Hybrid Interpolation Approach to Link Currents and Flux Linkages of Induction Machines

This paper proposes a method to link currents and flux linkages of induction machines by combining trigonometric and scattered data interpolation. The currents and flux linkages of the stator and rotor are gained from transient electromagnetic finite-element-simulations. The relation between currents and flux linkages is a superposition of rotating angle dependency and nonlinear material properties. Both dependencies can be described with the developped hybrid interpolation approach. The validation results show a good agreement between the interpolated signals and comparative signals from finite-element-analysis. The benefit of the proposed method is that it can be coupled with the differential equations to obtain an induction machine model with high accuracy.