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High Voltage Engineering
Course Code: EE 2316
10/28/2017 Prof. Dr. Magdi El-Saadawi 1
Prof. Dr. Magdi M. El-Saadawi
www.saadawi1.net
E-mail : [email protected]
www.facebook.com/magdi.saadawi
ContentsChapter 1
Introduction to High Voltage Technology
Chapter 2
Generation of High Voltages and Currents
Chapter 3
Measurement of High Voltages and Currents
Chapter 4
Breakdown Mechanism of Gases, Liquid and
Solid Materials210/28/2017 Prof. Dr. Magdi El-Saadawi
Chapter 3
Measurement of High Voltages and Currents
3.1. Introduction
3.2. Measurement of High Direct Current Voltages3.2.1 High Ohmic Series Resistance with Microammeter
3.2.2 Resistance Potential Dividers for d.c. Voltages
3.2.3 Generating Voltmeters
3.3. Measurement of High A.C. and Impulse Voltages3.3.1 Series Impedance Voltmeters
3.3.2 Capacitance Potential Dividers and Capacitance Voltage Transformers
3.3.3 Electrostatic Voltmeters
3.3.4 Peak Reading a.c. Voltmeters
3.3.5 Spark Gaps
3.3.6 Potential Dividers
3.4. Measurement of High A.C. and Impulse Currents3.4.1 Measurement of High Direct Currents
3.4.2 Measurement of High Frequency and Impulse Currents
3.4.3 Cathode Ray Oscillographs for Impulse Measurements
3.5. Solved Examples
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Table 3.1 High voltage Measurement Techniques
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Table 3.2 High Current Measurement Techniques
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➢Measurement of high a.c. voltages employ conventional
methods like series impedance voltmeters, potential
dividers, potential transformers, or electrostatic voltmeters.
But their designs are different from those of low voltage
meters, as the insulation design and source loading are the
important criteria.
➢When only peak value measurement is needed, peak
voltmeters and sphere gaps can be used. Often, sphere gaps
are used for calibration purposes.
➢ Impulse and high frequency a.c. measurements invariably
use potential dividers with a cathode ray oscillograph for
recording voltage waveforms.
3.3 Measurement of High A.C. and Impulse Voltages
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➢ For power frequency a.c. measurements the series
impedance may be a pure resistance or a reactance.
➢ In H.V. a capacitor is preferred as series reactance because:
➢ Resistances involve power losses,
➢ For high resistances, the variation of resistance with temperature
is a problem, and
➢ The residual inductance of the resistance gives rise to an
impedance different from its ohmic resistance.
High resistance units for
HV have stray capacitances
and have an equivalent
circuit as shown.
3.3.1 Series Impedance Voltmeters
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➢The entire resistor unit then has to be taken as a
transmission line equivalent, for calculating the
effective resistance.
➢Also, the ground or stray capacitance of each
element influences the current flowing in the unit,
and the indication of the meter results in an error.
➢The equivalent circuit of a high voltage resistor
neglecting inductance and the circuit of
compensated series resistor using guard and timing
resistors is shown in Figs. 3.5a and b respectively
3.3.1 Series Impedance Voltmeters
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• In Fig. 3.5b stray ground capacitance effects can be
removed by shielding the resistor R by a second
surrounding spiral Rs which shunts the actual
resistor but does not contribute to the current
through the instrument.
• By tuning resistors Ra the shielding resistor end
potentials may be adjusted with respect to the
actual measuring resistor so that the resulting
compensation currents between the shield and the
measuring resistors provide a minimum phase
angle.
3.3.1 Series Impedance Voltmeters
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3.3.2 Capacitance Potential Dividers and
Capacitance Voltage Transformers
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➢To avoid the drawbacks pointed
out earlier, a series capacitor is
used instead of a resistor for a.c.
high voltage measurements.
➢The schematic diagram is shown
➢The current Ic through the meter
is: Ic = jωCV
where,
• C = capacitance of series capacitor,
• ω = angular frequency, and
• V= applied a.c. voltage.
Capacitance Potential Dividers
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• Series capacitance voltmeters were used with
cascade transformers for measuring rms values up
to 1000 kV.
• The series capacitance was formed as a parallel
plate capacitor between the high voltage terminal of
the transformer and a ground plate suspended
above it.
• The meter was usually a 0-100 μA moving coil
meter and the overall error was about 2%.
Capacitance Potential Dividers
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➢ Objective:
Measuring high A.C voltage using capacitive voltage
dividers
➢Components:
• An electrostatic voltmeter or a high impedance V.T.V.M.
(vacuum-tube voltmeter) or an oscilloscope
• A standard compressed air or gas condenser, C1
• A large loss condenser (mica, paper, ..). C2
• A long cable for connecting the HV source to the meter
➢Wiring: as shown in Fig. 3.7
➢Procedure:
Capacitance Potential Dividers
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➢Procedure:
• Measure the value of Cm
• Read the values of C1 and C2
• Take the required H.V. measurement cautions
• Wire the circuit components as shown in Figure
• Connect the H.V. source to the connected circuit
• Read the voltmeter reading V2
• Calculate the Value of V1 using
• Repeat the experiment and take the average
Capacitance Potential Dividers
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➢It is similar to series
capacitance voltmeter
➢A matching transformer is
connected between the load
or meter M and C2
➢The value of the tuning
choke L is chosen to make
the equivalent circuit of the
CVT purely resistive or to
bring resonance condition:L= inductance of the choke,
Capacitance Voltage Transformer - CVT
LT = equivalent inductance of the transformer referred to h.v. side.
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➢The voltage ratio becomes:
(neglecting the voltage drop
ImXe which is very small
compared to the voltage VC1)
where
➢VRi is the voltage drop in the
transformer and choke windings
Capacitance Voltage Transformer - CVT
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• The advantages of a CVT are:
• simple design and easy installation,
• can be used both as a voltage measuring device for meter and
relaying purposes.
• frequency independent voltage distribution along elements as
against conventional magnetic potential transformers which
require additional insulation design against surges, and
• provides isolation between the high voltage terminal and
low voltage metering.
• The disadvantages of a CVT are:
• the voltage ratio is susceptible to temperature variations, and
• the problem of inducing ferro-resonance in power systems.
Capacitance Voltage Transformer - CVT
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• A uniform field spark gap will always have a spark over
voltage within a known tolerance under constant
atmospheric conditions.
• Hence a spark gap can be used for measurement of the
peak value of the voltage, if the gap distance is known.
• Normally, only sphere gaps are used for voltage
measurements. In certain cases, uniform field gaps and
rod gaps are also used, but their accuracy is less
• Sphere gap breakdown is independent of the voltage
waveform and hence is suitable for measuring the peak
value of all H.V. types: d.c., a.c. and impulse voltages of
short rise times (rise time > 0.5 μs).
3.3.5 Spark Gaps
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• Sphere gaps can be arranged either
– Vertically with lower sphere grounded, or
– horizontally with both spheres connected to the source voltage or
one sphere grounded.
• The two spheres used are identical in size and shape.
• Spheres are generally made of copper, brass, or aluminum;
the latter is used due to low cost.
• One sphere is grounded and the other is connected to the
HV source
• A series resistance is usually connected between the source
and the sphere gap to: limit the breakdown current
• The standard diameters for the spheres are as shown in
tables: 2,5,6.25,10,12.5,15,25,50,75,100,150, and 200 cm.
3.3.5 Spark Gaps
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➢Procedure:
• The voltage to be measured is applied to the sphere
• The distance or spacing S between them is decreased
until the spark occur
• Ground the spheres to discharge the electrical charges
• Take the distance S between spheres and compute the
value of the measured voltage from the tables
• Repeat the experiment and take the average
3.3.5 Spark Gaps
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• nearby earthed objects,
• atmospheric conditions and humidity,
• irradiation, and
• polarity and rise time of voltage waveforms.
Factors Influencing the Sparkover Voltage of
Sphere Gaps
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(i) Effect of nearby earthed objects
Prof. Dr. Magdi El-Saadawi
(ii) Effect of atmospheric conditions
•Humidity effect increases with the size of spheres and is maximum for
uniform field gaps, and
• Sparkover voltage increases with the partial pressure of water vapor in
air, and for a given humidity condition, the change in sparkover voltage
increases with the gap length.
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• Illumination of sphere gaps with ultra-violet or x-
rays aids ionization in gaps easy. يساعد فى تسهيل عمليات التأين
• The effect of irradiation is pronounced واضح for
small gap spacings.
• Hence, irradiation is necessary for smaller sphere
gaps of gap spacing less than 1 cm for obtaining
consistent values.
(iii) Effect of Irradiation
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• It has been observed that the sparkover voltages for
positive and negative polarity impulses are
different.
• Experimental investigation showed that for sphere
gaps of 6.25 to 25 cm diameter, the difference
between positive and negative d.c. voltages is not
more than 1%.
• For smaller sphere gaps (2 cm diameter and less)
the difference was about 8% between negative and
positive impulses of 1/50 μs waveform.
(iv) Effect of polarity and waveform
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• A rod gap may be used to measure the peak value of power
frequency and impulse voltages.
• The gap usually consists of two 1.27 cm square rod
electrodes square in section at their end and are mounted
on insulating stands so that a length of rod equal to or
greater than one half of the gap spacing overhangs the
inner edge of the support.
• The arrangement consists of two hemispherically capped
rods of about 20 mm diameter as shown in Fig. 3.15.
• The accuracy of the above relation is better than 20% and,
therefore, provides better accuracy even as compared to a
sphere gap.
Rod Gaps
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Video Links
https://www.youtube.com/watch?v=m925I3yapBc
https://www.youtube.com/watch?v=KVANbkI8AmM
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