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When using HVACTemplate, the DOAS supply air is delivered to the zone using an AirTerminal:SingleDuct:VAV:NoReheat object which is contained within aZoneHVAC:AirDistributionUnit which produces the following outputs:

Output:Variable,*,Zone Air Terminal Sensible Heating Energy,hourly; !- HVAC Sum [J]
Output:Variable,*,Zone Air Terminal Sensible Cooling Energy,hourly; !- HVAC Sum [J]
Output:Variable,*,Zone Air Terminal Sensible Heating Rate,hourly; !- HVAC Sum [W]
Output:Variable,*,Zone Air Terminal Sensible Cooling Rate,hourly; !- HVAC Sum [W]

These outputs reports the sensible heating or cooling energy delivered to the zone by an air terminal unit.

To clarify what Zone Air Heat Balance System Air Transfer Rate means, from the Input Output Reference definition:

The Zone Air Heat Balance System Air Transfer Rate is the sum, in watts, of heat transferred to the zone air by HVAC forced-air systems and air terminal units. Such HVAC systems are connected to the zone by an inlet node (see ZoneHVAC:EquipmentConnections input field called Zone Air Inlet Node or Node List Name) . . .

For this model, this would include the net sensible heating/cooling of both the DOAS terminal unit and the VRF system.

When using HVACTemplate, the DOAS supply air is delivered to the zone using an AirTerminal:SingleDuct:VAV:NoReheat object which is contained within aZoneHVAC:AirDistributionUnit which produces the following outputs:

Output:Variable,*,Zone Air Terminal Sensible Heating Energy,hourly; !- HVAC Sum [J]
Output:Variable,*,Zone Air Terminal Sensible Cooling Energy,hourly; !- HVAC Sum [J]
Output:Variable,*,Zone Air Terminal Sensible Heating Rate,hourly; !- HVAC Sum [W]
Output:Variable,*,Zone Air Terminal Sensible Cooling Rate,hourly; !- HVAC Sum [W]

These outputs reports report the sensible heating or cooling energy delivered to the zone by an air terminal unit.

To clarify what Zone Air Heat Balance System Air Transfer Rate means, from the Input Output Reference definition:

The Zone Air Heat Balance System Air Transfer Rate is the sum, in watts, of heat transferred to the zone air by HVAC forced-air systems and air terminal units. Such HVAC systems are connected to the zone by an inlet node (see ZoneHVAC:EquipmentConnections input field called Zone Air Inlet Node or Node List Name) . . .

For this model, this would include the net sensible heating/cooling of both the DOAS terminal unit and the VRF system.