Document Type: Review Paper

Authors

Department of Electrical Engineering, Amirkabir University, 424 Hafez Ave, Tehran, Iran.

Abstract

Economic dispatch in the presence of wind farms is of high interest in power system operational planning. Due to the uncertainty of wind speed and wind power, a probabilistic model is needed for application in economic dispatch solution. The weibull probability distribution function is a common tool to model wind speed probabilistic behavior, but the main challenge is the nonlinearity of wind power generation with respect to wind speed. This causes complexity in probabilistic economic dispatch, which can lead to numerical and time-consuming solution methods. Therefore, linearization of the wind power curve is in the interest of some methods by simply connecting the first point to end point of power curve by a straight line.
In this paper, by developing a conventional objective function for ED solution, two main contributions are made to obtain a suitable method for fast and also good accuracy results in real time purposes. At first, an improved method for linearization of wind power curve with respect to previous works is introduced which increases the performance of modelling with respect to the nonlinear model as the base model. The second contribution is developing an analytical routine for economic dispatch by an acceptable time-consuming calculation suitable for real time purposes. The effectiveness of the new approach has been tested on two test systems. The results show the improvement in relative error in ED cost with respect to real nonlinear curve model which reduces the error about one fifth regard to the conventional linearization model.

Keywords

Main Subjects

[1] Vaishali S., Shivcharan G., Rajeshkumar N. (2016) A Comparative Analysis of Wind Speed Probability Distributions for Wind Power Assessment of Four Sites. Turkish Journal of Electrical Engineering and Computer Sciences 24(6) pp 4724-4735.

[2] Vaishali S., Shivcharan G., Rajeshkumar N. (2016) A Critical Review on Wind Turbine Power Curve Modelling Techniques and Their Applications in Wind Based Energy Systems. Hindawi Publishing Corporation, Journal of Energy, Volume 2016, Article ID 8519785.

[3] M. Lydia, S. Suresh Kumar, A. Immanuel Selvakumar, G. Edwin Prem Kumar. (2014) A Comprehensive Review on Wind Turbine Power Curve Modeling Techniques. Elsevier, Renewable and Sustainable Energy Reviews 30 pp 452-460.

[4] Wind Power Generation and Wind Turbine Design. Edited by Wei T., WIT press 2010, Chapter 18, “Power Curves for Wind Turbines”.

[5] Alhassan Ali, T., Fathi Rajab, A., Ali, E., J. (2017) Power Curve Modelling for Wind Turbine. UKSim-AMSS 19th International Conference, pp 179-184.

[6] Suresh V., Sreejith S, Ponnambalam P. (2016) Static Economic Dispatch Incorporating Wind Farm using Flower Pollination Algorithm.(2016) Elsevier BV, Perspectives in Science. (8), pp 260-262.

[7] Jhon, H, David, C. Y., Kalu, B. (2008) An Economic Dispatch Model Incorporating Wind Power. IEEE Transaction on Energy Conversion, vol 23, no 2, pp 603-611.

[8] Mohamed, A, Constantine J. H. (2015) The Economic Dispatch for Integrated Wind Power Systems Using Particle Swarm Optimization. arxiv: 1509.01693 [sc CE] 5.

[9] Nishant, S., Souvik. G. (2015) Solar and Wind Power Estimation and Economic Load Dispatch using Firefly Algorithm. Elsevier BV, Procedia Computer Science, vol 70, pp 688-700.

[10] M. A. Elshahed, M. M. Elmarsfawy, H. M. Zain Eldain. (2011) Dynamic Economic Dispatch Constrained by Wind Power Weibull Distribution: A Here-and-Now Strategy. World Academy of Science, Engineering and Technology, vol. 56, pp 353-358.

[11] Jun Wu, Yong Lin, (2007) Economic Dispatch Including Wind Power Injection. Proceedings of ISES World Congress, pp 2343-2347.

[12] Cheng, Wushan; Zhang, Haifeng. (2015) A Dynamic Economic Dispatch Model Incorporating Wind Power Based on Chance Constrained Programming. Energies 8, no. 1, pp 233-256.

[13] Y. Zhang, F. Yao, H. Ho-Ching Iu, T. Fernando, K. Po Wong. (2013) Sequential Quadratic Programming Particle Swarm Optimization for Wind Power System Operations Considering Emissions. Journal of Modern Power Systems and Clean Energy, 1(3), pp 231-240.

[14] Qiyu, C., Xiuyuan, Y., Guoqing, H., Xiaoxin Z. (2018) Optimal Scheduling System for Wind Farm and Hydro Power Plant Coordinating Operation. Elsevier BV, Energy Procedia, 145, pp 277-282.

[15] Li, H., Carlos, E R., Xuesong, W., Liping, S. (2018) Economic Dispatch Considering the Wind Power Forecast Error. IET Generation, Transmission & Distribution, 12, (12), pp 2861-2870.

[16] Houhe, C., Rufeng Z., Guoqing L., Linquan B., Fangxing L. (2016) Economic Dispatch of Wind Integrated Power Systems with Energy Storage Considering Composite Operating Costs. IET Generation, Transmission & Distribution, 10, (5),
pp 1294-1303.

[17] Yue, Y., Xinsong, Z., Ping, J., Qiang, L., Kejun, Q,. Zhixin, F. (2014) Determination of Economic Dispatch of Wind Farm - Battery Energy Storage System using Genetic Algorithm. International Transactions on Electrical Energy System, 24, (2),
pp 264-280.

[18] B.Y. Qu , J.J. Liang , Y.S. Zhu , Z.Y. Wang , P.N. Suganthan. (2016) Economic Emission Dispatch Problems with Stochastic Wind Power using Summation Based Multi-Objective Evolutionary Algorithm. Elsevier BV, Information Sciences, 351,
pp 44-66.

[19] Gaurav, C, Anjali, J., Neelam, V. (2017) Solving Economic Dispatch Problem Using MiPower by Lambda Iteration Method. IEEE, 1st International Conference on Intelligent Systems and Information Management (ICISIM), 2017, pp 95-99.

[20] Ya-jing, G., Kai-xuan, Z., Chen, W. (2012) Economic Dispatch Containing Wind Power and Electric Vehicle Battery Swap Station. IEEE, PES T&D

[21] Wangchao. D., Jing, Z., Jiejie, H., Shenghu, L. (2015) Dynamic Economic Dispatch for Wind Power System Considering System Security and Spinning Reserve. Journal of Power and Energy Engineering, 3, 342-347.

[22] Allen, J. W., Bruce, F.W., Gerald, B., S. (2014) Power Generation, Operation and Control. Third edition, Published by John Wiley and Sons, page 102.

[23] Zeinab G. Hassan1 , M. Ezzat , Almoataz Y. Abdelaziz (2017) Solving unit commitment and economic load dispatch problems using modern optimization algorithms, International Journal of Engineering, Science and Technology Vol. 9, No. 4,
pp 10-19.