Numerical Problems 1. In a coaxial power cable the radius of the conductor is 25 mm and the thickness of insulation is 8 mm. Calculate the Schwaiger factor n in this field configuration. Comment on uniformity of electric field. 2. What will be the most economical (optimum) conductor diameter of a single core power cable to be used on 132 kV power systems? Also find the diameter over the insulation provided to the conductor if the maximum permissible stress is not to exceed 8 kV/mm. 3. Two parallel plates which are oppositely charged are placed 5 cm apart. The potential difference, in volts, between the plates is 100 kV. Find the electric field intensity between them. 4. In a 220 kV rated voltage coaxial spherical system of a GIS the radius of the inner HV electrode is 10.0 cm and the SF6 gas insula- tion thickness of 18.0 cm is provided around. Find (a) The max and min electric field intensities and the Schwaiger factor in the system. (b) For the given system voltage and fixed outer radius of the coaxial system, what changes in the configuration will be needed to optimise the max field inten- sity in this system? What will be its value then? 5. If a potential of 5 kV is applied across gap distance d' of 5 cm in air between (a) the uniform, (b) weakly nonuniform and (c) extremely nonuniform field electrode systems shown in Fig. 2.1, find the maximum field intensities, Emax at the high-voltage electrode in each case? 6. In which case is the dielectric properties of air utilized least?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
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Numerical Problems
1. In a coaxial power cable the radius of the
conductor is 25 mm and the thickness of
insulation is 8 mm. Calculate the Schwaiger
factor n in this field configuration. Comment
on uniformity of electric field.
2. What will be the most economical (optimum)
conductor diameter of a single core power
cable to be used on 132 kV power systems?
Also find the diameter over the insulation
provided to the conductor if the maximum
permissible stress is not to exceed 8 kV/mm.
3. Two parallel plates which are oppositely
charged are placed 5 cm apart. The potential
difference, in volts, between the plates is 100
kV. Find the electric field intensity between
them.
4. In a 220 kV rated voltage coaxial spherical
system of a GIS the radius of the inner HV
electrode is 10.0 cm and the SF6 gas insula-
tion thickness of 18.0 cm is provided around.
Find
(a) The max and min electric field intensities
and the Schwaiger factor in the system.
(b) For the given system voltage and fixed
outer radius of the coaxial system, what
changes in the configuration will be
needed to optimise the max field inten-
sity in this system? What will be its value
then?
5. If a potential of 5 kV is applied across gap
distance d' of 5 cm in air between (a)
the uniform, (b) weakly nonuniform and (c)
extremely nonuniform field electrode systems
shown in Fig. 2.1, find the maximum field
intensities, Emax at the high-voltage electrode
in each case?
6. In which case is the dielectric properties of air
utilized least?
Transcribed Image Text:Numerical Problems 1. In a coaxial power cable the radius of the conductor is 25 mm and the thickness of insulation is 8 mm. Calculate the Schwaiger factor n in this field configuration. Comment on uniformity of electric field. 2. What will be the most economical (optimum) conductor diameter of a single core power cable to be used on 132 kV power systems? Also find the diameter over the insulation provided to the conductor if the maximum permissible stress is not to exceed 8 kV/mm. 3. Two parallel plates which are oppositely charged are placed 5 cm apart. The potential difference, in volts, between the plates is 100 kV. Find the electric field intensity between them. 4. In a 220 kV rated voltage coaxial spherical system of a GIS the radius of the inner HV electrode is 10.0 cm and the SF6 gas insula- tion thickness of 18.0 cm is provided around. Find (a) The max and min electric field intensities and the Schwaiger factor in the system. (b) For the given system voltage and fixed outer radius of the coaxial system, what changes in the configuration will be needed to optimise the max field inten- sity in this system? What will be its value then? 5. If a potential of 5 kV is applied across gap distance d' of 5 cm in air between (a) the uniform, (b) weakly nonuniform and (c) extremely nonuniform field electrode systems shown in Fig. 2.1, find the maximum field intensities, Emax at the high-voltage electrode in each case? 6. In which case is the dielectric properties of air utilized least?
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