Unit Commitment With Continuous-Time Generation and Ramping Trajectory Models

Parvania, Masood; Scaglione, Anna

doi:10.1109/TPWRS.2015.2479644

Unit Commitment With Continuous-Time Generation and Ramping Trajectory Models

Journal Article · Mon Oct 26 00:00:00 EDT 2015 · IEEE Transactions on Power Systems

DOI:https://doi.org/10.1109/TPWRS.2015.2479644· OSTI ID:1418628

Parvania, Masood ^[1]; Scaglione, Anna ^[2]

Univ. of Utah, Salt Lake City, UT (United States). Dept. of Electrical and Computer Engineering; University of Utah
Arizona State Univ., Tempe, AZ (United States). School of Electrical, Computer and Energy Engineering

There is increasing evidence of shortage of ramping resources in the real-time operation of power systems. To explain and remedy this problem systematically, we take a novel look at the way the day-ahead unit commitment (UC) problem represents the information about load, generation and ramping constraints. We specifically investigate the approximation error made in mapping of the original problem, that would decide the continuous-time generation and ramping trajectories of the committed generating units, onto the discrete-time problem that is solved in practice. We first show that current practice amounts to approximating the trajectories with linear splines. We then offer a different representation through cubic splines that provides physically feasible schedules and increases the accuracy of the continuous-time generation and ramping trajectories by capturing sub-hourly variations and ramping of load in the day-ahead power system operation. The corresponding day-ahead UC model is formulated as an instance of mixed-integer linear programming (MILP), with the same number of binary variables as the traditional UC formulation. Numerical simulation over real load data from the California ISO demonstrate that the proposed UC model reduces the total day-ahead and real-time operation cost, and the number of events of ramping scarcity in the real-time operations.

Research Organization:: Univ. of Utah, Salt Lake City, UT (United States); Arizona State Univ., Tempe, AZ (United States)

Sponsoring Organization:: USDOE Office of Electricity Delivery and Energy Reliability (OE); National Science Foundation (NSF)

OSTI ID:: 1418628

Report Number(s):: TPWRS-00481-2015

Journal Information:: IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 4 Vol. 31; ISSN 0885-8950

Publisher:: IEEE

Country of Publication:: United States

Language:: English

References (14)

Price-Based Unit Commitment: A Case of Lagrangian Relaxation Versus Mixed Integer Programming Li, T.; Shahidehpour, M. IEEE Transactions on Power Systems, Vol. 20, Issue 4 https://doi.org/10.1109/TPWRS.2005.857391	journal	November 2005
Robust Optimization Based Economic Dispatch for Managing System Ramp Requirement Thatte, Anupam A.; Sun, Xu Andy 2014 47th Hawaii International Conference on System Sciences https://doi.org/10.1109/HICSS.2014.295	conference	January 2014
A Computationally Efficient Mixed-Integer Linear Formulation for the Thermal Unit Commitment Problem Carrion, M.; Arroyo, J. M. IEEE Transactions on Power Systems, Vol. 21, Issue 3 https://doi.org/10.1109/TPWRS.2006.876672	journal	August 2006
Economic dispatch with deliverable ramping capability constraint for high wind penetration Brown, Nicholas A.; Ajjarapu, Venkataramana; Navid, Nivad 2014 IEEE PES General Meeting \| Conference & Exposition https://doi.org/10.1109/PESGM.2014.6939795	conference	July 2014
Security-Constrained Unit Commitment With Volatile Wind Power Generation No authors listed IEEE Transactions on Power Systems, Vol. 23, Issue 3 https://doi.org/10.1109/TPWRS.2008.926719	journal	August 2008
Enhanced system reliability using flexible ramp constraint in CAISO market Abdul-Rahman, K. H.; Alarian, H.; Rothleder, M. 2012 IEEE Power & Energy Society General Meeting. New Energy Horizons - Opportunities and Challenges, 2012 IEEE Power and Energy Society General Meeting https://doi.org/10.1109/PESGM.2012.6345371	conference	July 2012
Market Solutions for Managing Ramp Flexibility With High Penetration of Renewable Resource Navid, Nivad; Rosenwald, Gary IEEE Transactions on Sustainable Energy, Vol. 3, Issue 4 https://doi.org/10.1109/TSTE.2012.2203615	journal	October 2012
Requirement design for a reliable and efficient ramp capability product No authors listed 2013 IEEE Power & Energy Society General Meeting https://doi.org/10.1109/PESMG.2013.6673007	conference	January 2013
Market Operations in Electric Power Systems Shahidehpour, Mohammad; Yamin, Hatim; Li, Zuyi https://doi.org/10.1002/047122412X		April 2002
Network-constrained multiperiod auction for a pool-based electricity market Motto, A. L.; Galiana, F. D.; Conejo, A. J. IEEE Transactions on Power Systems, Vol. 17, Issue 3 https://doi.org/10.1109/TPWRS.2002.800909	journal	August 2002
Unit Commitment With Flexible Generating Units Lu, B.; Shahidehpour, M. IEEE Transactions on Power Systems, Vol. 20, Issue 2 https://doi.org/10.1109/TPWRS.2004.840411	journal	May 2005
Multiperiod auction for a pool-based electricity market Arroyo, J. M.; Conejo, A. J. IEEE Transactions on Power Systems, Vol. 17, Issue 4 https://doi.org/10.1109/TPWRS.2002.804952	journal	November 2002
Demand Response Scheduling by Stochastic SCUC Parvania, Masood; Fotuhi-Firuzabad, Mahmud IEEE Transactions on Smart Grid, Vol. 1, Issue 1 https://doi.org/10.1109/TSG.2010.2046430	journal	June 2010
Stochastic Security for Operations Planning With Significant Wind Power Generation Bouffard, F.; Galiana, F. D. IEEE Transactions on Power Systems, Vol. 23, Issue 2 https://doi.org/10.1109/TPWRS.2008.919318	journal	May 2008

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References (14)

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