Optimal power flow in the presence of wind power using modified cuckoo search

This study proposes a solution to the optimal power flow (OPF) in power systems incorporating wind power. The wind generated electricity's cost modelling is presented which owes to the stochastic nature of wind speed based on the Weibull probability density function. The wind associated costs comprise of (i) reserve cost arising out of overestimation of wind farm output and (ii) penalty cost for not using total available wind power which are included in the conventional OPF. Furthermore, the Q-V formulation of induction generator is deduced which is incorporated through a modification in the conventional load flow solution. A modified cuckoo search optimisation technique is employed and compared with modified particle swarm optimisation for solving OPF with wind power involved. A modified IEEE 30-bus and IEEE 57-bus systems are used as test systems and it is observed that the cuckoo search performs better than particle swarm optimisation.

[1]  Y. X. Ni,et al.  Optimal power flow with consideration of wind generation cost , 2010, 2010 International Conference on Power System Technology.

[2]  Bikash C. Pal,et al.  Intermittent wind generation in optimal power flow dispatching , 2009 .

[3]  Hsiao-Dong Chiang,et al.  Optimal power flow calculation of power system with wind farms , 2011, 2011 IEEE Power and Energy Society General Meeting.

[4]  Georgios B. Giannakis,et al.  Robust optimal power flow with wind integration using conditional value-at-risk , 2013, 2013 IEEE International Conference on Smart Grid Communications (SmartGridComm).

[5]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[6]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Jinfu Chen,et al.  Multi-stage Dynamic Optimal Power Flow in Wind Power Integrated System , 2005, 2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific.

[8]  Jinfu Chen,et al.  Power flow and dynamic optimal power flow including wind farms , 2009, 2009 International Conference on Sustainable Power Generation and Supply.

[9]  O. Alsac,et al.  Optimal Load Flow with Steady-State Security , 1974 .

[10]  T. Joseph,et al.  PSO based generator rescheduling for relieving transmission overload , 2013, 2013 International Mutli-Conference on Automation, Computing, Communication, Control and Compressed Sensing (iMac4s).

[11]  David C. Yu,et al.  An Economic Dispatch Model Incorporating Wind Power , 2008, IEEE Transactions on Energy Conversion.