Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method
Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible solution for stochastic economic dispatch (SED)...
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8755985/ |
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doaj-320d3890528a4af8b936ff62a690288c2021-03-29T23:32:42ZengIEEEIEEE Access2169-35362019-01-017918279183710.1109/ACCESS.2019.29270238755985Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation MethodZhilin Lu0Mingbo Liu1https://orcid.org/0000-0001-9097-9045Wentian Lu2https://orcid.org/0000-0002-3862-7162Zhuoming Deng3School of Electric Power Engineering, South China University of Technology, Guangzhou, ChinaSchool of Electric Power Engineering, South China University of Technology, Guangzhou, ChinaSchool of Electric Power Engineering, South China University of Technology, Guangzhou, ChinaSchool of Electric Power Engineering, South China University of Technology, Guangzhou, ChinaDue to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible solution for stochastic economic dispatch (SED) problems. The SCM was used to simplify the scenario-based optimization model; specifically, a finite-order expansion using the generalized polynomial chaos (gPC) theory was applied to approximate random variables as a more facile approach compared to using complicated optimization models. Furthermore, a nested sparse grid-based approach was adopted to reduce the number of collocation points while still satisfying the nested property, thereby alleviating and effectively eliminating the need for computation. The proposed approach can be directly applied to the SED optimization problem. Lastly, simulations on the modified IEEE 39-bus system and a practical 1009-bus power system were provided to verify the accuracy, effectiveness, and practicality of the proposed algorithm.https://ieeexplore.ieee.org/document/8755985/Stochastic optimizationeconomic dispatchgeneralized polynomial chaosstochastic collocation methodGauss-Hermite quadraturesparse grid |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhilin Lu Mingbo Liu Wentian Lu Zhuoming Deng |
| spellingShingle |
Zhilin Lu Mingbo Liu Wentian Lu Zhuoming Deng Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method IEEE Access Stochastic optimization economic dispatch generalized polynomial chaos stochastic collocation method Gauss-Hermite quadrature sparse grid |
| author_facet |
Zhilin Lu Mingbo Liu Wentian Lu Zhuoming Deng |
| author_sort |
Zhilin Lu |
| title |
Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method |
| title_short |
Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method |
| title_full |
Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method |
| title_fullStr |
Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method |
| title_full_unstemmed |
Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method |
| title_sort |
stochastic optimization of economic dispatch with wind and photovoltaic energy using the nested sparse grid-based stochastic collocation method |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2019-01-01 |
| description |
Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible solution for stochastic economic dispatch (SED) problems. The SCM was used to simplify the scenario-based optimization model; specifically, a finite-order expansion using the generalized polynomial chaos (gPC) theory was applied to approximate random variables as a more facile approach compared to using complicated optimization models. Furthermore, a nested sparse grid-based approach was adopted to reduce the number of collocation points while still satisfying the nested property, thereby alleviating and effectively eliminating the need for computation. The proposed approach can be directly applied to the SED optimization problem. Lastly, simulations on the modified IEEE 39-bus system and a practical 1009-bus power system were provided to verify the accuracy, effectiveness, and practicality of the proposed algorithm. |
| topic |
Stochastic optimization economic dispatch generalized polynomial chaos stochastic collocation method Gauss-Hermite quadrature sparse grid |
| url |
https://ieeexplore.ieee.org/document/8755985/ |
| work_keys_str_mv |
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