Non-Iterative Solution for Coordinated Optimal Dispatch Via Equivalent Projection—Part I: Theory

Coordinated optimal dispatch is of utmost importance for the efficient and secure operation hierarchically structured power systems. Conventional coordinated optimization methods, such as Lagrangian relaxation Benders decomposition, require iterative information exchange among subsystems. Iterative coordination methods have drawbacks including slow convergence, risk oscillation divergence, incapability multi-level problems. To this end, paper aims at non-iterative method hierarchical The theory equivalent projection (EP) proposed, which makes external equivalence model subsystem. Based on EP theory, a framework developed, where each subsystem submits substitute its original to participate in cross-system coordination. proposed proven guarantee same optimality joint optimization, with additional benefits avoiding exchange, protecting privacy, compatibility practical scheme, capability