Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties

Tao Ding; Can Huang; Rui Bo; Runxin Li; Zhigang Yang; Fangxing Li; Hongbin Sun

doi:10.1109/PESGM.2015.7285900

Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties

Tao Ding
, Can Huang
, Rui Bo
, Runxin Li
, Zhigang Yang
, Fangxing Li
, Hongbin Sun

Tsinghua University
University of Tennessee
Midcontinent Independent Transmission System Operator (MISO)
State Grid Jibei Electric Power Company Ltd.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

13 Scopus citations

Abstract

Security constrained economic dispatch (SCED) is an important tool for ISOs/RTOs to achieve economic power system operation in day-ahead and real-time markets. However, the wind generation uncertainty varying within a large range may make the SCED model unsolvable under certain scenarios. Thus, curtailment is utilized in this work to avoid the infeasibility in the presence of wind power uncertainty. It is found that the uncertainty set is affected by the curtailment restriction which is modeled as an interval number. By the use of interval arithmetic and big M approach, we construct a mixed integer linear programming (MILP) with the objective of minimizing the total curtailment costs, while guaranteeing the SCED to be feasible when wind power varies within its uncertainty set. Numerical results from a 118-bus test system over 24 time periods verify the effectiveness of this proposed method.

Original language	English
Title of host publication	2015 IEEE Power and Energy Society General Meeting, PESGM 2015
Publisher	IEEE Computer Society
ISBN (Electronic)	9781467380409
DOIs	https://doi.org/10.1109/PESGM.2015.7285900
State	Published - 30 Sep 2015
Externally published	Yes
Event	IEEE Power and Energy Society General Meeting, PESGM 2015 - Denver, United States Duration: 26 Jul 2015 → 30 Jul 2015

Publication series

Name	IEEE Power and Energy Society General Meeting
Volume	2015-September
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Conference

Conference	IEEE Power and Energy Society General Meeting, PESGM 2015
Country/Territory	United States
City	Denver
Period	26/07/15 → 30/07/15

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Security constraints economic dispatch (SCED)
big M
curtailment
infeasibility
interval arithmetic
mixed integer linear programming (MILP)
uncertainty

Access to Document

10.1109/PESGM.2015.7285900

Cite this

Ding, T., Huang, C., Bo, R., Li, R., Yang, Z., Li, F., & Sun, H. (2015). Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties. In 2015 IEEE Power and Energy Society General Meeting, PESGM 2015 Article 7285900 (IEEE Power and Energy Society General Meeting; Vol. 2015-September). IEEE Computer Society. https://doi.org/10.1109/PESGM.2015.7285900

@inproceedings{8d2ae6cb3a604146bdacf8fc3615fef0,

title = "Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties",

abstract = "Security constrained economic dispatch (SCED) is an important tool for ISOs/RTOs to achieve economic power system operation in day-ahead and real-time markets. However, the wind generation uncertainty varying within a large range may make the SCED model unsolvable under certain scenarios. Thus, curtailment is utilized in this work to avoid the infeasibility in the presence of wind power uncertainty. It is found that the uncertainty set is affected by the curtailment restriction which is modeled as an interval number. By the use of interval arithmetic and big M approach, we construct a mixed integer linear programming (MILP) with the objective of minimizing the total curtailment costs, while guaranteeing the SCED to be feasible when wind power varies within its uncertainty set. Numerical results from a 118-bus test system over 24 time periods verify the effectiveness of this proposed method.",

keywords = "Security constraints economic dispatch (SCED), big M, curtailment, infeasibility, interval arithmetic, mixed integer linear programming (MILP), uncertainty",

author = "Tao Ding and Can Huang and Rui Bo and Runxin Li and Zhigang Yang and Fangxing Li and Hongbin Sun",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE Power and Energy Society General Meeting, PESGM 2015 ; Conference date: 26-07-2015 Through 30-07-2015",

year = "2015",

month = sep,

day = "30",

doi = "10.1109/PESGM.2015.7285900",

language = "英语",

series = "IEEE Power and Energy Society General Meeting",

publisher = "IEEE Computer Society",

booktitle = "2015 IEEE Power and Energy Society General Meeting, PESGM 2015",

}

Ding, T, Huang, C, Bo, R, Li, R, Yang, Z, Li, F & Sun, H 2015, Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties. in 2015 IEEE Power and Energy Society General Meeting, PESGM 2015., 7285900, IEEE Power and Energy Society General Meeting, vol. 2015-September, IEEE Computer Society, IEEE Power and Energy Society General Meeting, PESGM 2015, Denver, United States, 26/07/15. https://doi.org/10.1109/PESGM.2015.7285900

Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties. / Ding, Tao; Huang, Can; Bo, Rui et al.
2015 IEEE Power and Energy Society General Meeting, PESGM 2015. IEEE Computer Society, 2015. 7285900 (IEEE Power and Energy Society General Meeting; Vol. 2015-September).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties

AU - Ding, Tao

AU - Huang, Can

AU - Bo, Rui

AU - Li, Runxin

AU - Yang, Zhigang

AU - Li, Fangxing

AU - Sun, Hongbin

PY - 2015/9/30

Y1 - 2015/9/30

N2 - Security constrained economic dispatch (SCED) is an important tool for ISOs/RTOs to achieve economic power system operation in day-ahead and real-time markets. However, the wind generation uncertainty varying within a large range may make the SCED model unsolvable under certain scenarios. Thus, curtailment is utilized in this work to avoid the infeasibility in the presence of wind power uncertainty. It is found that the uncertainty set is affected by the curtailment restriction which is modeled as an interval number. By the use of interval arithmetic and big M approach, we construct a mixed integer linear programming (MILP) with the objective of minimizing the total curtailment costs, while guaranteeing the SCED to be feasible when wind power varies within its uncertainty set. Numerical results from a 118-bus test system over 24 time periods verify the effectiveness of this proposed method.

AB - Security constrained economic dispatch (SCED) is an important tool for ISOs/RTOs to achieve economic power system operation in day-ahead and real-time markets. However, the wind generation uncertainty varying within a large range may make the SCED model unsolvable under certain scenarios. Thus, curtailment is utilized in this work to avoid the infeasibility in the presence of wind power uncertainty. It is found that the uncertainty set is affected by the curtailment restriction which is modeled as an interval number. By the use of interval arithmetic and big M approach, we construct a mixed integer linear programming (MILP) with the objective of minimizing the total curtailment costs, while guaranteeing the SCED to be feasible when wind power varies within its uncertainty set. Numerical results from a 118-bus test system over 24 time periods verify the effectiveness of this proposed method.

KW - Security constraints economic dispatch (SCED)

KW - big M

KW - curtailment

KW - infeasibility

KW - interval arithmetic

KW - mixed integer linear programming (MILP)

KW - uncertainty

UR - https://www.scopus.com/pages/publications/84956857231

U2 - 10.1109/PESGM.2015.7285900

DO - 10.1109/PESGM.2015.7285900

M3 - 会议稿件

AN - SCOPUS:84956857231

T3 - IEEE Power and Energy Society General Meeting

BT - 2015 IEEE Power and Energy Society General Meeting, PESGM 2015

PB - IEEE Computer Society

T2 - IEEE Power and Energy Society General Meeting, PESGM 2015

Y2 - 26 July 2015 through 30 July 2015

ER -

Interval arithmetic based optimal curtailment for infeasible SCED considering wind power uncertainties

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this