This letter proposes a general nonlinear control framework for load-sharing and voltage containment of dispatchable generators in dc networks. Our framework covers centralized, distributed, and decentralized control techniques and provides a unified perspective. First, we formulate the control objective as a steady state optimization problem and derive the Karush-Kuhn-Tucker (KKT) conditions. Second, we propose a nonlinear integral controller that drives the system towards a steady state where the KKT conditions are satisfied and the voltages stay within limits. Third, we propose different model-free methods for obtaining the integral set-point, based on the optimality conditions. Finally, we verify the effectiveness of our proposal via MATLAB-based simulations.

中文翻译：

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直流网络中最佳负载分配和电压遏制的非线性控制框架


这封信提出了一种通用非线性控制框架，用于直流网络中可调度发电机的负载分配和电压遏制。我们的框架涵盖了集中式、分布式和分散式控制技术，并提供了统一的视角。首先，我们将控制目标表述为稳态优化问题，并推导出 Karush-Kuhn-Tucker (KKT) 条件。其次，我们提出了一种非线性积分控制器，可驱动系统达到满足 KKT 条件且电压保持在限制范围内的稳定状态。第三，我们根据最优性条件提出了不同的无模型方法来获取积分设定点。最后，我们通过基于 MATLAB 的仿真验证了我们建议的有效性。