l29 3 ph-ac

6
THREE PHASE CIRCUIT ANALYSIS: Unbalanced loads

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Page 1: L29 3 ph-ac

THREE PHASE CIRCUIT ANALYSIS:Unbalanced loads

Page 2: L29 3 ph-ac

ELE101/102 Dept of E&E,MIT Manipal 2

Unbalanced delta connected load

240

;120

; 0

phBR

phYB

phRY

VV

VV

VV

BR

BRBR

YB

YBYB

RY

RYRY Z

VI;

Z

VI;

Z

VI

YBBRBRYYBYBRRYR III ;III ;III

BRBRBR

YBYBYB

RYRYRY

ZZ

ZZ

ZZ

ˆ

ˆ

ˆ

Page 3: L29 3 ph-ac

ELE101/102 Dept of E&E,MIT Manipal 3

Unbalanced 4 wire star connected load

BBB

YYY

RRR

ZZ

ZZ

ZZ

The line voltages are symmetrical and balanced

ON

R

Y

B

RNV

YNVBNV

BIYI

RI

ROV RZ

yZBZ

B

BNB

Y

YNY

R

RNR Z

VI;

Z

VI;

Z

VI

BYRN IIII

Neutral current

Page 4: L29 3 ph-ac

ELE101/102 Dept of E&E,MIT Manipal 4

Unbalanced 3 wire star connected load

BBB

YYY

RRR

ZZ

ZZ

ZZ

240

;120

; 0

phBN

phYN

phRN

VV

VV

VV

The line voltages are symmetrical and balanced

ON

R

Y

B

RNV

YNVBNV

BIYI

RI

ROV RZ

yZBZ

Page 5: L29 3 ph-ac

ELE101/102 Dept of E&E,MIT Manipal 5

Method (1) Conversion of star connected load to delta

AZ

BZCZ

ABZ

BCZ

CAZ

B

ACACCA

A

CBCBBC

C

BABAAB

Z

ZZZZZ

Z

ZZZZZ

Z

ZZZZZ

.

.

.

Application of analysis of unbalanced delta connected load

Page 6: L29 3 ph-ac

ELE101/102 Dept of E&E,MIT Manipal 6

Illustration:

4510Z 3012Z 012Z CBA

120VV , 0VV ,120VV LCALBCLAB

are connected in star across a 3Φ, 3 wire, 416 volt supply system, the voltages being

Three impedances

Find line currents IA, IB and IC by star delta transformation method

A84.235.15IB

A5.6326A21.11646.26IC

;A993.23IA

Ans: