The calculation of magnetic flux linkage in flux-reversal permanent magnet machines is critical for analyzing their electromagnetic characteristics. However

traditional magnetic flux linkage models exhibits significant discrepancies compared with finite-element simulation results

making it challenging to accurately quantify the magnetic flux-modulation effects in flux-reversal permanent magnet machines. In this article

an improved magnetic flux linkage calculation model is proposed to reduce the errors between theoretical calculations and finite element simulations. Firstly

the sources for calculation errors in traditional magnetic flux linkage models are demonstrated. Then

an improved magnetic flux linkage calculation model based on the air-gap filtering effect and stator slotting effect in flux-reversal permanent magnet machines is proposed. Finally

using this model

the contributions of various harmonic magnetic flux components to the magnetic flux linkage and torque are quantitatively analyzed. These results further reveal the magnetic flux-modulation effect in flux-reversal permanent magnet machines. The error between the traditional magnetic flux linkage calculation model and finite element simulation results is 14.7%

whereas the improved magnetic flux linkage calculation model reduces the error to 0.6%. The improved model is validated and its accuracy is verified through finite element simulations and experiments.