Moment of Inertia Dependence of Vertical Axis Wind Turbines in Pulsating Winds

<table>Energy efficiency, <svg height="12.175" id="M112" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 8.5249996 12.175" width="8.5249996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M471 401q0 -32 -14 -91l-83 -376q-30 -146 -21 -180l-7 -15q-22 0 -47.5 23.5t-25.5 40.5q0 49 53 271l53 224q4 18 6.5 31t3.5 22.5t1 15t-2 9t-4.5 4.5t-6.5 1q-31 0 -100.5 -63.5t-126.5 -145.5q-16 -53 -40 -163q-48 -11 -74 -21l-7 8l82 341q9 36 -4 36
q-8 0 -28.5 -14t-38.5 -32l-17 22q41 43 85 71t66 28q23 0 23 -39q0 -19 -10 -64l-24 -103h2q77 101 201 182q37 24 74 24q31 0 31 -47z" id="x1D702"></path></g>
</svg>, for wind amplitude (a) <svg height="11.6375" id="M113" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 23.637501 11.6375" width="23.637501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.362)"><path d="M600 0h-557v24l268 633l28 8l261 -641v-24zM497 50l-194 489l-196 -489h390z" id="x394"></path></g><g transform="matrix(.017,-0,0,-.017,10.959,11.362)"><path d="M730 650l-8 -28q-52 -4 -72 -18t-64 -77q-79 -113 -321 -539h-33l-119 541q-13 59 -29.5 73t-66.5 20l7 28h245l-8 -28l-28 -5q-33 -6 -40.5 -15.5t-0.5 -38.5l102 -450h2q191 320 246 430q21 42 15.5 56t-43.5 19l-31 4l7 28h240z" id="x1D449"></path></g>
</svg> = 1 and (b) <svg height="11.6375" id="M114" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 23.637501 11.6375" width="23.637501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.362)"><use xlink:href="#x394"></use></g><g transform="matrix(.017,-0,0,-.017,10.959,11.362)"><use xlink:href="#x1D449"></use></g>
</svg> = 2 m/s.</table>

International Journal of Rotating Machinery

fig11

Figure 11

Figure 11: Moment of Inertia Dependence of Vertical Axis Wind Turbines in Pulsating Winds 