Efficient Estimation of Critical Load Levels using Variable Substitution Method
Abstract
An accurate estimation of critical load levels (CLLs) is beneficial in evaluating the confidence level for the predicted locational marginal prices (LMPs) in power markets. This paper proposes an efficient algorithm to quickly identify CLLs under the with-loss-DCOPF framework. The proposed method approximates the trajectory of DCOPF solutions with respect to the system load variations. The quadratic coefficients of the trajectory can be efficiently obtained by solving a small-scale nonlinear system of equations formed by the variable substitution method, which does not require additional OPF runs and is thus more computationally efficient than existing methods such as binary search and interpolation. The obtained trajectory can be used for a quick calculation of OPF solutions without re-running OPF. Further, through trajectory extrapolation, new congestions and other binding constraints can be identified simultaneously with the CLL predictions. Particularly, the proposed method is not restricted to a specific DCOPF-based model and can be easily applied to other DCOPF-based variants. Numeric studies on a revised IEEE 30-bus system are presented to illustrate the high computational efficiency and accuracy of the approach. It is further tested on the IEEE 118-bus system using four different DCOPF-based models to illustrate its model adaptability.
Recommended Citation
R. Bo and F. Li, "Efficient Estimation of Critical Load Levels using Variable Substitution Method," IEEE Transactions on Power Systems, vol. 26, no. 4, pp. 2472 - 2482, Institute of Electrical and Electronics Engineers (IEEE), Nov 2011.
The definitive version is available at https://doi.org/10.1109/TPWRS.2011.2149548
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Congestion Prediction; Critical Load; DCOPF; Energy Markets; Locational Marginal Pricing; Marginal Units; Optimal Power Flows; Power Markets; Power System Planning; Variable Substitution; Algorithms; Commerce; Computational Efficiency; Nonlinear Equations; Trajectories; Electric Load Flow; Critical Load Level (CLL); Locational Marginal Pricing (LMP); Optimal Power Flow (OPF)
International Standard Serial Number (ISSN)
0885-8950
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2011 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Nov 2011
