I wouldn't mind having air time be completely swapped with battery time, keep the same battery time as 2x air time, and simply decrease air at a rate equivalent to speed of vessel.
So, example, current air time is 120 seconds for example.
New battery time is 240 units.
(Current Vessel Speed/Max UW Non-OH Speed) per second + 1
So if the max non-OH speed is 22Kn/22Kn, 2 units per second. Maximum range going NON-OH 0Kn, 1 unit per second, can stay submerged for 4 minutes.
Overheating obviously expends more battery life than current air use as a counterbalance.
Make enemy sonar detection rate (Current Speed + 1)/25.
That means a fully stopped sub has a detection radius of 1/25 what it would normally take, or basically on top of the sub, while a sub traveling 19 knots or faster can always be detected at a normal sonar radius. That also means that subs traveling at more than 24 knots underwater get a larger sonar radius, while smaller subs don't have to worry about it.
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