using the estimated radial temperature of each finite volume;
means for calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume for the selected time period after the initial time using the estimated radial temperature of each finite volume;
means for calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time using the estimated radial temperature of each finite volume;
means for combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and means for outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
44. ~The computer simulation system of claim 43, further including means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time to select a suitable fluid composition for injection into the electrical cable being simulated.
45. ~The computer simulation system of claim 44, further including means for storing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and means for using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
46. ~The computer simulation system of claim 43, further including:
means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
means for storing a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile;
means for calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions for the selected time period after the initial time using the selected constant radial temperature;
means for calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume for the selected time period after the initial time using the selected constant radial temperature;
means for calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time using the selected constant radial temperature;
means for combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
means for outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
and means for determining if the second calculated concentration profile approximates the first calculated concentration profile, and if the selected constant radial temperature does not resuit in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile, and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
47. ~A computer simulation system for simulating an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, the system comprising:
means for defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable for a selected length of the simulated cable;
means for estimating the radial temperature of each finite volume;
means for calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume for a selected time period after the initial time;
means for calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time;
means for combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and means for outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
48. ~The computer simulation system of claim 47, further including means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time to select a suitable fluid composition for injection into the electrical cable being simulated.
49. ~The computer simulation system of claim 48, further including means for storing an empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, and means for using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
50. ~The computer simulation system of claim 47, further including:
means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
means for storing a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile;
means for calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume for the selected time period after the initial time using the selected constant radial temperature;
means for calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time using the selected constant radial temperature;

means for combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes for the selected time period after the initial time to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
means for outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
means for using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using.the selected constant radial temperature to determine the second calculated concentration profile;
and means for determining if the second calculated concentration profile approximates the first calculated concentration profile, and if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile, and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
51. ~A computer-readable medium whose instructions cause a computer system to simulate an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, by:
defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable for a selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:

calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions;
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
52. The computer-readable medium of claim 51 whose instructions cause the computer system to simulate the electrical cable by using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time to select a suitable fluid composition for injection into the electrical cable being simulated.
53. The computer-readable medium of claim 52 for use with the computer system having a stored empirical model of the dielectric performance of the simulated cable as,a function of concentration of the dielectric enhancement fluid component, whose instructions cause the computer system to simulate the electrical cable by using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
54. The computer-readable medium of claim 51 whose instructions cause the computer system to simulate the electrical cable by:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for a selected time period after the initial time, performing at least once each of:
calculating the change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions, calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume due to chemical reactions with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;

using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;
if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
55. A computer-readable medium whose instructions cause a computer system to simulate an electrical cable having a stranded conductor surrounded by a conductor shield encased in an insulation jacket and having an interstitial void volume in the region of the conductor injected with a fluid composition comprising at least one dielectric enhancement fluid component so as to at least partially fill the interstitial void volume at an initial time, by:
defining a plurality of radially arranged finite volumes extending the selected length of the simulated cable for a selected length of the simulated cable;
estimating the radial temperature of each finite volume;
for a selected time period after the initial time, performing at least once each of:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes; and combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume; and outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume.
56. The computer-readable medium of claim 55 whose instructions cause the computer system to simulate the electrical cable by using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time to select a suitable fluid composition for injection into the electrical cable being simulated.
57. The computer-readable medium of claim 56 for use with the computer system having a stored empirical model of the dielectric performance of the simulated cable as a function of concentration of the dielectric enhancement fluid component, whose instructions cause the computer system to simulate the electrical cable by using the empirical model and the calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable to determine an estimate of dielectric performance changes for times after the initial time.
58. The computer-readable medium of claim 55 whose instructions cause the computer system to simulate the electrical cable by:
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume to determine a first calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time;
determining a constant radial temperature for each finite volume that results in a second calculated concentration profile for the dielectric enhancement fluid component within the conductor shield and the insulation jacket of the simulated cable for the selected time period after the initial time that approximates the first calculated concentration profile, by:
selecting a constant radial temperature for each finite volume to use in determining the second calculated concentration profile;
using the selected constant radial temperature, for a selected time period after the initial time, performing at least once each of:
calculating the diffusion properties of the dielectric enhancement fluid component within each finite volume;
calculating the mass flux from one finite volume to another finite volume for the dielectric enhancement fluid component within the finite volumes;
combining the calculated change in mass of the dielectric enhancement fluid component within each finite volume with the calculated mass flux between each adjacent finite volume for the dielectric enhancement fluid component within the finite volumes to determine a new concentration for the dielectric enhancement fluid component within each finite volume;
outputting the value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature;
using the outputted value of the new concentration for the dielectric enhancement fluid component within each finite volume using the selected constant radial temperature to determine the second calculated concentration profile;
determining if the second calculated concentration profile approximates the first calculated concentration profile;
if the selected constant radial temperature does not result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, selecting a new constant radial temperature to use in determining the second calculated concentration profile; and if the selected constant radial temperature does result in the second calculated concentration profile being determined to approximate the first calculated concentration profile, using the selected constant radial temperature as a flux-weighted temperature.
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