Quiz

image
Year 2025

January
Week # 2 Quiz 4

Q1. A transmission line has surge impedance of \(400 \Omega\), The sending end and receiving end voltage are \(V_s = V_r = 400 kV\). The line is compensated with a shunt capacitance of \(25\%\). The line is connected to a generator with delivering power of \(300 MW\). Find the load angle without and with compensation respectively.

Q2. Two insulator discs of identical capacitance value \(C\) make up a string for a \(22 kV, 50 Hz\), single phase overhead line insulation system. If pin to earth capacitance is also \(C\), then find the string efficiency.

Q3. The severity of line-to-ground and 3-phase faults at the terminals of an unloaded star connected synchronous generator is to be same. If the terminal voltage is 1 p.u. and \(X_1=X_2=j.035\) p.u., \(X_{g0}=j0.05\) p.u. for the alternator, then the required inductive reactance for neutral grounding is ________.

Q4. A Transmission line has a length of \(400 \: km\) long. The sending end voltage is \(V_s = 1 \: pu\), find the receiving end voltage \(V_r\) at no load.

Q5. If the inductance and capacitance of a system are 1 H and 0.01 μF respectively and the instantaneous value of the current interrupted is 10 A, the value of the shunt resistance across the breaker for critical damping is

Q6. A string insulator has \(5\) units. The string efficiency is \(75\%\). Find the voltage across the bottom most unit with reference to string voltage.

Q7. If \(n_1\) is the refractive index of the core, \(n_2\) is the refractive index of the cladding, \(\phi_i\) is the incidence angle and \(\phi_c\) is the critical angle, then for total internal reflection

Q8. A hydroelectric generating station is supplied from a reservoir with a capacity of \(5000000 \: cubic \: metres\) at a head of 200 metres and total energy available of \(2.044\times106\:kWh\) and water density \(=997\:kg/m^3\). Find out overall efficiency.

Q9. A string insulator has \(5\) units. The voltage across the bottom most unit is \(30\%\) of total voltage. Its string efficiency is

Q10. Consider a solar PV plant with the following specific conditions: Analysis period: 1 year Measured average solar irradiation intensity in 1 year: 150 kWh/\(m^2\) Generator area of the PV plant: 10 \(m^2\) Efficiency factor of the PV modules: 15% Electrical energy actually exported by plant to grid: 135 kWh Calculate the performance ratio.