Investigation the Success of Semidefinite Programming for the Estimating of Fuel Cost Curves in Thermal Power Plants

Year 2021, , 247 - 254, 01.03.2021

Uğur Güvenç , Hüseyin Bakır , Serhat Duman

https://doi.org/10.2339/politeknik.645827

Cited By: 2

Abstract

Accurate estimation of fuel cost curve parameters in thermal
power plants (TPP) has great importance because these parameters directly influence
the economic dispatch calculations. In this paper, a semidefinite programming
(SDP) approach was proposed for the estimation of fuel cost functions'
parameters in TPP. The parameter estimation problem was designed as a
minimization problem, where the objective function was accepted as the total
absolute error (TAE) in the study. Also, linear, quadratic, and cubic fuel cost
functions were used to estimate the fuel cost parameters. Coal, oil and gas
were preferred as the fuel types for the study. The results achieved from the
SDP method were compared with that of particle swarm optimization (PSO), artificial
bee colony (ABC), crow search algorithm (CSA) and least error square (LES) methods,
respectively. TAE parameter was taken into consideration when comparing the
performance of the methods. In the results, the SDP method gave better results
with respect to TAE. Clearly, the present paper showed that SDP has a high
potential to solve parameter estimation problems.

Keywords

Fuel cost function, Parameter estimation problem, Semidefinite programming

Investigation the Success of Semidefinite Programming for the Estimating of Fuel Cost Curves in Thermal Power Plants

Abstract

Accurate estimation of fuel cost curve parameters in thermal power plants is of great importance because these parameters directly influence the economic dispatch calculations. In this paper, a semidefinite programming (SDP) approach was proposed for the estimation of fuel cost functions' parameters in thermal power plants. The parameter estimation problem was designed as a minimization problem, where the objective function was accepted as the total absolute error (TAE) in the study. Also, linear, quadratic, and cubic fuel cost functions were used to estimate the fuel cost parameters. Different fuel types such as coal, oil and gas were preferred for simulation studies. The results achieved from the semidefinite programming method were compared with that of particle swarm optimization (PSO), artificial bee colony (ABC), crow search algorithm (CSA) and least error square (LES) methods, respectively. The performance of the methods were compared according to the TAE parameter. Simulation results showed that SDP method is more successful than other methods considered in this paper. Clearly, the present paper showed that SDP has a higher potential to solve parameter estimation problems.  

Keywords

Fuel cost function, parameter estimation problem, semidefinite programming

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