A solar energy installation utilize a three – phase bridge converter to feed energy into power system through a transformer of $$400V/400 V,$$ as shown below. The energy is collected in a bank of $$400$$ $$V$$ battery and is connected to converter through a large filter choke of resistance $$10\Omega $$.

The maximum current through the battery will be

The input voltage given to a converter is
$${V_i} = 100\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t} \right)\,\,V$$
The current drawn by the converter is
$${i_i} = 10\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t - {\pi \over 3}} \right)\,\, + 5\sqrt 2 $$
$$\sin \left( {300\pi t + {\pi \over 4}} \right)\,\, + \,\,2\sqrt 2 \,\,\sin \left( {500\pi t - {\pi \over 6}} \right)A$$

The active power drawn by the converter is

The input voltage given to a converter is
$${V_i} = 100\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t} \right)\,\,V$$
The current drawn by the converter is
$${i_i} = 10\sqrt 2 \,\,\,\sin \,\,\,\left( {100\pi t - {\pi \over 3}} \right)\,\, + 5\sqrt 2 $$
$$\sin \left( {300\pi t + {\pi \over 4}} \right)\,\, + \,\,2\sqrt 2 \,\,\sin \left( {500\pi t - {\pi \over 6}} \right)A$$

The input power factor of the converter is

A solar energy installation utilize a three – phase bridge converter to feed energy into power system through a transformer of $$400V/400 V,$$ as shown below. The energy is collected in a bank of $$400$$ $$V$$ battery and is connected to converter through a large filter choke of resistance $$10\Omega $$.

The $$kVA$$ rating of the input transformer is