2
Accuracy of Cp and Cs
Accuracy Ae [%], which is the base of the accuracy
of Cp and Cs (Cpe and Cse [%]), is calculated as
follows:
Equation 1: Equation to calculate Ae
Ae = [A + B + KL3β+ l00 3 E 3 (2 3π3f 3 Cx)] 3 K
T
Where:
β = Cr/Cx when Cr ≤ 100 µF (@120 Hz) or
Cr ≤ 10 µF (@1 kHz)
β = Cr/Cx + Cx/Cr when Cr = l mF (@120 Hz) or
Cr = 100 µF (@1 kHz) (n.b., if β <1, β =1)
Cx: Measurement value of Cp or Cs
Cr: Measurement range (1 nF, 10 nF, 100 nF, 1 µF,
10 µF, 100 µF, 1 mF)
f: Measurement frequency
A: Proportional error term
(values are shown in Table 3)
B: Offset error term
(values are shown in Table 3)
KL: Coefficient for measurement signal level
(values are shown in Table 1)
E: Residual when shorted, the value is E = 600 µΩ
(fixed)
KT: Coefficient for ambient temperature
(values are shown in Table 2)
Table 1. Coefficient caused by measurement signal level, KL
Measurement signal level, Level [V] K
L
0.1 to 0.3 0.3/Level
0.31 to 0.5 0.5/Level
0.51 to 1.0 1.0/Level
Table 2. Coefficient caused by ambient temperature, KT
Ambient temperature T [°C] K
T
0 ≤ T < 18 3
18 ≤ T ≤ 28 1
28 < T ≤ 55 3
Table 3. Proportional term A and offset term B
Cr (measurement 120 Hz 1 kHz
range) SHORT MED LONG SHORT MED LONG
1 nF A — — — 0.18 0.14 0.14
B — — — 0.062 0.052 0.049
10 nF A 0.28 0.14 0.14 0.18 0.14 0.14
B 0.1 0.054 0.05 0.041 0.036 0.035
100 nF A 0.28 0.14 0.14 0.18 0.14 0.14
B 0.077 0.037 0.035 0.041 0.036 0.035
1 µF A 0.28 0.16 0.16 0.18 0.14 0.14
B 0.077 0.037 0.035 0.041 0.036 0.035
10 µF A 0.28 0.16 0.16 0.18 0.14 0.14
B 0.077 0.037 0.035 0.041 0.036 0.035
100 µF A 0.4 0.4 0.4 0.4 0.4 0.4
B 0.077 0.037 0.035 0.066 0.049 0.044
1 mF A 0.8 0.8 0.8 — — —
B 0.106 0.052 0.045 — — —
Cpe and Cse [%] are derived from the calculated
accuracy Ae [%], using the equation “Cpe = Cse =
±Ae [%].” Note that if the measured D value, Dx,
exceeds 0.1, multiply Cpe and Cse by (1 + Dx2).
NOTE: If the secondary parameter is not D,
calculate D using the equation in Table 4.
Table 4. Calculating D
Measurement parameter Equation to calculate D
Cp-Q, CS-Q D = 1/Qx
Cp-G D = Gx/(2 3π3f 3 Cpx)
Cp-Rp D = 1/(2 3π3f 3 Cpx 3 Rpx)
Cs-Rs D = 2 3π3f 3 Csx 3 Rsx
In Table 4, Cpx, Qx, Gx, Rpx, Csx, and Rsx are
measured values, and f is the measurement
frequency.