The phase voltage at the terminals of a balanced three-phase Y-connected load is 240020° V. The load has an impedance of 16 + j12 0/y and is fed from a line having an impedance of 0.10 + j0.80 N/4. The Y-connected source at the sending end of the line has a phase sequence of abc and an internal impedance of 0.02 + j0.16 0/p. Use the a-phase voltage at the load as the reference and calculate: (a) the line currents laa, IbB, and Icc. (b) the line voltages at the source Vab, Vbc, and Vca. (c) the internal phase-to-neutral voltages at the source Va'n, Vb'n, and Ven.

The phase voltage at the terminals of a balanced three-phase Y-connected load is 240020° V. The load has an impedance of 16 + j12 0/y and is fed from a line having an impedance of 0.10 + j0.80 N/4. The Y-connected source at the sending end of the line has a phase sequence of abc and an internal impedance of 0.02 + j0.16 0/p. Use the a-phase voltage at the load as the reference and calculate: (a) the line currents laa, IbB, and Icc. (b) the line voltages at the source Vab, Vbc, and Vca. (c) the internal phase-to-neutral voltages at the source Va'n, Vb'n, and Ven.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter5: Transmission Lines: Steady-state Operation

Section: Chapter Questions

Problem 5.7P

See similar textbooks

Similar questions

Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of (0.4j2.7) per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 2203V. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.
The phase voltage at the terminals of a balanced three-phase Yconnected load is 2400 V. The load has an impedance of 16 + j12 Ω/ϕ and is fed from a line having an impedance of 0.10 + j0.80 Ω/ϕ. The Yconnected source at the sending end of the line has a phase sequence of acb and an internal impedance of 0.02 + j0.16 Ω/ϕ. Use the a-phase voltage at the load as the reference and calculate (a) the line currents IaA, IbB, and IcC; (b) the line voltages at the source, Vab, Vbc, and Vca; and (c) the internal phase-to-neutral voltages at the source, Va ′n, Vb′n, and Vc′n.
The magnitude of the phase voltage of an ideal balanced threephase Y-connected source is 125 V. The source is connected to a balanced Y-connected load by a distribution line that has an impedance of 0.1+j0.8 Ω/ϕ. The load impedance is 19.9+j14.2 Ω/ϕ. The phase sequence of the source is acb. Use the a-phase voltage of the source as the reference. Specify the magnitude and phase angle of the following quantities: (a) the three line currents, (b) the three line voltages at the source, (c) the three phase voltages at the load, and (d) the three line voltages at the load.
A balanced delta connected load of "14+j19" 2- per phase is connected at the end of a three-phase line. The line impedance is "6+18j" 2- per phase. The line is supplied from a three-phase source with a line-to-line voltage of 207.85 Vrms. Taking phase "a" voltage Va as reference, determine the following: (a) Current in phase a. (b) Total complex power supplied from the source. (c) Magnitude of the line-to-line voltage at the load terminal.
1) A short three-phase transmission line has a per-phase series impedance of 0.53∠55.20Ω. The line supplies the three-phase load at the receiving end of 825 kW at 0.8 power factor lagging. If the line-to-line sending end voltage is 3.4 kV, using short line model determine: (a) the receiving-end line-to-line voltage in kV and determine percent voltage drop across the line; (b) the line current; (c) the sending-end power factor
1) A short three-phase transmission line has a per-phase series impedance of 0 . 53 ∠ 55 . 20 Ω. The line supplies the three-phase load at the receiving end of 825 kW at 0.8 power factor lagging. If the line-to-line sending end voltage is 3.4 kV, using short line model determine: (a) the receiving-end line-to-line voltage in kV and determine percent voltage drop across the line; (b) the line current; (c) the sending-end power factor
Can you please solve the d e f parts? Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an impedance of 400 + j300Ω / φ, load 2 is connected in with with an impedance of 2400 - j1800Ω / φ and load 3 is evaluated at 172.8 + j2203.2 kVA. Loads are supplied from a distribution line with an impedance of 2 + j16Ω / φ. Size of the voltage between the line and the neutral conductor at the end of the charge the line is 24√3 kV. The operating frequency is 50 Hz.(a) Calculate the line currents and the phase currents of the loads.(b) Calculate the total complex power at the receiving end of the system.(c) Calculate the total complex power at the transmitting end of the line.(d) Calculate the values of the compensation capacitors which are connected from the line to the neuron at the load end of the system so that the power factor at the load end reaches pf ≥ 0.98.(e) What if the capacitors are connected from one line to another? What would be the best…
Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ZL = (0:4 + j2:7) Ω per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage atthe load end of the line is 2; 200p3 V. Compute: a) The line-to-line voltage at the source end of the line.b) The total real and reactive power losses in the three-phase line.c) The total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phasecomplex power absorbed by the line and loads.
three wye connected load impedances Za=30 + j40 ohms, Zb=20-j15 ohms, Zc=20-j15 are connected to an abc-sequence, balanced three phase wye connected source with a line voltage of 400 V. A conductor of impedance j2 ohms is used to connect together neutral points of the source and the load. The line impedance per phase is j4 ohms. Calculate the load phase currents and voltage, and the voltage drop in the neutral wire
15) In a balanced three-phase Y-Y system, the source is an abc sequence of voltages and Van = 148∠8° Vrms. The line impedance per phase is 0.9 + j1.8Ω , while the per-phase impedance of the load is 6 + j18Ω . Calculate the magnitude of the voltage drop across the line impedance for phase-a (in Vrms).
The total apparent power supplied in a balanced, three-phase Y-Δ system is 4800 VA. The line voltage is 240 V. If the line impedance is negligible and the power factor angle of the load is −50∘, determine the impedance of A balanced three-phase load absorbs 96 kVA at a lagging power factor of 0.8 when the line voltage at the terminals of the load is 480 V.the load.
A lossy transmission line of length 5 m has a characteristic impedance of (20 + j15)ohm. When the line is short circuited, the input impedance is (30+j12)ohm. i) Determine the phase constan (ii) Find the input impedance when the short circuit is replaced by a load of ZL= (40+j30)ohm.