3. Simulating Magnetically Linked Circuits

This extends the mathematical model of an inductor described in Chap. 2 to model more than one inductor wound on the same core and therefore, magnetically coupled to each other. Using the basic laws of physics, we examine several separate scenarios to fully understand the phenomenon of magnetic coupling and also express coupled inductors mathematically. We will introduce the concept of mutual inductance, which will provide us with a manner of expressing the effect of the current flowing in one coil on the flux linking the other coupled coil. The simulation model of an inductor will then be extended to model coupled inductors. Using simulation results, we will verify our theoretical discussions. Since the simulation of magnetically coupled inductors can consist of many inductors wound on the same core, we will convert our simulations models to a flexible and scalable model using matrix equations.