GATE EE 2015 Question Paper (07-Feb-2015) (Shift 1)

Two single – phase transformers T₁ and T₂ each rated at 500 kVA are operated in parallel Percentage impedances of T₁ and T₂ are (1 + j6) and (0.8 + j4.8), respectively. To share a load of 1000 kVA at 0.8 lagging power factor, the contribution of T₂ (in kVA) is _____________

In the signal flow diagram given in the figure, $u_{1}and{u}_2$ are possible inputs whereas $y_{1}and{y}_2$ are possible output. When would the SISO system derived from this diagram be controllable and observable?

The transfer functions of a second order real system with a perfectly flat magnitude response of unity has a pole at (2 – j3). List all the poles and zeros.

Find the transfer function $\frac{Y\left(s\right)}{X\left(s\right)}$ of the system given below

The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be K. Now suppose we introduce a zero in the open loop transfer function at – 3, while keeping all the earlier open loop poles intact. Which one of the following is TRUE about the point where the root locus of the modified system transits to unstable region?