Morphing Parametric Modeling and Design Optimization of Spoke and V-type Permanent Magnet Machines by Combined Design of Experiments and Differential Evolution Algorithms

Document Type

Conference Proceeding



Publication Date



Institute of Electrical and Electronics Engineers (IEEE)

Source Publication

2013 IEEE Energy Conversion Congress and Exposition (ECCE)

Source ISSN



In this paper, two novel morphing parametric models for flat-to-V-type (FV) and for spoke-to-V-type (SV) Permanent Magnet (PM) synchronous machine configurations are introduced. A combined multi-objective design optimization method employing Design of Experiments (DOE) and Differential Evolution (DE) algorithms was developed and implemented. A Central Composite Design (CCD) approach combined with the Response Surface Method (RSM) was used to perform a sensitivity study from which the significant independent design variables were selected for the DE design optimization procedure. A computationally efficient-Finite Element Analysis (CE-FEA) technique was employed to evaluate the electromagnetic performance of the candidate designs. Three optimization objectives are concurrently considered for minimum material cost, power losses and torque ripple, respectively. The DE optimization results enable the systematic comparison of three interior permanent magnet (IPM) motor topologies: flat-type, generic V-shape and spoke, respectively. A discussion on the relative merits of each topology is included.


Published as part of the proceedings of the conference, 2013 IEEE Energy Conversion Congress and Exposition (ECCE), 2013. DOI.