In Figure 1, the 3-phase source has a line-to-line voltage of 440 volts. The details of the impedances are the following: Z₁ = 36-j15; Z₂ = 40 + /300 Z=45+j600; Z4 = 75+ j0; Z5 = 50+ j50 ; Z6 = 20 + j48 2. Determine the following: (a) Line currents: labi, and lei; (b) Line currents: Iaz, Ibz, and Iczi (c) Line currents: lar, Ibr. and ICT; (d) PT, QT, ST, and pfr for the system; (e) W, and W, readings for 2-wattmeter method at lines a and b. Balanced 3-Phase ab-bc-ca source b. CH Figure 1 -1₂T -ICT lal Z2 123 TI Ibi 1 Ici →la2 162 →lc2 26
In Figure 1, the 3-phase source has a line-to-line voltage of 440 volts. The details of the impedances are the following: Z₁ = 36-j15; Z₂ = 40 + /300 Z=45+j600; Z4 = 75+ j0; Z5 = 50+ j50 ; Z6 = 20 + j48 2. Determine the following: (a) Line currents: labi, and lei; (b) Line currents: Iaz, Ibz, and Iczi (c) Line currents: lar, Ibr. and ICT; (d) PT, QT, ST, and pfr for the system; (e) W, and W, readings for 2-wattmeter method at lines a and b. Balanced 3-Phase ab-bc-ca source b. CH Figure 1 -1₂T -ICT lal Z2 123 TI Ibi 1 Ici →la2 162 →lc2 26
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:In Figure 1, the 3-phase source has a line-to-line voltage of 440 volts. The details of the impedances are the following:
- \( Z_1 = 36 - j15 \, \Omega \)
- \( Z_2 = 40 + j30 \, \Omega \)
- \( Z_3 = 45 + j60 \, \Omega \)
- \( Z_4 = 75 + j0 \, \Omega \)
- \( Z_5 = 50 + j50 \, \Omega \)
- \( Z_6 = 20 + j48 \, \Omega \)
Determine the following:
(a) Line currents: \( I_{a1}, I_{b1}, \) and \( I_{c1} \);
(b) Line currents: \( I_{a2}, I_{b2}, \) and \( I_{c2} \);
(c) Line currents: \( I_{aT}, I_{bT}, \) and \( I_{cT} \);
(d) \( P_T, Q_T, S_T, \) and \( pf_T \) for the system;
(e) \( W_1 \) and \( W_2 \) readings for 2-wattmeter method at lines \( a \) and \( b \).
**Diagram Explanation:**
- The figure represents a balanced 3-phase \( ab-bc-ca \) source.
- The diagram shows three sets of line currents \( I_{aT}, I_{bT}, \) and \( I_{cT} \) flowing from the source to the loads.
- There are branches for each phase labeled with currents \( I_{a1}, I_{b1}, \) and \( I_{c1} \) for the first part and \( I_{a2}, I_{b2}, \) and \( I_{c2} \) for the second part.
- Impedances \( Z_1, Z_2, Z_3 \) form a delta configuration, while \( Z_4, Z_5, \) and \( Z_6 \) seem to be connected in a different configuration at the load side.
- The current directions are indicated by arrows on the lines.
This setup is typically analyzed using methods for solving balanced 3-phase circuits to find the line currents, powers, and measurements using a two
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