Postgraduate student of Penn State Engineering, Divya Tyagi (right) shows her work in a centennial mathematics problem to her advisor, Sven Schmitz, a member of the Faculty of the Faculty of Engineering. Penn State / Kevin Sliman
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Divya Tyagi, a graduate student from the State University of Pennsylvania (Penn State), has reviewed a 100 -year mathematical equation to improve the efficiency modeling of the wind turbine.
Tyagi used a centenary equation originally developed by the aerodynamist Hermann Glauer. Glauert created the equation to find the maximum power coefficient to determine the optimal performance of the rotating actuator, and this initial formula leads to significant advances in the development of wind energy, as R&D World reported.
However, it had gaps that did not completely approach all the factors that influence the efficiency of the wind turbine. While studying the Glauer equation, Tyagi was able to refine it in a easier -use formula that is better applied to the efficiency of the wind turbine. His work was recently published in the magazine Wind Energy Science.
“I created a complement to Glauer’s problem that determines the optimal aerodynamic performance of a wind turbine solving the ideal flow conditions for a turbine to maximize its output power,” Tyagi said in a statement.
According to the study, Tyagi refined the formula by consulting more forces that affect efficiency, such as the moments of thrust and flexion of the wind in favor of the wind, as coefficients.
“If you have extended arms and some presses in your palm, you must resist that movement,” said Schmitz, co -author of the newspaper, Tyagi’s advisor and a member of the Faculty of the Institute of Energy and Environment of Penn State. “We call it the thrust force in favor of the wind and the moment of flexion of the root, and the wind turbines must also resist that. It must understand how large the total burden is, what Glauer did not do.”
When considering the additional coefficients of the thesis, the reviewed formula can provide better ideas about all the factors that act on the turbine rotor.
“Improving the power coefficient of a large wind turbine in just 1% has a significant impact on the production of a turbine, and that translates the other coefficients through which we obtained relations,” Tyagi explained. “A 1% improvement in the power coefficient could not increase the energy production of a turbine, potentially promoting a complete neighborhood.”
Because Tyagi’s investigation provided a simple review of the original formula, engineers can easily apply the equation in the field to further improve the efficiency of the wind turbine. Ultimately, the updated equation could lead to greater wind production with lower costs.
“The real impact will be the next generation of wind turbines using the new knowledge that has been revealed,” said Schmitz. “As for the elegant divy solution, I think you will find its way in the classrooms, throughout the country and worldwide.”
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