Journal
IET RENEWABLE POWER GENERATION
Volume 13, Issue 14, Pages 2587-2593Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-rpg.2019.0485
Keywords
power generation economics; Monte Carlo methods; stochastic programming; linear programming; power markets; stochastic processes; wind power plants; power generation dispatch; probability; integer programming; power system reliability; power generation scheduling; stochastic elements outage; transmission lines; stochastic interdependence; wind speed; correlated random variables; Copula theory; correlation structure; stochastic UC problem; reliability constraints; reliability point; introduced stochastic UC; RTS-96-bus test system; stochastic programming; wind energy; load inconstancy; reliability constraint stochastic UC; reliability constraint stochastic model; unit commitment problem; transmission constraints; high wind penetration; volatility; mixed-integer linear programme; linear direct current model; approach models uncertainty; wind generators output power; load demand fluctuations
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Funding
- Research on Energy Flow Optimization Theory Oriented to Cooperative and Efficient Integrated Energy Systemsof National Key Laboratory Open Fund, CEPRI
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This essay performs a reliability constraint stochastic model for unit commitment problem by considering generation and transmission constraints with high wind penetration and volatility of load demands. This query is expressed as a MILP that is based on the linear direct current model. The proposed approach models uncertainty of wind generators output power, load demand fluctuations and stochastic elements outage of the system like generators and transmission lines. In this paper, stochastic interdependence between random variables like wind speed and load demand is recognized. To establish the probability distribution of these correlated random variables, Copula theory is applied. Correlation structure between wind speed of different locations and a group of loads existing in the same area is investigated and studied based on historical data. For representing these uncertainties in the stochastic unit commitment problem, possible scenarios are generated with Monte Carlo simulation method. The reliability constraints are utilized in each scenario to evaluate the feasibility of solutions from a reliability point. The introduced stochastic UC is executed on the RTS 96-bus test system. Numerical results demonstrate the advantages of implementing stochastic programming on the UC problem by taking into account the intermittent behavior of wind energy and load inconstancy.
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