This master thesis presents the results of sensitivity analysis and optimization method based on surrogate models of a synchronous motor with surface-mounted magnets (PMSM). In the first part of the thesis, the analysis of the output characteristics of the reference design motor has been performed on the finite element based numerical model with rated power of 1100 W, which is integrated into an automotive electric steering mechanism.
The main goal of the thesis was to minimize the presence of the cogging torque and the total cost of the reference motor design via sensitivity analysis and the motor geometry optimization. In addition, the remanent magnetic flux density of the magnets and the electric current density have also been included into the optimization process in order to improve the motor characteristics and to reduce its total cost, while still complying with the manufacturing requirements.
The master thesis was performed in collaboration with a company from the automotive industry on the empirically validated 2D numerical model of the motor with permanent magnets. The tolerances of the manufacturing procedure have not been considered in the model. The numerical model has been built using the commercial software Ansys Maxwell, while the sensitivity analysis and the optimization procedure have been performed in Ansys Optislang software environment.
The theoretical background of the optimization based on surrogate models and basics of the sensitivity analysis, including the multi-objective optimization procedure with the evolutionary algorithms, based on which the Ansys Optislang optimization algorithm works, are also described in the thesis. The mathematical algorithm of the Ansys Optislang systematically varies the values of the input design parameters of the motors within the full potential optimization range which was determined in advance. The boundaries of optimization range (which is equal to the sensitivity analysis range) have been determined with the dimensions of the reference motor design and the analytically calculated motor design values.
The important contribution of this master thesis is also the software tool, written in the Python programming language, to accurately calculate the stator winding resistance and to evaluate the feasibility of the stator windings insertion into the stator slots of the proposed motor design by the Ansys Optislang optimization procedure.
The final results of the sensitivity analysis and the optimization procedure indicated that the cogging torque and the total costs of the PMSM motor can be successfully reduced by 37 %and 5 %, respectively. These results are important also for the prototype manufacturing and also for future development of the PMSM motors which will take into account also the manufacturing tolerances, results of the permanent magnets demagnetization tests and other test which are important for the production process of newly designed machines.
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