Patent Document ID: 20110257933
Application ID: 13152994
Patent Flag: 0

Claim One:
1. A computer implemented method of measuring power flow in a three-phase power generating system having an electrical grid, comprising the steps of: a. for any PV bus being modeled in terms of symmetrical components, transforming negative-sequence and zero-sequence admittances into phase-sequence equivalent admittances; b. for any PQ 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 system using the 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 complex variable s by said holomorphic embedding; d. transcribing the holomorphic embedding into software for use in a computer processor adapted to execute said software; e. 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; f. said computer processor evaluating coefficients of the power series expansion by solving resulting linear systems, order after order of the power series, up to an order determined by desired accuracy; g. said computer processor evaluating values for the equation's unknowns in the problem case, s=1; and h. computing the power series summation to the desired accuracy.