Q1 (a) A balanced delta connected load of (10 + j3)N is connected to a 3-phase, 415V,50HZ supply. Draw the circuit diagram, indicating VRN, VRY and all line currents, and from this calculate: (i) (ii) (iii) The 3 load phase currents (IRY, IYB and IBR). The 3 line currents (IR, IY and IB). The total real power and power factor at the 3 phase supply.

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.52P: A balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated...
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Q1 (a) A balanced delta connected load of (10 + j3)N is connected to a 3-phase,
415V,50HZ supply.
Draw the circuit diagram, indicating VRN, VRY and all line currents, and
from this calculate:
(i)
(ii)
(iii)
The 3 load phase currents (IRY, IYB and IBr).
The 3 line currents (IR, Iy and Is).
The total real power and power factor at the 3 phase supply.
(b) An unbalanced 4 wire star connected load consisting of the phase
impedances Zrs (15+j5)N, Zys (10+j0)N and ZBs (18-j6)N is connected to a
3-phase, 440V, 50HZ supply. Draw the circuit diagram including the
implementation of a 2 wattmeter power measurement and from this:
(i)
(ii)
Calculate the 3 line currents (IR, Iy and IB).
Construct a scaled phasor diagram and using this or otherwise
determine the star/neutral current ISN. Include VRY and VrB on
the phasor diagram.
Calculate the necessary wire diameter for the star/neutral
connection to achieve a current density of 3A/mm?.
(iii)
(c) Determine the total real supply power (W) for Q1(b) based on the 2
wattmeter measurements.
Transcribed Image Text:Q1 (a) A balanced delta connected load of (10 + j3)N is connected to a 3-phase, 415V,50HZ supply. Draw the circuit diagram, indicating VRN, VRY and all line currents, and from this calculate: (i) (ii) (iii) The 3 load phase currents (IRY, IYB and IBr). The 3 line currents (IR, Iy and Is). The total real power and power factor at the 3 phase supply. (b) An unbalanced 4 wire star connected load consisting of the phase impedances Zrs (15+j5)N, Zys (10+j0)N and ZBs (18-j6)N is connected to a 3-phase, 440V, 50HZ supply. Draw the circuit diagram including the implementation of a 2 wattmeter power measurement and from this: (i) (ii) Calculate the 3 line currents (IR, Iy and IB). Construct a scaled phasor diagram and using this or otherwise determine the star/neutral current ISN. Include VRY and VrB on the phasor diagram. Calculate the necessary wire diameter for the star/neutral connection to achieve a current density of 3A/mm?. (iii) (c) Determine the total real supply power (W) for Q1(b) based on the 2 wattmeter measurements.
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