Question

# How can I calculate the power coefficient(cp) and optimal tip speed ratio of micro-generation wind turbine?

Hi there!  I am trying to find out the optimal rotor speed and power coeficiente.  southwest windpower  manufacturer: Air 40 .Data: Rated power- 160 watts @ 12.5 m/s wind speed ,diameter - 1.17 m. How can I calculate the power coefficient(cp) and optimal tip speed ratio. Is there any reference  study about it?

12th Mar, 2021
NED University of Engineering and Technology, Karachi
Use Qblade software, it will give you Cp, TSR, and other required parameters.

Hello;
You have two cases:
1. You have the equation of power coefficient Cp = f ( Vwind ) .
In this case you can directly calculate the value of the Cp for each value of  wind  speed Vwind ( For each value of the wind speed, there is an optimum rotor speed for which the power coefficient Cp will be optimal).
So you can get the optimum power coefficient Cp and the optimum rotation speed directly from the Cp equation.
2. You do not have the equation of power coefficient.
In this case you must use power optimization algorithm ( MPPT ) as P & O , PSO ...
5 Recommendations

9th Jun, 2015
Marek Mazur
Institut National des Sciences Appliquées de Rouen
You could try to model the wind blade a a propeller, except that the rotation is generated by the wind (and not the other way round).
You will find the needed equations under "Propeller theory" in a helicopter dynamics textbook
9th Jun, 2015
Thanks Marek
Hello;
You have two cases:
1. You have the equation of power coefficient Cp = f ( Vwind ) .
In this case you can directly calculate the value of the Cp for each value of  wind  speed Vwind ( For each value of the wind speed, there is an optimum rotor speed for which the power coefficient Cp will be optimal).
So you can get the optimum power coefficient Cp and the optimum rotation speed directly from the Cp equation.
2. You do not have the equation of power coefficient.
In this case you must use power optimization algorithm ( MPPT ) as P & O , PSO ...
5 Recommendations
Calculation of Cp vs tip-speed-ratio relation is not straight forward. Consult a standard wind energy text such Wind Power Handbook or Wind Energy Explained. If the turbine is commercial, the manufacturer should provide its performance curve (determined experimentally).
3 Recommendations
11th Jun, 2015
Thanks , Metatia and Irfan
17th Apr, 2020
Ali K. Resen
Ministry of Science and Technology,Renewable Energy Directorate- Iraq
Analysis of a New Horizontal Axes Wind Turbine with 6/3 Blades
12th Mar, 2021