Research on Multi-port Collaborative Network Based on High-Order Generalized Averaging Method

Le résumé fourni par la source

With the increasing proportion of renewable energy in power systems, multi-port collaborative network has become a crucial trend in the future development of power systems. When the fundamental frequency of power electronic converters falls over the Nyquist interval of switching frequency, the high-frequency harmonic injection effect from time-varying switching functions dynamically couples with discrete sampling mechanisms, leading to the failure of traditional linear time-invariant decoupling methods and making it difficult to establish accurate mathematical models. To address this issue, this paper proposes a multi-port collaborative grid-forming modeling method based on the High-Order Generalized Averaging Method. By constructing a multi-dimensional Fourier series expansion space, we establish a wide-frequency-band dynamic phasor model covering more than half the switching frequency. For different switching signals, high-order generalized averaging characterizations are established, and a unified state equation for multi-port systems is derived by combining port energy interaction coupling characteristics. A control strategy is also designed based on dynamic phasor synchronization mechanisms. Theoretical analysis and simulation tests demonstrate that this method exhibits significant advantages in both modeling theory and engineering applications.

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