Multimaterial Filtering applied to Topology Optimization of a Permanent Magnet Synchronous Machine

This paper proposes a generalized multi-material filtering formalism in density-based topology optimization. This work’s novelty is the consideration of the periodic and anti-periodic boundary conditions commonly used to simulate electrical machines, which change the nature of the materials located outside the simulation zone. It affects the filtering, which relies on a convolutive averaging of the materials’ properties near the boundaries. The implementation is detailed and applied to the topology optimization of a permanent magnet machine rotor.