Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems

Market-based control is a control approach that can be used to organize resource control problems by establishing an artificial market economy for the allocation of these resources. In such system, the set of market-clearing prices is the set of prices that result in an equilibrium between demanded...

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Main Authors: Musharrat Sabah, Aaron M. Cramer, Yuan Liao
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Open Access Journal of Power and Energy
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10756704/
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author Musharrat Sabah
Aaron M. Cramer
Yuan Liao
author_facet Musharrat Sabah
Aaron M. Cramer
Yuan Liao
author_sort Musharrat Sabah
collection DOAJ
description Market-based control is a control approach that can be used to organize resource control problems by establishing an artificial market economy for the allocation of these resources. In such system, the set of market-clearing prices is the set of prices that result in an equilibrium between demanded and supplied resources throughout the system. In this paper, a new method has been proposed for solving the market-clearing problem, the problem of determining the market-clearing prices. The algorithm is applied on a complex representative power system and three simplified power systems based on the representative system under different operational scenarios. The proposed method is compared with existing reference root-finding algorithms. The comparison illustrates the proposed algorithm’s ability to address the numerical challenges the market-clearing problem poses. Dynamic simulation has been used to demonstrate the efficacy of the proposed algorithm in clearing the market in a wide range of dynamic conditions.
format Article
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institution Kabale University
issn 2687-7910
language English
publishDate 2024-01-01
publisher IEEE
record_format Article
series IEEE Open Access Journal of Power and Energy
spelling doaj-art-8485c785369a495bb065db8e596412362025-01-21T00:03:21ZengIEEEIEEE Open Access Journal of Power and Energy2687-79102024-01-011166567510.1109/OAJPE.2024.350157510756704Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution SystemsMusharrat Sabah0https://orcid.org/0009-0009-5749-0366Aaron M. Cramer1https://orcid.org/0000-0003-4850-8252Yuan Liao2https://orcid.org/0000-0002-5924-5390Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY, USADepartment of Electrical and Computer Engineering, University of Kentucky, Lexington, KY, USADepartment of Electrical and Computer Engineering, University of Kentucky, Lexington, KY, USAMarket-based control is a control approach that can be used to organize resource control problems by establishing an artificial market economy for the allocation of these resources. In such system, the set of market-clearing prices is the set of prices that result in an equilibrium between demanded and supplied resources throughout the system. In this paper, a new method has been proposed for solving the market-clearing problem, the problem of determining the market-clearing prices. The algorithm is applied on a complex representative power system and three simplified power systems based on the representative system under different operational scenarios. The proposed method is compared with existing reference root-finding algorithms. The comparison illustrates the proposed algorithm’s ability to address the numerical challenges the market-clearing problem poses. Dynamic simulation has been used to demonstrate the efficacy of the proposed algorithm in clearing the market in a wide range of dynamic conditions.https://ieeexplore.ieee.org/document/10756704/Root-findingMonte-CarloJacobianBroydenNewton-Raphsonprice
spellingShingle Musharrat Sabah
Aaron M. Cramer
Yuan Liao
Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
IEEE Open Access Journal of Power and Energy
Root-finding
Monte-Carlo
Jacobian
Broyden
Newton-Raphson
price
title Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
title_full Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
title_fullStr Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
title_full_unstemmed Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
title_short Numerical Algorithm for Solving Market Clearing Problem in Power Electronics-Based Power Distribution Systems
title_sort numerical algorithm for solving market clearing problem in power electronics based power distribution systems
topic Root-finding
Monte-Carlo
Jacobian
Broyden
Newton-Raphson
price
url https://ieeexplore.ieee.org/document/10756704/
work_keys_str_mv AT musharratsabah numericalalgorithmforsolvingmarketclearingprobleminpowerelectronicsbasedpowerdistributionsystems
AT aaronmcramer numericalalgorithmforsolvingmarketclearingprobleminpowerelectronicsbasedpowerdistributionsystems
AT yuanliao numericalalgorithmforsolvingmarketclearingprobleminpowerelectronicsbasedpowerdistributionsystems