Hybrid Solid State Transformer Control with Mixed Model Predictive Control and Classical Linear Control

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Abstract
This paper presents the initial implementation of a model predictive control (MPC) strategy applied to a Hybrid Solid-State Transformer (HSST) architecture. The HSST integrates low-frequency transformers and power electronic converters to enhance efficiency and control flexibility. MPC algorithms were applied in all stages for fast and optimized switching decisions. In rectifier and inverter stages, a Finite Control Set MPC was implemented: the rectifier was represented by a first-order equivalent circuit, while the inverter was modeled using state-space equations, enabling accurate voltage and current prediction. The isolation stage, based on a Dual Active Bridge (DAB), employed a predictive control with adaptive step size to determine the optimal phase shift for power transfer. Each stage applies a specific cost function to regulate its respective electrical quantities. The proposed strategies are expected to enhance control performance and serve as a foundation for the future implementation of predictive control architecture in HSST systems.