Only the supplier may earth the neutral - By earthing the incoming neutral to earth you could become the star point for the transformer in the street and you could end up melting your incoming neutral wire if there is a bad connection in the sub station or worse your cable could catch fire.
If you really think it is a problem , maybe as a test , install an earth from neutral to a earth spike and place a 60 Amp circuit breaker in line with the earth - At least then if your neutral becomes the star point and starts drawing excessive current it will trip the CB and disconnect " your star point"
I would not leave it for more than a day or 2 .
As mentioned by other's - RCB's will see a cumulative leakage to earth from the various appliances , the more appliances on a RCB the increased chances of intermittent tripping happening . We generally install 2 or 3 in a house depending on the qty of appliances - My own house I had 5 as my tolerance level for dealing with intermittent tripping units is low.
I have had RCB tripping problems on problematic incomers especially on overhead lines on windy days but it is unusual.
We find that inverters that are grid tied and zero feedback set , still feed back onto the grid when there is a sudden change in load , not much but up to 250w spikes - Have you tried not using your inverter for a day or two to see if it makes a difference
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