This example shows how to use an AC battery model.
The example compares three different batteries. The battery
named bat_ideal is ideal and it does not account for
any losses. The battery named bat_loss_acdc accounts
for conversion losses when converting between AC to DC. The battery
named bat accounts for both conversion losses and
inefficiencies during the charge and discharge phases.
All the batteries start from the same initial condition that is
50% of their total capacity. The batteries are charged and
discharged in the same way. The input signal pow.y is
the power that each battery should store or release. The signal has
a duty cycle equal to 50%. Hence, if there are no losses,
the same amount of power stored into the battery will be released
and after one cycle the State Of Charge (SOC) has to be equal.
The image below show the SOC of the three batteries.

As expected the red line (ideal battery) maintain the SOC over the time. The other two batteries loose some of the initial energy due to the losses.