The "Nessie Curve" shows that power at 5:00pm is worth more, especially in sunny environments (like Hawaii). Solar energy is taking over those areas, but solar power begins to drop dramatically as the sun sets.
5:00pm to 8:00pm is still quite warm, so you need to turn on the gas turbines to provide electricity. But solar's efficiency has dropped dramatically, so you can't really rely upon solar power in those hours (well... you can... but at dramatically lowered efficiency).
I'm not sure any analysis is worthwhile unless it includes the time-of-day, as well as the number of hours that the batteries can load-shift power. 5:00pm to 8:00pm power is going to cost more in the future than 12:00pm power, simply due to this whole solar energy thing going on.