Macroscopic Description of the Magnetostrictive Behavior of Electrical Steel in the Presence of High-Order Harmonics in the Magnetization

Magnetostrictive behavior of the electrical steel cores of transformers and electrical machines has been studied under well-known excitation waveforms, e.g., purely sinusoidal. However, the magnetization may contain higher harmonics due to the grid harmonics for the application in transformers or due to pulse width modulation excitation in the case of induction machines. We have reported the presence of a single low-order harmonic in magnetization, but in reality, a superposition of several low- and high-order harmonics is present, which needs to be studied. Thus, in this paper, the magnetostrictive behavior of electrical steel is measured under a sinusoidal magnetization with high-order harmonics. A macroscopic description of the magnetostrictive behavior is presented afterward.