Optimal design of electric machines by using genetic algorithms: mathematical apparatus to determine machine parameters

This paper presents a mathematical apparatus that allows calculating the magnetic flux density in the air gap of electrical machines with sufficient accuracy for use in the method of optimal design of electric machines based on genetic algorithms. The mathematical model has been developed in cylindrical coordinates. The novelty and contribution of this work is the solution of the problem of analyzing the magnetic field in an analytical form and in cylindrical coordinates without the use of finite element methods and specialized software packages. The approach described reduces the labor costs in the simulation and estimated time for the engineering design process by using genetic algorithms. The correctness and high accuracy of the developed mathematical model has been confirmed experimentally. The discrepancy between analytical and experimental data is below 5%. The developed mathematical apparatus can be used for the design of new perspective electrical machines by using genetic algorithms.