Chapter 12, Problem 12RP

5.1 Determine the three zone settings for the relay Rab in the system shown in Figure 5.26. The system nominal voltage is 138 kV, and the positive sequence impedances for the various elements are given in the figure. The transformer impedance is given in ohms as viewed from the 138 kV side. Assume that the maximum load at the relay site is 120 MVA, and select a CT ratio accordingly. The available distance relay has zone 1 and zone 2 settings from 0.2 to 10 2, and zone 3 settings from 0.5 to 40 2, in increments of 0.1 2. The angle of maximum torque can be adjusted to 75° or 80°. Remember that the zone 3 of the relay must back up the line BC, as well as the transformer. A Rab (3+j40) B (2+ j50) (0+j9) с Fu D Figure 5.26 System for problem 5.1

Please solve question 4.7 in detail and thank you

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E2.1 A single input neuron has a weight of 1.3 and a bias of 3.0. What possible kinds of transfer functions, from Table 2.1, could this neuron have, if its output is given below. In each case, give the value of the input that would produce these outputs. i. 1.6 ii. 1.0 iii. 0.9963 iv. -1.0

Q2. The slew rate of an amplifier can cause signal distortion at its output if wrongly chosen. State the criterion for selecting the slew rate of an amplifier to avoid signal distortion. A step signal of 5 mV is applied to an inverting amplifier shown in Figure 2, which has a slew rate of 0.05 V/us. Estimate the time required for the output voltage of the amplifier to reach within 10% of its final value. If the input to Figure 2 is a sinusoidal signal of 0.02 sin(2πft) V, determine the maximum frequency that can be applied to the circuit without causing signal distortion due to the limitation of its slew rate (0.05 V/µs). In order to minimise the output offset voltage of Figure 2, a compensating resistor should be added to Figure 2. Draw a modified circuit diagram that includes the compensating resistor. Determine the appropriate value for the compensating resistor. V₁ 2 ΚΩ 100 ΚΩ +

Q3) A single-phase semiconverter, shown in Fig.(3), is used to control the speed of small separately excited d.c. motor rated at 4.5 kW, 220V, 1500 rpm. The converter is connected to a single phase 230 V, 50 Hz supply. The armature resistance is Ra = 0.50 ohm and the armature circuit inductance is La 10 mH. The motor voltage constant is Ke D = 0.1 V/rpm. With the converter operates as a rectifier, the d.c. motor runs at 1200 rpm and carries an armature current of 16 A Assume that the motor current is continuous and ripple-free == (a) Draw and drive an equation for output voltage of semiconverter (b) The firing angle a. (c) The power delivered to the motor. (d) The supply power factor. R₂ FWD Thi Th₂ D. D FWD ep Fig.(3) Da ecte