Nonlinear Inductance Matrix Modeling Method for Multi-Winding Transformers

There is often a negative inductance in the equivalent circuit model of a multi-winding transformer, which may cause oscillations in the system's solution. This paper proposes a method for establishing a nonlinear matrix model for multi-winding transformers. The number of parameters to be solved in the matrix model matches the port experimental results, and its nonlinear characteristics can be determined by the transformer nameplate data provided by the manufacturer without additional measurements, which is highly reliable and accurate. The proposed matrix model helps to improve the efficiency of power system solving and greatly reduces measurement costs, it is a simple, accurate and highly worthy of application in system simulation.