Stochastic Optimal Dispatch of Virtual Power Plant considering Correlation of Distributed Generations
Joint Authors
Cao, Jinde
Yu, Jie
Feng, Qizhi
Li, Yang
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Virtual power plant (VPP) is an aggregation of multiple distributed generations, energy storage, and controllable loads.
Affected by natural conditions, the uncontrollable distributed generations within VPP, such as wind and photovoltaic generations, are extremely random and relative.
Considering the randomness and its correlation of uncontrollable distributed generations, this paper constructs the chance constraints stochastic optimal dispatch of VPP including stochastic variables and its random correlation.
The probability distributions of independent wind and photovoltaic generations are described by empirical distribution functions, and their joint probability density model is established by Frank-copula function.
And then, sample average approximation (SAA) is applied to convert the chance constrained stochastic optimization model into a deterministic optimization model.
Simulation cases are calculated based on the AIMMS.
Simulation results of this paper mathematic model are compared with the results of deterministic optimization model without stochastic variables and stochastic optimization considering stochastic variables but not random correlation.
Furthermore, this paper analyzes how SAA sampling frequency and the confidence level influence the results of stochastic optimization.
The numerical example results show the effectiveness of the stochastic optimal dispatch of VPP considering the randomness and its correlations of distributed generations.
American Psychological Association (APA)
Yu, Jie& Feng, Qizhi& Li, Yang& Cao, Jinde. 2015. Stochastic Optimal Dispatch of Virtual Power Plant considering Correlation of Distributed Generations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1072972
Modern Language Association (MLA)
Yu, Jie…[et al.]. Stochastic Optimal Dispatch of Virtual Power Plant considering Correlation of Distributed Generations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1072972
American Medical Association (AMA)
Yu, Jie& Feng, Qizhi& Li, Yang& Cao, Jinde. Stochastic Optimal Dispatch of Virtual Power Plant considering Correlation of Distributed Generations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1072972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072972