A Nonlinear Control Framework for Optimal Load-Sharing and Voltage Containment in DC Networks

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.