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A Comparative Analysis of Step and Touch Voltages Depending on Two Test Voltage Waveforms
• • ABSTRACT
A Comparative Analysis of Step and Touch Voltages Depending on Two Test Voltage Waveforms
KEYWORD
Touch voltage , Step voltage , Ground meter , Ring wave generator , Pulsed power technology
• ### 1. INTRODUCTION

Grounding provides an electrical connection between electrical installations and the earth. The main functions of grounding is in preventing electric shocks to the human body and to protect electrical installations from a potential rise in current due to breakdown, lightning, or overvoltage by allowing the fault current to flow to the ground [1-4]. The performance of the grounding system, especially in regards to electric shock, is evaluated using step and the touch voltages.

Currently, the commercial frequency sine wave is used to measure the step and touch voltages. However, it requires a large approximately 40 kg transformer to make a few amperes of current to flow into the ground, which can cause difficulty in moving the transformer to different sites [5-9].

As a solution to this problem, we fabricated a small and lightweight ring wave generator that uses pulsed power technology and carried out comparative analysis of the step and touch voltages upon the application of sine wave and ring wave voltages.The ring wave generator only consists of a high voltage circuit, a capacitor, and a non-saturation reactor, and therefore its weight can be reduced to one-fifth of that of the sine wave generator. An experimental grounding system was fabricated in accordance with Institute of Electrical and Electronics Engineers standards(IEEE Stds.) 80 and 81 in order to compare the step and the touch voltages on the basis of the test voltage waveforms [10,11].

The results showed that the step and the touch voltages, which were compared using the sine and the ring wave in terms of equal magnitude and frequency, were the same. Additionally, it is possible to measure the step and the touch voltage using currents of different magnitudes at the same time if a ring wave is used.

### 2. EXPERIMENTS

A comparative analysis of the step and the touch voltage was  carried out in a grounding system by applying a sine and a ring wave.

The sine wave was applied using a 300 V and 5.6 A inverter power supply which can vary its frequency over the range of 40 Hz-1 kHz. A ring wave was applied using the fabricated 300 V and 20 A pulsed power generator, which can adjust its frequency over the range of 100 Hz-1 kHz.

### 2.1 Ring wave generator

A ring wave generator consists of a high voltage DC supply(HVDC), a capacitor (C), a charging resistor (RC), a non-saturation reactor (L), and an output resistor (RL), as shown in Fig. 1.

The C is charged up to E through the RC. The VO is generated on both sides of RL when C is discharged by closing the switch gap. The resistance of the switch gap shown in Fig. 1 is ignored,and so the basic equation can be expressed as :  If the switch gap is closed at initial condition t = 0, Eq. (1) can be solved for the following three conditions of R (= RO + RL).

(a) When R > 2 √L / C , the output voltage VO is a non-oscillation waveform which slowly attenuates after a fast rise; its solution is:

(b) When R = 2√ L / C , the output voltage VO is a critical damping waveform; its solution is: (c) When R < 2√ L / C, the output voltage VO is under a damping waveform; its solution is:

A ring wave can be generated by decreasing R and increasing L as seen in Eq. (4); the frequency is set by the R and L. A ring wave generator to measure the step and the touch voltages was designed through a simulation using PSpice and the above-stated theoretical analysis.

Figure 2 is an example of the output waveform from the fabricated ring wave generator. It shows that the waveforms from the generator and the simulation are almost equivalent.

### 2.2 Grounding system

A grounding system, shown in Fig. 3, was installed in accordance with IEEE Stds. 80 and 81, used to compare the step and the touch voltage depending on test voltage waveforms, the sine and the ring wave. A grounding electrode (E) was buried 10 m away from a current electrode (C) and potential electrodes (P1,P2) were buried at 1 m distance from the grounding electrode.

After applying the ring and the sine wave voltage between the current electrode and the grounding electrode, the step and the touch voltage were calculated by measuring the voltage between E-P1(V1) and P1-P2(V2) . The current flowing to the grounding electrode was also measured.  ### 3. RESULTS AND DISCUSSION

Figures 4 and 5 show sample waveforms of the step and the touch voltages measured upon the application of sine and ring waves at 1.6 A and 1 kHz to the grounding system. Provided that the sine and the first peak of the ring wave were 1.6 A, the step voltage was consistently 1.86 V.

As can be seen in Fig. 4(b), the step voltage at three magnitudes of current: 1.6 A, 0.53 A, and 0.18 A, can be measured at the same time when the ring wave is applied. The touch voltage was also equal to the sine and the ring wave, as shown in Fig. 5.

Figure 6 shows the comparison of the step and the touch voltage when the frequency of the test voltage is varied from 100 Hz to 1 kHz with the current flowing at 1 A. Regardless of the frequency or the test voltage waveform, the step voltage was 1.2 V and the touch voltage was 76 V, showing equivalent results.

Figure 7 shows the comparison between the step and the touch voltages when the current flowing to the grounding electrode varies from 0.1 A to 2.3 A at a frequency of 1 kHz. The step and the touch voltages increase linearly in proportion to the applied current consistently for both waveform types.

In this paper, we carried out a comparative analysis on the step and the touch voltage of a grounding system depending on test voltage waveform at a current far smaller than an actual fault current. However, because an underground arc discharge may occur with a large fault current of several tens or hundreds of amperes flowing to the grounding systems, further studies regarding this phenomenon should be undertaken.

### 4. CONCLUSIONS

In order to develop a small and lightweight ground meter, we fabricated a ring wave generator and compared the step and the touch voltages of a grounding system when using sine and ring wave voltages. Using pulsed power technology, the weight of the fabricated ring wave generator can be reduced to one-fifth of that needed by a sine wave generator.

The experiment was performed on a grounding system specified in IEEE Stds. 80 and 81. The results showed that the step and the touch voltages, which were measured under comparable sine and the ring wave voltages in terms of the magnitude (0.1 A-2.3 A)and the frequency (100 Hz-1 kHz), were equal. Consequently, it is concluded that the weight of a ground meter can be reduced if the ring wave replaces the sine wave.

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• [ Fig. 1. ]  The ring wave generator equivalent circuit. • [ Fig. 2. ]  The waveform comparison: (a) simulation and (b) generator. • [ Fig. 3. ]  The grounding system configuration. • [ Fig. 4. ]  The step voltage waveform comparison: (a) sine wave and (b)ring wave. • [ Fig. 5. ]  The touch voltage waveform comparison: (a) sine wave and (b)ring wave. • [ Fig. 6. ]  The comparison between the step and the touch voltage dependingon the frequency and waveform: (a) step voltage and (b)touch voltage. • [ Fig. 7. ]  The comparison between the step and the touch voltage dependingon injected current: (a) step voltage and (b) touch voltage. (우)06579 서울시 서초구 반포대로 201(반포동)
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