
- 4 -
II. Measuring Principle Introduction
Impedance parameter introduction
䎷䏋䏈䎃 䏌䏐䏓䏈䏇䏄䏑䏆䏈䎃 䏆䏒䏑䏖䏌䏖䏗䏖䎃 䏒䏉䎃 䏕䏈䏖䏌䏖䏗䏄䏑䏆䏈䎃 䎋䏕䏈䏄䏏䎃 䏓䏄䏕䏗䎌䎃 䏄䏑䏇䎃 䏕䏈䏄䏆䏗䏄䏑䏆䏈䎃
䎋䏌䏐䏄䏊䏌䏑䏄䏕䏜䎃 䏓䏄䏕䏗䎌䎑䎃 䎩䏒䏕䎃 䏈䏛䏄䏐䏓䏏䏈䎏䎃 䎽䏖䎃 䏕䏈䏓䏕䏈䏖䏈䏑䏗䏖䎃 䏗䏋䏈䎃 䏌䏐䏓䏈䏇䏄䏑䏆䏈䎃 䏌䏑䎃
䏖䏈䏕䏌䏈䏖䎃䏐䏒䏇䏈䎑䎃䎽䏖䎃䏆䏄䏑䎃䏅䏈䎃䏇䏈䏉䏌䏑䏈䏇䎃䏄䎃䏆䏒䏐䏅䏌䏑䏄䏗䏌䏒䏑䎃䏒䏉䎃䏕䏈䏖䏌䏖䏗䏄䏑䏆䏈䎃䎵䏖䎃䏄䏑䏇䎃
䏕䏈䏄䏆䏗䏄䏑䏆䏈䎃䎻䏖䎑䎃䎬䏗䎃䏄䏏䏖䏒䎃䏆䏒䏘䏏䏇䎃䏅䏈䎃䏇䏈䏉䏌䏑䏈䏇䎃䏄䏖䎃䏄䎃䏟䎽䏟䎃䎋䏟䎽䏟䎃䎠䎃 䎵䏖䎕䎃䎎䎃䎻䏖䎕䎃 䎌䎃
䏒䏉䎃䏐䏄䏊䏑䏌䏗䏘䏇䏈䎃䏚䏌䏗䏋䎃䏄䎃䏓䏋䏄䏖䏈䎃䏄䏑䏊䏏䏈䎃䕠䎑䎃
Zs = Rs + jXs or |Zs|
И
ș
Rs = |Zs| cos
ș
Xs = |Zs| sin
ș
Xs/Rs = tan
ș
ș
= tan-1(Xs/Rs)
- 5 -
If
ș
> 0, the reactance is inductive. In other words, if
ș
< 0, the
reactance is capacitive.
There are two types for reactance. The one is the inductive
reactance XL and the other is the capacitive reactance XC.
䎃
䎷䏋䏈䏜䎃䏆䏒䏘䏏䏇䎃䏅䏈䎃䏇䏈䏉䏌䏑䏈䏇䎃䏄䏖䎝䎃 䎃
䎋
䏉䎃䎠䎃䏖䏌䏊䏑䏄䏏䎃䏉䏕䏈䏔䏘䏈䏑䏆䏜䎌䎃 䎃
XL = 2
ʌ
f L
䎃 䎃 䎃 䎃 䎃 䎋䎯䎃䎠䎃䎬䏑䏇䏘䏆䏗䏄䏑䏆䏈䎌䎃 䎃
XC =1/ (2
ʌ
f C)
䎃 䎃 䎋䎦䎃䎠䎃䎦䏄䏓䏄䏆䏌䏗䏄䏑䏆䏈䎌䎃 䎃
Measurement mode
The impedance could be measured in series or parallel
mode. The impedance
Z
in parallel mode could be represented
as reciprocal of admittance
Y
. The admittance could be defined
as Y = G + jB. The G is the conductance and the B is the
susceptance.
䎃
Rs: Resistance in series mode
Xs: Reactance in series mode
Cs: Capacitance in series mode
Ls: Inductance in series mode
Rp: Resistance in parallel mode
Xp: Reactance in parallel mode
Cp: Capacitance in parallel mode
Lp: Inductance in parallel mode
Y = 1/Z = 1/Rp + 1/jXp = G+jB