Transient stability constrained distributed optimal dispatch for microgrids: A state‐based potential game approach

Abstract

Abstract The increasing proportion of renewable energy generation (REG) brings severe challenges to the optimal dispatch and stability control of microgrids. On the one hand, the dynamics of REG result in new stability problems. On the other hand, it is difficult to harmonize the benefits of distributed generators (DGs) since they often belong to different owners. To this end, this paper proposes a distributed optimal dispatching method using state‐based potential game theory, which considers both system stability and individual economy. First, an optimal dispatching model is constructed for microgrid containing various DGs. The transient stability constraint (TSC) of microgrid is given based on dissipation theory. Then, by treating each node as an agent, the optimization model is converted into a multi‐agent potential game with a state space. And a distributed algorithm is developed which is capable of handling coupled constraints. To implement the proposed method, updating rules are designed with respect to TSC based on Gerschgorin theorem, and the convergence of the algorithm are discussed. Simulation and experimental results show that the proposed method can maximize the benefits of each DG without the participation of control centre, while the ability of the microgrid to resist large disturbances is also guaranteed.

Keywords

• distributed optimization
• economic dispatch
• microgrids
• state‐based potential game
• transient stability constraint