Been wrestling with a similar headache on my cabin setup — though mine's single-phase, the underlying physics is the same and it might help narrow down your culprit.
DOL (direct-on-line) motor starts are brutal. A compressor motor can pull 6–10× its rated FLA in the first few cycles, and the MultiPlus-II's overload headroom, whilst genuinely impressive on paper, is time-limited. Victron's own documentation specifies the 6kVA unit can sustain roughly 2× rated current for a short window before the protection trips. If your starting transient pushes beyond that envelope — even briefly — you'll get exactly the growling and shutdown behaviour you're describing.
A few things worth checking:
- Battery internal resistance — a weak or undersized bank collapses under the inrush spike before the inverter even has a chance to respond. What's your DC bus voltage doing at the moment of failure? Log it via VRM or a Cerbo if you have one.
- AC coupling configuration — are all three units properly phase-synchronised? A misconfigured assistant can cause one phase to bear disproportionate load during motor magnetisation.
- Star/delta or soft-starter — honestly, DOL on a Victron stack of this size is always going to be marginal. A basic electronic soft-starter (even a cheap Invertek or similar) transforms the inrush profile dramatically.
On my own 48V Fogstar/Victron setup I added a soft-starter to a 2.2kW pump and the difference in battery sag was immediately visible on the Cerbo graphs — went from alarming dips to barely noticeable.
What's the compressor's rated kW and pole count? That'll help