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Pricing binary variables of System-wide Constraints for Power System Optimization

CSEE Journal of Power and Energy Systems 2024年第3期10卷 1131-1144页

作者： Jiaxun Li Wei Lin Zhifang Yang Mikhail Davidson State Key Laboratory of Power Transmission Equipment and System Security and New Technology College of Electrical EngineeringChongqing UniversityChongqing 400030China Department of Electrical Engineering The Hong Kong Polytechnic UniversityHong Kong SAR 999077China Faculty of Computational Mathematics and Cybernetics Moscow State UniversityMoscow 119991Russia IEEE

With the trend of multiple energies or flexible demand in power systems,binary variables appear in systemwide constraints,which are the foundation of marginal pricing currently in *** appropriate pricing method incentivizes compliance of market participants;otherwise,compliance can be incentivized by paying discriminatory uplift payments which jeopardize transparency of *** paper proposes two theorems to examine whether the binary variables brought by multiple energies and flexible demand will impact compliance under marginal *** first theorem shows sufficient conditions with which marginal pricing with fixed binary variables incentivizes compliance,while the second theorem shows sufficient conditions to require uplift *** improve transparency by reducing uplift payments under cases which fall into the second theorem,this paper further proposes a pricing method by combining 1)designed constraints to price binary variables in system-wide constraints,and 2)convex hull pricing to price binary variables in private *** of the proposed theorems and pricing method is verified in an electricity-gas case(consisting of the IEEE 30-bus system and the NGS 10-node system)and the IEEE 118-bus test system.

关键词： binary variables impact analysis pricing under non-convexities

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Reducing Multivalued Discrete variables in Solving Separable Task Assignment Problems

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Journal of the Operations Research Society of China 2016年第1期4卷 97-110页

作者： Ling Gai Qing-Wei Jin Yuan Tian Yao-Huei Huang Department of Management Science and Engineering Shanghai UniversityShanghai 200444China Department of Management Science and Engineering Zhejiang UniversityHangzhou 310058China Edward P.Fitts Department of Industrial and Systems Engineering North Carolina State UniversityRaleighNC 27695-7906USA Southwest Jiaotong University Chengdu 610031China

In this paper,we introduce the separable task assignment problem(STAP)in which n separable tasks are assigned to m agents subject to agents’capacity *** objective is to minimize the costs that occur during the manufacturing and the communication between agents.A task is separable if it can be divided into two pieces,and both of them can be assigned individually or together to any agents.A separable task is considered as being assigned if and only if its two pieces are both *** several discrete(ternary)variables may be involved in STAP modeling,computing the problem in a reasonable time period is not an easy *** replace the ternary variables by binary and continuous variables through extending the logarithmic method introduced by Li et al.(INFORMS J Comput 25(4):643–653,2012)and Vielma et al.(Oper Res 58(2):303–315,2010).Our numerical experiments demonstrate that the newly generated model performs well in solving difficult separable task-assignment problems for pretty large scale of instance sizes.

关键词： Task-assignment problem Ternary variables binary variables Mixed integer programming problem

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