Data-Driven Modeling and Control Considering Time Delays for WPT System

A controller for output voltage and power regulation is important for the wireless charging system. For the controller design, it is crucial to establish the accurate system model with considering the time delay, as high time delay exists due to wireless communication, data sampling, and processor calculations for a practical wireless power transfer system. Presently, the common modeling methods, such as the coupled-mode method are based on circuit theories and the component parameters. However, the exact parameters are hard to get due to the diversity of the equipment and application scenarios. Especially, the circuit theories modeling cannot deal with the time delay from hardware limitation and wireless communication. Alternatively, a data-driven modeling method based on the simplified refined instrumental variable method is proposed in this article to get the control-oriented model with time delay. Moreover, based on the estimated model, a controller based on the internal model control is designed to regulate the output voltage. It is shown that the models obtained based on different sampling times are able to accurately describe the system dynamics and the controllers designed based on them are able to achieve the desired control performance.