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Appendix 3 Power Basics (Power, harmonics, and AC RLC circuits)
App-20
Series RLC Circuits
The equation below expresses the voltage relationships when resistance R
inductance L [H], and capacitance C [F] are connected in series.
2
U =
(U
)
+ (U
– U
R
L
S
2
= I (R
)
+ (X
– X
S
L
U
I =
,
2
2
R
+ X
S
S
R
S
I
U
U
R
S
The relationship between resistance R
the equations below.
X
X
–
X
=
S
L
C
2
2
Z
R
+ X
=
S
S
Parallel RLC Circuits
The equation below expresses the current relationships when resistance R
inductance L [H], and capacitance C [F] are connected in parallel.
2
2
I=
(I
)
+ (I
–I
)
R
L
C
P
2
1
1
=
U
+
–
R
X
P
L
IR
X
P
P
U=
,
2
2
R
+ X
P
P
C
I
C
L
I
L
R
I
P
R
P
I
U
The relationship between resistance R
the equations below.
X
X
L
C
X
=
P
X
– X
C
L
R
X
P
P
Z =
2
2
R
+ X
P
P
2
2
)
=
(IR
)
+ (IX
– IX
C
S
L
2
2
2
)
= I R
+ X
C
S
S
X
S
–1
φ = tan
R
S
L
C
U
L
C
U
, reactance X
S
2
2
U
U
U
=
+
–
R
X
X
P
L
C
2
2
1
1
1
=
U
+
R
X
X
C
P
P
R
P
–1
φ = tan
X
P
I
U
L
I
I
I
R
C
P
φ
, reactance X
P
2
)
C
U
I
L
U
U
C
U
R
S
φ
, and impedance Z is expressed by
S
2
, and impedance Z is expressed by
P
[
],
Ω
S
[
],
Ω
P
IM 760201-01E
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