Distributed optimization for energy grids: a tutorial on ADMM and ALADIN
Lukas Lanza, Timm Faulwasser, Karl Worthmann · 2024
The ongoing transition toward energy and power systems dominated by renewable power injections to the distribution grid poses severe challenges for system operation, coordination, and control. Optimization-based methods for coordination and control are of substantial research interest in this context. In this regard, we provide a tutorial introduction of distributed optimization algorithms for energy systems with a large share of renewables, such as, e.g., microgrids in residential areas. 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. Exemplarily, we discuss the application of ALADIN and ADMM to AC optimal power flow and to energy management in microgrids. Moreover, we give an outlook on open problems.