A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches

Momoh, James A.; Adapa, R.; El-Hawary, M.E.

doi:10.1109/59.744492

Cited by 740 publications

(355 citation statements)

References 25 publications

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“…In order to solve this problem mathematically, various optimization algorithms that have been developed so far could be applied in principle, since the existing technologies for data communication and acquisition render the coordinated management as a feasible task. However the classical optimization algorithms, such as gradient-based algorithms, described in [8]- [10], struggle with non-linearity and nonconvexity of the problem, which is also characterized by discontinue and multimodal landscape [11]. Conclusively, the classical optimization tools are not flexible to be applied in a complex search space and are sensitive to the initial points as well [12].…”

Section: Introductionmentioning

confidence: 99%

Optimal management of reactive power sources in far-offshore wind power plants

Theologi

Ndreko

Rueda

et al. 2017

2017 IEEE Manchester PowerTech

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Section: Introductionmentioning

confidence: 99%

Optimal management of reactive power sources in far-offshore wind power plants

Theologi

Ndreko

Rueda

et al. 2017

2017 IEEE Manchester PowerTech

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“…A survey of the approaches for solving the OPF prior to 2008 are provided in [10], [11], [12]. Recently there has been an effort at obtaining globally optimal solutions to the nonconvex problems through second order cone programming (SOCP) and SDP relaxations.…”

Section: A Literature Surverymentioning

confidence: 99%

Global optimization of multi-period optimal power flow

Gopalakrishnan

Raghunathan

Nikovski

et al. 2013

2013 American Control Conference

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In this work, we extend the algorithm proposed in [1] to solve multi-period optimal power flow (MOPF) problems to global optimality. The multi-period version of the OPF is time coupled due to the integration of storage systems into the network, and ramp constraints on the generators. The global optimization algorithm is based on the spatial branch and bound framework with lower bounds on the optimal objective function value calculated by solving a semidefinite programming (SDP) relaxation of the MOPF. The proposed approach does not assume convexity and is more general than the ones presented previously for the solution of MOPF. We present a case study of the IEEE 57 bus instance with a time varying demand profile. The integration of storage in the network helps to satisfy loads during high demands and the ramp constraints ensure smooth generation profiles. The SDP relaxation does not satisfy the rank condition, and our optimization algorithm is able to guarantee global optimality within reasonable computational time. American Control Conference (ACC)This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Abstract-In this work, we extend the algorithm proposed in [1] to solve multi-period optimal power flow (MOPF) problems to global optimality. The multi-period version of the OPF is time coupled due to the integration of storage systems into the network, and ramp constraints on the generators. The global optimization algorithm is based on the spatial branch and bound framework with lower bounds on the optimal objective function value calculated by solving a semidefinite programming (SDP) relaxation of the MOPF. The proposed approach does not assume convexity and is more general than the ones presented previously for the solution of MOPF. We present a case study of the IEEE 57 bus instance with a time varying demand profile. The integration of storage in the network helps to satisfy loads during high demands and the ramp constraints ensure smooth generation profiles. The SDP relaxation does not satisfy the rank condition, and our optimization algorithm is able to guarantee global optimality within reasonable computational time.

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“…However, the problem becomes very challenging when the problem cannot be formulated as convex programming. In calculating the optimal power flow (OPF) (Wood and Wollenburg (1996), Huneault and Galiana (1991), Momoh et al (1999), Momoh (2009), Frank et al (2012), Zhu (2015), Taylor (2015)), because the flow equation is described as a nonlinear equality constraint, the problem becomes one of nonlinear optimization with a feasible set that is not convex. In this case, a feasible solution may not be obtainable.…”

Section: Introductionmentioning

confidence: 99%

Design of distribution network using power flow controller

Shiina

2018

JAMDSM

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We consider the design of distribution network using power flow controller. In power delivery systems, the use of dispersed generation and security control to improve network utilization requires the optimal use of system control devices. The installation of loop controller allows the distribution system to operate in a loop configuration, achieving effective management of voltage and power flow. In the investment planning process, it is important to identify the optimal location and installed capacity of the equipment such that all operational constraints are satisfied. This paper presents a method for identifying the optimal location and capacity with the minimum installation cost. Our novel approach uses an economic model that considers the fixed costs. A slope scaling procedure is presented, and its efficiency is demonstrated using numerical experiments.

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A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches

Cited by 740 publications

References 25 publications

Optimal management of reactive power sources in far-offshore wind power plants

Optimal management of reactive power sources in far-offshore wind power plants

Global optimization of multi-period optimal power flow

Design of distribution network using power flow controller

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