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(a) VF for the AC waveform (1 V at 62.5 Hz) generated from the Type-I AC source, measured by differential sampling with the integrating sampler. The measurements were performed intermittently for a period of approximately two months in Mode A, Mode B, and Mode C. Each data point represents a mean of 25 or more measurements with the Type A uncertainty. Detailed sampling parameters for data points are represented in table 1. (b) Comparison of the VF values obtained in Mode A and Mode C. (c) Comparison of the VF values obtained in Mode A and Mode B.

(a) VF for the AC waveform (1 V at 62.5 Hz) generated from the Type-I AC source, measured by differential sampling with the integrating sampler. The measurements were performed intermittently for a period of approximately two months in Mode A, Mode B, and Mode C. Each data point represents a mean of 25 or more measurements with the Type A uncertainty. Detailed sampling parameters for data points are represented in table 1. (b) Comparison of the VF values obtained in Mode A and Mode C. (c) Comparison of the VF values obtained in Mode A and Mode B.

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... The National Institute of Standards and Technology (NIST) experimentally verified the feasibility of AC voltage measurement by the differential sampling method based on PJVS for the first time with two sets of PJVS systems in 2008 [7]. Over the past decade, several national metrology institutions (NMIs) such as PTB [5,8], NIST [7,9,10], Korea Research Institute of Standard and Science (KRISS) [11][12][13], National Institute of Advanced Industrial Science and Technology (AIST) [14,15] and the National Institute of Metrology (NIM) [16] have conducted research on differential sampling systems based on PJVS to measure AC voltages. The process of differential sampling based on PJVS for AC waveform measurement is shown in Figure 1. ...
... The process of differential sampling based on PJVS for AC waveform measurement is shown in Figure 1. Commonly used samplers by NMIs include Keysight 3458A [7,[9][10][11][12][13]15,17], NI PXI cards 5922 [8,12,13,18,19] and 4461 [18,19], and Fluke 8588A [13]. Various countries have different post-processing algorithms to meet different application requirements [20]. ...
... The process of differential sampling based on PJVS for AC waveform measurement is shown in Figure 1. Commonly used samplers by NMIs include Keysight 3458A [7,[9][10][11][12][13]15,17], NI PXI cards 5922 [8,12,13,18,19] and 4461 [18,19], and Fluke 8588A [13]. Various countries have different post-processing algorithms to meet different application requirements [20]. ...
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... The main limitation of PJVS lies in the time taken for the output voltage switching: during these transients, the array voltage is not quantum-defined, thereby restricting PJVS arrays to meet the requirements of primary metrology uncertainties only for signals up to a few kHz. In spite of this, PJVS have been shown capable of calibrating precision ac voltage sources using selective differential sampling techniques [8][9][10][11], achieving considerably lower uncertainties compared to thermal voltage converters (TVCs), down to one part in 10 8 at 1 V and 250 Hz [12]. Frequency extension of PJVS calibrations up to 100 kHz is also under investigation by means of differential sub-sampling [13,14]. ...
... In recent years, differential sampling based on a PJVS as a reference for measuring AC signals has been widely used in national metrology institutions (NMIs) [4][5][6][7]. Using the quantized step of the stepwise approximated waveforms generated by PJVS, the differential sampling method can accurately measure the unknown AC voltage with the transients discarded [8][9][10][11][12][13]. However, the PJVS system requires liquid helium for operation, and AC voltage calibration with it is complex and costly [8]. ...
... The Keysight 3458A is well known for its superior linearity and transfer accuracy in standard DCV mode [13]. To make the most of its excellent performance in this mode and reduce gain deviations when measuring AC signals, this paper proposes a differential sampling method that uses a commercial DAC (which is in one channel of the NI 6733) as a Sensors 2024, 24, 2228 2 of 14 reference to determine the amplitude and phase of AC waveforms. ...
... Furthermore, the effect of this limited bandwidth (150 kHz) of the sampler cannot be negligible. As [13,23] shows, the uncertainty due to the limited bandwidth is about 0.1 µV/V at the frequency of 50 Hz. ...
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... The basic functionality of the AC quantum voltmeter was already described in our last overview paper . Since then, several NMIs developed improved AC-QVM (Lee et al 2013, Rüfenacht et al 2013, Amagai et al 2018, Kim et al 2020. Depending on the PJVS array and its bias sourcecalled PJVS control unit in figure 12-and on the speed of the sampler, an AC-QVM covers voltages up to 10 V and frequencies up to a few kHz (see figure 15(c)). ...
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... There has been significant interest in the use of JVSs to characterize the performance of digitizers, particularly for use in power measurements. Examples include the use of a PJVS to characterize the NI5922 digitizer [17], the 3458A [18][19][20][21][22] and the Fluke 8558A [23]. A Primary AC Power Standard based on a PJVS has been developed [24] and an ac power standard comparison with PJVS and JAWS has been undertaken [25]. ...
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A method for traceability to SI for ac voltage and current based on high performance digitizers is presented. In contrast to the existing thermal-based methods, the proposed method utilizes direct traceability to quantum-based waveforms via the use of Josephson voltage systems. This allows not only a simplification of the traceability chain and reduced measurement times but also offers the potential for analysis of the ac voltage and current waveform spectral content, a feature which is not possible using thermal methods. Scaling of current and voltage is achieved by the use of current shunts and resistive voltage dividers respectively. Target operating ranges are up to 1 A and 100 V with a frequency range up to 1 kHz for both. The corresponding target uncertainty for this traceability route is 1 μVV ⁻¹ and 2 μAA ⁻¹ up to frequencies of 1 kHz. The traceability chain is described and various components are characterized to validate their suitability for this task. It is demonstrated that these uncertainty targets can be met under certain conditions. The use of multi-tone calibration waveforms is investigated to further reduce measurement time. An uncertainty analysis method based on simulation using real component performance data is demonstrated.
... To date, differential sampling of AC voltages [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] based on a programmable Josephson voltage standard (PJVS) has been mainly performed using an integrating sampler, Keysight 3458A (K3458A) 3 or a Δ-Σ analogue-to-digital converter, * Author to whom any correspondence should be addressed. 3 Disclaimer: certain commercial equipment, instruments, or materials are identified in this paper to adequately specify the environmental and experimental procedures. ...
... The magnitude of the error is determined by the transfer function of the filter, which is frequencydependent. For instance, for the K3458A, which is equipped with a low-pass filter with a bandwidth of 150 kHz in the DC voltage (DCV) mode, an error of approximately −25 μV V −1 is introduced for a 1 kHz AC waveform measurement [14,16]. For the NI5922 [17][18][19], although the finite impulse response filter of the sampler inevitably reduces the AC flatness of the passband, the contribution of the systematic error to differential sampling at frequencies up to several kilohertz is limited. ...
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... Nowadays, such ac-QVMs have become commercial quantum-based ac voltage standard measurement systems that provide accuracies of about 1 μV V −1 up to frequencies of 2 kHz within minutes of measurement time [6] and are routinely operated at commercial calibration laboratories [7]. However, ac-QVMs are still the subject of investigations for different configurations [8], for Josephson comparisons [9], and especially onsite state of the art comparisons [10]. The full potential of the PTB ac-QVM (one part in 10 8 at 250 Hz) was demonstrated in a direct comparison with a 1 V pulse-driven Josephson system [11]. ...
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Differential sampling relative to a Josephson waveform, the ac quantum voltmeter (ac-QVM), has been established as the most accurate method for measuring signals below 1 kHz with an uncertainty of 1 part in 10 ⁸ ( k = 1) for 1 V at 250 Hz. Commercial ac-QVMs provide accuracies of about 1 part in 10 ⁶ up to frequencies of 2 kHz. Here we present a new sub-sampling technique to extend the frequency range of an ac-QVM up to 100 kHz. The measurement results at 1 V RMS amplitude agree well within 5 µV V ⁻¹ ( k = 1) with the nominal voltage values for all frequencies from 500 Hz to 100 kHz. Two different analogue-to-digital converters are compared, sampling techniques, error sources and corrections as well as detailed uncertainty estimations are discussed.
... Fortunately, the chip could retrieve its best operating capabilities. As part of the collaboration with the KRISS [8], a new sampler was delivered to the laboratory and is expected to be implemented in the near future. Two computer-controlled low thermal electromotive force switches were developed in collaboration with the PTB. ...
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