An interesting problem this.
In NZ and Australia the wiring regs exempt cookers and ranges from requiring RCD protection, and I have always assumed that the reasoning for this is that cooker elements have a naturally high earth leakage current. This makes some sense, as elements constructed with a conductive core and sheath separated by mineral insulation which seems like a good recipe for high leakage.
Can agaricus bisporus advise us is the RCD required by code? If not, then the best bet may well be to remove it.


Mark aka Paulus