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Open AccessJournal ArticleDOI

MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education

TLDR
The details of the network modeling and problem formulations used by MATPOWER, including its extensible OPF architecture, are presented, which are used internally to implement several extensions to the standard OPF problem, including piece-wise linear cost functions, dispatchable loads, generator capability curves, and branch angle difference limits.
Abstract
MATPOWER is an open-source Matlab-based power system simulation package that provides a high-level set of power flow, optimal power flow (OPF), and other tools targeted toward researchers, educators, and students. The OPF architecture is designed to be extensible, making it easy to add user-defined variables, costs, and constraints to the standard OPF problem. This paper presents the details of the network modeling and problem formulations used by MATPOWER, including its extensible OPF architecture. This structure is used internally to implement several extensions to the standard OPF problem, including piece-wise linear cost functions, dispatchable loads, generator capability curves, and branch angle difference limits. Simulation results are presented for a number of test cases comparing the performance of several available OPF solvers and demonstrating MATPOWER's ability to solve large-scale AC and DC OPF problems.

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Journal ArticleDOI

Strong SOCP Relaxations for the Optimal Power Flow Problem

TL;DR: This paper proposes three strong second order cone programming (SOCP) relaxations for the AC optimal power flow (OPF) problem that consistently outperforms previously proposed convex quadratic relaxations of the OPF problem and has numerous advantages over existing convex relaxations in the literature.
Journal ArticleDOI

Optimal Distributed Control of Reactive Power via the Alternating Direction Method of Multipliers

TL;DR: This work forms a constrained optimization that aims to minimize power losses subject to finite inverter capacity and upper and lower voltage limits at all nodes in the circuit and explores protocols based on the dual-ascent method and on the alternating direction method of multipliers (ADMMs), finding that the ADMM protocol performs significantly better.
Journal ArticleDOI

Assessing the benefits of residential demand response in a real time distribution energy market

TL;DR: In this paper, the use of Distribution Locational Marginal Price (D-LMPs) in a Real Time (RT) distribution market managed by a Distribution System Operator (DSO) is discussed in presence of empowered residential end-users that are able to bid for energy by a demand aggregator while following Demand Response (DR) initiatives.
Journal ArticleDOI

Distributionally Robust Chance-Constrained Optimal Power Flow With Uncertain Renewables and Uncertain Reserves Provided by Loads

TL;DR: In this article, the authors formulate a chance constrained optimal power flow problem to procure minimum cost energy, generator reserves, and load reserves given uncertainty in renewable energy production, load consumption and load reserve capacities, which ensures that chance constraints are satisfied for any distribution in an ambiguity set built upon the first two moments.
Journal ArticleDOI

The QC Relaxation: A Theoretical and Computational Study on Optimal Power Flow

TL;DR: In this paper, the quadratic convex (QC) relaxation is proposed to preserve stronger links between the voltage variables through convex envelopes of the polar representation of the power flow equations.
References
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Book

Power Generation, Operation, and Control

TL;DR: In this paper, the authors present a graduate-level text in electric power engineering as regards to planning, operating, and controlling large scale power generation and transmission systems, including characteristics of power generation units, transmission losses, generation with limited energy supply, control of generation, and power system security.
Book

Power generation

Journal ArticleDOI

Fast Decoupled Load Flow

TL;DR: This paper describes a simple, very reliable and extremely fast load-flow solution method that is attractive for accurate or approximate off-and on-line routine and contingency calculations for networks of any size, and can be implemented efficiently on computers with restrictive core-store capacities.
Journal ArticleDOI

Power Flow Solution by Newton's Method

TL;DR: The ac power flow problem can be solved efficiently by Newton's method because only five iterations, each equivalent to about seven of the widely used Gauss-Seidel method are required for an exact solution.
Journal ArticleDOI

An open source power system analysis toolbox

TL;DR: Basic features, algorithms, and a variety of case studies are presented in this paper to illustrate the capabilities of the presented tool and its suitability for educational and research purposes.
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