A state space single-phase transformer model incorporating nonlinear phenomena of magnetic saturation and hysteresis for transient and periodic steady-state analysis

An efficient state space single-phase transformer model is presented in this contribution, which incorporates the nonlinear phenomena of magnetic saturation and hysteresis. It is analyzed under transient and periodic steady-state operation conditions. The nonlinearity of saturation and hysteresis is efficiently represented with a novel and simple formulation. Fast periodic steady-state solutions are achieved with the application of a Newton technique for the acceleration of time domain computations. Comparisons are made between conventional methods used for the numerical solution of the transformer represented by a set of ordinary differential equations (ODEs) and the Newton method in terms of full cycles and CPU times needed to obtain the periodic steady-state solution of the network.