Preliminary
6.2.3 Conversion series- parallel-replacement circuit diagram
The following formulas are helpful for the conversion of the two models:
where:
Cs
serial Capacitance [F]
Zs
serial Impedance [Ω]
Cp
parallel Capacitance [F]
Zp
parallel Impedance [Ω]
Rs
serial Resistance [Ω]
Xs
serial reactance [Ω]
Rp
parallel Resistance [Ω]
Xp
parallel reactance [Ω]
Z
Impedance [Ω]
ω
angular frequency [s
-1
] ω=2*π*f
90315-1.2 Instruction Manual CAPO
Page 29 of 117
Cs
=
Cp
∗(
1
+
tan
2
δ)
Cp
=
Cs
1
+
tan
2
δ
Cs
=
Rp
2
∗ω
2
∗
Cp
2
−
1
Rp
2
∗ω
2
∗
Cp
=
Cp
∗(
1
+
tan
2
δ)
Cp
=
√
Rp
−
Rs
Rs
∗
Rp
2
∗ω
2
=
Cs
1
+
tan
2
δ
Rs
=
|
Z
2
|
Rp
=
Rp
∗
Xp
2
Rp
2
+
Xp
2
=
Rp
Rp
2
∗ω
2
∗
Cp
2
+
1
=
Rp
∗
tan
2
δ
1
+
tan
2
δ
=
tan
δ
ω∗
Cs
Rp
=
|
Z
2
|
Rs
=
√
Xp
2
∗
Xs
Xp
−
Xs
=
1
ω∗
Cp
∗
tan
δ
=
Rs
∗(
1
+
tan
2
δ
tan
2
δ
)
Rp
∗
Rs
=
|
Z
2
|
Z
=
Xs
∗
√
1
+
tan
2
δ
Zp
=
Zs
=
Z
tan
δ
serial
=
tan
δ
parallel
=
1
ω∗
Rp
∗
Cp
= ω∗
Rs
∗
Cs
Содержание CAPO 2.5
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