You're going to have a problem if your peak is 6am to 9pm because outside that time, when charging occurs, you won't have much solar generation, if any. Is your rate really a 15 hour peak period?
Naturally, today, the first full day I have time-based control available to me, the sun almost never shined. Almost complete and total cloud cover, rained all day. (yesterday when I had time based control only after 6am when it showed up on my App it seemed to work perfectly - it charged up the battery whenever solar exceeded my house draw, had lots of sun in Houston yesterday, the battery hit 100% charged in early afternoon)
But, when I checked it this morning at 4:30am I noticed my powerwall was discharging (4:30am is non-peak, so I wanted to use grid power only). Later once tech support opened, I called them and got the bad news - basically what you said - it doesn't charge the powerwall during the "peak" period. This is NOT what I observed yesterday, which she could not explain unless the powerwall never got the setting until very late in the evening, even though I set it that morning at about 6am. My powerwall is connected with an ethernet cable to my router, no drop-out from wi-fi is possible.
So, I'm badly confused. And to make it worse, the tech support person had no explanation for why it was discharging outside my peak with about 40% charge in the battery at 4:30am today.
And worse still, when the sun came out today at all (as I type this I am getting 0.4kw) the system is doing this - all 0.4kw is going to the house, plus another .3kw from the powerwall, for a total of .7kw feeding the house. This contradicts what tech support said (I think, I certainly could be wrong) which was that all solar would go out to the grid during peak. Meaning if my house was drawing 0.7kw, and the sun was producing 0.4kw, then the powerwall would provide 0.7kw to the house and the solar 0.4kw would be exported. Nope, did not happen that way.
At any rate, I have zero understanding of what time of use means or does, after listening to tech support explain it and reading the Tesla website.
The solution she gave me was to try a couple of things - 1) I can turn off the powerwalls at 9pm. This will prevent them from discharging at night, but of course they won't be there in an unplanned outage, 2) put them in backup mode at 8pm, so by 9pm they'll register it and stop discharging at night. Of course this would mean changing the mode back in the morning if I want to store solar energy and use it when my rates are high. 3) she thought self-powered mode might work best for me. But this mode would allow the powerwall to discharge at night if there was any battery left at the end of the day. In turn that would mean a flat battery in the morning, and I'm buying expensive kwh until the sun comes up.
So, I'm disappointed with the modes of operation - none serve my needs. She said they are busy updating all the time, and it may be that they'll have a mode I can use someday. Till then, its going to be a very manual operation getting the most out of my powerwall. I define most as storing my expensive (I had to pay through the nose getting the solar panels installed, they are not cheap in TX where few subsidies exist) solar energy in the battery and not exporting ANY to the grid, and using it during the time of day from 6am to 9pm when I pay for electricity. Outside those hours my rate is zero cents per kwh.
If anybody can post a clear, sensible explanation of what Tesla's time of use, cost saving mode does that is in any way good for the consumer, please try. Because I have no idea.