the denso and mitsubishi alternators with separate wire inputs are not exactly the best - such little nuances cause the system to go off, the nice ones are the 2 wire ones where there is only 1 wire for the charging light and one charging wire to the battery, like old Bosch alternators, some HD mistubishi products also use them but had an extra pin for reference voltage which was supposed to be fed from a main relay - on retrofitting I would simply tie to the charging wire - such alternators require a 3W load (bulb) to be present in order to excite and start working.
Our cheeta qism ke electricians would screw that up too. They would tie those mitsu alternator sense wire to the switch which (because of voltage loss) would cause the alternator to almost never switch off hence boiling out the battery and sometimes even spiking the voltage to dangerous levels.
They were usually lost on bosch items (mursdeez ka hota hai - hamain samaj nai aata) - the simple solid state regulator had a ground through the case and its positive was a leaf spring inside the mounting cavity - usually required a slight scrape to clean or a new regulator, they are cheap as chips to buy.
sorry to get off track.
the charade uses the key switch signal as reference voltage (usual cause of battery boil too)