The SST is one of the determining elements of the smart grid since it has the functionalities of a conventional transformer and allows an appropriate integration of distributed generation sources, loads, and energy storage devices with the traditional power grid.The interest in updating electrical networks and the possibility of having power semiconductor devices with better features (e.g., reliability and efficiency) have encouraged the production of elements, such as a Solid-State Transformer (SST). The SST is one of the determining elements of the smart grid since it has the functionalities of a conventional transformer and allows an appropriate integration of distributed generation sources, loads, and energy storage devices with the traditional power grid, in addition to having system functionality advantages such as unity power factor, mitigation of sags and swells, improving system efficiency and quality, and allowing a bidirectional flow of power. For this reason, the SST could replace the traditional transformer, considering the advantages it offers functional and physicals (less weight and volume). The intelligent energy management of an SST in a smart grid is feasible through the regulation of the power flow in its central device so-called Dual Active Bridge (DAB), which due to its topology (two half-bridge and a high-frequency link) make possible the bidirectionally on the power flow and permit the interconnection of renewable sources and other elements dc into a smart grid, and that in this way the advantages of SST can be made available within a power system. Hence, this work focuses on proposing a current controller based on Proportional-Integral (PI) passivity that regulates the power flow bidirectionally in a DAB. The proposed controller guarantees the system’s stability in a closed-loop, maintaining its passive properties. In addition, this controller preserves the simplicity of a PI control with high performance and robustness, where its control law is simple and does not depend on the converter’s parametersMaestríaMagíster en Ingeniería EléctricaTable of Contents 1 Introduction 7 1.1 Definition of the Problem . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Justification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Research Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.1 Overall objective . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.2 Specific objectives . . . . . . . . . . . . . . . . . . . . . . 9 1.4 Literature Review . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.5 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.6 Document structure . . . . . . . . . . . . . . . . . . . . . . . . . 13 2 Dynamical Model of a DAB 14 2.1 DAB Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 DAB Model as a Port-Hamiltonian System . . . . . . . . . . . . . 16 3 PI Passivity-Based Control 18 3.1 Port-Hamiltonian Passive System . . . . . . . . . . . . . . . . . . 18 3.2 PI-PBC Controller Design and Stability Analysis . . . . . . . . . . 19 3.3 DAB Controller Design . . . . . . . . . . . . . . . . . . . . . . . . 20 4 Simulations and Experimental Results 22 5 Conclusions 37 6 Appendices 43 6.1 Appendix A. Gate drivers schematic. . . . . . . . . . . . . . . . . 43 6.2 Appendix B. Voltage signal conditioning circuit. . . . . . . . . . . 44 6.3 Appendix C. Current signal conditioning circuit. . . . . . . . . . . 44 6.4 Appendix D. PI-PBC control diagram for DAB converter and C2000 processor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 6.5 Appendix E. Classical PI control diagram for DAB converter and C2000 processor . . . . . . . . . . . . . . . . . . . . . . . . . . . 45