Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm

Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm

The economic dispatch problem of a virtual power plant (VPP) is becoming non-convex for distributed generators’ characteristics of valve-point loading effects, prohibited operating zones, and multiple fuel options. In this paper, the economic dispatch model of VPP is established and then solved by a...

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Main Authors: Jun Xie, Chi Cao
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Energies
Subjects:
distributed randomized gradient-free algorithm
distributed randomized gradient-free oracles
non-convex economic dispatch
virtual power plant
Online Access:https://www.mdpi.com/1996-1073/10/7/1051
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spelling doaj-e20bd6acfc4a476e994c2316ee6db21c2020-11-24T22:52:29ZengMDPI AGEnergies1996-10732017-07-01107105110.3390/en10071051en10071051Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free AlgorithmJun Xie0Chi Cao1College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaCollege of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaThe economic dispatch problem of a virtual power plant (VPP) is becoming non-convex for distributed generators’ characteristics of valve-point loading effects, prohibited operating zones, and multiple fuel options. In this paper, the economic dispatch model of VPP is established and then solved by a distributed randomized gradient-free algorithm. To deal with the non-smooth objective function, its Gauss approximation is used to construct distributed randomized gradient-free oracles in optimization iterations. A projection operator is also introduced to solve the discontinuous variable space problem. An example simulation is implemented on a modified IEEE-34 bus test system, and the results demonstrate the effectiveness and applicability of the proposed algorithm.https://www.mdpi.com/1996-1073/10/7/1051distributed randomized gradient-free algorithmdistributed randomized gradient-free oraclesnon-convex economic dispatchvirtual power plant
collection DOAJ
language English
format Article
sources DOAJ
author Jun Xie
Chi Cao
spellingShingle Jun Xie
Chi Cao
Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
Energies
distributed randomized gradient-free algorithm
distributed randomized gradient-free oracles
non-convex economic dispatch
virtual power plant
author_facet Jun Xie
Chi Cao
author_sort Jun Xie
title Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
title_short Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
title_full Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
title_fullStr Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
title_full_unstemmed Non-Convex Economic Dispatch of a Virtual Power Plant via a Distributed Randomized Gradient-Free Algorithm
title_sort non-convex economic dispatch of a virtual power plant via a distributed randomized gradient-free algorithm
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2017-07-01
description The economic dispatch problem of a virtual power plant (VPP) is becoming non-convex for distributed generators’ characteristics of valve-point loading effects, prohibited operating zones, and multiple fuel options. In this paper, the economic dispatch model of VPP is established and then solved by a distributed randomized gradient-free algorithm. To deal with the non-smooth objective function, its Gauss approximation is used to construct distributed randomized gradient-free oracles in optimization iterations. A projection operator is also introduced to solve the discontinuous variable space problem. An example simulation is implemented on a modified IEEE-34 bus test system, and the results demonstrate the effectiveness and applicability of the proposed algorithm.
topic distributed randomized gradient-free algorithm
distributed randomized gradient-free oracles
non-convex economic dispatch
virtual power plant
url https://www.mdpi.com/1996-1073/10/7/1051
work_keys_str_mv AT junxie nonconvexeconomicdispatchofavirtualpowerplantviaadistributedrandomizedgradientfreealgorithm
AT chicao nonconvexeconomicdispatchofavirtualpowerplantviaadistributedrandomizedgradientfreealgorithm
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