I suspect the problem is that the inverter is plugged into a 12V outlet and to much voltage drop. CPAP may need 10a or more peak, and that means putting the inverter either near the battery, or using 12ga wiring at least to the inverter.
trying to run my new resmed with a humidifier gave the same results you experienced until I beefed up the wiring to the 12V outlet I was using. Either trying to run it on the 24V converter for it, or a sine wave inverter.
BTW I've use CPAP for year in our trailer. What I have found is that even the ones that run on 12V will need a short and heavy gauge wire especially if the have the humidifier.
w/o the humidifier, wire isn't as big an issue, but likely will need a reasonably good connection to 12V.
And BTW ALL current CPAP internally are either 12V or 24V powered. they may have 120V going in, but that goes through a transformer to either 12V or 24.
And most of the current ones have an external brick that goes from 120 down to either 12V or 24V.
IF YOUR IS A RESMED S9 OR RESMED AIRSENSE S10 IT IS 24V INPUT!!!! NOT 12V. AND IS REVERSED POLARITY ON THE PLUG FROM COMMON PLUGS. YOU MUST USE THE PROPER CONVERTER FOR A DC INPUT. the ac adapter for the resmed is a 120V to 24VDC converter.
if it is a resmed, then battery power solutions offers a 12V to 24V converter that will power it and draw considerably less power than running it off an inverter.
HERE IS INFO ON RESMED CPAP
RESMED DEVICE WARNING: If you are using any device manufactured by ResMed you must use either a power converter or power inverter to complete the connection between the device and the C-100 Battery Pack as newer ResMed devices operate from a 24V direct current and the input plugs on older ResMed devices run opposite polarity from other manufacturer devices. DO NOT connect the Battery Pack directly to any ResMed model device as doing so will damage the ResMed device.
2011 Keystone Outback 295RE
2004 14' bikehauler with full living quarters
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2004.5 Silverado 4x4 CC/SB Duramax/Allison passed on to our Son!