Wind Turbine Minimum Power Loss Optimization Using Non-linear Mathematical Programming

The role of wind turbine is an inevitable in a renewable microgrid system (RMS). The development of small scale RMS is an ultimate solution for remote areas where a reasonable section of population is still deprived of basic facility of electricity. In this chapter, the power losses on each stage of a wind turbine are investigated in detail. In order to minimize the losses of wind turbine, a novel Nonlinear Programming (NLP) model of an optimization using General Algebraic Modeling System (GAMS) is developed. Considering minimum power loss as the optimization criterion, the objective function of the model consists of each stage’s power losses, including mechanical, electrical, and power electronics devices of the wind turbine. The optimum results of GAMS model are validated with the real system that consists a 100 W Permanent Magnetic Synchronious Generator (PMSG) directly coupled with 400 W Induction Motor (IM). By considering the corresponding range of wind speed from 4.57 m/s to 11.4 m/s in the optimization model, a reduction potential of 9.3% of total power was observed from the results.