Patent Document ID: 20060111860
Application ID: 11323841
Patent Flag: 0

Claim One:
1. A 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)) that goes continuously from a no load case (L(0)), in which all voltages are equal to the normal or designed voltage level and there is no energy flow in links of the grid, to an objective case (L(1)) representative of the grid in a condition for which stability is to be determined; b. developing in power series, values of the load flow equations' unknowns in the parameters of the holomorphic embedding (L(s)) in a neighborhood of the no load case value of each parameter; c. computing an n-order algebraic approximant (for instance a continued fraction approximation) to the power series produced in step b; d. 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.