An accurate measurement of the hysteresis cycle of magnetic cores is a crucial step in its characterization, due to its nonlinear and past-dependent effects over a design. These effects must be taken into account in order to satisfy the requirements of a power electronic design. In a previous paper; the authors proposed a method for measuring major loops ofhysteresis cycles up to mediumfrequencies given the limitation of the classic method when increasing frequency. In this paper; the capability of this method in measuring non-symmetric loops of the hysteresis cycle at medium frequencies is discussed. Simulated and experimental results are provided.