Hioki IM7580, Instruction Manual

Page: 314 / 340

A
2
Measurement Parameters and Calculation Formula
The instrument uses following calculation formulas to calculate each item.
The phase angle
θ
is shown with impedance
Z
as reference. When measuring with the
admittance
Y
as reference, the sign of the phase angle
θ
of the impedance
Z
will be reversed.
Ls
,
Cs
,
Rs
: Indicates the measured values of
L
,
C
,
R
in series equivalent circuit mode.
Lp
,
Cp
,
Rp
: Indicates the measured values of
L
,
C
,
R
in parallel equivalent circuit mode.
Item Series equivalent circuit mode Parallel equivalent circuit mode
Z
2 2 X R Z + =
Y
( )
2 2 B G
Z
1
Y + = =
R
θ cos Z ESR R
S
= = 




=
=
G
1
cos Y
1
R
P
φ
X
θ
sin Z X =
-
G
-
φ
cos Y G =
B
-
φ
sin Y B =
L
ω
X
L
S
=
B
1
L
P
ω
− =
C
X
1
C
S
ω
− =
ω
B
C
P
=
D
θ
θ
sin
cos
D =
Q





=
=
D
1
cos
sin
Q
θ
θ
* φ : Phase angle ( φ = -
θ
) of admittance (
Y
)