I believe the only criterion for the SGIP is that the peak historical (or forecast and subsequently verified) demand averaged over one metering interval (one hour) is at least the size of the inverters in the storage. So you'd have to maintain the 15 kW demand for 2 hours to be sure to have one metering interval with full 15 kW the entire interval.
But you can check yourself, see section 5.3 of the SGIP handbook,
https://www.selfgenca.com/documents/handbook/2017
Now, it turns out that PG&E imposes an additional requirement if you have solar. If you don't have solar, then your interconnection is via a Non-Export Interconnection agreement, you are agreeing that you will just use the Powerwalls for load time-shifting, and that you'll never be a net exporter. If you do have solar, then the battery storage is typically categorized as "NEM Paired Storage". That means you can still export to the grid, but your total export to the grid for the year should not exceed what your solar produces. So you can use your battery storage for load time shifting, or solar production time shifting, or both, but not for direct rate arbitrage (charge from the grid at one time, push back to the grid at another).
The additional requirement for NEM Paired Storage is that if your battery storage is over 10 kW, it is limited to 150% of the size of your solar (for PG&E see the NEM tariff section 11e). So you could only add 15 kW of Powerwalls (3 units) as NEM Paired Storage if your solar system is at least 10 kW. If it is under 10 kW, then that doesn't work.
Now you would think that if you have solar that is less than 10 kW, it might be possible to add the 15 kW of storage via a non-export agreement for the storage, while keeping the solar on NEM. I don't know if that is allowed by PG&E or not. If it is, then that would work for the SGIP program.
As the above discussion is for PG&E, you'll need to check with your own power company to see if their tariffs differ.
Cheers, Wayne