AEB and probably Emer given Emer's take on V34 injectors and Emer vapour filter.
The way thats behaving to me looks more like its not seeing either an RPM signal or injector pulsing
Resistance in the joint, very often the fuseholder, causes it to warm up, the resistance increases and then the system switches off due to low voltage.
Agreed with both, either could be the case here but very unlikely both.
Older AEB systems time out if they don't see an RPM pulse on the brown wire for several seconds (extent of time depends on branding and firmware), newer AEB systems don't need the brown wire to be connected because they can be set up to detect RPM from injector pulses. Your ECU is new enough to have the Supaseal interface plug (which we'd expect anyway if it is an Emer system) so probably doesn't necessarily need the RPM wire to be connected (especially if firmware is updated) but still it may be set up to detect RPM using the brown RPM wire.. Would expect a system that needs (or is set up to use) the brown RPM wire to time out just as we see in the video when the ignition is on but engine isn't started but should of course stay on when the engine is running. In case of RPM detection problem would suspect the problem to be one of only a few things: Brown wire disconnected from ignition pulse (was maybe connected right at the coil pack on this engine) / after fitting a different ECU that is setup to use the brown wire (or must use the brown wire in case of an older ECU) / after someone has tampered with rpm detection settings in software.
If you leave the LPG system switched to petrol and the red light on the switch remains on while-ever the engine is running this would go quite a way towards disproving the problem being due to RPM signal (because the red light would go off even while running on petrol without an RPM signal)... except with certain firmware versions!
On Gilbert's point - While the LPG system is in standby mode, even with lights flashing on the switch as in waiting to switch automatically to LPG, the system needs very little power but draws more power when it's about to switch to LPG as that's when it sends power to open the tank and reducer solenoids (the coils on those solenoids should draw about an amp each) and then draw more power again when it starts to pulse LPG injectors. Can easily have situation as Gilbert described where the system gets 12v when using negligible power (standby waiting to switch to LPG) but then voltage is pulled down too low for the system to operate when it attempts to draw more power... And building on that point, if there's a problem with a solenoid coil or LPG injector coil the coil may draw more current than it's supposed to draw, resulting in voltage being pulled down further and/or the main fuse to blow.
Without the interface / software could check main power + feed including fuse, earth connection, disconnected RPM wire probably close to the coil-pack's plug.
Shouldn't need the lube on that engine but won't hurt.
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