Power Quality and Electromagnetic Compatibility Aspects at Personal Computers
Abstract
:1. Introduction
2. Some Considerations Concerning Power Quality
2.1. Recordings, Numerical Processing, and Analysis of Waveforms Acquired with a Sampling Frequency of 80 kHz
- (a)
- the sub-range (0–2) kHz corresponds to a harmonic analysis related to power quality (e.g., according to the European standard EN 50160)—Figure 4. The harmonic analysis uses FFT up to the harmonic order 40;
- (b)
- the sub-range (2–9) kHz corresponds to the decomposition in Fourier series for harmonic orders belonging to the range (40–180). This analysis is also related to the fact that the harmonic analysis of signals from both channels (voltage and current) can be accomplished based on data acquisition up to a frequency of 9 kHz—Figure 5. It is worth mentioning that some standards from the EMC domain starts from 9 kHz (e.g., CISPR standards);
- (c)
- the sub-range (9–40) kHz corresponds to the decomposition in Fourier series for harmonic orders in the range (180–800). Our original algorithm allows for a harmonic decomposition for orders higher than 1000 (which corresponds to a frequency of 50 kHz). Given the sampling frequency of 80 kHz, our analysis could be made up to the frequency of 40 kHz—Figure 6 (based on Nyquist criterion).
2.2. Recordings, Numerical Processing, and Analysis of Waveforms Acquired with a Sampling Frequency of 19.2 kHz
- -
- active power:
- -
- reactive power:
- -
- distorting power:
- -
- apparent power:
- -
- the superscripts denote the harmonic order (0 for the frequency of 50 Hz);
- -
- denote the RMS values of the “n”-th harmonic order (U for voltage and I for current);
- -
- denotes the phase shift (voltage versus current) for the “n”-th harmonic order [16].
3. Some Considerations Concerning Electromagnetic Compatibility
3.1. Considerations on Conducted Emissions for a Portable Compatible Equipment
3.1.1. Test Configuration
- (a)
- measurements with detectors of quasi—peak (QP) values (local maximums) and of average values (AV);
- (b)
- bandwidth used by the measuring receiver: 9 kHz;
- (c)
- time elapsed between 2 consecutive measurements (time step-(TS)): 0.5 ms.
3.1.2. Measurement Detectors
- -
- a PC running a program dedicated to CEs (the program EMC32);
- -
- a LISN, type NNB 51;
- -
- an ESCI3 EMI measuring receiver Rohde & Schwarz (referred below as R&S ESCI3).
3.1.3. Measurement Results
3.2. Considerations on Radiated Emissions for a Portable Compatible Equipment
- (i)
- Test procedure of radiated emissions
- (ii)
- Test conditions for radiated emissions
- Test range: (0.03…1) GHz;
- Band width: 120 kHz;
- Frequency step: 60 kHz;
- Test time/frequency step: 1 s (for QP values).
- (iii)
- Tests Results Concerning the Radiated EM Emissions
- (a)
- Radiated Emissions in Horizontal Polarization
- (b)
- Radiated Emissions in Vertical Polarization
3.3. Testing the Immunity of a Laptop
- -
- GTEM Cell, type 750 (maximum size of EUT: 0.62 × 0.62 × 0.49 m);
- -
- Signal Generator/Power Meter, type PMR 6006 (0.001–6) GHz;
- -
- Field sensors; Connectors (Cable RF type CHA 9511);
- -
- Bi-directional Coupler (0.08–1) GHz;
- -
- CBA 1G-150 Power Amplifier, type CBA 9479;
- -
- Spectrum Analyzer, type Tektronix RSA 3308A.
- Electric field strength 30 V/m;
- Sinusoidal signal with magnitude’s modulation 80%, with a frequency of 1 kHz;
- Operating frequency: (0.08–1) GHz.
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parameter | Units | Value |
---|---|---|
Total RMS voltage—RMSV | V | 109.59 |
Voltage RMS on fundamental harmonic—RMSV1 | V | 109.55 |
Voltage distorting residue—U1d | V | 2.77 |
Voltage Total Harmonic Distortion—VTHD | % | 2.53 |
Total RMS absorbed current—RMSI | A | 0.605 |
Current RMS on fundamental harmonic—RMSI1 | A | 0.425 |
Current distorting residue—I1d | A | 0.429 |
Current Total Harmonic Distortion—ITHD | % | 71.09 |
Parameter | Units | Value |
---|---|---|
Total RMS voltage—RMSV | V | 107.32 |
Voltage RMS on fundamental harmonic—RMSV1 | V | 107.28 |
Voltage Total Harmonic Distortion—VTHD | % | 2.52 |
Total RMS absorbed current—RMSI | A | 0.627 |
Current RMS on 50 Hz-RMSI1 | A | 0.437 |
Current Total Harmonic Distortion—ITHD | % | 71.36 |
The Peak values for voltage—Vpeak | V | 151.58 |
The Peak coefficients for voltage—Kpeak(V) | - | 0.413 |
The Peak values for current—Ipeak | A | 1.767 |
The Peak coefficients for current—Kpeak(I) | - | 2.816 |
Parameter | Units | Value |
---|---|---|
The active power (absorbed)—P | W | 43.79 |
The active power on fundamental harmonic (absorbed)—P1 | W | 44.62 |
The total reactive power—Q | VAr | −16.17 |
The reactive power on fundamental harmonic—Q1 | VAr | −16.33 |
The distorting power—D | VAd | 51.65 |
The total apparent power—S | VA | 70.18 |
The apparent power on fundamental harmonic—S1 | VA | 47.74 |
Power factor—PF | - | 0.644 |
The phase shift (voltage vs. current) for 50 Hz | degrees | −20.88 |
Limits | [dB(μV/m)] | |
---|---|---|
Frequency Range [MHz] | Quasi-Peak | Average |
0.15 to 0.50 | 66 to 56 | 56 to 46 |
0.50 to 5 | 56 | 46 |
5 to 30 | 60 | 50 |
Frequency Range [MHz] | Quasi-Peak Value [dB(µV/m)] |
---|---|
30–230 | 40 |
230–1000 | 47 |
Frequency (MHz) | Generator Output (dBm) | Input Power (W) | Estimated Stress (V/m) |
---|---|---|---|
80 | −5.51 | 0.28 | 30.2 |
150 | 1.14 | 1.3 | 30.34 |
193 | 3.35 | 2.16 | 30.25 |
222 | −5.11 | 0.31 | 30.43 |
314 | −7.28 | 0.18 | 30.36 |
420 | −8.1 | 0.15 | 30.76 |
536 | −5.36 | 0.29 | 30.78 |
621 | −8.8 | 0.29 | 30.87 |
685 | −5.29 | 0.29 | 30.89 |
792 | −5.29 | 0.18 | 30.92 |
874 | 1.27 | 1.33 | 30.75 |
917 | −3.87 | 0.41 | 30.86 |
1000 | 1.42 | 1.38 | 30.95 |
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Nicolae, I.-D.; Nicolae, P.-M. Power Quality and Electromagnetic Compatibility Aspects at Personal Computers. Energies 2022, 15, 4661. https://doi.org/10.3390/en15134661
Nicolae I-D, Nicolae P-M. Power Quality and Electromagnetic Compatibility Aspects at Personal Computers. Energies. 2022; 15(13):4661. https://doi.org/10.3390/en15134661
Chicago/Turabian StyleNicolae, Ileana-Diana, and Petre-Marian Nicolae. 2022. "Power Quality and Electromagnetic Compatibility Aspects at Personal Computers" Energies 15, no. 13: 4661. https://doi.org/10.3390/en15134661