Obsolete technology for some time now. Think HRV or ERV and proper sizing. Direct exhaust fans assume perfect outdoor temperatures and humidity-rarely available at the same time in most climates.
This is 100% incorrect. The function of HRV/ERV's is to ventilate the house while protecting the home from the outdoor temperature and humidity (in the case of a erv).
If to goal is to take advantage of the out door temperature to passively cool your home, then a HRV/ERV will actually work against you in doing that.
A recent code adoption here in Utah requires us to provide a air pathway that opens/closes when ever that there is a kitchen hood fan over 400 cfm. Many of the home we work on have hoods over 1200 cfm, and the last home we had issue with had two 1200 cfm remote blower kitchen hoods.
Well, the outside air damper (OAD) that provides this fresh air in this case was sized at 14"x48". We also have a return air damper (RAD) and a mixed air sensor (MAS) so that the air from the outside can mix with the indoor air, and the dampers can modulate depending on how much make up air is needed for the kitchen hoods.
When the OAD and RAD modulate and work together, if the MAS indicates a temperature too low before the furnace, there is a electric element heater that tempers the air. In the case of air that is too warm, the air conditioning compensates for this.
With all this work, I figured, "HMM, here is a good opportunity". Well we setup a honeywell Jade controller to allow for passive cooling. Depending on the actual pressure of the house, we have a Tamtech insulated attic fan that receives a 2 speed input from the Jade controller (that changes speed based on how far closed the RAD is.
There are 4 zones in the house, and all of the passive cooling is automated through the Lennox Harmony III zone system and the Honeywell Jade Economizer control. All of the parameters are adjustable (at what point the attic speeds turn off/1st/2nd speed; when the outside temperature is allowed for cooling etc).
When the indoor thermostats indicate that the home needs cooling and it happens to be cooler than 65 degrees (this is how we have it setup for Park City) the cooling call from the Harmony III zone panel is intercepted and the RAD/OAD modulated depending on the MAS (set at 50 degree target minimum, so it its zero degrees, it mixes more indoor air with the outdoor air). The DX cooling (2 stage) or the outside air economized is completely automated, and if there is any pressurization in the building, the 2 speed attic fan is activated. If the indoor kitchen hoods are activated, the attic fan stops, and they act for the method of depressurization.
The net impact is a simple to operate system that addresses make up air for the kitchen hoods, while doubling as a passive cooling system.
Also to note: All of the bathroom air extraction in the home is performed by two Venmar HE2.6 High efficiency HRV's. At first the builder was insistent that the HRV's would provide the needed makeup air for the Kitchen hoods. It took him a while to understand that there is a fundamental difference between fresh air (when provided by HRV/ERV) and makeup air. Fresh air when provided by a HRV/ERV is completely balanced by the nature of its operation because it brings in the same air that it exhausts. Makeup air provides the balance to a exhaust system that a HRV/ERV already by its design.