Distributed Optimization in Electric Power Systems
Summary
Distributed optimisation has emerged as a cornerstone in the evolution of modern electric power systems, enabling large‐scale coordination without reliance on a centralised controller. By partitioning complex network models into smaller, locally solvable subproblems, operators can integrate high penetrations of renewable energy, demand response and energy storage while respecting privacy and reducing communication burdens. Techniques such as dual decomposition, the alternating direction method of multipliers and augmented Lagrangian methods offer convergence guarantees under convexity assumptions and extend to non-convex settings via tailored relaxations. The shift towards prosumer-rich environments and hybrid AC/DC microgrids has driven innovations in game-theoretic formulations, multi-agent learning and peer-to-peer market mechanisms. These advances underpin resilient and adaptive smart grids, allowing rapid adjustment to forecasting errors, network reconfigurations and cyber-physical contingencies. Global pilot deployments have demonstrated reductions in operational costs, line losses and carbon emissions, while maintaining system security and voltage stability.
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Distributed Optimization in Electric Power Systems publication trend
The graph below shows the total number of articles in distributed optimization in electric power systems across all publications each year (not limited to Nature Index journals).
Technical terms
Distributed optimisation: A computational paradigm splitting a large optimisation problem into smaller subproblems solved by multiple agents that coordinate to achieve a global objective.
Optimal power flow (OPF): A class of problems that determines the most efficient operating conditions for an electric power system under given constraints.
Alternating direction method of multipliers (ADMM): An algorithm that decomposes optimisation problems into subproblems, solves them iteratively, and enforces consensus among agents.
Prosumer: An entity that both consumes and produces electricity, often via distributed renewable resources, and participates in grid operations.
Microgrid: A localized group of interconnected loads and distributed energy resources that can operate autonomously or in conjunction with the main grid.
References
- Noncooperative Equilibrium-Seeking in Distributed Energy Systems Under AC Power Flow Nonlinear Constraints. IEEE Transactions on Control of Network Systems (2022).
- Distributed power flow and distributed optimization—Formulation, solution, and open source implementation. Sustainable Energy Grids and Networks (2021).
- Optimal Power Flow in Distribution Network: A Review on Problem Formulation and Optimization Methods †. Energies (2023).
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