Journal article
Contingency-Constrained Unit Commitmentin Meshed Isolated Power Systems
Department of Applied Mathematics and Computer Science, Technical University of Denmark1
Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark2
Ørsted A/S3
P.A.P. A/S4
Center for Energy Resources Engineering, Centers, Technical University of Denmark5
CITIES - Centre for IT-Intelligent Energy Systems, Centers, Technical University of Denmark6
This paper presents a mixed-integer linear optimization problem for unit commitment and economic dispatch of power generators in a meshed isolated power system. The optimization problem is referred to as the optimal reserve planning problem (ORPP). The ORPP guarantees that the system frequency is kept above a predefined limit in the event of a contingency.
The minimum frequency constraints are formulated using novel sufficient conditions that take into account the system inertia and the dynamics of the power generators. The proposed sufficient conditions are attractive from both a computational and a modelling point of view. We compare the ORPP to a unit commitment problem that only considers the stationary behavior of the frequency.
Simulations based on a Faroe Islands case study show that, without being overly conservative, potential blackouts and power outages can be avoided using the ORPP. In the particular case study, the cost increase associated with the additional security provided by the ORPP is less than 3%.
Language: | English |
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Publisher: | IEEE |
Year: | 2015 |
Pages: | 3516-3526 |
ISSN: | 15580679 and 08858950 |
Types: | Journal article |
DOI: | 10.1109/TPWRS.2015.2485781 |
ORCIDs: | Jørgensen, John Bagterp |
Energy management Integer Linear Programming Islanding Optimal scheduling Power generation planning
Faroe Island Generators Mathematical model ORPP Power system dynamics Power system transients Production Steady-state contingency-constrained unit commitment integer linear programming integer programming islanding linear programming meshed isolated power system minimum frequency constraint mixed-integer linear optimization problem optimal reserve planning problem optimal scheduling power blackout power generation dispatch power generation economics power generation planning power generation reliability power generation scheduling power generators economic dispatch power outage power system security