I. Introduction
Wind energy is one the most important sources of energy in the future, [1], [2]. Due to scarcity of the fossil fuels and the global warming, the green energy sources will play a major role in the future economy, [3]. Consequently, many new optimized and intelligents solutions have been introduced, [4], [5]. Wind turbines have been used for many centuries. Among all these years, one of the most efficient ways of harnessing wind energy has been the use of rotary wind turbines, [6]. In general, a conventional wind turbine requires a large working area, while it cannot absorb a large portion of the wind energy that comes to its workspace. Besides that, due to the large size of such turbine equipment, the final cost, maintenance risks, and environmental hazards increase, [7]. On the other hand, new generations of bladeless turbines have been introduced. These turbines can be more economic since they can produce electricity with costs less than 40% of the rotary blade turbines, [8], [9]. Recently, Vortex Bladeless wind turbine has been introduced, which proposed a good performance and high potential for such wind turbines, [10], [11]. Many works have been presented on modeling and analysis of these newly introduced systems, [12], [13]. This turbine works based on the vibration of a cylindrical rod. Thanks to its simple mechanism and its safe motion, this turbine offers new solutions for energy generation (Fig. 1).