A transformer is connected to the output of inverter in order to step up the AC voltage output.
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A: Absolutely but the output for a power transformer will be less. the phases can also be out of phase on the output yielding no output at all.
what is the main function of transformer in inverter
It will work, but the transformer will not be able to supply its full rated load, because of the harmonic distortion of the non-sine wave output of the inverter. The transformer will also probably run a little hotter too. If you are talking a small load fed from a transformer much larger than required, probably nothing to worry about. But if the power level is large, or you are loading the transformer to more than 30 or 40% of its rated VA, you could run in to trouble. Monitor voltages and temperatures carefully (and have a fire extenguisher handy...)
There is no 'standard' output current from a transformer. The secondary (output) current depends on the load, and should not exceed the rated secondary current. To find the rated secondary current, you divide the transformer's rated volt amperes by the rated secondary voltage. The above cited answer need more descriptive ; a) V/Z = I, b) V/Z = I + Magnetizing current of the transformer taken from Primary side of the transformer.
The frequency is dependant upon what electrical grid that you are connecting the transformerto. If you are connected to a 50 Hz grid, the transformer will output a voltage at 50 Hz. The same thing with the 60 Hz grid, the transformer will output a voltage at 60 Hz.