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DC optimal power flow: Uniqueness and algorithms

Chee Wei Tan, Desmond W. H. Cai, Xin Lou
2012 2012 IEEE Third International Conference on Smart Grid Communications (SmartGridComm)  
The optimal power flow (OPF) problem minimizes the power loss in an electrical network by optimizing the voltage and power delivered at the network nodes, and is generally hard to solve.  ...  This serves as a starting point to design local algorithms with global behavior that have low complexity and are computationally fast for practical smart power grids.  ...  We study the Direct Current (DC) Optimal Power Flow (DC-OPF), i.e., for a purely resistive network.  ... 
doi:10.1109/smartgridcomm.2012.6486058 dblp:conf/smartgridcomm/TanCL12 fatcat:omvjblsivjdxhcg3cvsnmphkum

DeepOPF: Deep Neural Network for DC Optimal Power Flow [article]

Xiang Pan, Tianyu Zhao, Minghua Chen
2020 arXiv   pre-print
We develop DeepOPF as a Deep Neural Network (DNN) approach for solving direct current optimal power flow (DC-OPF) problems.  ...  DeepOPF is inspired by the observation that solving DC-OPF for a given power network is equivalent to characterizing a high-dimensional mapping between the load inputs and the dispatch and transmission  ...  THE OPTIMAL POWER FLOW PROBLEM We review the formulations of general OPF and DC-OPF problems in this section.  ... 
arXiv:1905.04479v5 fatcat:jwomlf5i5ra4ximzq5b5ipllae

Stochastic DC Optimal Power Flow With Reserve Saturation [article]

Rohit Kannan and James R. Luedtke and Line A. Roald
2019 arXiv   pre-print
We propose an optimization framework for stochastic optimal power flow with uncertain loads and renewable generator capacity.  ...  This is a particularly interesting feature in models where wind power plants, which have uncertain upper generation limits, are scheduled to provide reserves to balance load fluctuations.  ...  CONCLUSION AND FUTURE WORK We propose a stochastic DC optimal power flow model with reserve saturation.  ... 
arXiv:1910.04667v1 fatcat:4xpe3pk54jbfrfnj5gru6gq7ei

Worst-Case Sensitivity of DC Optimal Power Flow Problems [article]

James Anderson, Fengyu Zhou, Steven H. Low
2020 arXiv   pre-print
In this paper we consider the problem of analyzing the effect a change in the load vector can have on the optimal power generation in a DC power flow model.  ...  Using the discrete formulation, we provide a decomposition algorithm that reduces the computational cost of computing the worst-case sensitivity.  ...  Network Model and DC Power Flow We consider a DC power flow formulation.  ... 
arXiv:2004.01572v1 fatcat:533ouawal5harn7v42srs6o74u

DeepOPF: A Deep Neural Network Approach for Security-Constrained DC Optimal Power Flow [article]

Xiang Pan, Tianyu Zhao, Minghua Chen, Shengyu Zhang
2020 arXiv   pre-print
We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power  ...  We then directly reconstruct the phase angles from the generations and loads by using the power flow equations.  ...  The phase angles on each bus can be uniquely determined by solving the power flow equations in (7) . The feasibility of the power flow on each line is evaluated by (11) .  ... 
arXiv:1910.14448v3 fatcat:qvscy4qsnzepdn2hmbwcjfffga

Optimal Power Flow for DC Networks with Robust Feasibility and Stability Guarantees [article]

Jianzhe Liu, Bai Cui, Daniel K. Molzahn, Chen Chen, Xiaonan Lu, Feng Qiu
2021 arXiv   pre-print
Most existing DC network optimal power flow (DN-OPF) formulations assume exact knowledge of loading conditions and do not provide stability guarantees.  ...  existence of a feasible and stable power flow solution.  ...  set in R n inside which a unique power flow solution v e * is guaranteed to exist for every p ∈ P .  ... 
arXiv:1902.08163v2 fatcat:vfs7rzkiyfcivle2662qcjrwqq

Mathematical Study of Very High Voltage Power Networks I: The Optimal DC Power Flow Problem

J. Frédéric Bonnans
1997 SIAM Journal on Optimization  
N˚2408 Décembre 1994 PROGRAMME 5 Traitement du signal, automatique et productique Mathematical study of very high voltage power networks I: The optimal DC power ow problem J.  ...  We obtain an analytic expansion for the optimal value and the solution.  ...  These algorithms can be used for solving the power ow problem (without optimization) as well as for the optimal power ow problem.  ... 
doi:10.1137/s1052623494278025 fatcat:42vub5tcjbblhbbikcndcb2n6q

Importance sampling approach to chance-constrained DC optimal power flow [article]

Aleksander Lukashevich, Vyacheslav Gorchakov, Petr Vorobev, Deepjyoti Deka, Yury Maximov
2021 arXiv   pre-print
In order to improve power grid security, we investigate a joint chance-constrained (CC) direct current (DC) optimal power flow (OPF) problem.  ...  The problem aims to find economically optimal power generation while guaranteeing that all power generation, line flows, and voltages simultaneously remain within their bounds with a pre-defined probability  ...  We have used DC power flow cases accessible in Matpower [34] and PowerModels.jl [30] .  ... 
arXiv:2111.11729v1 fatcat:4pjajaq5rbffrdp7mko6b6gm5y

Optimizing power flow of AC–DC power systems using artificial bee colony algorithm

Ulaş Kılıç, Kürşat Ayan
2013 International Journal of Electrical Power & Energy Systems  
In this study, the optimal power flow solution of alternating current-direct current (AC-DC) power systems is firstly accomplished by using the artificial bee colony (ABC) algorithm that is one of the  ...  Optimal power flow (OPF) is one of the known problems of the power systems. Many numerical and heuristic methods were used to solve this problem so far.  ...  ABC algorithm based optimal power flow solution of AC-DC power system is explained in Section 4.  ... 
doi:10.1016/j.ijepes.2013.05.036 fatcat:orq3452k3vhrhnccfca43gqm5i

Distributed DC Optimal Power Flow for radial networks through partial Primal Dual algorithm

Vahid Rasouli Disfani, Lingling Fan, Zhixin Miao
2015 2015 IEEE Power & Energy Society General Meeting  
In this paper, a distributed method is presented to solve DC Optimal Power Flow (DC-OPF) for radial networks based on partial Primal-Dual algorithm.  ...  The algorithm is tested on a radial power network with and without network congestion, where the results converge to the optimal solution.  ...  Algorithm 1 Distributed Algorithms for DC Optimal Power Flow initialize vectors λ and π while Convergence is not met do for all i ∈ N do for all j : (i, j) ∈ E do Receive λ j from the neighboring agent  ... 
doi:10.1109/pesgm.2015.7286528 fatcat:mzlfk3k5s5cuhl6xucpug2iaty

Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems [article]

Tianyu Zhao, Xiang Pan, Minghua Chen, Steven H. Low
2021 arXiv   pre-print
We apply the preventive learning framework to develop DeepOPF+ for solving the essential DC optimal power flow problem in grid operation.  ...  The first one from characterizing the sufficient DNN size can guarantee universal feasibility while the other from the proposed training algorithm further improves optimality and maintains DNN's universal  ...  V, we apply the framework to design a DNN scheme, DeepOPF+, for solving DC optimal power flow (DC-OPF) problems in grid operation.  ... 
arXiv:2112.08091v1 fatcat:pb5akvas5fhc5ovuedud2yizb4

A Decentralized Implementation of DC Optimal Power Flow on a Network of Computers

P.N. Biskas, A.G. Bakirtzis, N.I. Macheras, N.K. Pasialis
2005 IEEE Transactions on Power Systems  
This paper presents a decentralized implementation of the DC Optimal Power Flow (OPF) problem on a network of workstations.  ...  The parallel processing system is tested on various test systems, including a large real-world system, the Balkan power system. Index Terms-Decentralization, optimal power flow, parallel processing.  ...  The remaining branch power flow constraints are assumed to be inactive in the optimal solution, and the corresponding Lagrange multipliers zero.  ... 
doi:10.1109/tpwrs.2004.831283 fatcat:ai32bbzvrzbuxgnzupiykqd3m4

Resistive Network Optimal Power Flow: Uniqueness and Algorithms

Chee Wei Tan, Desmond W. H. Cai, Xin Lou
2015 IEEE Transactions on Power Systems  
The optimal power flow (OPF) problem minimizes the power loss in an electrical network by optimizing the voltage and power delivered at the network buses, and is a nonconvex problem that is generally hard  ...  By leveraging a recent development on the zero duality gap of OPF, we propose a second-order cone programming convex relaxation of the resistive network OPF, and study the uniqueness of the optimal solution  ...  INTRODUCTION The Optimal Power Flow (OPF) problem is a classical nonlinear and nonconvex optimization problem that minimizes the power generation costs and transmission loss in a power network subject  ... 
doi:10.1109/tpwrs.2014.2329324 fatcat:uhs7s2glqzcq3bav3tupxdxluu

Performance Analysis of Hybrid Multi-Port AC-DC/DC-DC Embedded Based Energy Flow Optimizing Using Resilient Power Flow Control (RPFC) Technique

C. Nagarajan, B. Tharani, S. Saravanan, M. Muruganandam
2021 Asian Journal of Managerial Science  
The power generation of the each and every renewable sources are monitored and controlled by the proposed Resilient Power Flow Control (RPFC) system and also the energy flow variation of the grid system  ...  This work demonstrates the role of energy routers in optimizing the efficient and flexible way of energy stabilization in grid system.  ...  /DC-DC Embedded Based Energy Flow Optimizing Using Resilient Power Flow Control (RPFC) Technique  ... 
doi:10.51983/ajes-2021.10.2.3039 fatcat:ur674xuyj5ftpjh3ra4d2ykf34

Voltage Balancing for Bipolar DC Distribution Grids: A Power Flow-based Binary Integer Mul-ti-Objective Optimization Approach

2018 IEEE Transactions on Power Systems  
This paper proposes a model based optimization method by firstly formulating the power flow model for 2-phase DC bipolar network using the single line modeling technique and nodal analysis.  ...  Together with the power flow model, the system power loss and system voltage unbalance indices are formulated as a binary integer quadratic model.  ...  This paper presents a power flow model for 2-phase bipolar DC power system and a model-based optimization methodology for designing 2-phase bipolar DC power system.  ... 
doi:10.1109/tpwrs.2018.2866817 fatcat:xjgdenpw7fh3hdjefv5ls5ivke
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