How to add Fan zone exhaust by measure?

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Like all ZoneHVACComponents, you'd use ZoneHVACComponent::addToThermalZone. See the SDK Documentation here:

bool openstudio::model::ZoneHVACComponent::addToThermalZone ( ThermalZone & thermalZone )

Adds this ZoneHVACComponent to the thermal zone while managing all node connections automatically. Returns true if the operation was successful.

The actual implementation for FanZoneExhaust is at FanZoneExhaust.cpp#L152:L188 if you're curious.

Example:

m = OpenStudio::Model::Model.new
z = OpenStudio::Model::ThermalZone.new(m)
fan = OpenStudio::Model::FanZoneExhaust.new(m)
fan.addToThermalZone(z)