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Chapter 4 presents a comprehensive mathematical framework for optimizing modulation strategies aimed at minimizing various loss elements and practical insights for implementing these strategies in hardware for three-port DC-DC-DC and DC-DC-AC converters using the Triple Active Bridge (TAB) topology. The chapter begins by precisely quantifying power losses in the high-frequency switching network of a TAB, expressing them as functions of phase shift, duty cycle, and frequency control variables. This analysis leverages the Generalized Harmonic Approximation (GHA) based TAB circuit model developed in Chapter 2 . Building on this, a multivariable nonlinear optimization program is formulated to determine the optimal TAB control parameters based on specific operating load and voltage conditions. Finally, a mathematical framework is developed for synthesizing polynomial regression models that express the optimal control variables as nonlinear functions of the operating load and AC voltage phase conditions in a DC-DC-AC TAB converter. These models are designed to be directly implementable in digital control hardware.

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Switching Modulation Optimization in 3-Port TAB DC-DC and DC-AC Bidirectional Converters

  • 章节

  • 发表日期：

    2025年

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  • Ayan Mallik,
  • Saikat Dey

摘要

Chapter 4 presents a comprehensive mathematical framework for optimizing modulation strategies aimed at minimizing various loss elements and practical insights for implementing these strategies in hardware for three-port DC-DC-DC and DC-DC-AC converters using the Triple Active Bridge (TAB) topology. The chapter begins by precisely quantifying power losses in the high-frequency switching network of a TAB, expressing them as functions of phase shift, duty cycle, and frequency control variables. This analysis leverages the Generalized Harmonic Approximation (GHA) based TAB circuit model developed in Chapter 2 . Building on this, a multivariable nonlinear optimization program is formulated to determine the optimal TAB control parameters based on specific operating load and voltage conditions. Finally, a mathematical framework is developed for synthesizing polynomial regression models that express the optimal control variables as nonlinear functions of the operating load and AC voltage phase conditions in a DC-DC-AC TAB converter. These models are designed to be directly implementable in digital control hardware.