A single-phase motor operating off a 400 V, 50 Hz supply is developing 10 kW with an

efficiency of 84% and a power factor of 0.7 lagging. If two similar capacitors are connected in

parallel with each other to form a capacitance bank in order to correct the power factor to unity.

a) Draw the phasor diagram based on computed branch currents; and the power triangles

before and after power factor correction.

b) Determine the capacitance required for each capacitor.

c) Verify your answers using Matlab/Simulink

- show the rms currents on the Simulink model

- Plot the instantaneous branch currents and show clearly how the phase angle between

the supply voltage and supply current changes before and after power factor

correction changes, accordingly.