A state space three-phase multilimb transformer model in the time domain: fast periodic steady state analysis

Abstract

In this contribution, a state space three-phase multilimb transformer model is proposed and applied to the computation of fast and efficient periodic steady state solutions. The model takes into account the physical dimensions at different regions of the magnetic core and the effects of nonlinear saturation and winding electrical connections, respectively. The full transformer electromagnetic model is represented by a set of algebraic and ordinary differential equations (ODEs), solved in the time domain by the fourth order Runge-Kutta integration method. A case study is presented to illustrate and demonstrate the potential of the proposed transformer model. The periodic steady state solution is efficiently obtained in the time domain by a Newton procedure for the acceleration of the convergence of the state variables to the limit cycle.