AI 中文总结
本文针对网侧变流器中传统可调度虚拟振荡器控制的能量耦合问题，提出构造性端口哈密顿能量整形方法，统一幅值调节等功能，经仿真验证可保证稳定性并消除不良潮流解。
AI 中文摘要
端口哈密顿（PH）理论为网侧变流器控制提供了基于无源性的框架，但传统可调度虚拟振荡器控制（dVOC）无法自然地实现耗散性PH形式，因为其幅值调节、同步和功率调度本质上相互耦合，缺乏统一的能量解释。本文将外环动力学建模为耗散性PH系统，从而在单一能量结构内统一幅值调节、同步和功率调度。该建模基于一个关键特性：具有类饱和固有非线性的逻辑型径向调节，可实现与二次储能兼容的精确梯度分解。在此基础上，构造了统一的整形哈密顿函数，其同时包含幅值恢复和功率调度。基于该哈密顿函数推导的径向增益匹配，得到了显式闭式参数不等式，可保证几乎全局渐近稳定性和局部指数收敛。此外，主动调整功率误差加权系数可对能量景观进行整形，从而消除稳态集中中不良的低压潮流解，确保收敛到期望的高压平衡点。海森矩阵奇异性条件进一步提供了保证高压平衡点唯一性的临界权重阈值。数值仿真验证了所提方法的有效性。
英文摘要
Port-Hamiltonian (PH) theory offers a passivity-based framework for grid-forming control, yet conventional dispatchable virtual oscillator control (dVOC) does not naturally admit a dissipative PH realization, since its amplitude egulation, synchronization, and power dispatch are inherently coupled without a unified energy interpretation. This paper formulates the outer-loop dynamics as a dissipative PH system, thereby unifying amplitude regulation, synchronization, and power dispatch within one energy structure. The formulation rests on the key property that logistic-type radial regulation, characterized by an inherent saturation-like nonlinearity, permits an exact gradient decomposition compatible with the quadratic energy storage. On this basis, a unified shaped Hamiltonian is constructed, which encapsulates both amplitude restoration and power dispatch. Radial gain matching derived from this Hamiltonian yields explicit closed-form arameter inequalities that guarantee almost-global asymptotic stability and local exponential convergence. Moreover, tuning the power-error weighting coefficient actively shapes the energy landscape, thereby eliminating the undesirable low-voltage power-flow solution from the stationary set and ensuring convergence to the desired high-voltage equilibrium point. The Hessian singularity condition further provides the critical weight threshold that guarantees uniqueness of the high-voltage equilibrium. Numerical simulations validate the proposed method.
