Consider the situation shown in Figure 3. A 1000V rms source delivers power to a load. The load consumes 100 kW with a power factor of 25 percent lagging.

a) Find the phasor I, assuming that the capacitor is not connected to the circuit. [5 marks]

b) Find the value of the capacitance that must be connected in parallel with the load to achieve a power factor of 100 percent. Usually, power-systems engineers rate capacitances used for power-factor correction in terms of their reactive power rating. What is the rating of this capacitance in kVAR? Assuming that this capacitance is connected, find the new value for the phasor I. [5 marks]

c) Suppose that the source is connected to the load by a long distance. What are the potential advantages and disadvantages of connecting the capacitance across the load? [5 marks]

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1000 2/0 V w=377 +1 Load Figure 3 C 1000 2/0 V w=377 +1 Load Figure 3 C