Models of magnetic circuits and their equivalent electrical diagrams

The paper presents a method of creating electrical equivalent diagrams of m agnetic circuits. The method is based on bond-graph techniques, using flux derivative as flow variable. Couplings between magnetic and electric part o f the system are represented by gyrators. Simple models of magnetic branche s, including non-linear effects due to saturation, hysteresis and eddy curr ents, are presented. These models can be easily combined into magnetic circ uit models, which can be transformed into dual electric equivalent circuit. Various equivalent circuits of transformers are discussed. The proposed mo dels are simple and particularly useful for system-level simulation of powe r electronic and motion control systems with magnetic elements. These model s can be easily developed if needed. Theoretical considerations are illustr ated by examples of digital simulation and experimental results.