YOKOGAWA wt3000 - Page 355

App-23
IM 760301-01E
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App
App
Index
Appendix
• Series RLC Circuit
The equation below expresses the voltage relationship when resistance R
S
[Ω],
inductance L [H], and capacitance C [F] are connected in series.
U = (U RS )
2
+ (U L – U C )
2
= (IR S )
2
+ (IX L – IX C )
2
= I(R S )
2
+ (X L – X C )
2
= IR S
2
+ X S
2
I =
U
R
S
2
+ X S
2
, φ = tan
–1
X S
R S
R S
I
U RS
I
L
U L
C
U C
U
U
C
U L
U
U
RS
φ
The relationship between resistance R
S
, reactance X
S
, and impedance Z is expressed
as follows:
Z = R S
2
+ X S
2
X S = X L – X C
• Parallel RLC Circuit
The equation below expresses the current relationship when resistance R
P
[Ω],
inductance L [H], and capacitance C [F] are connected in parallel.
I= (IRP)
2
+ (IL – IC)
2
=
U
=
IRPXP
RP
2
+ XP
2
, φ = tan
–1
RP
XP
RP
U
2
+
X
L
U
–
X
C
U
2
=
R
P
1
2
+
X
L
1
–
X
C
1
2
U =
R
P
1
2
+
X
P
1
2
U
R P
L
C
I
I
RP
I L
I C
U
U
I
C
I L
I
I
RP
φ
The relationship between resistance R
P
, reactance X
P
, and impedance Z is expressed
as follows:
Z
=
RPXP
RP
2
+ XP
2
XP =
X
LXC
XC – XL
Appendix 4 Power Basics (Power, Harmonics, and RLC of AC Circuits)