Adaptive Coupling of Differential Evolution and Multiquadrics Approximation for the Tuning of the Optimisation Process

 Transient simulation times for field-circuit coupled models of realistic electromagnetic devices become unacceptably high. A magnetodynamic formulation is coupled to an electric circuit analysis, yielding a sparse, symmetric and indefinite matrix. The unknown circuit currents correspond to negative eigenvalues in the matrix spectrum. The Quasi-Minimal Residual method performs better than the Minimal Residual approach that is restricted to positive definite preconditioners. The positive definite variant is solved by the Conjugate Gradient method without explicitly building the dense coupled matrix. As an example, both approaches are applied to an induction motor. Index Terms  Iterative methods, electromagnetic coupling, finite element methods, induction motors.