You might also check the 12v battery, if it's limping along on the original or a dead one it would have to be constantly recharged by the HV battery & inverter running more often. Our 2013 had the original battery still in it when we bought it a couple months ago, clinging on at 11.9v. Mileage seems to have improved slightly with a fresh one.
Best Battery for Toyota Prius
I have a 2016 Gen 4 that my partner commutes about 100 miles round trip in. Aside from its strange looks it's a great car. Zero repairs so far at more than 220K miles. No rattles or clunks. Every single electric button and switch still works.
Toyota Prius, the battery isn't that big of a deal, the health can be checked with an app and a dongle, and they;re the most reliable cars on the planet.
Optima yellow top. It's around $300 ish. The last one was replaced after a decade. The new one I have will probably be the last one.
Pruis 12v battery last a long time. I just replaced my 11 year old battery. It was still working I just decided to do it as maintenance.
Paid $350 US recently for a 12 volt for a 2018. Yep, I know that's a lot, but I was at the dealership getting routine maintenance done and it tested borderline. Knew this to be true and was carrying a jumppack. However, it's with a lifetime warranty. That sold me.
My 2012 recently needed a battery replacement
So on top of cold weather, your battery may need attention
Assuming that it's a hybrid and not a PHEV it should run you about $2,500 to have it done professionally, or less than $1000 to do it yourself. At least that was my experience with my Prius.
Having been burned with low quality auto parts store batteries (specifically for the Prius) and their being unable to honor their warranties, the Toyota battery is the only way to go.
I used an Optima, never again.
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