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Regarding the question of whether the ZoneAirBalance:OutdoorAir object is compatible with ZoneMixing objects: I just opened the 'SingleFamilyHouse_TwoSpeed_ZoneAirBalance' example file, which contains a ZoneAirBalance object, and added a ZoneMixing object to supply a constant flow to the living zone from the garage zone.

The model with ZoneMixing runs successfully, and affects the output for 'Zone Combined Outdoor Air Current Density Volume Flow Rate', thus seeming to indeed be compatible. However, I have not confirmed that the results make sense in relation to the zone air balance calculation, just that they ran without error and did 'something'. I'll try to get deeper into it later; hope this helps!

Regarding the question of whether the ZoneAirBalance:OutdoorAir object is compatible with ZoneMixing objects: I just opened the 'SingleFamilyHouse_TwoSpeed_ZoneAirBalance' SingleFamilyHouse_TwoSpeed_ZoneAirBalance.idf example file, which contains a ZoneAirBalance object, and added a ZoneMixing object to supply a constant flow to the living zone from the garage zone.

The model with ZoneMixing runs successfully, and affects the output for 'Zone Combined Outdoor Air Current Density Volume Flow Rate', thus seeming to indeed be compatible. However, I have not confirmed that the results make sense in relation to the zone air balance calculation, just that they ran without error and did 'something'. I'll try to get deeper into it later; hope this helps!

Regarding the question of whether the ZoneAirBalance:OutdoorAir object is compatible with ZoneMixing objects: I just opened the SingleFamilyHouse_TwoSpeed_ZoneAirBalance.idf example file, which contains a ZoneAirBalance object, and added a ZoneMixing object to supply a constant flow to the living zone from the garage zone.

The model with ZoneMixing runs successfully, and affects the output for 'Zone Combined Outdoor Air Current Density Volume Flow Rate', thus seeming to indeed be compatible. However, I have not confirmed that the results make sense in relation to the zone air balance calculation, just that they ran without error and did 'something'. I'll try to get deeper into it later; hope this helps!

Edit: the two idfs can be found here.