E-882-4-E
11
7. CALCULATION FORMULAS
7.1 Implementation of Meter Error Correction (Total flow before correction)
Q1 = a
×
Ip
×
(1 + E/100)
×ε
t
where Q
1
: Total flow corrected for meter error
[
l
]
a: Meter factor
[
l/P
]
Ip: Number of input pulses
E: Meter error correction value
[
%
]
The line graph in Fig. 7.1 below shows how meter error curve linearization is achieved. E is approximate-
ly determined by the relationships between input pulse frequency and instrumental error correction value
set at multipoint error points which are programmable along the flowmeter,s instrumental error curve with
front-panel keys, and the frequency pulse information (flowrate) currently arriving from the flowmeter.
7.2 Implementation of Temperature/Pressure Correction (Corrected total flow)
Q
2
= Q
1
×
(P/P
0
)
×
(T
0
/T)
×Χ
where Q
2
: Total flow corrected for temperature and pressure
[
l (normal)
]
Χ
: (P
a
+
P
b
p
+
P
c
p
2
) (T
a
+
T
b
t
+
T
c
t
2
)
P: p
+
0.101325
[
MPa
・
abs
]
P
0
: p
0
+
0.101325
[
MPa
・
abs
]
T: t
+
273.15
[
K
]
T
0
: t
0
+
273.15
[
K
]
p: Line pressure
[
MPa
]
p
0
: Correction reference pressure
[
MPa
]
t: Line temperature
[℃]
t
0
: Correction reference temperature
[℃
]
Χ
is a correction factor as a quadratic factor of temperature and pressure. Constants Pa thru P
c
and T
a
thru T
c
can be set to any values with keys. Setting P
a
and T
c
to 1 while P
b
, P
c
, T
b
, T
c
to 0 results in 1 at
all times, permitting calculations according to the Boyle-Charles law. By selecting appropriate values for
these constants, you can achieve approximate error correction regarding the deviation of gas compress-
ibility factor, etc.
7.3 Instant Flowrate (Uncorrected)
Q
m
= a
×
f
×
(1 + E/100)
×ε
t
×
3600
where Q
m
: Instant flowrate corrected for meter error
[
l/h
]
f: Input pulse frequency
[
Hz
]
7.4 Instant Flowrate (Corrected)
Qmc = Qm
×
(P/P
0
)
×
(T
0
/T)
×Χ
where Q
mc
: Instant flowrate corrected for temperature and pressure
[
l/h (normal)
]
+
0
−
F
1
F
2
F
3
E
1
E
2
E
3
E
4
F
4
F
8
E
8
E
F
9
}
9
Fig. 7.1
M
et
er
e
rro
r
Flowrate
(frequency)
F
1
thru F
9
Frequency (Hz)
E
1
thru E
9
Meter error correction value (%) Programmable with keys
ε
t
: Meter,s correction factor relative to temperature
variation
ε
t
= 1 + 3
α
(t
−
20)
t = Operating temperature
[℃
]
3
α
= 4.8
×
10
−
5
(stainless steel)