lipo pack to 16vac inverter design
You probably don't need AC at all. Normal solenoids work on both AC and DC. The only difference is that on DC they don't need as much voltage because the coil inductance doesn't reduce current like it does on AC.

If your battery voltage is too high then you can apply PWM to reduce it at the solenoid. Even if you don't use PWM, you should put a flyback diode across the coil to soak up back-emf (which would otherwise damage your driver circuit when the solenoid is turned off).