Distributed Optimization for Energy Grids: A Tutorial on ADMM and ALADIN
arxiv(2024)
摘要
The ongoing transition towards energy and power systems dominated by a large
number of renewable power injections to the distribution grid poses substantial
challenges for system operation, coordination, and control. Optimization-based
methods for coordination and control are of substantial research interest in
this context. Hence, this chapter provides a tutorial introduction of
distributed optimization algorithms for energy systems with a large share of
renewables. Specifically, we focus on the Alternating Direction Method of
Multipliers (ADMM) and on the Augmented Lagrangian Alternating Direction
Inexact Newton (ALADIN) method as both algorithms are frequently considered for
coordination and control of power and energy systems. We discuss the
application of ALADIN and ADMM to AC optimal power flow problems and to energy
management problems. Moreover, we give an outlook on open problems.
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