Performance Comparison of the SGM and the SCM in EMC Simulation

Uncertainty analysis methods are widely used in today's electromagnetic compatibility simulations in order to take account of the nonideality and unpredictability in reality and improve the reliability of simulation results. The Stochastic Galerkin Method (SGM) and the Stochastic Collocation Method (SCM), both based on the generalized polynomial chaos expansion theory, have become two prevailing types of uncertainty analysis methods thanks to their high accuracy and high computational efficiency. This paper, by using the feature selective validation method, presents the quantitative accuracy comparison between the foregoing two methods, with the commonly used Monte-Carlo method (MCM) used as the comparison reference. This paper also introduces SCM into the CST software simulation as an example of performing uncertainty analysis. The advantages and limitations of SGM and SCM are discussed in detail in this paper. Finally, the strategy of how to choose among SGM, SCM, and MCM under different situations is proposed in Section VII.