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Lecture Notes on Optimal Power Flow (OPF)

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arxiv 1811.00943 v1 pith:AWTDXZBH submitted 2018-11-02 cs.SY cs.SY

Spyros Chatzivasileiadis This is my paper · ORCID
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These lecture notes cover the DC Optimal Power and AC Optimal Power Flow formulations, as well as the Economic Dispatch for Power Systems. Their aim is to supplement the study material for the course "31765: Optimization in modern power systems" at the Technical University of Denmark (DTU). The first edition of the present lecture notes was prepared for the academic year 2018-2019. Note that the material presented in these notes is a constant work in progress. Future editions will include OPF formulations based on semidefinite programming, detailed derivation of Locational Marginal Prices, and other topics. For any comments, errors, or omissions, you are welcome to contact me at "spchatz_at_elektro.dtu.dk". Special thanks to the students of the 31765 course for their remarks and suggestions to improve these lecture notes.

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Cited by 2 Pith papers

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  1. FICA: Faster Inner Convex Approximation of Chance Constrained Grid Dispatch with Decision-Coupled Uncertainty

    math.OC 2025-06 conditional novelty 6.0 of 10

    For Wasserstein joint chance constraints with AGC-coupled uncertainty, FICA provably reproduces the CVaR feasible region while pruning most sample constraints, yielding large speedups.

  2. Quantum Algorithms for Optimal Power Flow

    quant-ph 2024-12 conditional novelty 4.0 of 10

    Preconditioned HHL and VQLS can solve small DC and AC optimal power flow cases with solution costs equal to those from a classical interior point method.

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