Developments in Optimal Power Flow

Burchett, R. C.; Happ, H. H.; Vierath, D. R.; Wirgau, K.A.

doi:10.1109/tpas.1982.317121

Cited by 81 publications

(19 citation statements)

References 15 publications

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“…(2)(3)(4)(5) and capitalized MW losses initially relaxed (ignored). As the masterslave iteration proceeds, information (Benders cuts) about Eqs.…”

Section: Formulation and Methods Of Solution At The Slave Levelmentioning

confidence: 99%

“…As the masterslave iteration proceeds, information (Benders cuts) about Eqs. (2)(3)(4)(5) and capitalized MW losses accumulate in the master level to exclude gradually the infeasible region w.r.t. the original problem from the master level solution space.…”

Section: Formulation and Methods Of Solution At The Slave Levelmentioning

confidence: 99%

“…(7) and (8) is a traditional OPF problem. Any OPF method mentioned in [1,2,3,8,10,11,13] can be used to solve Eqs. (7) and (8).…”

Section: Problem Decompositionmentioning

confidence: 99%

“…This exact solution space is the same as that in the original problem, Eqs. (1)(2)(3)(4)(5)(6). It is however impossible to solve master-slave iterations indefinitely.…”

Section: Convergence Criterionmentioning

confidence: 99%

“…Coordination of these VAr controllers between cases and satisfaction of all security constraints simultaneously are of course time-consuming and difficult. On the other hand, the optimal power flow approach (OPF) has become widely used for the reactive power problem [1,2,3,8,10,11,13]. The coordination between all reactive power controllers is achieved via OPF in a single case.…”

Section: Introductionmentioning

confidence: 99%

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Optimal short‐term scheduling of shunt compensators via a decomposition algorithm

Hong

Gau

1995

Journal of the Chinese Institute of Engineers

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The short term (one day) scheduling of VAr controllers involves the setting of shunt compensators, EHV taps and generator voltages. A decomposition approach is presented to solve the problem of optimal short-term scheduling of shunt compensators in this paper. The entire problem is decomposed into two levels: the master and the slave levels. The master level deals with minimization of the depreciation cost of compensators in order to reduce the control actions for compensators while satisfying operating constraints. The slave level treats minimization of capitalized MW losses while satisfying system security constraints by adjusting generator voltages and taps. These two levels interact through linear constraints in the iteration process. The IEEE 30-bus and a practical 265-bus systems, namely Taiwan Power System, are used to serve as samples to show the applicability of the presented approach.

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“…(2)(3)(4)(5) and capitalized MW losses initially relaxed (ignored). As the masterslave iteration proceeds, information (Benders cuts) about Eqs.…”

Section: Formulation and Methods Of Solution At The Slave Levelmentioning

confidence: 99%

Section: Formulation and Methods Of Solution At The Slave Levelmentioning

confidence: 99%

“…(7) and (8) is a traditional OPF problem. Any OPF method mentioned in [1,2,3,8,10,11,13] can be used to solve Eqs. (7) and (8).…”

Section: Problem Decompositionmentioning

confidence: 99%

“…This exact solution space is the same as that in the original problem, Eqs. (1)(2)(3)(4)(5)(6). It is however impossible to solve master-slave iterations indefinitely.…”

Section: Convergence Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimal short‐term scheduling of shunt compensators via a decomposition algorithm

Hong

Gau

1995

Journal of the Chinese Institute of Engineers

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Algorithms for OptimalACPower Flow in the Presence of Renewable Sources

Chamanbaz

Dabbene

Lagoa

2019

Wiley Encyclopedia of Electrical and Electronics Engineering

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This chapter presents recent solutions to the optimal power flow (OPF) problem in the presence of renewable energy sources (RES), such as solar photo-voltaic and wind generation. After introducing the original formulation of the problem, arising from the combination of economic dispatch and power flow, we provide a brief overview of the different solution methods proposed in the literature to solve it. Then, we explain the main difficulties arising from the increasing RES penetration, and the ensuing necessity of deriving robust solutions. Finally, we present the state-of-the-art techniques, with a special focus on recent methods we developed, based on the application on randomization-based methodologies.

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