Siemens Sitrans 사용자 설명서

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 SITRANS LC 500 – INSTRUCTION MANUAL
Page 91
mmm
mm
Appendix E
Applications Examples
Generic Application Calculations 
The capacitance expected in a cylindrical tank with a probe centrally mounted is 
estimated using the following formula: 
 (L in meters) or 
 (L in feet)
Examples (using dimensions above):
Capacitance in air:
Dimensions in meters:   
Dimensions in feet:        
Capacitance in oil:
If the same vessel is filled with oil, relative dielectric constant for oil  (2) replaces the 
relative dielectric constant for air (1), and the resulting calculation is: 
  (dimensions in meters)
or
  (dimensions in feet)
The initial capacitance value at 0% (probe in air) is 12.7 pF, and the capacitance value for 
100% (tank filled with oil) is 25.4 pF.
C
ε
24 L
×
Log D d
(
)
--------------------------pF
=
SITRANS LC 500
0.25 m (0.82’)
L = 0.95 m
     (3.12’)
D
 
= 1.0 m
        (3.28’)
d = 16 mm
     (0.05’)
Where: 
C  = capacitance value in pF
ε
 
r
= relative dielectric constant
L = active measurement length 
D  = internal tank diameter 
d = electrode diameter
24  = a K constant for dimensions in meters 
7.32= a K constant for dimensions in feet or inches
ε
 
r
= 1 (air)
ε
 
r  
= 2 (oil)
C
ε
7.32 L
×
Log D d
(
)
--------------------------pF
=
Cair
ε
air
24 0.95
×
Log 1 0.016
(
)
----------------------------------- pF
12.7pF
=
=
Cair
ε
air
7.32 0.82
×
Log 1 0.06
(
)
-------------------------------- pF
12.7pF
=
=
Coil
ε
oil
24 0.95
×
Log 1 0.016
(
)
----------------------------------- pF
25.4pF
=
=
Coil
ε
oil
7.32 3.12
×
Log 3.28 0.05
(
)
---------------------------------------- pF
25.4pF
=
=