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Two-stage robust power cost minimization in a natural gas compressor station

Petroleum Science 2022年第1期19卷 409-428页

作者： Yize Meng Ruoran chen Keren Zhang Tianhu Deng Department of Industrial Engineering Tsinghua UniversityBeijing100084China

Optimal operation of a compressor station is important since it accounts for 25%to 50%of a company’s total operating budget.In short-term management of a compressor station,handling demand uncertainty is important yet challenging.Previous studies either require precise information about the distribution of uncertain parameters or greatly simplify the compressor model.We build a two-stage robust optimization framework of power cost minimization in a natural gas compressor station with nonidentical compressors.In the first stage,decision variables are the ON/OFF state of each compressor and discharge pressure.The worst-case cost of the second stage is incorporated in the first stage.Firststage decision variables feasibility is discussed and proper feasibility cuts are also proposed for the first stage.We employ a piece-wise approximation and propose accelerate methods.Our numerical results highlight two advantages of robust approach when managing uncertainty in practical settings:(1)the feasibility of first-stage decision can be increased by up to 45%,and(2)the worst-case cost can be reduced by up to 25%compared with stochastic programming models.Furthermore,our numerical experiments show that the designed accelerate algorithm has time improvements of 1518.9%on average(3785.9%at maximum).

关键词： Natural gas Single station power minimization Nonconvex robust optimization c&cg algorithm

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Distributionally Robust Optimal Dispatch of Offshore Wind Farm cluster connected by VSc-MTDc considering Wind Speed correlation

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cSEE Journal of Power and Energy Systems 2023年第3期9卷 1021-1035页

作者： Xiangyong Feng Shunjiang Lin Wanbin Liu Weikun Liang Mingbo Liu School of Electric Power Engineering South China University of TechnologyGuangzhou 510640China Guangdong Key Laboratory of clean Energy Technology South China University of TechnologyGuangzhou 511458China

Multi-terminal voltage source converter-based highvoltage direct current(VSc-MTDc)transmission technology has become an important mode for connecting adjacent offshore wind farms(OWFs)to power systems.Optimal dispatch of an OWF cluster connected by the VSc-MTDc can improve economic operation under the uncertainty of wind speeds.A two-stage distributionally robust optimal dispatch(DROD)model for the OWF cluster connected by VSc-MTDc is established.The first stage in this model optimizes the unit commitment of wind turbines to minimize mechanical loss cost of units under the worst joint probability distribution(JPD)of wind speeds,while the second stage searches for the worst JPD of wind speeds in the ambiguity set(AS)and optimizes active power output of wind turbines to minimize the penalty cost of the generation deviation and active power loss cost of the system.Based on the Kullback–Leibler(KL)divergence distance,a data-driven AS is constructed to describe the uncertainty of wind speed,considering the correlation between wind speeds of adjacent OWFs in the cluster by their joint PD.The original solution of the two-stage DROD model is transformed into the alternating iterative solution of the master problem and the sub-problem by the column-and-constraint generation(c&cg)algorithm,and the master problem is decomposed into a mixedinteger linear programming and a continuous second-order cone programming by the generalized Benders decomposition method to improve calculation efficiency.Finally,case studies on an actual OWF cluster with three OWFs demonstrate the correctness and efficiency of the proposed model and algorithm.

关键词： c&cg algorithm distributionally robust optimization generalized Benders decomposition offshore wind farm wind speed correlation

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