An HRV draws next to nuthin' less than half an amp of 110-120VAC.
Even if you went all nuts on it with a 3 ton multi-split with four mini-duct cassettes you'd be drawing less than 20 amps FLA or RLA on 220-240VAC circuit. For a clue,
look at the max power draw and circuit breaker recommendations on the submittal sheets. You're more likely to be in the 1.5-2 tons of multi-split (or separate mini-split) and if you use wall coils instead of mini-duct cassettes it'll pull even less current. With right-sized modulating inverter drive DC motors throughout ductless you'll be WELL under the current ratings of typical low efficiency split capacitor motors on the average oversized traditional AC.