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k0
1
..
:=
E
CA
E
an
e
j
θ
⋅
⋅
E
cn
e
j
θ
⋅
⋅
:=
E
BC
E
bn
e
j
θ
⋅
⋅
E
cn
e
j
θ
⋅
⋅
:=
E
AB
E
bn
e
j
θ
⋅
⋅
E
an
e
j
θ
⋅
⋅
:=
E
CN
10
3
−
volt
⋅
E
cn
e
j
θ
⋅
⋅
:=
E
BN
10
3
−
volt
⋅
E
bn
e
j
θ
⋅
⋅
:=
E
AN
10
3
−
volt
⋅
E
an
e
j
θ
⋅
⋅
:=
θ
0 deg
⋅
5 deg
⋅
FRAME
⋅
+
:=
arg E
LL
()
30
90
−
150
deg
=
E
LL
E
ab
E
bc
E
ca
:=
arg E
ph
0
120
−
120
deg
=
E
ph
E
an
E
bn
E
cn
:=
1
2
1
2
+
21
⋅
1
⋅
cos 120 deg
⋅
⋅
−
3
=
Law of Cosines applied to calculate line to line voltages:
http://hyperphysics.phyastr.gsu.edu/hbase/lcos.html
Law of Cosines:
The LineLine Voltages in 3Phase Systems are
3
larger than the line to Neutral Voltages
Confirms Eq. 2.5.6., Page 59, Glover, Sarma, Overbye, 4
th
ed.
arg E
ab
30 deg
=
E
ab
207.85 V
=
E
ca
E
cn
E
an
−
:=
E
bc
E
bn
E
cn
−
:=
E
ab
E
an
E
bn
−
:=
E
cn
120 volt
⋅
e
j 120
⋅
deg
⋅
⋅
:=
E
bn
120 volt
⋅
e
j
−
120
⋅
deg
⋅
⋅
:=
E
an
120 volt
⋅
e
j0
⋅
deg
⋅
⋅
:=
Dr. M. Giesselmann, Jan 18, 2008
Setting up 3Phase Phasor diagram and demonstrating Animations:
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This note was uploaded on 04/21/2008 for the course EE 4343 taught by Professor Giesselmann during the Spring '08 term at Texas Tech.
 Spring '08
 GIESSELMANN
 Volt

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