You should also review this Resmed battery use document for help in determining the proper battery size for your needs: https://document.resmed.com/documents/ar...lo_eng.pdf
For me, mobility, size and weight were not a consideration. I was looking for a home based long term (just in case) system. I have been using this system on a constant basis for 2 years. If the power ever fails while I'm asleep, I never know it.
Here is my setup:
KDS 12/24 Power Supply for the A10 Series - $40
Group 27 Marine Deep Cycle Battery 175 CCA - $60
Battery core charge (one time)- $15
Plastic Battery case enclosure - $15
Battery Tender - Full Time Charger - 750 mA - $30
Total cost: $160
Try a search for "battery backup" (include the quotes).
Good luck!
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