Patent ID: 7519506
Filing Date: 2009-04-14
Classification: G01R,H02J,Y02B,Y02E,Y04S

Abstract:
1. A computer implemented method for determining a state of stability of an electrical grid having n nodes, comprising the steps of: a. embedding load flow equations (L) representing the electrical grid in a holomorphic embedding (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 the value s=1 corresponding to an objective case (L(1)) representative of the electrical grid in a condition for which stability is to be determined, 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, and transcribing the holomorphic embedding into software for use in a computer processor adapted to execute said software; b. developing in power series, values of unknowns in parameters of the holomorphic embedding (L(s)), using said computer processor, wherein the values of s are in a neighborhood of the value for the no load case of each parameter of the load flow equations; c. using said computer processor to compute an n-order algebraic approximant to the power series produced in step b; d. said computer processor evaluating the n-order algebraic approximant produced in step c for the power series produced in step b to provide a solution to the load flow equations (L); and e. displaying the solution to the load flow equations as a measure of a state of stability of the electrical grid.