A balanced delta connected load takes a line current of 15 A when connected to a balanced three phase 400 V system. A wattmeter with its current coil in one line and its potential coil between the two remaining lines read 2000 W. Determine the load impedance.
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phase system is R-Y-B. The direction of rotation of the three phasemachines depends on the phase sequence.
Line voltage –
It is the voltage at any instant between two lines. Between R and Y line we have V
RY.
Phase voltage –
It is the voltage of individual phases with respect to neutral. We have V
R,
V
Y,
V
B.
Line current –
It is the Phase current in any phase. We have I
R,
I
Y,
I
B
Phase current –
It is the current in individual phases. We have i
R,
i
Y,
i
B
Balanced system –
a three phase system is said to be balanced if
(a)
The voltages and current in the three phase are equal in magnitude and differ in phase from one another by 120
0
.
(b)
The all loads connected across the three phase have same magnitude and power factor (identical).
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Q
= Total reactive power
S
= Total apparent power
KEY DEFINITIONS:
Single Phase System
– It is a system which generates single alternating voltage and current.It uses only one winding.
Phase sequence or phase order –
The sequence in which the voltage in the three phases reaches maximum positive value. Phase sequence of three phase system is R-Y-B. The direction of rotation of the three phasemachines depends on the phase sequence.
Line voltage –
It is the voltage at any instant between two lines. Between R and Y line we have V
RY.
Phase voltage –
It is the voltage of individual phases with respect to neutral. We have V
R,
V
Y,
V
B.
Line current –
It is the Phase current in any phase. We have I
R,
I
Y,
I
B
Phase current –
It is the current in individual phases. We have i
R,
i
Y,
i
B
Balanced system –
a three phase system is said to be balanced if
(a)
The voltages and current in the three phase are equal in magnitude and differ in phase from one another by 120
0
.
(b)
The all loads connected across the three phase have same magnitude and power factor (identical).
(c)
Star connection (wye connection)
– It is obtained by connecting similar terminals (start or finish) of the three windings together. This common point is called as neutral point. The remaining three ends of the windings are brought out for the external connection.
Delta connection (mesh connection)
– It is obtained by connecting one end of the winding to the startingend of the other winding such that it produces a closed loop.
LEARNING RESOURCES:
1. B.L. Thareja, Volume-I,Basic Electrical Engineering.2. R.G. Karandikar, Basic Electricity and Electronics – II
68
Zagdu Singh Charitable Trust’s (Regd.)
Thakur College of Engineering & Technology
(Approved by AICTE, Govt. of Maharashtra & Affiliated to University of Mumbai)
ISO 9001 : 2000 Certified

IMPORTANT RELATIONS:
1.Voltage, current and power relations in balanced star connected load:
V
L
=
√
3V
ph
I
L
= I
ph
Reactive power Q = 3V
ph
I
ph
sin ǿ
2. Voltage, cyrrent and power relation in balanced delta connected load:
V
L
= V
ph
I
L
= √3 I
ph
P = 3V
ph
I
ph
cos ǿS = 3V
ph
I
ph
= √3 V
Line voltage –
It is the voltage at any instant between two lines. Between R and Y line we have V
RY.
Phase voltage –
It is the voltage of individual phases with respect to neutral. We have V
R,
V
Y,
V
B.
Line current –
It is the Phase current in any phase. We have I
R,
I
Y,
I
B
Phase current –
It is the current in individual phases. We have i
R,
i
Y,
i
B
Balanced system –
a three phase system is said to be balanced if
(a)
The voltages and current in the three phase are equal in magnitude and differ in phase from one another by 120
0
.
(b)
The all loads connected across the three phase have same magnitude and power factor (identical).
Download
Save
3.Three Ph. Circuits P - Copy
For Later
Save
Related
Info
Search
3.Three Ph. Circuits p - Copy
Uploaded by archanabelge1
Q
= Total reactive power
S
= Total apparent power
KEY DEFINITIONS:
Single Phase System
– It is a system which generates single alternating voltage and current.It uses only one winding.
Phase sequence or phase order –
The sequence in which the voltage in the three phases reaches maximum positive value. Phase sequence of three phase system is R-Y-B. The direction of rotation of the three phasemachines depends on the phase sequence.
Line voltage –
It is the voltage at any instant between two lines. Between R and Y line we have V
RY.
Phase voltage –
It is the voltage of individual phases with respect to neutral. We have V
R,
V
Y,
V
B.
Line current –
It is the Phase current in any phase. We have I
R,
I
Y,
I
B
Phase current –
It is the current in individual phases. We have i
R,
i
Y,
i
B
Balanced system –
a three phase system is said to be balanced if
(a)
The voltages and current in the three phase are equal in magnitude and differ in phase from one another by 120
0
.
(b)
The all loads connected across the three phase have same magnitude and power factor (identical).
(c)
Star connection (wye connection)
– It is obtained by connecting similar terminals (start or finish) of the three windings together. This common point is called as neutral point. The remaining three ends of the windings are brought out for the external connection.
Delta connection (mesh connection)
– It is obtained by connecting one end of the winding to the startingend of the other winding such that it produces a closed loop.
LEARNING RESOURCES:
1. B.L. Thareja, Volume-I,Basic Electrical Engineering.2. R.G. Karandikar, Basic Electricity and Electronics – II
68
Zagdu Singh Charitable Trust’s (Regd.)
Thakur College of Engineering & Technology
(Approved by AICTE, Govt. of Maharashtra & Affiliated to University of Mumbai)
ISO 9001 : 2000 Certified

IMPORTANT RELATIONS:
1.Voltage, current and power relations in balanced star connected load:
V
L
=
√
3V
ph
I
L
= I
ph
Reactive power Q = 3V
ph
I
ph
sin ǿ
2. Voltage, cyrrent and power relation in balanced delta connected load:
V
L
= V
ph
I
L
= √3 I
ph
P = 3V
ph
I
ph
cos ǿS = 3V
ph
I
ph
= √3 V
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