A Survey of Relaxations and Approximations of the Power Flow Equations

By Daniel D. Molzahn, I. A. Hiskens. Foundations and Trends® in Electric Energy Systems, 2019

435 citations recorded by the source corpus.

The power flow equations model the relationship between voltage phasors and power injections at nodes (buses) in an electric power system and are fundamental in their analysis and operation. A wealth of literature exists on these equations, many providing different representations of them. This monograph provides the first comprehensive survey of representations in the context of optimization. To achieve this the power flow representations surveyed are categorized as either relaxations or approximations. The techniques described in here form the basis of running an optimally efficient modern day power system. A Survey of Relaxations and Approximations of the Power Flow Equations is a must-read for all students and researchers working on the cutting edge of electric power systems.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/97911c80e383b50209bcb7a70814543a7bb6d5a9

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In Electrical and Electronic Engineering

Citations in the corpus

The Power Grid Library for Benchmarking AC Optimal Power Flow Algorithms (2019, background): “To address the information that is missing in these datasets, the next section reviews a number of data-driven models that can be used to ﬁll in these gaps.”
Grid-Aware Aggregation and Realtime Disaggregation of Distributed Energy Resources in Radial Networks (2019, methodology): “To overcome the computational challenges associated with non-convex AC network models, many recent techniques involve using linear or convex approximations [8].”