In high anticipation I hooked and powered it up, unfortunately to be presented with a screen that looks like this.

You can just make out the cursor.
When I switch input sources on the TV (tuner card in PC in this case) then back to 'TV', very momentarily the screen looks as it should , but then quickly fades to black as per the attached image.
Fine-tuning the frequency has no effect. The ZX81 is a NZ model, with an option switch for Ch 2/3 at the bottom of the unit, Ch 3 appears not to work at all.
I rudimentarily fitted the composite video mod as per http://www.zx81.de, with the same result except the picture qualtiy was slightly worse. Again though, this time flicking the switch on the bottom from 2 to3 and back would for an instant show the correct grey screen with black k, only to fade immediately.
Any thoughts as to what the problem might be and, more importantly, would it be fixable for not too much cost.