A Quasi-Monte Carlo solution for the mutual inductance of misaligned circular coils

This paper presents a quasi-Monte Carlo method for calculating the mutual inductance of misaligned circular coils which can be useful in the areas of designing and producing the devices based on the mutual inductance (biomedical applications, sensor modelling, wireless battery chargers, etc.). Validation of the method is presented through the examples. The results obtained highly match previously published data that uses other methods which is shown graphically. Advantages of the quasi-Monte Carlo method are the availability of a deterministic bound for error (unlike the probabilistic in the Monte-Carlo method), a faster convergence rate and the high flexibility.