Distributed Time-Varying Economic Dispatch via a Prediction-Correction Method

The time-varying economic dispatch over a network is considered where both the cost function and the equality constraint are time-varying. A distributed algorithm is first designed combing the prediction-correction framework and the consensus + innovations approach. In the prediction steps, the sens...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Vol. 69; no. 10; pp. 4215 - 4224
Main Authors: Huang, Bomin, Zou, Yao, Chen, Fei, Meng, Ziyang
Format: Journal Article
Language:English
Published: New York IEEE 01.10.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Convergence
Cost function
distributed algorithm
Distributed algorithms
Economics
Errors
Heuristic algorithms
Mathematical analysis
Optimization
Prediction algorithms
prediction-correction method
Resource management
Sensitivity analysis
Time-varying economic dispatch
time-varying load
ISSN:1549-8328, 1558-0806
Online Access:Get full text
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Summary:The time-varying economic dispatch over a network is considered where both the cost function and the equality constraint are time-varying. A distributed algorithm is first designed combing the prediction-correction framework and the consensus + innovations approach. In the prediction steps, the sensitivity analysis method is introduced to calculate the shift between the estimated and the exact optimization solution of the correction steps. Afterwards, the overall optimal errors in two steps are calculated by the sub-optimal analysis method. The convergence analysis shows that the dispatch errors are bounded and the convergence process is Q-linear. A dynamic prediction-correction algorithm is then presented to improve the accuracy at every time instant. Finally, numerical examples using the IEEE 118-bus system are presented to illustrate the validity of the algorithms.
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ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2022.3185398