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Data-driven Convexification for Frequency Nadir Constraint of unit commitment

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Journal of Modern Power Systems and Clean Energy 2023年第5期11卷 1711-1717页

作者： Yukang Shen Wenchuan Wu Bin Wang Yue Yang Yi Lin State Key Laboratory of Power Systems(Department of Electrical Engineering) Tsinghua UniversityBeijing 100084China IEEE Electric Power Research Institute Fujian Electric Power Ltd.CompanyFuzhou 350003China

The increasing penetration of the renewable energy sources brings new challenges to the frequency security of power systems. In order to guarantee the system frequency security, frequency constraints are incorporated into unit commitment(UC) models. Due to the non-convex form of the frequency nadir constraint which makes the frequency constrained UC(FCUC) intractable, this letter proposes a revised support vector machine(SVM) based system parameter separating plane method to convexify it. Based on this data-driven convexification method, we obtain a tractable FCUC model which is formulated as a mixed-integer quadratic programming(MIQP) problem. Case studies indicate that the proposed method can obtain less conservative solution than the existing methods with higher efficiency.

关键词： unit commitment frequency constraint support vector machine(SVM) data-driven convexification

Application of Modified Progressive Hedging for Stochastic unit commitment in Electricity-Gas Coupled Systems

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CSEE Journal of Power and Energy Systems 2021年第4期7卷 840-849页

作者： Haizhou Liu Xinwei Shen Qinglai Guo Hongbin Sun Mohammad Shahidehpour Wenzhi Zhao Xinyi Zhao Tsinghua-Berkeley Shenzhen Institute Tsinghua Shenzhen International Graduate SchoolTsinghua UniversityShenzhen 518055China Department of Electrical Engineering Tsinghua UniversityBeijing 100084China Electrical and Computer Engineering Department Illinois Institute of Technology60616ChicagoILUnited States

The increasing number of gas-fired units has significantly intensified the coupling between electric and gas power ***,nonlinearity and nonconvexity in gas flow equations,together with renewable-induced stochasticity,resulted in a computationally expensive model for unit commitment in electricity-gas coupled integrated energy systems(IES).To accelerate stochastic day-ahead scheduling,we applied and modified Progressive Hedging(PH),a heuristic approach that can be computed in parallel to yield scenario-independent unit *** early termination and enumeration techniques,the modified PH algorithm saves considerable com,putational time for certain generation cost settings or when the scale of the IES is ***,an adapted second-order cone relaxation(SOCR)is utilized to tackle the nonconvex gas flow *** studies were performed on the IEEE *** system/Belgium 20-node gas system and the IEEE 118-bus system/Belgium 20-node gas *** computational efficiency when employing PH is 188 times that of commercial software,and the algorithm even outperforms Benders *** the same time,the gap between the PH algorithm and the benchmark is less than 0.01% in both IES systems,which proves that the solutions produced by PH reach acceptable optimality in this stochastic UC problem.

关键词： Electricity-gas coupled system integrated energy system modified Progressive Hedging second-order cone relaxation unit commitment

Grid Integration of Wind Generation Considering Remote Wind Farms:Hybrid Markovian and Interval unit commitment

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IEEE/CAA Journal of Automatica Sinica 2017年第2期4卷 205-215页

作者： Bing Yan Haipei Fan Peter B.Luh Khosrow Moslehi Xiaoming Feng Chien Ning Yu Mikhail A.Bragin Yaowen Yu IEEE Department of Electrical & Computer Engineering University of Connecticut University of Connecticut ABB Inc. ABB Enterprise Software

Grid integration of wind power is essential to reduce fossil fuel usage but challenging in view of the intermittent nature of ***,we developed a hybrid Markovian and interval approach for the unit commitment and economic dispatch problem where power generation of conventional units is linked to local wind states to dampen the effects of wind ***,to reduce complexity,extreme and expected states are considered as interval *** this approach is effective,the fact that major wind farms are often located in remote locations and not accompanied by conventional units leads to conservative ***,weights of extreme and expected states in the objective function are difficult to tune,resulting in significant differences between optimization and simulation *** this paper,each remote wind farm is paired with a conventional unit to dampen the effects of wind uncertainties without using expensive utility-scaled battery storage,and extra constraints are innovatively established to model ***,proper weights are derived through a novel quadratic fit of cost *** problem is solved by using a creative integration of our recent surrogate Lagrangian relaxation and *** demonstrate modeling accuracy,computational efficiency,and significant reduction of conservativeness of the previous approach.

关键词： Branch-and-cut interval optimization Markov decision process remote wind farms surrogate Lagrangian relaxation(SLR) unit commitment

Stochastic Security-constrained unit commitment Considering Electric Vehicles, Energy Storage Systems, and Flexible Loads with Renewable Energy Resources

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Journal of Modern Power Systems and Clean Energy 2023年第5期11卷 1405-1414页

作者： Ali Gholami Trojani Mahmoud Samiei Moghaddam Javad Mohamadi Baigi Electrical Engineering Department Damghan BranchIslamic Azad UniversityDamghamIran

In this paper, a new formulation for modeling the problem of stochastic security-constrained unit commitment along with optimal charging and discharging of large-scale electric vehicles, energy storage systems, and flexible loads with renewable energy resources is presented. The uncertainty of renewable energy resources is considered as a scenario-based model. In this paper, a multi-objective function which considers the reduction of operation cost, no-load and startup/shutdown costs, unserved load cost, load shifting, carbon emission, optimal charging and discharging of energy storage systems, and power curtailment of renewable energy resources is considered. The proposed formulation is a mixed-integer linear programming(MILP) model, of which the optimal global solution is guaranteed by commercial solvers. To validate the proposed formulation, several cases and networks are considered for analysis, and the results demonstrate the efficiency.

关键词： Electric vehicle energy storage system flexible load renewable energy resource unit commitment

Hierarchical Frequency-dependent Chance Constrained unit commitment for Bulk AC/DC Hybrid Power Systems with Wind Power Generation

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Journal of Modern Power Systems and Clean Energy 2023年第4期11卷 1053-1064页

作者： Rui Chen Deping Ke Yuanzhang Sun C.Y.Chung Haotian Wu Siyang Liao Jian Xu Congying Wei School of Electrical Engineering and Automation Wuhan UniversityWuhan 430072China Department of Electrical and Computer Engineering University of SaskatchewanSaskatoonSK S7N5A9Canada Central China Branch of State Grid Corporation of China Wuhan 430000China

As the steady-state frequency of an actual power system decreases from its nominal value,the composite load of the system generally responds positively to lower power consumption,and vice *** is believed that this load frequency damping(LFD)effect will be artificially enhanced,i.e.,sensitivities of loads with respect to operational frequency will increase,in future power ***,for wind-integrated power systems,this paper proposes a frequency-dependent chance constrained unit commitment(FDCCUC)model that employs the operational frequency as a dispatching variable so that the LFD effect-based load power can act as a supplemental *** the frequency deviation is safely restricted,this low-cost reserve can be sufficiently exerted to upgrade the wind power accommodation capability of a power system that is normally confined by an inadequate reserve to cope with uncertain wind power forecasting ***,when the FDCCUC model is applied to a bulk AC/DC hybrid power system consisting of several independently operated regional AC grids interconnected by DC tie-lines,a hierarchically implemented searching algorithm is proposed to protect private scheduling information of the regional AC *** on a 2-area 6-bus system and a 3-area 354-bus system verify the effectiveness of the FDCCUC model and hierarchical searching algorithm.

关键词： unit commitment AC/DC hybrid power system load frequency damping reserve wind power

Day-ahead Network-constrained unit commitment Considering Distributional Robustness and Intraday Discreteness:A Sparse Solution Approach

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Journal of Modern Power Systems and Clean Energy 2023年第2期11卷 489-501页

作者： Xiaodong Zheng Baorong Zhou Xiuli Wang Bo Zeng Jizhong Zhu Haoyong Chen Waisheng Zheng School of Electrical Engineering Xi’an Jiaotong UniversityXi’an 710049China Electric Power Research Institute of China Southern Power Grid Co. Ltd.Guangzhou 510663China Shaanxi Key Laboratory of Smart Grid School of Electrical EngineeringXi’an Jiaotong UniversityXi’an 710049China Department of Industrial Engineering and the Department of Electrical and Computer EngineeringUniversity of PittsburghPittsburghPA 15260USA School of Electric Power Engineering South China University of TechnologyGuangzhou 510641China China Southern Power Grid Co. Ltd.Guangzhou 510663China

Quick-start generation units are critical devices and flexible resources to ensure a high penetration level of renewable energy in power *** considering the wind uncertainty and both binary and continuous decisions of quickstart generation units within the intraday dispatch,we develop a Wasserstein-metric-based distributionally robust optimization model for the day-ahead network-constrained unit commitment(NCUC)problem with mixed-integer *** propose two feasible frameworks for solving the optimization *** approximates the continuous support of random wind power with a finite number of events,and the other leverages the extremal distributions *** solution frameworks rely on the classic nested column-and-constraint generation(C&CG)*** is shown that due to the sparsity of L_(1)-norm Wasserstein metric,the continuous support of wind power generation could be represented by a discrete one with a small number of events,and the rendered extremal distributions are sparse as *** this reduction,the distributionally robust NCUC model with complicated mixed-integer recourse problems can be efficiently handled by both solution *** studies are carried out,demonstrating that the model considering quick-start generation units ensures unit commitment(UC)schedules to be more robust and cost-effective,and the distributionally robust optimization method captures the wind uncertainty well in terms of out-of-sample tests.

关键词： unit commitment distributional robustness mixed-integer recourse nested column-and-constraint generation(C&CG) sparsity Wasserstein metric

A Data-driven Variable Reduction Approach for Transmission-constrained unit commitment of Large-scale Systems

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Journal of Modern Power Systems and Clean Energy 2023年第1期11卷 254-266页

作者： Yuzhou Zhou Qiaozhu Zhai Lei Wu Moammad Shahidehpour Systems Engineering Institute MOEKLINNS LabXi’an Jiaotong UniversityXi’an 710049China Electrical and Computer Engineering Department Stevens Institute of TechnologyHobokenU.S. Electrical and Computer Engineering Department Illinois Institute of TechnologyChicagoU.S. IEEE

This paper presents a data-driven variable reduction approach to accelerate the computation of large-scale transmission-constrained unit commitment(TCUC).Lagrangian relaxation(LR)and mixed-integer linear programming(MILP)are popular approaches to solving ***,with many binary unit commitment variables,LR suffers from slow convergence and MILP presents heavy computation *** proposed data-driven variable reduction approach consists of offline and online calculations to accelerate computational performance of the MILP-based large-scale TCUC problems.A database including multiple nodal net load intervals and the corresponding TCUC solutions is first built offline via the data-driven and all-scenario-feasible(ASF)approaches,which is then leveraged to efficiently solve new TCUC instances ***/off statuses of considerable units can be fixed in the online calculation according to the database,which would reduce the computation burden while guaranteeing good solution quality for new TCUC instances.A feasibility proposition is proposed to promptly check the feasibility of the new TCUC instances with fixed binary variables,which can be used to dynamically tune parameters of binary variable fixing strategies and guarantee the existence of feasible UC solutions even when system structure *** tests illustrate the efficiency of the proposed approach.

关键词： unit commitment accelerated algorithm data driven variable reduction

Graph Computing Based Security Constrained unit commitment in Hydro-thermal Power Systems Incorporating Pumped Hydro Storage

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CSEE Journal of Power and Energy Systems 2021年第3期7卷 485-496页

作者： Longfei Wei Guangyi Liu Shen Yan Renchang Dai Yachen Tang Hitachi ABB Power Grids San JoseCAUSA School of Electrical Engineering Xi'an University of TechnologyXi'anChina Department of Industrial and Enterprise Systems Engineering University of Illinois at Urbana-ChampaignChampaignILUSA Puget Sound Energy BellevueWAUSA Envision Digital Inc. Redwood CityCAUSA

This paper proposes a graph computing based mixed integer programming(MIP)framework for solving the security constrained unit commitment(SCUC)problem in hydro-thermal power systems incorporating pumped hydro storage(PHS).The proposed graph computing-based MIP framework considers the economic operations of thermal units,cascade hydropower stations and PHS stations,as well as their technical impacts towards the network ***,the hydro-thermal power system data and unit information are stored in a graph structure with nodes and edges,which enables nodal and hierarchical parallel computing for the unit commitment(UC)solution calculation and network security analysis.A MIP model is then formulated to solve the SCUC problem with the mathematical models of thermal units,cascade hydropower stations and PHS *** addition,two optimization approaches including convex hull reformulation(CHR)and special ordered set(SOS)methods are introduced for speeding up the MIP calculation *** ensure the system stability under the derived UC solution,a parallelized graph power flow(PGPF)algorithm is proposed for the hydro-thermal power system network security ***,case studies of the IEEE 118-bus system and a practical 2749-bus hydro-thermal power system are introduced to demonstrate the feasibility and validity of the proposed graph computing-based MIP framework.

关键词： Graph computing hydro-thermal system mixed integer programming network security unit commitment

Stochastic unit commitment with High-Penetration Offshore Wind Power Generation in Typhoon Scenarios

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Journal of Modern Power Systems and Clean Energy 2024年第2期12卷 535-546页

作者： Yanqi Liu Dundun Liu Hongcai Zhang State Key Laboratory of Internet of Things for Smart City and Department of Electrical and Computer Engineering University of MacaoMacao 999078China University of Macao Zhuhai UM Science and Technology Research Institute ZhuhaiChina

To tackle the energy crisis and climate change,wind farms are being heavily invested in across the *** China's coastal areas,there are abundant wind resources and numerous offshore wind farms are being *** secure operation of these wind farms may suffer from typhoons,and researchers have studied power system operation and resilience enhancement in typhoon ***,the intricate movement of a typhoon makes it challenging to evaluate its spatial-temporal *** published papers only consider predefined typhoon trajectories neglecting *** address this challenge,this study proposes a stochastic unit commitment model that incorporates high-penetration offshore wind power generation in typhoon *** adopts a data-driven method to describe the uncertainties of typhoon trajectories and considers the realistic anti-typhoon mode in offshore wind farms.A two-stage stochastic unit commitment model is designed to enhance power system resilience in typhoon *** formulate the model into a mixed-integer linear programming problem and then solve it based on the computationally-efficient progressive hedging algorithm(PHA).Finally,numerical experiments validate the effectiveness of the proposed method.

关键词： unit commitment two-stage stochastic programming offshore wind farm typhoon