Electrical Motor Controls for Integrated Systems
5th Edition
ISBN: 9780826912268
Author: Gary Rockis;Glen A. Mazur
Publisher: American Technical Publishers
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Chapter 5.3, Problem 5CP
To determine
To draw: The symbol for an AND logic chip with two inputs and one output.
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Show with the aid of a phasor diagram that for both
star- and delta-connected balanced loads, the total active
power is given by √3VI cos φ, where V and I are the
line values of voltage and current respectively and φ is
the angle between phase values of voltage and current.
A balanced three-phase load consists of three
coils, each of resistance 4 Ω and inductance 0.02 H.
Determine the total active power when the coils are (a)
star-connected, (b) delta-connected to a 400 V, three
phase, 50 Hz supply.
ANS:11.56 kW, 34.7 kW
The load connected to a three-phase supply comprises
three similar coils connected in star. The line currents
are 25 A and the apparent and active power inputs are
20 kVA and 11 kW respectively. Find the line and
phase voltages, reactive power input and the resistance
and reactance of each coil. If the coils are now con
nected in delta to the same three-phase supply, calculate
the line currents and the active power taken. ANS :
462 V, 267 V, 16.7 kvar, 5.87 Ω, 8.92 Ω; 75 A, 33 kW
Chapter 5 Solutions
Electrical Motor Controls for Integrated Systems
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- A three-phase delta-connected load, each phase of which has an inductive reactance of 40 Ω and a resistance of 25 Ω, is fed from the secondary of a three-phase star-connected transformer which has a phase voltage of 230 V. Draw the circuit diagram of the system and calculate: (a) the current in each phase of the load; (b) the p.d. across each phase of the load; (c) the current in the transformer secondary windings; the total active power taken from the supply and its power factor.arrow_forwardDerive the numerical relationship between the line and phase currents for a balanced three-phase delta connected load. Three coils are connected in delta to a three-phase, three-wire, 400 V, 50 Hz supply and take a line current of 5 A 0.8 power factor lagging. Calculate the resistance and inductance of the coils. If the coils are star-connected to the same supply, calculate the line current and the total power. Calculate the line cur rents if one coil becomes open-circuited when the coils are connected in star. Ans: 110.7 Ω, 0.264 H; 1.67 A, 926 W; 1.445 A, 1.445 A, 0arrow_forwardDerive, for both star- and delta-connected systems, an expression for the total power input for a balanced three-phase load in terms of line voltage, line current and power factor. The star-connected secondary of a transformer supplies a delta-connected motor taking a power of 90 kW at a lagging power factor of 0.9. If the volt age between lines is 600 V, calculate the current in the transformer winding and in the motor winding. Draw circuit and phasor diagrams, properly labelled, showing all voltages and currents in the transformer secondary and the motor. ANS: . 96.2 A, 55.6 Aarrow_forward
- Deduce the relationship between the phase and the line voltages of a three-phase star-connected generator. If the phase voltage of a three-phase star-connected generator is 200 V, what will be the line voltages: (a) when the phases are correctly connected; (b) when the connections to one of the phases are reversed? ans: 346 V; 346 V, 200 V, 200 Varrow_forwardQ2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) =G(k)+WH(k) k=0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences. (15 marks)arrow_forwardQ2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) = G(k)+WH(k) k = 0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences.arrow_forward
- Q1 .For the unity feedback control system shown below, discuss the stability using Bode Plotarrow_forwardQ4: Given a discrete data array x(n₁, n2) defined as: 31 x(n₁, n₂) = 1 1 2 2 11 2. (a) Compute the two-dimensional (2-D) DFT X(k₁, k₂), using row-column (RC) algorithm. (b) Repeat part (a) using vector-radix (VR) FFT algorithm.arrow_forwardDO NOT USE AI OR CHATGPT NEED HANDWRITTEN SOLUTIONarrow_forward
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Introduction to Logic Gates; Author: Computer Science;https://www.youtube.com/watch?v=fw-N9P38mi4;License: Standard youtube license