應用共識性演算法進行再生能源及負載不確定性之多區域經濟調度

Consensus-based Multi Area Economic Dispatch Considering Uncertainties of Loads and Renewables

曾顥(Hao-Zeng)

指導教授 ： 洪穎怡

中原大學/電機資訊學院/電機工程研究所/碩士(2019年)

https://doi.org/10.6840/cycu201900462

摘要

近年來由於永續發展的意識抬頭，我國政府積極的推動再生能源的發展與建置。隨著我國再生能原裝置占比逐漸的提高，使得電力系統中的各項研究日趨熱絡，降低系統發電成本之經濟調度為其中一項重要的研究課題。

本論文使用共識性(Consensus)演算法進行再生能源以及負載不確定性之多區域經濟調度。首先使用廣度優先搜尋法(Breadth-first search, BFS)推導出適合作為各區域中領導代理之位置，以便在系統中建立共識性演算法。使用仿射算數(Affine Arithmetic, AA)針對系統中負載以及再生能源出力建立不確定性之數學模型。利用三層共識性演算法進行分散式運算，求得系統最低發電成本之運轉點。

本論文應用三層共識性演算法進行經濟調度計算之結果與傳統以拉格朗日乘數計算之結果非常接近，但由於計算過程以分散式計算，透過系統中各代理相互協調得到計算結果，因此計算時間相較長。最後針對負載以及再生能源出力建立仿射算數及蒙地卡羅共三種不確定性數學模型，比較使用不同數學模型之計算結果。

關鍵字

多區域經濟調度 ； 共識性演算法 ； 仿射算數

並列摘要

In recent years, due to the awakening of the sustainable development, our government promotes the allocation and construction of renewable energy. The increasing penetration of the renewable capacity results in the popularity of researching in various studies in power system. Economic dispatch (ED) is one of the important topics.

This thesis presents a method based on Consensus Alogorithm for solving economic dispatch in Taipower system considering uncertain loads and renewables. Firstly, establish the consensus algorithm in Taipower system by using Breadth-First Search (BFS) to find agents suitable being leader-agent. Uncertain loads and renewables can be then calculated by using Affine Arithmetic models. The multi-area economic dispatch by using three-layer consensus is solved.

In this thesis, the result of solving multi-area economic dispatch in Taipower system by using three-layer consensus is similar to the result of using Lagrange multiplier, but it took much longer time to solve this ED problem because of the decentralized control. There was a comparison of three uncertainty models of loads and renewables which were studied by Affine Arithmetic and Monte Carlo.

並列關鍵字

Multi-area Economic Dispatch ； Consensus Algorithm ； Affine Arithmetic

參考文獻

參考文獻

[1] J.X. Tang, B. Sun, R. Chen, Y. Yao, G. Wang, “Economic Dispatching Method Based on Dynamic Network Loss Factor,” 2018 International Conference on Power System Technology, Guangzhou, China, pp. 601-605, 2018.

[2] J.P. Zhan, Q.H. Wu, C.X. Guo, X.X. Zhou, “Fast λ -Iteration Method for Economic Dispatch With Prohibited Operating Zones,” IEEE Transactions on Power Systems, Vol.29, No. 2, pp. 990-991, 2014.

[3] Z.S. Li, Q.L. Guo, H.B. Sun, J.H. Wang, “Sufficient Conditions for Exact Relaxation of Complementarity Constraints for Storage-Concerned Economic Dispatch,” IEEE Transactions on Power Systems, Vol.31, No. 2, pp. 1653-1654, 2016.

[4] P.K. Mahdi, J.R. Marcos, S.R. Jose, “An Unambiguous Distance-Based MIQP Model to Solve Economic Dispatch Problems with Disjoint Operating Zones,” IEEE Transactions on Power Systems, Vol.31, No. 1, pp. 825-826, 2015.