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Dissertations / Theses on the topic 'Reactive Power Optimization (RPO)'

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1

Radibratovic, Branislav. "Reactive optimization of transmission and distribution networks." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/28264.

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Thesis (M. S.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Begovic, Miroslav; Committee Member: Divan, Deepakraj; Committee Member: Dorsey, John; Committee Member: Ferri, Bonnie; Committee Member: Lambert, Frank.
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2

Ibrahim, Sarmad Khaleel. "DISTRIBUTION SYSTEM OPTIMIZATION WITH INTEGRATED DISTRIBUTED GENERATION." UKnowledge, 2018. https://uknowledge.uky.edu/ece_etds/116.

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In this dissertation, several volt-var optimization methods have been proposed to improve the expected performance of the distribution system using distributed renewable energy sources and conventional volt-var control equipment: photovoltaic inverter reactive power control for chance-constrained distribution system performance optimisation, integrated distribution system optimization using a chance-constrained formulation, integrated control of distribution system equipment and distributed generation inverters, and coordination of PV inverters and voltage regulators considering generation cor
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3

Maroufi, Seyede Masoome. "Optimization of active and reactive power in smart buildings using a distributed model predictive control." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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Growth in Distributed Energy Resources (DERs) and low-inertia renewable energy sources in smart grids require imperative Volt-VAR Control (VVC). Moreover, this growth combined with increasing deployment of information technologies in smart grids fuels communication uncertainties and reveals transient stability challenges for Distributed Network Operators (DNOs). Innovative approaches have been proposed to use the inherent thermal inertia of buildings to provide ancillary services to the grid to tackle the problems posed by the increasing trend of volatile DERs. Although numerous approaches har
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4

Phulpin, Yannick Dominique. "Coordination of reactive power scheduling in a multi-area power system operated by independent utilities." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31638.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2010.<br>Committee Chair: Begovic, Miroslav; Committee Member: Divan, Deepak; Committee Member: Harley, Ron; Committee Member: Petit, Marc; Committee Member: Verriest, Erik. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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5

Wang, Zhongkui. "Reactive Power Control and Optimization of Large Scale Grid Connected Photovoltaic Systems in the Smart Grid." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1388764166.

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6

Li, Xiaofan. "Design, Analysis and Testing of a Self-reactive Wave Energy Point Absorber with Mechanical Power Take-off." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/100800.

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Ocean wave as a renewable energy source possesses great potential for solving the world energy crisis and benefit human beings. The total theoretical potential wave power on the ocean-facing coastlines of the world is around 30,000 TWh, although cannot all be adopted for generating electricity, the amount of the power can be absorbed still can occupy a large portion of the world's total energy consumption. However, multiple reasons have stopped the ocean wave energy from being widely adopted, and among those reasons, the most important one is immature of the Power Take-off (PTO) technology. I
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7

Zubo, Rana H. A. "Distribution Network Operation with High Penetration of Renewable Energy Sources. Joint Active/Reactive Power Procurement: A Market-Based Approach for Operation of Distribution Network." Thesis, University of Bradford, 2019. http://hdl.handle.net/10454/18267.

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Distributed generators (DGs) are proposed as a possible solution to supply economic and reliable electricity to customers. It is adapted to overcome the challenges that are characterized by centralized generation such as transmission and distribution losses, high cost of fossil fuels and environmental damage. This work presents the basic principles of integrating renewable DGs in low voltage distribution networks and particularly focuses on the operation of DG installations and their impacts on active and reactive power. In this thesis, a novel technique that applies the stochast
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8

Stypulkowski, Yuri Solis. "Alocação ótima de compensação de potência reativa." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/165244.

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Este trabalho propõe uma metodologia para enumerar soluções, que indiquem a barra e a compensação de potência reativa necessária para o sistema elétrico sob análise, que atendam aos requisitos avaliados pela função objetivo e as restrições. Nessa alocação de compensação ótima de potência reativa, obtemos as melhores barras e configurações de potências e tecnologias de dispositivos de compensação, minimizando as perdas totais de potência ativa da rede. Em redes fracas com conversores de frequência (por exemplo, para conexão de fontes renováveis, ou interligações utilizando conversores HVDC), es
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9

Moghadasiriseh, Amirhasan. "Analysis and Modeling of Advanced Power Control and Protection Requirements for Integrating Renewable Energy Sources in Smart Grid." FIU Digital Commons, 2016. http://digitalcommons.fiu.edu/etd/2469.

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Attempts to reduce greenhouse gas emissions are promising with the recent dramatic increase of installed renewable energy sources (RES) capacity. Integration of large intermittent renewable resources affects smart grid systems in several significant ways, such as transient and voltage stability, existing protection scheme, and power leveling and energy balancing. To protect the grid from threats related to these issues, utilities impose rigorous technical requirements, more importantly, focusing on fault ride through requirements and active/reactive power responses following disturbances. This
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10

Alcântara, Márcio Venício Pilar 1978. "Alocação de capacitores em sistemas de distribuição de energia eletrica." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/259439.

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Orientador: Luiz Carlos Pereira da Silva<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação<br>Made available in DSpace on 2018-08-04T07:50:24Z (GMT). No. of bitstreams: 1 Alcantara_MarcioVenicioPilar_M.pdf: 1100908 bytes, checksum: 0913d60c47bc87e4c67320408f6905af (MD5) Previous issue date: 2005<br>Resumo: É sabido que o maior volume de perdas ocorre nos sistemas de distribuição de energia elétrica. Capacitores shunt são largamente utilizados nos alimentadores primários dos sistemas de distribuição para compensar potência reativa
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11

Muller, Heloisa Helena 1965. "Redes neurais artificiais aplicadas a sistemas de potencia." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/262009.

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Orientadores: Carlos Alberto de Castro Jr., Marcos Julio Rider Flores<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação<br>Made available in DSpace on 2018-08-11T05:47:59Z (GMT). No. of bitstreams: 1 Muller_HeloisaHelena_M.pdf: 1272493 bytes, checksum: d78e9e8d9a329ccbf0cc8be6f666af25 (MD5) Previous issue date: 2008<br>Resumo: A operação de um sistema de energia elétrica pode ser gerenciada remotamente através dos centros de controle utilizando sistemas de gerenciamento de energia (Energy Management Systems-EMS). Nesses centros de
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12

Stefopoulos, Georgios Konstantinos. "Quadratic power system modeling and simulation with application to voltage recovery and optimal allocation of VAr support." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29695.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2010.<br>Committee Chair: Meliopoulos, A. P. Sakis; Committee Member: Deng, Shijie; Committee Member: Divan, Deepakraj; Committee Member: Harley, Ronald; Committee Member: Taylor, David. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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13

Ягуп, Катерина Валеріївна. "Покращання енергетичних показників електротехнічних систем із застосуванням пошукової оптимізації на комп'ютерних моделях". Thesis, НТУ "ХПІ", 2018. http://repository.kpi.kharkov.ua/handle/KhPI-Press/35541.

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Дисертація на здобуття наукового ступеня доктора технічних наук за спеціальністю 05.09.03 – електротехнічні комплекси та системи. – Національний технічний університет "Харківський політехнічний інститут", Харків, 2018. Розглядаються методи оптимізації режимів систем електропостачання з несиметричними і нелінійними навантаженнями з метою підвищення енергетичних показників і розрахунку симетро-компенсуючих пристроїв. Обґрунтовано необхідність і можливість застосування комп'ютерних засобів, розроблено узагальнені алгоритми реалізації пошукової оптимізації. Розроблені методи успішно застосовані д
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14

Ягуп, Катерина Валеріївна. "Покращання енергетичних показників електротехнічних систем із застосуванням пошукової оптимізації на комп'ютерних моделях". Thesis, Харківський національний університет міського господарства ім. О. М. Бекетова, 2017. http://repository.kpi.kharkov.ua/handle/KhPI-Press/35543.

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Дисертація на здобуття наукового ступеня доктора технічних наук за спеціальністю 05.09.03 – електротехнічні комплекси та системи. – Національний технічний університет "Харківський політехнічний інститут", Харків, 2018. Розглядаються методи оптимізації режимів систем електропостачання з несиметричними і нелінійними навантаженнями з метою підвищення енергетичних показників і розрахунку симетро-компенсуючих пристроїв. Обґрунтовано необхідність і можливість застосування комп'ютерних засобів, розроблено узагальнені алгоритми реалізації пошукової оптимізації. Розроблені методи успішно застосовані
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15

Pereira, Marcos. "Um estudo para alocação ótima de potência reativa utilizando o método dos multiplicadores de Lagrange." Universidade de São Paulo, 1995. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-22012018-114224/.

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Este trabalho apresenta uma metodologia para a alocação de fontes de reativos em sistemas de energia elétrica. A metodologia é baseada no multiplicador de Lagrange, o qual indica a sensibilidade entre a função objetivo perdas de potência ativa na transmissão, e as restrições injeções de potência reativa. Os multiplicadores de Lagrange são obtidos impondo-se as condições de estacionaridade à função Lagrangeana Aumentada, a qual é associada ao problema de Fluxo de Carga Ótimo. A metodologia é comparada com o método Simplex e com o sistema original. Testes foram realizados com os sistemas AEP14 e
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16

Canoas, Ana Carolina Garcia. "Logica nebulosa e tecnica de otimização particle swarm aplicados ao controle de tensão e de potencia reativa." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/260661.

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Orientador: Carlos Alberto Favarin Murari<br>Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação<br>Made available in DSpace on 2018-08-11T08:34:49Z (GMT). No. of bitstreams: 1 Canoas_AnaCarolinaGarcia_D.pdf: 790052 bytes, checksum: bdc65cd1e622b5ffa74f95691e03751e (MD5) Previous issue date: 2008<br>Resumo: Devido ao crescente aumento da demanda de energia elétrica e ao retardo de investimento na expansão dos sistemas e energia elétrica (SEE), a operação destes sistemas está cada vez mais próxima de seus limites operacionais, contribuindo pa
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17

Beordo, Lucas. "Planejamento da operação de controles de reativo e tensão considerando restrições de estabilidade de tensão." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/18/18154/tde-06112018-073351/.

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A operação de um Sistema Elétrico de Potência é complexa, principalmente, devido ao grande número de restrições impostas às variáveis e às grandezas do sistema, sejam elas de natureza física ou de requisito para a qualidade e a continuidade do fornecimento de energia elétrica entregue aos consumidores. O gerenciamento das tensões e dos fluxos de potência, ativa e reativa, é crucial para que o SEP opere de modo seguro, com qualidade e com o menor custo. O gerenciamento, das tensões e das potências, é realizado através dos ajustes dos dispositivos de controle do SEP, contudo, determinar os estad
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18

Souza, Rafael Ramos de [UNESP]. "Um método primal-dual de pontos interiores/exteriores com estratégias de teste quadrático e determinação de direções de busca combinadas no problema de fluxo de potência ótimo reativo." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/142853.

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Submitted by Rafael Ramos de Souza null (rr.souza@live.com) on 2016-08-09T15:45:13Z No. of bitstreams: 1 VERSÃO_ENTREGUE.pdf: 1452852 bytes, checksum: ae6aa21d2282113ac3abaade8414218e (MD5)<br>Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-08-11T12:16:39Z (GMT) No. of bitstreams: 1 souza_rr_me_bauru.pdf: 1452852 bytes, checksum: ae6aa21d2282113ac3abaade8414218e (MD5)<br>Made available in DSpace on 2016-08-11T12:16:39Z (GMT). No. of bitstreams: 1 souza_rr_me_bauru.pdf: 1452852 bytes, checksum: ae6aa21d2282113ac3abaade8414218e (MD5) Previous i
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Коваленко, Владислав Вячеславович. "Дослідження режимів мереж 35/10кВ операторів системи розподілу електроенергії". Bachelor's thesis, КПІ ім. Ігоря Сікорського, 2020. https://ela.kpi.ua/handle/123456789/39563.

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В бакалаврській роботі на тему «Дослідження режимів мереж 35/10кВ операторів системи розподілу електроенергії » виділяються дві частини: перша – розрахункова (розділ1), де реалізуються загальні електроенергетичні задачі розрахунку та оптимізації режимів і визначення струмів короткого замикання для достатньо складних електричних мереж та друга – дослідницька (розділ 2), що присвячена аналізу режимів схем 35/10кВ Одесаобленерго. Об`єктом дослідження є індивідуальна підстанція 110/35/10кВ, постачальна та розподільчі мережі 10/35кВ, та характерні проблемно-оріентовані експерементальні або промисл
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Pandian, A. "On Large Sparse Linear Inequality And Equality Constrained Linear Least Squares Algorithms With Applications In Energy Control Centers." Thesis, 1997. https://etd.iisc.ac.in/handle/2005/1812.

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Pandian, A. "On Large Sparse Linear Inequality And Equality Constrained Linear Least Squares Algorithms With Applications In Energy Control Centers." Thesis, 1997. http://etd.iisc.ernet.in/handle/2005/1812.

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22

Al, Hamrani Majed M. "Reactive power optimization using adaptive excitation control of synchronous power." Thesis, 2002. http://hdl.handle.net/1957/31548.

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Synchronous machines provide a practical way to control reactive power consumption of a plant. One of the main advantages of using synchronous motors in a plant is their ability to generate reactive power for plant loads. A new control scheme for synchronous motor excitation systems is developed to automate reactive power consumption. The system performs adaptive control based on the real time data and keeps the power factor within a specified range. The system can also be used to improve voltage drop during large induction motor starts. Power system behavior as a result of applying the adapti
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23

CHIANG, YU-CHUAN, and 江昱銓. "Optimal Reactive Power Dispatch Using Ordinal Optimization Algorithm." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/98yp44.

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碩士<br>高苑科技大學<br>電子工程研究所<br>105<br>In this paper, we propose an Ordinal Optimization (OO) algorithm for the solution of the Optimal Reactive Power Dispatch (ORPD) problem. The main objective of QRPD is to minimize active power loss and improve the voltage profile of power systems. Our algorithm consists of three stages. This work first constructed a crude but efficient model from a sample space. Then, a scheme with enhanced accuracy based on sensitivity theory was applied to identify the top samples to form the selected subset. Finally, we obtain a good enough solution with smallest objective v
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Falahi, Milad. "Dynamic Reactive Power Control of Isolated Power Systems." Thesis, 2012. http://hdl.handle.net/1969.1/148126.

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This dissertation presents dynamic reactive power control of isolated power systems. Isolated systems include MicroGrids in islanded mode, shipboard power systems operating offshore, or any other power system operating in islanded mode intentionally or due to a fault. Isolated power systems experience fast transients due to lack of an infinite bus capable of dictating the voltage and frequency reference. This dissertation only focuses on reactive control of islanded MicroGrids and AC/DC shipboard power systems. The problem is tackled using a Model Predictive Control (MPC) method, which uses a
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Numbi, Bubele Papy. "Optimization of reactive power flow in a wind farm-connected electric power system." 2012. http://encore.tut.ac.za/iii/cpro/DigitalItemViewPage.external?sp=1000359.

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M. Tech. Electrical Engineering.<br>One of the main issues in the integration of large wind power generation into the electric power networks is the voltage drop at the point of common connection (PCC) and the increase in power losses as well. This work deals with the optimization of the reactive power control in a power system with integration of a wind farm with the aim of minimizing the total active power losses and improving the load voltage profiles
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Jung, Tay Ho. "Optimal reactive power dispatch based on a multiobjective optimization technique." 1988. http://catalog.hathitrust.org/api/volumes/oclc/18826554.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1988.<br>Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 148-160).
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卓武舜. "Stochastic global optimization approaches to large-scale reactive power source planning problem." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/87200857675058381918.

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Agbugba, Emmanuel Emenike. "Hybridization of particle Swarm Optimization with Bat Algorithm for optimal reactive power dispatch." Diss., 2017. http://hdl.handle.net/10500/23630.

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This research presents a Hybrid Particle Swarm Optimization with Bat Algorithm (HPSOBA) based approach to solve Optimal Reactive Power Dispatch (ORPD) problem. The primary objective of this project is minimization of the active power transmission losses by optimally setting the control variables within their limits and at the same time making sure that the equality and inequality constraints are not violated. Particle Swarm Optimization (PSO) and Bat Algorithm (BA) algorithms which are nature-inspired algorithms have become potential options to solving very difficult optimization problem
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Chiu, Yi-Lin, and 邱奕霖. "Reactive Power and Voltage Control in Distorted Distribution Systems using Modified Cat Swarm Optimization Algorithm." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/27561486187167957108.

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碩士<br>國立雲林科技大學<br>電機工程系<br>104<br>The reactive power and voltage control problem in distribution systems is under study in this thesis. This problem is very important in a daily system operation. A proper control for the reactive power and voltage will improve the voltage profile, reduce system losses, and increase system efficiency, and that will improve the power supply quality and decrease power generation cost. First, a modified cat swarm optimization (MCSO) algorithm is proposed to solve the dispatch problem of under load tap changer (ULTC) and capacitors in a harmonic distorted distribut
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Silva, João Pedro Vasques Vieira da. "An optimization framework to estimate the active and reactive power flexibility in the TSO-DSO interface." Doctoral thesis, 2021. https://hdl.handle.net/10216/134152.

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Silva, João Pedro Vasques Vieira da. "An optimization framework to estimate the active and reactive power flexibility in the TSO-DSO interface." Tese, 2021. https://hdl.handle.net/10216/134152.

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Phulpin, Yannick. "Coordination of reactive power scheduling in a multi-area power system operated by independent utilities." Phd thesis, 2009. http://tel.archives-ouvertes.fr/tel-00424534.

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This thesis addresses the problem of reactive power scheduling in a power system with several areas controlled by independent transmission system operators (TSOs). To design a fair method for optimizing the control settings in the interconnected multi-TSO system, two types of schemes are developed.<br />First, a centralized multi-TSO optimization scheme is introduced, and it is shown that this scheme has some properties of fairness in the economic sense.<br />Second, the problem is addressed through a decentralized optimization scheme with no information exchange between the TSOs. In this fram
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Chen, Yu-Kai, and 陳裕凱. "A Fuzzy Optimization Approach to Reactive Power and Voltage Control in a Distribution System Considering Wind Generation." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/02992427545697751869.

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碩士<br>雲林科技大學<br>電機工程系碩士班<br>97<br>In this thesis, reactive power and voltage control problem in a distribution system is under study. The main purpose is to find an optimum dispatch of under load tap changer position and switched capacitors status in a day, such that the voltage deviations at the secondary bus of the main transformer will keep in the specified region, the reactive power flows through the main transformer and the real power losses on feeders will be reduced. By satisfying these objectives, some practical constraints must be considered. First, present an approach based on memeti
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Gau, Quan-Kun, and 高全坤. "Hybrid Quantum-Inspired Bee Swarm Optimization for Optimal Planning of Reactive Power Source in Distorted Distribution Systems." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/72635687603931196241.

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碩士<br>國立雲林科技大學<br>電機工程系碩士班<br>100<br>The main purpose of optimal planning of reactive power source in the distribution system is to find an optimum allocation of capacitors under considering different load levels and harmonic currents injected to the distribution system, such that the costs of feed line power loss and capacitor investment become as little as possible. By considering the supply voltage quality, the bus voltage deviations must be as small as possible and the harmonic distortion must also be as small as possible. From above descriptions, the linguistic expressions like “as li
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Pirouzi, S., J. Agahaei, M. A. Latify, G. R. Yousefi, and Geev Mokryani. "A robust optimization approach for active and reactive power management in smart distribution networks using electric vehicles." 2017. http://hdl.handle.net/10454/11660.

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Yes<br>This paper presents a robust framework for active and reactive power management in distribution networks using electric vehicles (EVs). The method simultaneously minimizes the energy cost and the voltage deviation subject to network and EVs constraints. The uncertainties related to active and reactive loads, required energy to charge EV batteries, charge rate of batteries and charger capacity of EVs are modeled using deterministic uncertainty sets. Firstly, based on duality theory, the max min form of the model is converted to a max form. Secondly, Benders decomposition is empl
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Mokgonyana, Lesiba. "A heuristic optimal approach for coordinated volt/var control in distribution networks." Diss., 2015. http://hdl.handle.net/2263/43905.

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This dissertation focuses on daily volt/var control in distribution networks with feeder capacitors, substation capacitors and transformers equipped with on-load tap changers. A hybrid approach is proposed to solve the daily volt/var control problem. To reduce the computational requirements of the problem, this approach combines two methods, namely heuristic and optimal scheduling for the substation and feeder sub-problems respectively. The feeder capacitor dispatch schedule is determined based on a heuristic reactive power setpoint method. At this stage the objective is to minimize the
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37

Santosh, Kumar A. "Voltage Stability Analysis of Unbalanced Power Systems." Thesis, 2016. http://etd.iisc.ac.in/handle/2005/3065.

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Abstract:
The modern day power system is witnessing a tremendous change. There has been a rapid rise in the distributed generation, along with this the deregulation has resulted in a more complex system. The power demand is on a rise, the generation and trans-mission infrastructure hasn't yet adapted to this growing demand. The economic and operational constraints have forced the system to be operated close to its design limits, making the system vulnerable to disturbances and possible grid failure. This makes the study of voltage stability of the system important more than ever. Generally, voltage stab
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38

Santosh, Kumar A. "Voltage Stability Analysis of Unbalanced Power Systems." Thesis, 2016. http://hdl.handle.net/2005/3065.

Full text
Abstract:
The modern day power system is witnessing a tremendous change. There has been a rapid rise in the distributed generation, along with this the deregulation has resulted in a more complex system. The power demand is on a rise, the generation and trans-mission infrastructure hasn't yet adapted to this growing demand. The economic and operational constraints have forced the system to be operated close to its design limits, making the system vulnerable to disturbances and possible grid failure. This makes the study of voltage stability of the system important more than ever. Generally, voltage stab
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39

Перемітчик, Кирило Юрійович. "Оптимальне керування нормальними режимами системи електропостачання ТОВ «Запорізький титано-магнієвий комбінат»". Магістерська робота, 2020. https://dspace.znu.edu.ua/jspui/handle/12345/4900.

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Abstract:
Перемітчик К. Ю. Оптимальне керування нормальними режимами системи електропостачання ТОВ «Запорізький титано-магнієвий комбінат» : кваліфікаційна робота магістра спеціальності 141 "Електроенергетика, електротехніка та електромеханіка" / наук. керівник С. А. Левченко. Запоріжжя : ЗНУ, 2020. 85 с.<br>UA : В роботі досліджено фактори, які визначають вибір методів керування нормальними режимами системами електропостачання. Виконані задачі для оптимізації енергосистеми, при якому досягається належна якість та надійність електричної енергії з мінімальними затратами на її отримання, перетворення та п
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