Research Article MaximumPowerCoefficientAnalysisinWindEnergyConversion Systems: Questioning, Findings, and New Perspective Jos´ e Genaro Gonz´ alez-Hern´ andez 1,2 andRub´ en Salas-Cabrera 1 1 Division of Graduate Studies and Research, Tecnol´ ogico Nacional de M´ exico, Instituto Tecnol´ ogico de Ciudad Madero, Ciudad Madero 89440, Mexico 2 Mechatronics Department, Universidad Tecnol´ ogica de Altamira, Altamira 89603, Mexico Correspondence should be addressed to Jos´ e Genaro Gonz´ alez-Hern´ andez; jggh77@hotmail.com Received 3 April 2021; Accepted 12 July 2021; Published 20 July 2021 Academic Editor: Juan C. Jauregui-Correa Copyright©2021Jos´ eGenaroGonz´ alez-Hern´ andezandRub´ enSalas-Cabrera.isisanopenaccessarticledistributedunderthe CreativeCommonsAttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,provided the original work is properly cited. For decades, maximum power coefficient limit, known as the Betz limit, has been accepted as a theoretical optimum value for wind turbine power extraction; nevertheless, some reports, exceeding this limit, have already been published. To explain this phe- nomenon and show a different point of view, a novel theoretical and ideal analysis based on flow conservation law and areas’ quotient is presented, supported by a review of works related to surpassing the power coefficient limit approached from different perspectives. 1. Introduction Wind power has become an important source of energy for humanity; in recent years, the installed capacity has grown considerably to reach hundreds of Giga Watts as it was reported in [1]. e importance of wind energy nowadays is crucial to face the energetic problems around the world; as established by [2], wind energy has evolved from an emerging technology to a near-competitive technology. is fact, combined with an increasing global focus on political desire in the energy supply diversification and environ- mental concern, promotes wind energy has an important role in the future electricity market. For example, in recent times, specialized methods in aerostatic stability and wind fragility analysis have been made as well as sophisticated methods based on aeroelastic models to improve structural reliability have also been proposed, for example [3–6]. Among all wind studies, en- ergy efficiency is a highlight; because of this, new and so- phisticated control equipment is currently developed to extract the most energy from the wind, and several works about overviews of emerging technologies of wind energy conversion systems (WECS) have already been published in recent years, for example [7–9], but it is necessary to move back 100 years to the past to identify and understand the origin of wind turbine power extraction limit, or at least, as it has been known for decades. A century has passed since the German scientist Albert Betz published the results of the power coefficient (C p ) limit as approximately 0.593, a result whose authorship was the subject of debate for years. According to [10], Lanchester was very close to determining the famous wind turbine limit efficiency in a paper that he published in 1915; unfortunately, he did not include Froude’s result, which establishes that the velocity in the disk is the average of velocities upstream and downstream. Joukowsky and Betz used vortex theory to support Froude’s result and obtained theoretical maximum power coefficient simultaneously, just as Newton and Leibnitz developed calculus theory simultaneously. Betz deduction has been presented in several ways; for example, Ochieng and Ochieng [11] present a mathematical series power expansion method to obtain the Betz equation functional form to determine optimum wind power coef- ficient. It is important to note that Betz analysis supposes an ideal turbine, which, according to [12], is the most efficient wind turbine and has so many blades so that there will not be Hindawi Mathematical Problems in Engineering Volume 2021, Article ID 9932841, 7 pages https://doi.org/10.1155/2021/9932841