Document Type: Original Research Paper


1 Department of Electrical and Computer Engineering, Kerman Graduate University of Advanced Technology, Kerman, Iran

2 Department of Electrical Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran


In the restructured environment of electricity market, firstly the generating companies and the customers are looking for maximizing their profit and secondly independent system operator is looking for the stability of the power network and maximizing social welfare. In this paper, a one way auction in the electricity market for the generator companies is considered in both perfect and imperfect competition cases. A new model is provided to use the historical data of power market in the state of competition with imperfect information in which two probability functions were simultaneously used for the estimation of required information about each generator company. Nash equilibrium in the game theory is used to find the stability point in the biding strategy of generator companies. The effect of network conditions like limitation of transmission lines, network load, maximum generation of each generator company and the imperfect estimation of information about other competitors on the profit of generator companies and also on the market power of the generators in two mentioned competition methods were shown in the numerical simulation.


[1] H. Yan, “Integrated optical add-drop multiplexer based on compact parent_submicroring-resonator structure,” Optics Communications, vol. 289, pp. 53-59, 2013.

[2] D. Zhang, Z. Feng, “A channel drop filter in hetero-woodpile structure,” Optik- International Journal for Light and electron Optics, vol. 125, Issue. 10, pp. 2422-2425, 2014.

[3] P.P. Yupapin, N. Sarapat, “Novel micro-scale sensors using WGMS within modified add-drop filter circuits,” Microwave and optical technology letters, vol. 56, Issue. 1, pp. 14-17, 2014.

[4] D.G. Rabus, Integrated ring resonators, The Compendium, Springer-Verlag, Berlin Heidelberg, pp. 4-16, 2007.

[5] L.F. Mollenauer, J.P. Gordon, Soliton in Optical Fibers: Fundamentals and Applications, 1sted. , Academic Press, pp. 30-75, 2006.

[6] Y. Su, F. Liu, Q. Li, “System performance of slow-light buffering and storage in silicon nano-waveguide,” Optical Transmission, Switching, and Subsystems V, Proc. of SPIE, vol. 6783, pp. 67832-8, 2007.

[7] G.P. Agrawal, Nonlinear ϐiber optics, 4th ed., Academic Press, pp. 150-190, 2007.

[8] I.N. Nawi, H.Hairi, “Analytical Treatment of Parametric Effects in a Ring Resonator,” Procedia Engineering, vol. 8, pp. 366- 373, 2011.

[9] Y. Wang, H. Zhu, B. Li, “Optical characterization of mechanically tunable micro wire based resonators by changing ring radius and wire diameter,” Opt. commun, vol. 284, Issue. 13, pp. 3276-3279, 2011.

[10] O. Schwelb, “Transmission group delay and dispersion characteristics of single-ring optical resonators and add/drop filters – A tutorial overview,” J. Lightw. Technol, vol. 22, Issue. 5, pp. 1380-1394, 2004.