PhD Defense - Alessio Cesarano: Shape optimization of rotating electric machines
Thursday, April 17, 2025, 15:30
RICAM, SP2, 416-2
Shape optimization of rotating electric machines
This thesis deals with the shape optimization of rotating electric machines. The main mathematical tool
used is the shape derivative, which gives a sensitivity with respect to the deformation of the domain along
a given vector field. The focus of the project is on the attempt to include time-dependent effects in the
optimization. In one direction, the minimization of eddy currents is achieved solving a sequence of 2D
magnetostatics problems, with the eddy currents being calculated in a finite difference in time approach.
In another direction, the maximization of the average torque is performed with the eddy current equation
as PDE constraint, which is solved in a space-time finite element framework. In addition, multi-objective
shape optimization is addressed and Pareto-optimal points tracing is achieved with the use of homotopy
methods and second order shape derivatives.