Robust Coordinated Optimization of Active and Reactive Power in Active Distribution Systems

Active power dispatch and reactive power optimization problems are usually handled separately in active distribution systems, aiming at minimizing the total generation cost or transmission losses. However, the separate optimization cannot achieve a global optimum scheme in distribution system operat...

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Vydáno v:	IEEE transactions on smart grid Ročník 9; číslo 5; s. 4436 - 4447
Hlavní autoři:	Gao, Hongjun, Liu, Junyong, Wang, Lingfeng
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Piscataway IEEE 01.09.2018 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Active distribution system branch flow model (BFM) column-and-constraint generation (CCG) algorithm Compensators coordinated optimization Distributed generation Electric power distribution Energy resources Energy sources Energy storage Load flow Load modeling Mathematical models Mixed integer Optimization Power dispatch Power flow Programming Reactive power Robustness Robustness (mathematics) second order cone (SOC) System effectiveness Transmission loss two-stage robust optimization Uncertainty
ISSN:	1949-3053, 1949-3061
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Abstract	Active power dispatch and reactive power optimization problems are usually handled separately in active distribution systems, aiming at minimizing the total generation cost or transmission losses. However, the separate optimization cannot achieve a global optimum scheme in distribution system operations. Moreover, the significant relationship between the active power and reactive power may pose great challenges to distribution system operations due to the uncertain nature of load demands and intermittent renewable energy resources. In this paper, using the branch flow model-based relaxed optimal power flow, we formulate a robust coordinated optimization problem for active and reactive powers as a mixed integer second-order cone (SOC) programming problem. Furthermore, in order to address the uncertainties, a two-stage robust optimization model is proposed to coordinate the on load tap changer ratios, reactive power compensators, and charge-discharge power of energy storage system to find a robust optimal solution. Then the column-and-constraint generation algorithm is applied to solve the proposed robust two-stage optimization model. In the relaxed optimal power flow, a stricter cut is added to speed up the computation process of the SOC relaxation in order to guarantee the exactness for representative cases, such as those with high penetration of distributed energy resources. Numerical results based on the 33-bus and 69-bus systems verify the effectiveness of the proposed method.
AbstractList	Active power dispatch and reactive power optimization problems are usually handled separately in active distribution systems, aiming at minimizing the total generation cost or transmission losses. However, the separate optimization cannot achieve a global optimum scheme in distribution system operations. Moreover, the significant relationship between the active power and reactive power may pose great challenges to distribution system operations due to the uncertain nature of load demands and intermittent renewable energy resources. In this paper, using the branch flow model-based relaxed optimal power flow, we formulate a robust coordinated optimization problem for active and reactive powers as a mixed integer second-order cone (SOC) programming problem. Furthermore, in order to address the uncertainties, a two-stage robust optimization model is proposed to coordinate the on load tap changer ratios, reactive power compensators, and charge–discharge power of energy storage system to find a robust optimal solution. Then the column-and-constraint generation algorithm is applied to solve the proposed robust two-stage optimization model. In the relaxed optimal power flow, a stricter cut is added to speed up the computation process of the SOC relaxation in order to guarantee the exactness for representative cases, such as those with high penetration of distributed energy resources. Numerical results based on the 33-bus and 69-bus systems verify the effectiveness of the proposed method.
Author	Liu, Junyong Gao, Hongjun Wang, Lingfeng
Author_xml	– sequence: 1 givenname: Hongjun orcidid: 0000-0003-3815-0517 surname: Gao fullname: Gao, Hongjun email: gaogavin1989@gmail.com organization: School of Electrical Engineering and Information, Sichuan University, Chengdu, China – sequence: 2 givenname: Junyong surname: Liu fullname: Liu, Junyong organization: School of Electrical Engineering and Information, Sichuan University, Chengdu, China – sequence: 3 givenname: Lingfeng orcidid: 0000-0003-1658-9860 surname: Wang fullname: Wang, Lingfeng organization: Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI, USA
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SubjectTerms	Active distribution system branch flow model (BFM) column-and-constraint generation (CCG) algorithm Compensators coordinated optimization Distributed generation Electric power distribution Energy resources Energy sources Energy storage Load flow Load modeling Mathematical models Mixed integer Optimization Power dispatch Power flow Programming Reactive power Robustness Robustness (mathematics) second order cone (SOC) System effectiveness Transmission loss two-stage robust optimization Uncertainty
Title	Robust Coordinated Optimization of Active and Reactive Power in Active Distribution Systems
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