How to numerically calculate output power of VAWT?

Bumbold Batbold

While contemporary HAWT farms yield 2-3 W per square meter, field studies with VAWT farms demonstrate a potential generation of 30 W per square meter.

I recommend that you read this paper: Conference Paper Numerical analysis of vertical axis wind turbine

Abdelhalim abdelnaby Zekry

Dear Bumbold Batbold ,

It is better to calculate the output power per m^2 of the swept area of the blades.

It may be that the area is different in your case and Makemu EOLO 3000.

May be it is the different area which makes such large difference.

So, you have to specify the area in two cases. The other advise is to use MKS of units.

Best wishes

Ayush Parajuli

It is better to calculate the wind power density which is defined as the energy carried by the wind per unit area of the blade cross-section normal to the wind direction which is equivalent to 1/2 * density * velocity ^3.

If the turbine height is smaller, then you can extrapolate the velocity from the measured height to the turbine hub height, however, if the turbine size is larger (vertically) then the above equation may not be valid as the velocity change is significant from the bottom of the blade to its top.

The challenging part is to estimate the efficiency because it changes with different factors like the shape of a wind turbine, the profile of blades, its size etc. In fact, in most cases, it is the other way around i.e. you calculate the efficiency of new designs by first estimating the power output of the turbine. The efficiency may be estimated using scaled-down experiments and computational fluid dynamics for various conditions and is usually documented. Therefore, you may find some empirical relations for industrial wind turbines. However, if you are willing to change any part of the design, the efficiency that you used may no longer be valid.

Further, you shall also check the cut-in speed and cut-off speed which are usually provided along the efficiency curve. Therefore, you also need to account for the energy production for the wind speed only in this range. This can be done by using the efficiency curve as the filter for the probability density curve of the wind power (1/2 rho v**3). The basic filtering operation can be done by multiplying these two (PDF of wind power and efficiency curve).

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