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Download Calibration of high-frequency wattmeters used for standby power
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Calibration of high-frequency wattmeters used for standby power testing to IEC 62301 August 2011 I. Budovsky and D. Georgakopoulos National Measurement Institute, Australia Low Frequency Electrical Standards Overview • • • • • • • IEC 62301 definition of standby power Motivation for this work Calibration waveforms System description Traceability Experimental results Summary Standby power definition according to IEC 62301 “the lowest power consumption mode which cannot be switched off (influenced) by the user and that may persist for an indefinite time when an appliance is connected to the main electricity supply and used in accordance with the manufacturer’s instructions.” Motivation • Electrical appliances operating in standby mode consume small amount of electrical power • The current in standby mode can take the form of pulses or spikes • Required measurement uncertainty by IEC 62301 < 2%, measured power > 0.5 W < 0.01 W, measured power < 0.5 W • The IEC standard specifies current waveforms with CF up to 10 I max CF I RMS CF=1.41 for a sinewave CF=1.00 for a square wave … Motivation • Because of the high CF specified by the IEC standard, power meters for standby power cannot be calibrated with sinusoidal waveforms • Hence there is a need to develop techniques to traceably verify power meters for the specific conditions described in IEC 62301 Calibration waveforms • Voltage – sinewave with maximum distortion of 2% (up to and including the 13th harmonic) –crest factor from 1.34 to 1.49 – use of a sinewave (THD <0.02%) for calibration is good enough • Current – specification only for CF (up to 10) – no distortion specified – recommends the instrument must measure up to at least the 50th harmonic Current waveforms I sinc 1 Amplitude I pulse 0.5 0 0 0.2 0.4 0.6 0.8 -0.5 -1 1 Harmonic magnitude 1.5 1.2 0.18 0.16 0.14 0.12 0.1 0.08 0.06 0.04 0.02 0 Pulse Sinc 0 20 40 60 Harmonic number -1.5 Normalised time (s) Same CF and fundamental magnitude But different • harmonic content • peak values and • rms values when the harmonics are included 80 100 Selecting current waveform We are looking for a current waveform to test the current channel of a power meter which: • satisfies the IEC requirements or recommendations – CF requirement – contain pulses or spikes – high bandwidth • is physically realisable In our calibration system we use a pulsed current Advantages of using pulsed current • A pulse is a wideband signal and is a more challenging test for the measurement system I-V converter Amplifier LPF S/H ADC • Sampling frequency > 2 maximum signal frequency • The channel frequency response known for the signal frequencies Magnitude (% of fundamental) • A crest factor of 10 is more easily achieved with a pulsed current waveform while maximizing the H(j) LPF, Fs>2×f max measured power • Satisfies the 50th harmonic recommendation of the IEC standard f f F x • Simple relation offmax the fCF with the power s 120 100 80 60 40 20 0 -20 1 Fs -fx 10 100 Harmonic number 1000 10000 Measured power as a function of CF i(t) 1.5 t1 T 4 Im tp t2 T 4 2 tp t3 3T 4 2 t p t 2 t1 t 4 t3 tp t 4 3T 4 2 tp 1 U (t) I 2 0.5 0 0 t1 t2 t3 t4 T t 1 2 3 4 5 6 7 -0.5 -1 CF -Im T/tp -1.5 tp: pulse width T: pulse period Zero power factor Harmonics Im T CF I rms 2t p 5 50 10 200 20 800 P Vm I m sin 2 2(CF ) 2 In 2 n I sin 2 m CF 2 n sinc 2 2CF P V1I1 cos Harmonic voltage 45˚90˚ ˚ 0 • The power for the selected waveforms is concentrated only on the fundamental • The calibration system must be characterized at power frequencies 77 73 69 65 61 57 53 49 45 41 37 33 29 25 21 17 9 13 1 I 0° I V 5 V Magnitude of voltage and current harmonics Calibration waveforms (… continued) System description High frequency Thermal Power Comparator (TPC) Measures the difference between the unknown ac power (ACV and ACI) and thesystem known dc (DS1 and DS2) Calibration Dual Channel Voltage Source Voltage Amplifier Power Generation VD Power Measurement ACV UUT TCA i(t) Rs TCA minimum ACI Distortion, high bandwidth TPC DCS1 DCV DCS2 DCI 10 MHz TPC: multi-junction thermal converters, no aliasing t Thermal Power Comparator VD S 1 Uu 1 S3 S5 I U~ Uu 2 S4 S 6 III Ui1 RS IV Controlled Switches Uio Differential Amplifiers Uc 1 S7 Output Amplifier Ui2 Uuo TC1 Y S2 I~ II Uc 2 Temperature Compensation Sum-andDifference TC2 Traceability • • • • • Power measurement Thermal Power Comparator Magnitude and Current shunts Phase errors Voltage divider Voltage measurement error (dc only) Frequency (negligible) Each of these components has been characterized and is traceable to the NMIA standards of voltage, current, resistance, frequency and electrical power Uncertainty budget Component TPC AC-DC difference Shunt Resistive voltage divider DVM1 DVM2 Type A Source adjustment Distribution Ui (W/VA) ki ci ui (W/VA) ciui (W/VA) i Normal Normal Normal Normal Normal Normal Normal 67 10 20 8 8 50 10 2 2 2 1 1 2 2 1 1 1 1 1 1 1 33.6 5.0 10.0 8.0 8.0 25.0 5.0 33.6 5.0 10.0 8.0 8.0 25.0 5.0 30 30 30 30 31 19 30 Combined standard uncertainty, uc (W/VA) Effective degrees of freedom, ueff Coverage factor, k Expanded uncertainty U = kuc (W/VA) 45.1 65 2.00 90.1 Typical uncertainties of commercial wattmeters compared to IEC 62301 requirements Current Range Current Applied (Apk) (Apk) 5 3 1 0.6 Current Crest Factor 3 3 3 5 10 3 3 3 5 10 20 Phase Angle Nominal Power Uncertainty (degrees) 0 + 60 - 60 0 0 0 + 60 - 60 0 0 0 (W) 112.564 56.282 56.282 40.703 10.182 22.513 11.256 11.256 8.141 2.036 0.509 (W) ± 0.06 ± 0.03 ± 0.04 ± 0.03 ± 0.06 ± 0.012 ± 0.006 ± 0.006 ± 0.005 ± 0.012 ± 0.006 Uncertainty required by IEC62301 (W) ± 2.3 ± 1.1 ± 1.1 ± 0.81 ± 0.20 ± 0.45 ± 0.23 ± 0.23 ± 0.16 ± 0.04 ± 0.01 Summary • A traceable measurement system for calibration of wattmeters used in standby electrical power testing has been developed • The measurement system is based on a thermal power comparator, precision current shunts, inductive and resistive voltage dividers and precision amplifiers • Each of these components has been evaluated in a traceable way • The expanded uncertainty of the system is better than 100 W/VA for a crest factor of 3 • The system has been tested for current waveforms with crest factors up to 20 National Measurement Institute Bradfield Road West Lindfield NSW 2070 Australia Phone: + 61 2 8467 3600 Email: [email protected]