Fluke 522A/6, Operator'S Manual

Page: 40 / 426

5522A
Operators Manual
1-20
Phase
1-Year Absolute Uncertainty, tcal
±
5
°
C, (
Δ Φ °
)
10 to
65 Hz
65 to
500 Hz
500 Hz to
1 kHz
1 to
5 kHz
5 to
10 kHz
10 to
30 kHz
0.10
°
0.25
°
0.5
°
2.5
°
5
°
10
°
Note
See Power and Dual Output Limit Specifications for applicable outputs.
Power Uncertainty Adder due to Phase Error
Phase (
Φ
)
Watts
Phase (
Φ
)
VARs
PF
10 to
65 Hz
65 to
500 Hz
500 Hz to
1 kHz
1 to
5 kHz
5 to
10 kHz
10 to
30 kHz
0
°
90
°
1.000 0.00 % 0.00 % 0.00 % 0.10 % 0.38 % 1.52 %
10
°
80
°
0.985 0.03 % 0.08 % 0.16 % 0.86 % 1.92 % 4.58 %
20
°
70
° 0.940 0.06 % 0.16 % 0.32 % 1.68 % 3.55 % 7.84 %
30
°
60
° 0.866 0.10 % 0.25 % 0.51 % 2.61 % 5.41 % 11.54 %
40
°
50
° 0.766 0.15 % 0.37 % 0.74 % 3.76 % 7.69 % 16.09 %
50
°
40
°
0.643 0.21 % 0.52 % 1.04 % 5.29 % 10.77 % 22.21 %
60
°
30
°
0.500 0.30 % 0.76 % 1.52 % 7.65 % 15.48 % 31.60 %
70
°
20
° 0.342 0.48 % 1.20 % 2.40 % 12.08 % 24.33 % 49.23 %
80
°
10
° 0.174 0.99 % 2.48 % 4.95 % 24.83 % 49.81 % 100.00 %
90
°
0
° 0.000 –– –– –– –– –– ––
To calculate exact ac Watts power adders due to phase uncertainty for values not shown, use the following formula:
( )
( )
Adder
Cos
Cos
% (
( )
= −
+
100 1
Φ ΔΦ
Φ
)
For example: for a PF of .9205 (
Φ
= 23) and a phase uncertainty of
ΔΦ
= 0.15, the ac Watts power adder is:
( )
( )
Adder
Cos
Cos
% (
(23 )
= −
+
=
100 1
15
23
0 11%
.
) .
Calculating Power Uncertainty
Overall uncertainty for power output in Watts (or VARs) is based on the root sum square (rss) of the individual
uncertainties in percent for the selected voltage, current, and power factor parameters:
Watts uncertainty
PFadder
2
current
2
voltage
2
power
U U U U
+ + =
VARs uncertainty
VARsadder
2
current
2
voltage
2
VARs
U U U U
+ + =
Because there are an infinite number of combinations, you should calculate the actual ac power uncertainty for your
selected parameters. The method of calculation is best shown in the following examples (using 1 year specifications):
Example 1 Output: 100 V, 1 A, 60 Hz, Power Factor = 1.0 (
Φ
=0).
Voltage Uncertainty Uncertainty for 100 V at 60 Hz is 150 ppm + 2 mV, totaling:
100 V x 190 x 10
-6
= 15 mV added to 2 mV = 17 mV. Expressed in percent:
17 mV/100 V x 100 = 0.017 % (see “AC Voltage (Sine Wave) Specifications”).
Current Uncertainty Uncertainty for 1 A is 0.05 %  100
μ
A, totaling:
1 A x 0.0005 = 500
μ
A added to 100
μ
A = 0.6 mA. Expressed in percent:
0. 6 mA/1 A x 100 = 0.06 % (see “AC Current (Sine Waves) Specifications”).
PF Adder Watts Adder for PF = 1 (
Φ
=0) at 60 Hz is 0 % (see “Phase Specifications”).
Total Watts Output Uncertainty =
% 062 . 0 0 06 . 0 017 . 0
2 2
= + + =
2
power
U
Example 2 Output: 100 V, 1 A, 400 Hz, Power Factor = 0.5 (
Φ
=60)
Voltage Uncertainty Uncertainty for 100 V at 400 Hz is, 150 ppm + 2 mV, totaling:
100 V x 190 x 10
-6
= 15 mV added to 2 mV = 17 mV. Expressed in percent:
17 mV/100V x 100 = 0.017 % (see “AC Voltage (Sine Wave) Specifications”).
Current Uncertainty Uncertainty for 1 A is 0.05 %  100
μ
A, totaling:
1 A x 0.0005 = 500
μ
A added to 100
μ
A = 0.6 mA. Expressed in percent:
0.6 mA/1A x 100 = 0.06 % (see “AC Current (Sine Waves) Specifications”).
PF Adder Watts Adder for PF = 0.5 (
Φ
=60) at 400 Hz is 0.76 % (see “Phase Specifications”).
Total Watts Output Uncertainty =
% 76 . 0 76 . 0 06 . 0 017 . 0 U
2 2
power
= + + =
2