Improved Gyrator-Capacitor Modeling of Magnetic Circuits with Inclusion of Magnetic Hysteresis

Gyrator-Capacitor (G-C) models of electromagnetic devices provide a robust and convenient approach for simulation of a combined power device that consists of magnetic and electric/electronic circuits. The G-C model seamlessly links magnetic and electric/electronic sides of the device in a power invariant fashion which is very convenient for integrated system analysis. This paper proposes an improved G-C model for a ferromagnetic circuit, which includes hysteresis besides the core saturation. The approach has been applied to model a Continuously Variable Series Reactor (CVSR) with electromagnetic coupling between two electric circuits, a control dc and a controlled ac circuit. Taking into account the ferromagnetic core nonlinearities, the CVSR behavior is investigated in terms of induced voltages across the windings and the corresponding magnetic flux densities.