I have a Fantech HRV shr3205d. I am running it continuously on low in my house. I have a waterfurnace geothermal cooling system. The humidity level is staying around 60%. Once this summer, it went to 50%. I noticed that the drain hose that is connected to the drain pan on the HRV does not have any water/condensate running through it. The only time I saw water running through the drain hose was when the humidity level in my house fell to 50%. I have cleaned the aluminum core and filters. I have questions:

Should the HRV produce condensate during operation in the summer? I would think if the air being exhausted is cool and the intake air is warm, when the pass by each other, condensation should form? If condensation is not forming, is this an indication that there is something wrong with the unit or the aluminum cores? Could this explain the elevated humidity in my home?

I am running my geothermal at 68 and the house still has humidity levels above 60% and does not feel as cool as would be expected. Please advise.

Thanks for any help!!

The HRV is unlikely to make much condensate in the summer. It takes a case where the dewpoint of the incoming air is a bit above the air temp of the house air.
You can only rely on the HRV decreasing humidity levels when the outside air is drier than the inside air. In that case the more you run it, the dryer it gets. This usually only works in winter.
You have to get your dehumidification from the geothermal system, or add a stand alone dehumidifier, or decrease the amount of moisture you are adding to your house. The moisture comes from cooking, showers, perspiration, and your HRV.
The HRV is making the situation worse, you are admitting 105 cfm of moist outside air continuously. This may be more that the geothermal system can dehumidify
Try as an experiment, turning off the hrv for a week and monitor humidity levels-they should go down
.
Post the results, and we can go from there.
Eric

If your AC system doesn't have an option to do more dehumidification without doing more cooling, then add a standalone dehumidifier.