## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2014, Special Issue (2014), Article ID 356527, 7 pages.

### Distributionally Robust Self-Scheduling Optimization with CO2 Emissions Constraints under Uncertainty of Prices

#### Abstract

As a major energy-saving industry, power industry has implemented energy-saving generation dispatching. Apart from security and economy, low carbon will be the most important target in power dispatch mechanisms. In this paper, considering a power system with many thermal power generators which use different petrochemical fuels (such as coal, petroleum, and natural gas) to produce electricity, respectively, we establish a self-scheduling model based on the forecasted locational marginal prices, particularly taking into account $\text{C}{\text{O}}_{2}$ emission constraint, $\text{C}{\text{O}}_{2}$ emission cost, and unit heat value of fuels. Then, we propose a distributionally robust self-scheduling optimization model under uncertainty in both the distribution form and moments of the locational marginal prices, where the knowledge of the prices is solely derived from historical data. We prove that the proposed robust self-scheduling model can be solved to any precision in polynomial time. These arguments are confirmed in a practical example on the IEEE 30 bus test system.

#### Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 356527, 7 pages.

Dates
First available in Project Euclid: 1 October 2014

https://projecteuclid.org/euclid.jam/1412177562

Digital Object Identifier
doi:10.1155/2014/356527

#### Citation

Bai, Minru; Yang, Zhupei. Distributionally Robust Self-Scheduling Optimization with CO 2 Emissions Constraints under Uncertainty of Prices. J. Appl. Math. 2014, Special Issue (2014), Article ID 356527, 7 pages. doi:10.1155/2014/356527. https://projecteuclid.org/euclid.jam/1412177562

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