Yes, you would need a lot of wind turbines to have a significant, noticeable effect on the weather. There are three potential impacts:
- Wind turbines will change the pattern of turbulence downwind from them.
- Wind turbines will take some energy out of the wind
- Wind turbines will typically displace thermal plant generation, which means that less heat and less steam / water vapour is released from thermal plants: this may have an effect on the local weather in the immediate vicinity of the thermal plant.
As far as I know, point 3 hasn't been studied yet. Points one and two have been looked at in various forms, with different types of micro, meso and macro modelling. The difficulty, as ever, is that we are modelling turbulence, with uncertain boundary conditions. Those who do meso and macro scale modelling are aware of the problems that this causes, but publish nevertheless. There are those who do do bottom-up modelling, starting with the micro modelling of individual turbines, and building up from there, either with processor-intensive area-wide micro-modelling, or through parameterisation. Professor Mark Z Jacobson of Stanford has published quite a lot in the field, and also contributes comments on others work in the field.
At the moment, the bottom line is that deployment is so low, as to give virtually no significant results, with one notable exception: wind turbines can increase the turbulence immediately above ground, in their wake, and this can be quite effective in preventing ground frost. This has been used by farmers, who put turbines on the edge of their field to help protect their winter crops from frosts.
From reference 1 (parameterisation of micro results):
Should wind supply the world’s energy needs, this parameterization
estimates energy loss in the lowest 1 km of the atmosphere to be
~0.007%. This is an order of magnitude smaller than atmospheric energy
loss from aerosol pollution and urbanization, and orders of magnitude
less than the energy added to the atmosphere from doubling CO2. Also,
the net heat added to the environment due to wind dissipation is much
less than that added by thermal plants that the turbines displace.
There are various works in the field, and it can be helpful to do a quick sanity check on a paper's assumptions, to assess it:
- Does the paper account for all vertical mixing within reasonable range of the turbine (good), or does it impose some arbitrary ceiling close to turbine height, and assume no mixing above it (bad)?
- Does it take account of a mix of onshore and offshore wind ?
- Do any extrapolations of deployed wind copy existing patterns (bad), or model deployment based on realistic forecasts of planned deployment (good)?
- Investigating the Effect of Large Wind Farms on Energy in the Atmosphere
Magdalena R. V. Sta. Maria and Mark Z. Jacobson, DOI:10.3390/en20400816