Numerical Optimal Control Strategy for Series Tuned IPT Systems

Compared to traditional strategies using single, two or three control variables, an optimal control strategy using four control variables can achieve optimal performance when mutual inductance (M) and output power
$(P_{out})$
vary largely. For Series-Series (SS) compensated IPT systems, the optimum values for four control variables can be determined analytically using the optimal conditions, related to load impedance matching, minimizing secondary reactance, and operation of both the primary and secondary side converters with soft switching. Due to its highly non-linear and complex nature, the analytical approach cannot be used for all different types of compensation networks. This paper, therefore, proposes a numerical technique that can be used to determine the optimal conditions and subsequent optimal parameter values for any type of compensation network. Results of a SS compensated IPT system are presented in comparison to the traditional analytical approach to demonstrate the efficacy of the proposed numerical method.