Bifurcation Diagram Generation with PSCAD/EMTDC and Multiple Poincare Map

Abstract

Bifurcation diagram is an important mathematical tool for the analysis of ferroresonance in the electrical power system. Bifurcation diagram can clearly present the behaviors of the nonlinear system. The general method for the generation of steady state bifurcation diagram is based on Ordinary Differential Equation (ODE) of the simplified single-phase circuit and the continuation technique. This paper proposes the application of PSCAD/EMTDC simulation program and the bruteforce technique to generate time response of the three-phase power system. A new device tool “Multiple Poincaré Map” is created and used with File Read and XY Plot to produce bifurcation di agrams with respect to changes of controlled parameters. Two examples related to ferroresonances in the distribution systems are presented. Bifurcation diagrams generated with the PSCAD/EMTDC and Multiple Poincaré Map confirm that the results from the simulation are in good agreement with the results from field tests.