A numerical method for calculation of electromagnetic circuits using the tableau approach

This paper presents a new method for solving the transient response problems of electric and magnetic circuits coupled with each other. Using the nodal analysis method the electromagnetic circuits are represented in a tableau form, T.X = b, and are calculated to obtain the geometrical distribution and the time dependence of circuit variables. The tableau form is a matrix equation, and the equation consists of two parts. The one is an equation of electric circuits related with external and eddy currents, and the other is an equation of magnetic circuits given by the geometrical discretization of machines. Taking the hysteresis and the eddy-current effects into account, the transient response of an iron cored reactor is calculated numerically to demonstrate this method. Numerical and experimental results are compared and satisfactory agreement is found.