Energetic Macroscopic Representation of Scalable PMSM for Electric Vehicles

In this paper, an innovative model structuration is proposed to describe scaled Permanent Magnet Synchronous Machines (PMSM) at system level. By using the Energetic Macroscopic Representation formalism (EMR), the equations of the scaling laws are reorganized. The restructuration consists of a reference PMSM model complemented with two electrical and mechanical power adaptation elements. These latter elements take care of the scaling effects, including the power losses. The methodology is applied to scale the power of a PMSM for an electric vehicle, by a factor of 2. According to the studied designs, an average efficiency from 83.7% to 87.1% is obtained during an urban driving cycle.