Optimal power flow algorithm and analysis in distribution system considering distributed generation

This study investigates the optimal power flow (OPF) problem for distribution networks with the integration of distributed generation (DG). By considering the objectives of minimal line loss, minimal voltage deviation and maximum DG active power output, the proposed OPF formulation is a multi-object...

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Vydáno v:IET generation, transmission & distribution Ročník 8; číslo 2; s. 261 - 272
Hlavní autoři: Sheng, Wanxing, Liu, Ke-yan, Cheng, Sheng
Médium: Journal Article
Jazyk:angličtina
Vydáno: Stevenage The Institution of Engineering and Technology 01.02.2014
Institution of Engineering and Technology
The Institution of Engineering & Technology
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ISSN:1751-8687, 1751-8695
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Abstract This study investigates the optimal power flow (OPF) problem for distribution networks with the integration of distributed generation (DG). By considering the objectives of minimal line loss, minimal voltage deviation and maximum DG active power output, the proposed OPF formulation is a multi-object optimisation problem. Through normalisation of each objective function, the multi-objective optimisation is transformed to single-objective optimisation. To solve such a non-convex problem, the trust-region sequential quadratic programming (TRSQP) method is proposed, which iteratively approximates the OPF by a quadratic programming with the trust-region guidance. The TRSQP utilises the sensitivity analysis to approximate all the constraints with linear ones, which will reduce the optimisation scale. Active set method is utilised in TRSQP to solve quadratic programming sub-problem. Numerical tests on IEEE 33-, PG&E 69- and actual 292-, 588-, 1180-bus systems show the applicability of the proposed method, and comparisons with the primal–dual interior point method and sequential linear programming method are provided. The initialisation and convergence condition of the proposed method are also discussed. The computational result indicates that the proposed algorithm for DG control optimisation in distribution system is feasible and effective.
AbstractList This study investigates the optimal power flow (OPF) problem for distribution networks with the integration of distributed generation (DG). By considering the objectives of minimal line loss, minimal voltage deviation and maximum DG active power output, the proposed OPF formulation is a multi-object optimisation problem. Through normalisation of each objective function, the multi-objective optimisation is transformed to single-objective optimisation. To solve such a non-convex problem, the trust-region sequential quadratic programming (TRSQP) method is proposed, which iteratively approximates the OPF by a quadratic programming with the trust-region guidance. The TRSQP utilises the sensitivity analysis to approximate all the constraints with linear ones, which will reduce the optimisation scale. Active set method is utilised in TRSQP to solve quadratic programming sub-problem. Numerical tests on IEEE 33-, PG&E 69- and actual 292-, 588-, 1180-bus systems show the applicability of the proposed method, and comparisons with the primal–dual interior point method and sequential linear programming method are provided. The initialisation and convergence condition of the proposed method are also discussed. The computational result indicates that the proposed algorithm for DG control optimisation in distribution system is feasible and effective.
This study investigates the optimal power flow (OPF) problem for distribution networks with the integration of distributed generation (DG). By considering the objectives of minimal line loss, minimal voltage deviation and maximum DG active power output, the proposed OPF formulation is a multi-object optimisation problem. Through normalisation of each objective function, the multi-objective optimisation is transformed to single-objective optimisation. To solve such a nonconvex problem, the trust-region sequential quadratic programming (TRSQP) method is proposed, which iteratively approximates the OPF by a quadratic programming with the trust-region guidance. The TRSQP utilises the sensitivity analysis to approximate all the constraints with linear ones, which will reduce the optimisation scale. Active set method is utilised in TRSQP to solve quadratic programming sub-problem. The initialisation and convergence condition of the proposed method are also discussed. The computational result indicates that, the proposed algorithm for DG control optimisation in distribution system is feasible and effective.
Author Liu, Ke-yan
Sheng, Wanxing
Cheng, Sheng
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  surname: Cheng
  fullname: Cheng, Sheng
  organization: Power Distribution Research Department, China Electric Power Research Institute, Beijing 100192, People's Republic of China
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Copyright The Institution of Engineering and Technology
2014 The Authors. IET Generation, Transmission & Distribution published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
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Issue 2
Keywords iterative methods
distribution networks
sensitivity analysis
PG&E 69-bus system
iterative approximation
IEEE 33-bus system
optimal power flow algorithm
linear programming
distributed power generation
actual 1180-bus system
objective function normalisation
multiobject optimisation problem
DG integration
trust-region sequential quadratic programming method
maximum DG active power output
TRSQP method
single-objective optimisation
DG control optimisation
OPF problem
nonconvex problem
actual 588-bus system
quadratic programming
distribution system analysis
sequential linear programming method
minimal line loss
actual 292-bus system
distributed generation
primal-dual interior point method
active set method
minimal voltage deviation
load flow
Sensitivity analysis
Optimization method
Multiobjective programming
Interior point method
Iterative method
Linear programming
Distributed power generation
Quadratic programming
Optimization
Confidence interval
Bus system
Guidance
Electrical network analysis
Optimal power flow
Electrical network
Sequential method
Primal dual method
Line losses
Objective function
IEEE standards
Electric power production
Distribution network
Algorithm analysis
Comparative study
Language English
License CC BY 4.0
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Snippet This study investigates the optimal power flow (OPF) problem for distribution networks with the integration of distributed generation (DG). By considering the...
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SubjectTerms Active control
active set method
actual 1180‐bus system
actual 292‐bus system
actual 588‐bus system
Algorithms
Applied sciences
Approximation
Deviation
DG control optimisation
DG integration
Distributed generation
distributed power generation
distribution networks
distribution system analysis
Electric power plants
Electrical engineering. Electrical power engineering
Electrical power engineering
Exact sciences and technology
IEEE 33‐bus system
iterative approximation
iterative methods
linear programming
load flow
Mathematical models
maximum DG active power output
minimal line loss
minimal voltage deviation
Miscellaneous
multiobject optimisation problem
nonconvex problem
objective function normalisation
Operation. Load control. Reliability
OPF problem
optimal power flow algorithm
Optimization
PG&E 69‐bus system
Power flow
Power networks and lines
primal‐dual interior point method
Quadratic programming
Sensitivity analysis
sequential linear programming method
single‐objective optimisation
TRSQP method
trust‐region sequential quadratic programming method
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Title Optimal power flow algorithm and analysis in distribution system considering distributed generation
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