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Curiosity killed the cat but college killed curiosity.
Q.1 Consider a phase 'a' to ground fault , through an impedance Zf , in a power system as shown below. Sketch the interconnection of sequence networks to represent this fault.
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Q.2 Consider a single phase two-conductor transmission line with conductors x and y.Write expression for inductance of the conductors x and y and the total loop inductance.
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Q.3 An R-L circuit is switched-on to an AC supply as shown. Write an expression for the resulting current.
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Q.4 Consider the two-machine power system shown. Resistance has been neglected. Write expressions for real and reactive powers at the sending and receiving end.
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Q.5 Identify the konwns and unknowns in the load flow problem for various types of buses.
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Q.6 Distributed parameter model of a transmission line is shown. Derive expression for voltage and current at distance x from receiving end.
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Q.7 Write expressions for hyperbolic sines and cosines ( real and complex).
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Q.8 Write expression for A,B,C,D parameters of a transmission line.
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Q.9 Write expression for state-space to s-domain transfer function.
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Q.10 Various configurations of 3-phase transformers viz YY,YD , DY etc are shown. Sketch the zero sequence equivalent circuits for each of these.
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Q.11 Write the relationship between Nodes, Links and Branches in a graph.
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Q.12 Answer the questions regarding power transmission lines shown below.
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Q.13 Write expressions for propogation constant and characteristics impedance of a transmission line in terms of impedance and admittance per unit length of the line.
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Q.14 What is the relationship between original eigen values of a matrix as the matrix gets raised to a power or is transoposed? Also define trace and determinant of a matrix in terms of eigen values of the matrix.
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Q.15 Write the expression for the response of a second order control system to a unit step input.
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Q.16 Write the expression for Simpson's rule for numerical integration, and assumptions therein, if any.
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Q.17 Explain the difference between distortion power factor, displacement power factor and total power factor.
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Q.18 Sketch buck, boost and buck-boost topologies. Write expression for output and draw waveforms.
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Q.19 Sketch symmetrical component equivalent circuits for various short circuit and open circuit faults shown below.
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Q.20 Explain Newton's method for finding iterative numerical solution of f(x)=0
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Q.21 Write expression for dot product and cross product of two vectors.
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Q.22 Minimization of cost of generation when a number of generators are sharing the load ( assuming lossless system) is:-
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Q.23 Write the three dimensional wave equation for a vector field E.
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Q.24 State the effect of varuous symmetries in a waveform on the Fourier coefficients.
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Q.25 State the Trapezoidal rule of numerical integration.
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Q.26 Give the procedure for inverting a 2X2 matrix.
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Q.27 Waht is curl(divergence of a vector function) and divergence(curl of a vector function)
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Q.28 State the properties of Eigen values of Hermitian, Skew Hermitian and Unitary matrices.
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Q.29 Write Fourier series in exponential form.
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Q.30 Write Fourier series in trigonometric form.
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Q.31 State initial and final value theorems.
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Q.32 Write expression for Laplace transform of nth derivative of a function.
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Q.33 Write the following Laplace transforms.
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Q.34 State Coulomb's law.
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Q.35 State Lorentz force equation.
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Q.36 Write expression for complex power.
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Q.37 What is the conditions for a distortionless transmission line?
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Q.38 Write expressions for sending-end and receiving-end real and reactive powers for the two machine system shown below.
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Q.39 Write expression for SNR due to quantization.
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Q.40 Describe Mann and Morrison ( Sample and its derivative) algorithm.
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Q.41 Order of LP Butterworth filter to be used for anti-aliasing.
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Q.42 Maximum frequency that can be sampled with and wthout S/H circuit.
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Q.43 Interpretation of real and reactive power from instantaneous power in AC circuits.
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Q.44 Write down expression for N point DFT.
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Q.45 Write expressions for FIR and IIR filter in difference equation form.
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Q.46 Sketch topologies of FIR and IIR filters in their cannonical form.
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Q.47 Sampling function.
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Q.48 Write Mason's gain formula.
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Q.49 Gauss's laws for electricity and magentism.
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Q.50 State Faraday's law and Ampere's law as modified by Maaxwell.
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Q.51 Write one dimensional wave equation and its solution.
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Q.52 Write Maxwell's equations and Lorentz force equation.
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Q.53 State relation between E and B in an electromagnetic wave.
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Q.54 Definition of eigen values and eigen vectors.
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Q.55 Expression for left pseudo-inverse ( Moore-Penrose inverse).
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Q.56 Pin-out of op-amp 741.
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Q.57 Internal block-diagram of 555 timer.
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Q.58 Taylor's series. Taylor's series for e^x.
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Q.59 Parseval's theorem.
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Q.60 Perceptron.
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Q.61 OSI model of communications.
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Q.62 Three dimensional wave equation.
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Q.63 Convolution between two functions f1(t) and f2(t). Finding convolution usng inverse Laplace transform.
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Q.64 Harmonics on AC and DC side of a p-pulse converter, without any phase control.
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Q.65 Curl of a vector field.
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Q.66 Laplace transform.
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Q.67 Z-transform.
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Q.68 Directional realy.
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Q.69 Flash ADC.
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Q.70 Successive approximation ADC.
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Q.71 Successive approximation ADC.
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Q.72 Universal relay torque equation.
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Q.73 Cardinal sine or sinc() function.
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Q.74 Sigmoidal function.
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Q.75 Gaussian ( Normal) distribution.
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Q.76 Star-Delta , Delta-Star transformation.
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Q.77 Wien Bridge osillator.
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Q.78 Symmetrical components synthesis and analysis.
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Q.79 Delta-Star and Star-Delta transformation matrices.
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Q.80 Instrumentation amplifier using 3 Op-Amps.
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Q.81 'h' parameter model of BJT.
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Q.82 Propagation of errors.
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Q.83 Swing Equation.
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Q.84 Single supply op-amp audio amplifier.
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Q.85 Presision half-wave rectifier.
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Q.86 Voltage multiplier circuit.
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Q.87 Nose diagram of voltage (in)stability.
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Q.88 Relaxation oscillator using op-amp.
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Q.89 Cauchy's integral formula.
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Q.90 Sequence impedances of balanced 3-phase transmission line.
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Q.91 Generator loading capability diagram ( capability chart).
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Q.92 Sequence impedances of 3-phase generator.
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Q.93 Software defined radio (SDR).
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Q.94 Frequency synthesis using PLL.
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Q.95 Crystal , TRF, Regenerative and superhetrodyne radios.
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Q.96 Equal-area criterion.
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Q.97 Speed-torque characteristics of 3-phase induction machine.
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Q.98 The d-q-0 transformation.
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Q.99 3-phase bridge inverter in 180 degrees mode.
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Q.100 3-phase bridge inverter in 120 degrees mode.
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