Patent ID: 8849614
Filing Date: 2014-09-30
Classification: G01R,H02H,H02J,Y02B,Y02E,Y04S

Abstract:
1. A computer implemented method, comprising: a. for an active power bus in a three-phase power generating system having an electrical grid, said active power bus being modeled in terms of symmetrical components, transforming negative-sequence and zero-sequence admittances into phase-sequence equivalent admittances; b. for a reactive power load in said three-phase power generating system, said reactive power load being modeled in terms of symmetrical components, transforming negative-sequence and zero-sequence admittances into phase-sequence equivalent admittances; c. generating a mathematical model of power flow equations L in terms of three phase components of the three-phase power generating system using the phase-sequence equivalent admittances; d. embedding the mathematical model in a holomorphic embedding of the power 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 there are no non-linear injections at any bus of the electrical grid and the value s=1 corresponding to an objective case (L(1)) representative of the electrical grid in a problem case, and wherein each variable of the power flow equations (L) is contained in L(s) as a function of the variable s by said holomorphic embedding; e. transcribing the holomorphic embedding into software for use in a computer processor adapted to execute said software; f. 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 power flow equations; g. said computer processor evaluating coefficients of the power series by solving resulting linear systems, order after order of the power series, up to an order determined by desired accuracy; h. said computer processor evaluating values for unknowns in said holomorphic embedding for the problem case, s=1; and i. computing the power series summation to the desired accuracy.