Its a good reason the charger would not power the meter, and that is isolation for safety.
If you try this, you need an isolated power supply, that can handle AC-mains connected between the secondary (output) and primary (AC-line input) And probably more, if the DVM is rated to 1000V, the PSU must be safe with this voltage between primary and secondary.
This is due to no isolation between the measurements probes, and the battery.
Probably better to get a cheap bench DVM that is designed for the task.
I was given an older DVM that uses 4 AA NiCad Cells. The charge port won¡¯t power the DVM. I do not need another portable DVM but I can use a dedicated one for my workbench.
I considered making ¡®cell eliminators¡¯ from wooden dowels and brass thumb tacks but I have more projects then time.
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My EE friend suggested I visit this site:
They make plastic adapters?that slip into place of an AA/AAA/C/D cell(s) with proper end terminals and wires.
Slip in, connect to your power supply and you are good to go.
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I¡¯ve added a fuse, silicon diode wired to clamp the voltage to 0.7V and a 6V over voltage protection circuit.
If this is too far off topic, please PM me or let me know and I¡¯ll delete it.