GATE EE 2016 Question Paper (06-Feb-2016) (Shift 2)

Consider a system consisting of a synchronous generator working at a lagging power factor, a synchronous motor working at an overexcited condition and a directly grid-connected induction generator. Consider capacitive VAr to be a source and inductive VAr to be a sink of reactive power. Which one of the following statements is TRUE?

A buck converter, as shown in Figure (a) below, is working in steady state. The output voltage and the inductor current can be assumed to be ripple free. Figure (b) shows the inductor voltage $V_L$ during a complete switching interval. Assuming all devices are ideal, the duty cycle of the buck converter is ________.

A steady dc current of $100A$ is flowing through a power module (S, D) as shown in Figure (a). The $V-I$ characteristics of the IGBT (S) and the diode (D) are shown in Figures (b) and (c), respectively. The conduction power loss in the power module (S, D), in watts, is ________.

A 4-pole, lap-connected, separately excited dc motor is drawing a steady current of $40A$ while running at $600rpm$. A good approximation for the wave shape of the current in an armature conductor of the motor is given by

If an ideal transformer has an inductive load element at port 2 as shown in the figure below, the equivalent inductance at port 1 is