Contact Us

For Marketing, Sales and Subscriptions Inquiries
2637 E Atlantic Blvd #43110
Pompano Beach, FL 33062

Conference List

Review of Energy Technologies and Policy Research

March 2015, Volume 2, 1, pp 16-28

Economic Load Dispatch in Thermal Power Plant Considering Additional Constraints Using Curve Fitting and Ann

S.K. Gupta


Pankaj Chawala

S.K. Gupta 1

Pankaj Chawala 2

  1. Professor and Research scholar at DCR University of Sc. & Technology, Murthal (Sonepat) Haryana, India 1

  2. Research scholar at DCR University of Sc. & Technology, Murthal (Sonepat) Haryana, India 2

on Google Scholar
on PubMed

Pages: 16-28

DOI: 10.18488/journal.77/2015.2.1/

Share :


This paper presents a new efficient approach to   economic load dispatch (ELD) problem with cost functions using curve fitting, ANN and particle swarm optimization (PSO). Economic load dispatch is one of the most important problems in power system operation. The practical ELD problems may not have fixed cost functions rather it changes with the coal quality, that make the problem of finding the global optimum difficult using any traditional mathematical approach. Therefore, curve fitting technique is used to obtain the coefficients of the cost curve. The same data is used for the training of the artificial neural network. The effectiveness of the algorithm is validated by carrying out extensive test on a power system involving 8 thermal generating units. The variation in calorific values of the coal used in different generators cause the change in coefficients of cost curve. This effect is incorporated using curve fitting, ANN and PSO approaches. The ELD problem is then optimized. The comparison shows the better results.
Contribution/ Originality
This study for economic load dispatch is one of very few studies which have investigated for variation in calorific values of the coal used time to time in thermal power plants.  This uses the comparison of conventional, curve fitting, PSO and ANN.



  1. P. Aravindhababu and K. R. Nayar, "Economic dispatch based on optimal lambda using radial basis function network," Elect. Power Energy Syst., vol. 24, pp. 551–556, 2002.
  2. H. H. Happ, "Optimal power dispatch – a comprehensive survey," IEEE Transection on Power Apparatus and Systems, vol. 96, 1977.
  3. R. Ramanathan, "Fast economic dispatch based on the penalty factors from Newton’s method," IEEE Transection on Power Apparatus and Systems, vol. PAS-104, pp. 1624-1629, 1985.
  4. E. H. Chowdhury and R. Saifur, "A review of recent advances in economic dispatch," IEEE Transactions on Power System, vol. 5, p. 1248, 1990.
  5. B. Aniruddha, I. Member, and K. C. Pranab, "Biogeography-based optimization for different economic load dispatch problems," IEEE Transactions on Power Systems, vol. 25, p. 542 548, 2010.
  6. T. Yalcinoz and H. Altun, "Environmentally constrained economic dispatch via a genetic algorithm with arithmetic crossover," presented at the IEEE 6th Africon Conference in Africa 2002, 2002.
  7. S. C. Leandro dos and C. M. Viviana, "Combining of chaotic differential evolution and quadratic programming for economic dispatch optimization with valve-point effect," IEEE Transactions on Power Systems, vol. 21, p. 989, 2006.
  8. S. Nidul, R. Chakrabarti, and P. K. Chattopadhyay, "Evolutionary programming techniques for economic load dispatch," IEEE Transactions on Evolutionary Computation, vol. 7, p. 83, 2003.
  9. Y. M. Park, J. R. Won, and J. B. Park, "A new approach to economic load dispatch based on improved evolutionary programming," Eng. Intell. Syst. Elect. Eng. Commun., vol. 6, pp. 103–110, 1998.
  10. H. T. Yang, P. C. Yang, and C. L. Huang, "Evolutionary programming based economic dispatch for units with nonsmooth fuel cost functions," IEEE Trans. Power Syst., vol. 11, pp. 112–118, 1996.
  11. J. H. Park, Y. S. Kim, I. K. Eom, and K. Y. Lee, "Economic load dispatch for piecewise quadratic cost function using hopfield neural network," IEEE Trans. Power Syst., vol. 8, pp. 1030–1038, 1993.
  12. K. Senthil and K. Manikandan, "Economic thermal power dispatch with emission constraint and valve point effect loading using improved tabu search algorithm," International Journal of Computer Applications (0975 – 8887), vol. 3, pp. 0975–8887, 2010.
  13. R. C. Eberhart and J. Kennedy, "A new optimizer using particle swarm theory," in Proceedings of the 6th International Symposium on Micro Machine and Human Science, Nagoya, Japan, 1995, pp. 39-43.
  14. H. Yoshida, K. Kawata, Y. Fukuyama, S. Takayama, and Y. Nakanishi, "A particle swarm optimization for reactive power and voltage control considering voltage security assessment," IEEE Trans. Power Syst., vol. 15, pp. 1232–1239, 2000.
  15. M. Clerc and J. Kennedy, "The particle swarm-explosion, stability, and convergence in a multidimensional complex space," IEEE Trans. Evol. Comput., vol. 6, pp. 58–73, 2002.
  16. I. N. Kassabalidis, M. A. El-Sharkawi, R. J. Marks, L. S. Moulin, and A. P. A. Da Silva, "Dynamic security border identification using enhanced particle swarm optimization," IEEE Trans. Power Syst., vol. 17, pp. 723–729, 2002.
  17. T. A. A. Victoire and A. E. Jeyakumar, "A modified hybrid EP-SQP approach for dynamic dispatch with valve-point effect," Int. J. Elect. Power Energy Syst., vol. 27, pp. 594–601, 2005.
  18. S. M. V. Pandian and K. Thanushkodi, "Solving economic load dispatch problem considering transmission losses by a hybrid EP-EPSO algorithm for solving both smooth and non-smooth cost function," International Journal of Computer and Electrical Engineering, vol. 2, pp. 1793-8163, 2010.
  19. G. D. Pradeep, A text book on computer oriented statistical methods: Jeevansons, Publications, 2010.


Google Scholor ideas Microsoft Academic Search bing Google Scholor


Competing Interests:


Related Article

( 1 ) Energy Consumption and Economic Growth in Nigeria: A Causality Analysis
( 2 ) Environmental Conservation and Use of Economic Incentives to Conserve Biological Resources in Nigeria
( 3 ) Economic Load Dispatch in Thermal Power Plant Considering Additional Constraints Using Curve Fitting and Ann
( 4 ) Renewable Sources of Energy for Economic Development in Nigeria
( 5 ) Assessing the Catalytic Influence of Modern Information System and Socio-Economic Status on Communities’ Attitude and Awareness to Forest Resource Sustainability in Boki Local Government Area, Nigeria
( 6 ) Optimal Sizing of Hybrid Systems and Economical Comparison
( 7 ) The Effect of Co2 Emission and Economic Growth on Energy Consumption in Sub Sahara Africa
( 8 ) Economic Contributions and Environmental Effects of Geothermal Energy: Çanakkale-Tuzla Geothermal Example
( 9 ) Energy Trading and Congestion Management Using Real and Reactive Power Rescheduling and Load Curtailment
( 11 ) Assessment of Nutrient and Sediment Loads in Buhisan, Bulacao and Lahug Rivers, Cebu, Philippines
( 12 ) Analysis of Physico-Chemical Properties and Bacteriological Loads of Waste Water Effluent from Oxidation Pond at Woldia University, North Wollo, Ethiopia
( 14 ) Soil Thermal Properties and the Effects of Groundwater on Closed Loops
( 15 ) Energy Consumption and Thermal Comfort Analysis of Public Housing in Sao Paulo, Brazil
( 17 ) Retracted: Study Hydrogeochemistry Exploration of Thermal Spring in Ramsar Area, (North of Iran)
( 18 ) Dynamic Simulation and Modeling of a Novel Combined Hybrid Photovoltaic-Thermal Panel Hybrid System
( 20 ) Experimental and Numerical Study of Magnetic Field Impact on the Thermal Solar Collectors
( 21 ) Location Mapping of Hydrothermal Alteration Using Landsat 8 Data: A Case of Study in Prestea Huni Valley District, Ghana
( 22 ) Power Loss Reduction in PWM Inverters of Induction Motor Drives Based on Soft Switching Technique
( 25 ) Reliability and Rationing Cost: Some Analytical Implications for a Power System
( 26 ) Reinforcing Kenya Power National Grid Using Statcom Devices
( 27 ) Impact of the Optimal Tilt Angle on the Solar Photovoltaic Array Size and Cost for a 100 kWh Solar Power System in Imo State
( 28 ) Aquatic Plants as Ecological Indicator for Urban Lakes Eutrophication Status and Indices
( 30 ) Optimal Design of Hybrid Energy System Drives Small-Scale Reverse Osmosis Desalination Plant
( 31 ) Emissions Reduction of a Chemical Process Plant by Maximizing Energy Recovery, Minimizing Energy Losses and Fuel Switching
( 33 ) Optimal Planning of Energy Hubs Considering Renewable Energy Sources and Battery Energy Storage System
( 36 ) Hospital Site Selection Using a BDI Agent Model
( 37 ) Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of Study: Charak Area, Iran)
( 38 ) Application of Response Surface Methodology (RSM) and Artificial Neural Network (ANN) for Achieving Desire BA in the Biotransformation of Benzaldehyde Using Free Cells of Saccharomyces Cerevisae and the Effect of Β-Cyclodextrin
( 39 ) Flood Hazard Assessment and Decisions Support Using Geographic Information System: A Case Study of Uyo Capital City, Akwa Ibom State, Nigeria
( 42 ) Sequestration Rate of Heavy Metal Contaminants Using Riccia Fluitans as Potential Phytoremediation Agent in Polluted Aquatic Ecosystem
( 44 ) Phytoremediation Model System for Aquaculture Wastewater Using Glossostigma Elatinoides and Hemianthus Callitrichoides
( 45 ) Comparative Assessment of Co2 Emission Factors Estimated Using Stack Flue Gas Measurement Data for Two Types of Brick Kiln: A Case Study in Phu Tho Province, Vietnam
( 46 ) Presentation of Empirical Equations for Estimating Internal Friction Angle of SP and SC Soils in Mashhad, Iran Using Standard Penetration and Direct Shear Tests and Comparison with Previous Equations
( 47 ) Determining the Optimal Density of Neka Using Fractal Method and the Study of Its Geological Situation
( 48 ) Improving the Geological Understanding of the Niger Delta Basin of Nigeria Using Airborne Gravity Data
( 49 ) Residential Housing Quality Assessment Based on the Criteria of Sustainable Housing (Case Study: Residential Complex of 100 Units of Region 1 City of Zahedan)
( 50 ) Landfill Site Selection Using Simple Additive Weighting (SAW) Method and Artificial Neural Network Method; A Case Study from Lorestan Province, Iran
( 51 ) Soil Erosion Hazard Mapping in Central Zab Basin Using Epm Model in GIS Environment
( 52 ) Zoning of Natural and Man-Made Disasters for Relief and Rescue Centers Site Selection Using the Model Logic (Case Study: Guilan Rural Area)