Complex coefficient Newton method and its application in dynamic simulation of power system

A new two-level, internal and external, iteration approach associated with a complex coefficient Newton technique is developed for power system dynamic simulation with nonlinear algebra load model. The external-level iteration is used to deal with the linear algebraic equations obtained by applying the trapezoidal rule to the differential equations of each generator at each simulation interval. A complex coefficient Newton technique is used in the internal-level iteration for solutions of a network with a nonlinear constant power load model. The advantage of the two-level iteration approach is that the burden in evaluation of the Jacobian matrix, which is usually a difficult topic, is avoided. Simulation results on the 39-bus New England test power system with 10 generators are given to show the effectiveness and robustness of the approach.