Hydrothermal scheduling by augmented Lagrangian: consideration of transmission constraints and pumped-storage units

This paper presents an augmented Lagrangian (AL) approach to scheduling a generation mix of thermal and hydro resources. AL presents a remedy to duality gap encountered with the ordinary Lagrangian for nonconvex problems. It shapes the Lagrangian function as a hyperparaboloid associating penalty in...

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Bibliographic Details
Published in:IEEE transactions on power systems 2001-11, Vol.16 (4), p.750-756
Main Author: Al-Agtash, S.
Format: Article
Language:English
Subjects:
Algorithms
Computational modeling
Cost engineering
Cost function
Couplings
Economics
ISO
Job shop scheduling
Lagrangian functions
Mathematical analysis
Optimization
Power generation economics
Processor scheduling
Remedies
Schedules
Scheduling
Shape
System testing
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Summary:This paper presents an augmented Lagrangian (AL) approach to scheduling a generation mix of thermal and hydro resources. AL presents a remedy to duality gap encountered with the ordinary Lagrangian for nonconvex problems. It shapes the Lagrangian function as a hyperparaboloid associating penalty in the direction of the coupling constraints. This work accounts further for the transmission constraints. We use a hydrothermal resource model with pumped-storage units. An IEEE 24-bus test system is used for AL performance illustration. Computational models are all coded in C. The results of the test case show that the AL approach can provide better scheduling results as it can detect optimal on/off schedules of units over a planning horizon at a minimal cost with no constraint violation. It requires no iteration with economic dispatch algorithms. The approach proves accurate and practical for systems with generation diversity and limited transmission capacity.
ISSN:0885-8950
1558-0679
DOI:10.1109/59.962422