Doing some rough "ballpark" arithmetic: Clarity has a 17kW battery - charging from empty to full every night for 30 nights is 510kW. That would come to about 40 cents/kW - which is higher than Hawaii's rate and Hawaii has the most expensive electricity in the nation at 32.45 cents/kW. So I'm guessing there are a number of things contributing to the rise in your bill.
Clarity only uses about 14 kWh of the battery so that would work out to about 47 cents/kWh.
My utility just installed "smart" meters on houses - and we all saw a rise in our bill. The utility says it's because the new meters are more accurate...
I assume your rate plan also changed to time of use? If so that's likely where you are seeing the difference. TOU plans don't always save money it depends on how much electricity you are able to shift away from peak.
In Georgia the standard rate including taxes is 11 cents/kWh. Although during the summer any amount over 650 kWh is 16 cents and since I am usually already over 650 then basically 16 cents is the rate I was paying for charging during summer, 11 cents the rest of the year.
I now have a time of use plan and I pay only 5 cents / kWh including taxes from 11:00 pm to 7:00 am. So I limit all of my charging to those hours. I also run my house A/C pretty heavy from 3:00 am to 7:00 am to suck any remaining heat out of the house while it is very cheap to do so.
Outside of those hours the rate is essentially the standard rate, but with one big catch, during the summer from 2:00 pm to 8:00 pm Mon-Fri the rate including taxes is 33 cents which is basically triple the standard rate. If I were to run A/C during those hours it would be a huge hit on my bill. But since I cool the house down to 71 in the early morning hours and then maintain 74 up until 2:00 pm, I can completely shut off AC from 2:00 pm to 8:00 pm and even on the hottest days it only gets to about 78 by 8:00 pm, then I turn A/C back on.
Not everyone will do what I am doing, but if someone runs AC during peak hours on a time of use plan they may not realize how much that afternoon/early evening AC is costing them.