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Student refines 100-year-old math problem, expanding wind energy possibilities
A Penn State engineering student's work on a century-old math problem that expands research in aerodynamics, unlocking new possibilities in wind turbine design, was recently published in Wind Energy Science.
Tyagi, a graduate student pursuing her master’s degree in aerospace engineering, completed this work as a Penn State undergraduate for her Schreyer Honors College thesis. Welliver Professor in the Department of Aerospace Engineering and co-author on the paper, said Glauert’s original work focused exclusively on the maximum attainable power coefficient, which measures how efficiently a turbine converts wind energy into electricity. Schmitz said the simplicity of Tyagi’s addendum based on calculus of variations, a mathematical method used for constrained optimization problems, will allow people to explore new facets of wind turbine design.
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