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

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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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Citations
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Tight-and-cheap conic relaxation for the AC optimal power flow problem

TL;DR: In this paper, a conic relaxation obtained by combining semidefinite optimization with the reformulation-linearization technique, commonly known as RLT, was proposed, which is stronger than the second-order cone relaxation and nearly as tight as the standard semideinite relaxation.
Proceedings ArticleDOI

Toward topologically based upper bounds on the number of power flow solutions

TL;DR: This paper empirically explores the relationship between the network topology, as characterized by the maximal cliques, and the number of power flow solutions, using a numerical polynomial homotopy continuation approach that is guaranteed to find all complex solutions to the power flow equations.
Proceedings ArticleDOI

Enforcing Policy Feasibility Constraints through Differentiable Projection for Energy Optimization

TL;DR: In this paper, a differentiable projection layer is incorporated within a neural network-based policy to enforce that all learned actions are feasible, and the policy is updated end-to-end by propagating gradients through this differentiable projections, making the policy cognizant of operational constraints.
Journal ArticleDOI

Secure Distributed Dynamic State Estimation in Wide-Area Smart Grids

TL;DR: Numerical studies illustrate that the proposed mechanism offers reliable state estimation under regular system operation, timely and accurate detection of anomalies, and good state recovery performance in case of anomalies.
Journal ArticleDOI

Information gap decision theory for voltage stability constrained OPF considering the uncertainty of multiple wind farms

TL;DR: The main feature of the proposed VSC-OPF model is to handle the uncertainty of multiple wind farms in a way that for a given worsening of total cost, maximum tolerable uncertainty of wind power generation is achieved for all WFs.
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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