The input voltage $${V_{DC}}$$ of the buck-boost converter shown below varies from $$32$$ $$V$$ to $$72$$ $$V.$$ Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio $$D$$ of the converter for which the magnitude of the steady state output voltage remains constant at $$48$$ $$V$$ is

In the converter circuit shown below, the switches are controlled such that the load voltage $${v_0}\left( t \right)$$ is a $$400$$ $$Hz$$ square wave.

The RMS value of the fundamental component of $${v_0}\left( t \right)$$ in volts is ___________.

A $$3$$-phase voltage source inverter is supplied from a $$600V$$ $$DC$$ source as shown in the figure below. For a star connected resistive load of $$20\,\,\Omega $$per phase, the load power for $${120^ \circ }$$ device conduction, in $$kW,$$ is ___________.

The bus admittance matrix for a power system network is $$$\left[ {\matrix{ { - j39.9} & {j20} & {j20} \cr {j20} & { - j39.9} & {j20} \cr {j20} & {j20} & { - j39.9} \cr } } \right]\,pu.$$$
There is a transmission line connected between buses $$1$$ and $$3,$$ which is represented by the circuit shown in figure.

If this transmission line is removed from service what is the modified bus admittance matrix?