AbstractThe two‐dimensional vector magnetic properties are proposed as a method to express the magnetic anisotropy and iron loss precisely by using the relationship between the flux density vector and the magnetic field strength vector. The E&S modeling [6] and the E&SS modeling [7–9] have enabled the representation of the two‐dimensional vector magnetic properties in FEM calculations. However, the calculated flux density waveform at each element has a phase difference depending on the excitation condition. In this paper, we have improved the E&SS modeling to solve the magnetic field problems under any exciting condition. © 2007 Wiley Periodicals, Inc. Electr Eng Jpn, 160(1): 1–9, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20446