Method, apparatus and computer program product for network design and analysis

A system comprising:

• a processor;
• and
• a storage device connected to the processor, wherein the storage device is for storing a program for controlling the processor on a computer readable medium, and wherein the processor is operative with the program to execute the program for performing the steps of:
• receiving, by a computer system, first information for a first representation of an electrical network, wherein the first representation includes a first set of simultaneous linear algebraic equations (SLAE's);
• receiving, by the computer system, second information for a second representation of an electrical network, wherein the second representation includes a second set of SLAE's and the computer system stores the first and second information on a computer readable medium, wherein the equations of the first and second sets of SLAE's include a number of unknowns and have coefficients for the respective unknowns, a number of the coefficients being expressed in algebraic form, and wherein the coefficients of one such equation from one of the sets of SLAE's are for respective elements of the set's respective electrical network and the unknowns are for respective operating properties of the set's respective electrical network;
• deriving a certain pair of results for each unknown of each respective one of the SLAE's, the results being derived from the respective sets of SLAE's and stored by the computer system on a computer readable medium;
• and
• comparing the pairs of results to determine a network equivalence, wherein the results derived from the SLAE's are expressed in algebraic form so that the comparing of the pairs of results includes comparing algebraic expressions.

A computer program product comprising a computer program on a computer readable storage medium having computer readable program code, the program code comprising:

• first instructions for receiving, by a computer system, first information for a first representation of an electrical network, wherein the first representation includes a first set of simultaneous linear algebraic equations (SLAE's);
• second instructions for receiving, by the computer system, second information for a second representation of an electrical network, wherein the second representation includes a second set of SLAE's and the computer system stores the first and second information on a computer readable medium, wherein the equations of the first and second sets of SLAE's include a number of unknowns and have coefficients for the respective unknowns, a number of the coefficients being expressed in algebraic form, and wherein the coefficients of one such equation from one of the sets of SLAE's are for respective elements of the set's respective electrical network and the unknowns are for respective operating properties of the set's respective electrical network;
• third instructions for deriving, by the computer system, a certain pair of results for each unknown of each respective one of the SLAE's and stored by the computer system on a computer readable medium, the results being derived from the respective sets of SLAE's;
• and
• fourth instructions for comparing, by the computer system, the pairs of results to determine a network equivalence, wherein the results derived from the SLAE's are expressed in algebraic form so that the comparing of the pairs of results includes comparing algebraic expressions.