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Title: Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations

Abstract

While peak shaving is commonly used to reduce power costs, chemical process facilities that can reduce power consumption on demand during emergencies (e.g., extreme weather events) bring additional value through improved resilience. For process facilities to effectively negotiate demand response (DR) contracts and make investment decisions regarding flexibility, they need to quantify their additional value to the grid. We present a grid–centric mixed–integer stochastic programming framework to determine the value of DR for improving grid resilience in place of capital investments that can be cost prohibitive for system operators. We formulate problems using both a linear approximation and a nonlinear alternating current power flow model. Our numerical results with both models demonstrate that DR can be used to reduce the capital investment necessary for resilience, increasing the value that chemical process facilities bring through DR. Furthermore, the linearized model often underestimates the amount of DR needed in our case studies.

Authors:
ORCiD logo [1];  [2];  [2];  [1]
  1. Purdue Univ., West Lafayette, IN (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Laboratories, Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1492800
Alternate Identifier(s):
OSTI ID: 1490559
Report Number(s):
SAND-2019-0430J
Journal ID: ISSN 0001-1541; 671568
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
AIChE Journal
Additional Journal Information:
Journal Volume: 65; Journal Issue: 7; Journal ID: ISSN 0001-1541
Publisher:
American Institute of Chemical Engineers
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Bynum, Michael Lee, Castillo, Anya, Watson, Jean -Paul, and Laird, Carl Damon. Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations. United States: N. p., 2018. Web. doi:10.1002/aic.16508.
Bynum, Michael Lee, Castillo, Anya, Watson, Jean -Paul, & Laird, Carl Damon. Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations. United States. doi:10.1002/aic.16508.
Bynum, Michael Lee, Castillo, Anya, Watson, Jean -Paul, and Laird, Carl Damon. Sat . "Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations". United States. doi:10.1002/aic.16508. https://www.osti.gov/servlets/purl/1492800.
@article{osti_1492800,
title = {Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations},
author = {Bynum, Michael Lee and Castillo, Anya and Watson, Jean -Paul and Laird, Carl Damon},
abstractNote = {While peak shaving is commonly used to reduce power costs, chemical process facilities that can reduce power consumption on demand during emergencies (e.g., extreme weather events) bring additional value through improved resilience. For process facilities to effectively negotiate demand response (DR) contracts and make investment decisions regarding flexibility, they need to quantify their additional value to the grid. We present a grid–centric mixed–integer stochastic programming framework to determine the value of DR for improving grid resilience in place of capital investments that can be cost prohibitive for system operators. We formulate problems using both a linear approximation and a nonlinear alternating current power flow model. Our numerical results with both models demonstrate that DR can be used to reduce the capital investment necessary for resilience, increasing the value that chemical process facilities bring through DR. Furthermore, the linearized model often underestimates the amount of DR needed in our case studies.},
doi = {10.1002/aic.16508},
journal = {AIChE Journal},
number = 7,
volume = 65,
place = {United States},
year = {2018},
month = {12}
}

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Works referenced in this record:

Tightening McCormick Relaxations Toward Global Solution of the ACOPF Problem
journal, January 2019

  • Bynum, Michael; Castillo, Anya; Watson, Jean-Paul
  • IEEE Transactions on Power Systems, Vol. 34, Issue 1
  • DOI: 10.1109/TPWRS.2018.2877099

Optimal scheduling of industrial combined heat and power plants under time-sensitive electricity prices
journal, June 2013


Radial Distribution Load Flow Using Conic Programming
journal, August 2006


Strong SOCP Relaxations for the Optimal Power Flow Problem
journal, December 2016

  • Kocuk, Burak; Dey, Santanu S.; Sun, X. Andy
  • Operations Research, Vol. 64, Issue 6
  • DOI: 10.1287/opre.2016.1489

A projection-based method for production planning of multiproduct facilities
journal, October 2009

  • Sung, Charles; Maravelias, Christos T.
  • AIChE Journal, Vol. 55, Issue 10
  • DOI: 10.1002/aic.11845

A cutting plane method for minimizing pseudo-convex functions in the mixed integer case
journal, December 2000


Air separation with cryogenic energy storage: Optimal scheduling considering electric energy and reserve markets
journal, February 2015

  • Zhang, Qi; Grossmann, Ignacio E.; Heuberger, Clara F.
  • AIChE Journal, Vol. 61, Issue 5
  • DOI: 10.1002/aic.14730

Analysis of Electric Grid Security Under Terrorist Threat
journal, May 2004


Using mixed-integer programming to solve power grid blackout problems
journal, March 2007


Mixed-integer nonlinear optimization
journal, April 2013


Convexification of different classes of non-convex MINLP problems
journal, February 1999


Optimal production planning under time-sensitive electricity prices for continuous power-intensive processes
journal, March 2012


Convex quadratic relaxations for mixed-integer nonlinear programs in power systems
journal, October 2016

  • Hijazi, Hassan; Coffrin, Carleton; Hentenryck, Pascal Van
  • Mathematical Programming Computation, Vol. 9, Issue 3
  • DOI: 10.1007/s12532-016-0112-z

Modeling of discrete/continuous optimization problems: characterization and formulation of disjunctions and their relaxations
journal, March 2003


Power system restoration — a bibliographical survey
journal, March 2001

  • Lindenmeyer, D.; Dommel, H. W.; Adibi, M. M.
  • International Journal of Electrical Power & Energy Systems, Vol. 23, Issue 3
  • DOI: 10.1016/S0142-0615(00)00061-2

An Automatic Method of Solving Discrete Programming Problems
journal, July 1960

  • Land, A. H.; Doig, A. G.
  • Econometrica, Vol. 28, Issue 3
  • DOI: 10.2307/1910129

Statistical Models of the Effects of Tree Trimming on Power System Outages
journal, July 2006

  • Guikema, S. D.; Davidson, R. A.; Liu, H.
  • IEEE Transactions on Power Delivery, Vol. 21, Issue 3
  • DOI: 10.1109/TPWRD.2005.860238

An optimization mode for industrial load management
journal, January 2001

  • Ashok, S.; Banerjee, R.
  • IEEE Transactions on Power Systems, Vol. 16, Issue 4
  • DOI: 10.1109/59.962440

A tree-search algorithm for mixed integer programming problems
journal, March 1965


An adjustable robust optimization approach to scheduling of continuous industrial processes providing interruptible load
journal, March 2016


Research on Resilience of Power Systems Under Natural Disasters—A Review
journal, March 2016


New Formulation and Strong MISOCP Relaxations for AC Optimal Transmission Switching Problem
journal, November 2017

  • Kocuk, Burak; Dey, Santanu S.; Sun, Xu Andy
  • IEEE Transactions on Power Systems, Vol. 32, Issue 6
  • DOI: 10.1109/TPWRS.2017.2666718

A trilevel programming approach for electric grid defense planning
journal, January 2014

  • Alguacil, Natalia; Delgadillo, Andrés; Arroyo, José M.
  • Computers & Operations Research, Vol. 41
  • DOI: 10.1016/j.cor.2013.06.009

Vulnerability-Constrained Transmission Expansion Planning: A Stochastic Programming Approach
journal, November 2007

  • Carrion, Miguel; Arroyo, JosÉ Manuel; Alguacil, Natalia
  • IEEE Transactions on Power Systems, Vol. 22, Issue 4
  • DOI: 10.1109/TPWRS.2007.907139

Demand response modeling considering Interruptible/Curtailable loads and capacity market programs
journal, January 2010


MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education
journal, February 2011

  • Zimmerman, Ray Daniel; Murillo-Sanchez, Carlos Edmundo; Thomas, Robert John
  • IEEE Transactions on Power Systems, Vol. 26, Issue 1
  • DOI: 10.1109/TPWRS.2010.2051168

Global Solution Strategies for the Network-Constrained Unit Commitment Problem With AC Transmission Constraints
journal, March 2019

  • Liu, Jianfeng; Laird, Carl D.; Scott, Joseph K.
  • IEEE Transactions on Power Systems, Vol. 34, Issue 2
  • DOI: 10.1109/TPWRS.2018.2876127

An Efficient Tri-Level Optimization Model for Electric Grid Defense Planning
journal, July 2017


Power system restoration planning
journal, January 1994

  • Adibi, M. M.; Fink, L. H.
  • IEEE Transactions on Power Systems, Vol. 9, Issue 1
  • DOI: 10.1109/59.317561

On interval-subgradient and no-good cuts
journal, September 2010

  • D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo
  • Operations Research Letters, Vol. 38, Issue 5
  • DOI: 10.1016/j.orl.2010.05.010

Risk analysis and management in power outage and restoration: A literature survey
journal, February 2014


On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
journal, April 2005


Robust integer optimization and scheduling problems for large electricity consumers
conference, June 2012

  • Vujanic, R.; Mariethoz, S.; Goulart, P.
  • 2012 American Control Conference - ACC 2012, 2012 American Control Conference (ACC)
  • DOI: 10.1109/ACC.2012.6314921

Tight Piecewise Convex Relaxations for Global Optimization of Optimal Power Flow
conference, June 2018


Trends in the history of large blackouts in the United States
conference, July 2008

  • Hines, Paul; Apt, Jay; Talukdar, Sarosh
  • 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century
  • DOI: 10.1109/PES.2008.4596715

    Works referencing / citing this record:

    AIChE Journal Special PSE issue on sustainable energy
    journal, November 2018

    • Daoutidis, Prodromos; Mitsos, Alexander
    • AIChE Journal, Vol. 65, Issue 7
    • DOI: 10.1002/aic.16630