Using Composite Backward Differentiation for Electromagnetic Transient Simulation

Abstract

Electromagnetic transient simulation using a linear composite one-step 2-stage backward differentiation is discussed. The stability and accuracy of the method is found effective for the solution of stiff differential equations and thus is useful for electromagnetic transient simulation. Implementation of this method is done using the equivalent impedance approach and a comparison is made with trapezoidal integrator. Simulation results show that this method can be used at comparatively higher simulation time-steps with comparable accuracy as trapezoidal integration, but without numerical oscillations.