Optimizing the Probabilistic Spinning Reserve for the Interconnected System: Approximate Expected Energy Not Supplied using a Piecewise Linearization Method

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Abstract

Spinning reserve (SR) is an important resource used by system operators to handle against the contingency. With the increase of cross-border trading, sharing spinning reserve capacity among interconnected areas is important for improving the economic efficiency and reliability, especially for China where the energy and electric demand distribute unevenly. To allocate the SR requirement among interconnected areas in a reasonable way, a model for optimizing the probabilistic SR requirement of the interconnected system is proposed in this paper. The SR requirement is determined by minimizing the total cost including operation cost and expected interruption cost. To overcome the difficulty of calculating expected energy not supplied (EENS) at each hour, a piecewise linearization method is introduced to approximate EENS. To model the ratio of SR requirement between areas, auxiliary binary variables are introduced together with the big-M method. The efficiency of the proposed method is verified by two-area IEEE-RTS system. The benefit of sharing SR requirement in the interconnected system is studied and the effect of transmission capability of tie-line on the optimal SR allocation is also investigated.

Original languageEnglish
Title of host publication2018 IEEE Power and Energy Society General Meeting, PESGM 2018
PublisherIEEE Computer Society
ISBN (Electronic)9781538677032
DOIs
StatePublished - 21 Dec 2018
Event2018 IEEE Power and Energy Society General Meeting, PESGM 2018 - Portland, United States
Duration: 5 Aug 201810 Aug 2018

Publication series

NameIEEE Power and Energy Society General Meeting
Volume2018-August
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933

Conference

Conference2018 IEEE Power and Energy Society General Meeting, PESGM 2018
Country/TerritoryUnited States
CityPortland
Period5/08/1810/08/18

Keywords

  • Interconnected system
  • Piecewise linearization method
  • Probabilistic spinning reserve

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