Been through something very similar getting my van dialled in for winter — the drop-off in solar yield between November and February is genuinely brutal, especially if you're anywhere north of Birmingham.
A few things that made a meaningful difference for me:
Tilt angle matters enormously in winter. Most people mount panels flat or at a shallow pitch optimised for summer. In December the sun barely gets above 15–20° elevation, so steep tilting (even 60–70°) can almost double your harvest on a clear day. Worth experimenting if your hut's roof allows any adjustment.
Shade is the killer nobody talks about. A shepherd's hut is often sitting in a field with hedgerows or trees nearby — even partial shading across one cell can devastate an entire string depending on your setup. A Victron SmartSolar MPPT with proper panel-level monitoring will at least show you where you're losing yield.
Consider the load side too. What are you actually running through winter? Heating loads especially can absolutely swallow whatever the panels produce. If you're on lead-acid, I'd seriously look at Fogstar's lithium options — the usable capacity difference in cold weather is significant.
What's your current setup — panel wattage, battery chemistry, MPPT controller? That'll help diagnose whether it's a generation problem, a storage problem, or honestly just physics catching up with you.
Also curious whether you have a generator or any secondary charging source as backup. A small Victron Orion or even a basic mains hookup occasionally can take the pressure off entirely during the worst weeks.
Others on here will have cabin-specific experience I lack — hopefully someone with a more fixed installation chimes in.