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Battery charging voltage depends on type of batteries. The more important thing is the charging current.
As I know, a multi-stage charger never stops charging, and it never should.
A floating charge is needed constantly to overcome the self discharge of batteries. Refer to this site:
You mentioned "this inverter"... Where is the inverter??
It really depends on which inverter you are referring to.
In general, for a 12V lead-acid battery, charging voltage is between 13.5V and 15V, depending on required charging current.
For a multistage charger, the bulk stage uses a voltage between 14.5V and 15V.
During the trickle stage, it uses a voltage between 13.5V and 14V.
There might be more stages, eg absorption, but this depends on your inverter.
If charging is terminated, it's done either when the battery voltage reaches a certain level (13.5V - 14.4V, depending on charging and sensing method), or when battery charging current falls below a certain level. Again, we don't know if the inverter terminates charging or employs trickle charging.
H bridge for what? rectifier? then zero crossing detector is still used to produce firing pulses.... It will start a timer and the output will be high for certain time (less than half period) to bias the MOSFET.. It is better than PWM ing the MOSFET with higher frequencies....
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