Dual-Loop PI Control for a Dynamic Wireless Electric Vehicle Charging System with Dual-transmitters using 3D Modeling of DD Coils

Dynamic wireless power transfer (DWPT) is an emerging technology for supplying electric vehicles (EVs) with energy while in motion; however, its performance is significantly affected by coupling variation, coil misalignment, and load fluctuations. To address these challenges, this study presents a simulation-based protocol that integrates electromagnetic modeling, circuit-level co-simulation, and coordinated control evaluation for a dual-transmitter single-receiver (DTSR) DWPT system. The methodology begins with three-dimensional electromagnetic modeling of a double-D (DD) coil configuration using a finite-element solver to characterize self- and mutual-inductance variations under misalignment conditions. These parameters are then incorporated into a resonant circuit model to optimize power transfer performance. The complete DTSR system is subsequently implemented in a system-level simulation environment, where a dual-loop proportional-integral (PI) control strategy is applied to regulate output voltage and power under time-varying coupling conditions. The results demonstrate stable power delivery and effective regulation performance across dynamic operating scenarios, including a fixed air gap of 150 mm and varying misalignment conditions. The proposed framework enables systematic evaluation of system dynamics, control response, and power stability. This protocol provides a structured and reproducible workflow for analyzing and validating DTSR-based DWPT systems and supports the development of robust control strategies for dynamic EV charging applications.