The RCD part of RCBOs - and RCDs (RCCBs) for that matter - is only sensitive to an imbalance between the L and N current flowing through that device.
So say you have a fault on the (RCBO-protected) lighting circuit. Let's also assume, for the sake of argument, that your bi-directional RCBO on your PV circuit just happens to be a bit more spritely than your lighting RCBO. Let's further assume that it's sunny, and no energy is coming from the grid... your lights are being fed from the PV, through the PV RCBO, onto the L and N bus bars, to the lighting circuit.
Suddenly - disaster! - there is a short on a light between L and E...
Is the PV RCBO going to trip? It's a fair question. I could be wrong, but I don't think it will:
For the lighting RCBO, there is clearly an imbalance... the current goes through the L, but doesn't all return down the N, some at least instead going down the cpc to E. But let's assume it's sluggish or faulty, and slow to trip.
Just for ease of thinking about it, let's assume it's TN-C-S earthing arrangement, and the 2P main switch is closed (i.e. on). We're not "off grid", we're just not pulling anything from the grid, because it's sunny. The N and E are joined at the PME block / service head. This is effectively between the two RCBOs.
So from the point of view of the PV RCBO, the current will flow through the L, and it will return through the N. The fact that the current has taken a circuitous route makes no difference:
- L through the PV RCBO
- onto the L bus bar
- through the L bit of the lighting circuit RCBO
- through the fault onto the cpc
- back through the MET
- to the PME block / service head where the incoming L and N are joined together
- back through the N tail, through the N of the main switch
- on to the N bus bar
- through the N bit of the PV RCBO
- back to the source of energy (your PV battery or whatever)
So no imbalance between L and N on the PV RCBO.
Ah! But what if it's a TT system? Same argument, just an even more random route.
Happy to be schooled / laughed at if I'm wrong... it's probably the sort of thing John Ward could do a lovely explainer video on. Also, I don't know much about prosumer / battery / PV stuff, so no idea how this all fits into "island mode" or whatever, but my understanding is that - unless you're using electrical separation as your means of fault protection - there has to be a route between E and N for things to work.