Ahead of Print article · Journal article
Stochastic Economic Dispatch with Wind using Versatile Probability Distribution and L-BFGS-B Based Dual Decomposition
This paper focuses on economic dispatch (ED) in power systems with intermittent wind power, which is a very critical issue in future power systems. A stochastic ED problem is formed based on the recently proposed versatile probability distribution (VPD) of wind power. The problem is then analyzed and proved to be strictly convex.
Although such convex optimization is tractable in many cases, it may take a long time to solve due to its large scale. This paper proposes a dual decomposition method to decompose the large problem. Then two methods are employed to solve the decomposed problem, namely, the subgradient method and a faster method, limited-memory BFGS with box constraints (L-BFGS-B, a quasi-Newton method).
Case studies were conducted to verify the efficiency of the dual decomposition and L-BFGS-B method for solving the stochastic ED problem
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2018 |
| Pages: | 6254-6263 |
| ISSN: | 15580679 and 08858950 |
| Types: | Ahead of Print article and Journal article |
| DOI: | 10.1109/TPWRS.2018.2834433 |
| ORCIDs: | Huang, Shaojun and Wu, Qiuwei |
Dual decomposition Economic dispatch (ED) Limited-memory BFGS with box constraints (L-BFGS-B) Stochastic Programming Sub-gradient method Versatile probability distribution wind power
L-BFGS-B based dual decomposition method Newton method Power generation dispatch Probability distribution Stochastic processes Wind farms Wind forecasting Wind power generation convex optimization convex programming decomposition economic dispatch (ED) future power systems gradient methods intermittent wind power limited-memory BFGS with box constraints limited-memory BFGS with box constraints (L-BFGS-B) power generation dispatch power generation economics probability probability distribution quasiNewton method stochastic ED problem stochastic economic dispatch problem stochastic processes stochastic program sub-gradient method subgradient method versatile probability distribution wind power plants
