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A system and method for monitoring and managing electrical power transmission and distribution networks through use of a deterministic, non-iterative method using an holomorphic embedding and algebraic approximants for determining the real-time load flow in a power generating system having an electr

A system and method for monitoring and managing electrical power transmission and distribution networks through use of a deterministic, non-iterative method using an holomorphic embedding and algebraic approximants for determining the real-time load flow in a power generating system having an electrical grid. Such method may be employed for real-time or off-line applications for electric power systems reliability assessment, and is capable of determining whether or not a physical solution to the load flow problem exists, or if the system is in a state of voltage collapse.

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What is claimed is: 1. A computer implemented method of measuring load flow in a power generating system having an electrical grid, comprising the steps of:a. generating a first mathematical model of a known, physical solution to load flow equations (L) representing the electrical grid in which all

What is claimed is: 1. A computer implemented method of measuring load flow in a power generating system having an electrical grid, comprising the steps of:a. generating a first mathematical model of a known, physical solution to load flow equations (L) representing the electrical grid in which all voltages are equal to a normal or designed voltage level, and there is no energy flow in links of the electrical grid, said first mathematical model comprising a holomorphic embedding of the load flow equations (L(s)), where s is a variable in a complex domain that includes a value s=0 corresponding to a no load case (L(0)), in which all voltages are equal to a normal or designed voltage level and there is no energy flow in links of the electrical grid, and wherein each variable of the load flow equations (L) is contained in L(s) as a function of the complex variable s by said holomorphic embedding;b. transcribing the holomorphic embedding into software for use in a computer processor adapted to execute said software;c. using analytical continuation in said computer processor to develop a second mathematical model from said first mathematical model, said second mathematical model being of a known, physical solution to the load flow equations (L(s)), where s includes a value s=1corresponding to a current load flow case (L(1)) corresponding to a physical solution to the load flow equations in the power generating system; andd. displaying a representation of the second mathematical model, developed in step c, as a measure of the load flow in the power generating system.