How does one model the wind?

[boreilly]

I've read about the rayleigh distribution representing the mean speed and the Kaimal Spectrum modelling the wind turbulence. But I don't really see the big picture.
I've looked through plenty of other ideas too but started with those as those are the ones that are from my notes.

I'm working on a wind turbine model but I'd like to figure this out as opposed to just getting a list of values of the wind speed taken from a site(I have found some lists on the net). However I'm not sure what to do with the formulas that come from the above models. I can see how the rayleigh distribution represents the wind with higher probabilities for the lower wind speeds and lower probabilities for the higher wind speeds. But how do I go about doing this for my model. My model of the wind turbine has an input for wind speed. So whatever I do to model the wind it must end up with a value that can be inputted to my model and over time the collective wind speed values from the random variations should look like the rayleigh distribution. Has anyone come across anything explaining this or tackled a similar problem before?

 

[Navin A S]

The first step in modelling the wind speed is to understand the relationship between the Rayleigh distribution and the wind speed. The Rayleigh distribution is a probability distribution which can be used to model the mean wind speed over a period of time. It is based on the assumption that the wind speed has a Gaussian (normal) distribution, meaning that the higher wind speeds are less likely to occur than the lower wind speeds.The Rayleigh distribution can be used to calculate the probability of a particular wind speed occurring at a given time. This can then be used to create a probability distribution curve of the expected wind speed values over a period of time. This curve can then be used to generate random wind speeds that follow the Rayleigh distribution.Once you have generated a set of random wind speed values, you can then use the Kaimal Spectrum to model the turbulence of the wind. The Kaimal Spectrum is a mathematical model which describes the variations in the wind speed over a period of time. It is based on the assumption that the wind speed fluctuations follow a power law distribution, meaning that the longer the time interval, the larger the fluctuations in wind speed.Using the Kaimal Spectrum, you can generate random fluctuations in the wind speed data that you have generated from the Rayleigh distribution. This will give you a realistic set of wind speed values for your wind turbine model. You can then use these values as input for your model, and the collective wind speed values should follow the Rayleigh distribution.