high voltage breakdown phenomena - l11 -breakdown.pdfneutral atom results in positive ion adding an...
TRANSCRIPT
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HIGH VOLTAGE Breakdown phenomena Assistant Professor Suna BOLAT KRΓGER
Eastern Mediterranean University
Department of Electric & Electronic Engineering
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Some basic concepts
Insulation
To prevent electrical conduction between points with different potentials
Insulator
Material used for obtaining electrical insulation in the insulation system
β’Gas
β’Liquid
β’Solid
β’Vacuum
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Some basic concepts
Electrical discharge
Any dielectric (or insulator) can withstand a voltage applied below a critical value.
If applied voltage across dielectric exceeds this critical value, a discharge occurs in the insulator medium.
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Electrical discharges
There are different types of electrical discharge.
β’ Breakdown: complete electrical discharge through the insulator
β’ Flashover: complete electrical discharge jumping around the insulator
β’ Partial discharge: partial breakdown on conductors at points with the highest electrical stress
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Electrical breakdown in gases
Gases as insulating medium is often preferred in high voltage technique application because of their self-restoring capability after a breakdown.
(air, SF6 )
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Discharge in gases
β’ Generally, a neutral gas does not conduct electricity when it is conserved from external factors. However, application of electric field can lead the gas to lose its insulating properties at a critical value.
β’ This conduction in dielectric is called ELECTRICAL DISCHARGE. Electrical discharge occurs in the presence of charged particles which are electrons (negatively charges particles) and ions (negatively or positively charged atoms or molecules).
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Structure and excitation of atom and ionization
Nucleous
(protons [positive] and
neutrons [chargeless])
Electron
(negative)
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Removing an electron from a neutral atom results in positive ion Adding an electron to a neutral atom results in negative ion
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Energy on a charge
πΉ = π πΈ
πΈ =π
π
πΉ = ππ
π
πΉπ = ππ = π (ππππππ¦,π€πππ)
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Excitation energy
We = q Ue
VK VL VM
Nucleus
K L M O P We = q (VK β VL)
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Excitation energy
We = q (VK β VL)
When a voltage between two orbits is applied to an electron, electron jumps to the one orbit level up.
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Photon energy
β’ The electron stays at this new orbit level for about 10-8 β 10-9 seconds and it returns to its original position.
β’ The electron is emits energy as photon (beam energy) energy.
ππ = πππ = β ππ Photon energy (quantum of energy)
h: Planckβs constant; fe: frequency of the radiation
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Ionization
Removing an electron from an atom or a molecule is called IONISATION.
Wi = q Ui
Ionization
voltage
W
Free electron positive ion
(which is removed
from the atom)
IONIZATION
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Ionization types in gases
1. Ionization by collision β’ Gas atoms and molecules collect kinetic energy by moving. When
atoms or molecules collide, they transfer their energies to each other.
πΈπ =1
2ππ£2 : kinetic energy
ππ β€1
2ππ£2 β πππππ ππ‘πππ ππ¦ ππππππ πππ
β’ When kinetic energy of an electron exceeds the ionization energy of the atom or molecule (the energy needed to be given to an atom or a molecule in order to remove an electron), ionization occurs. Sometimes ionization occurs progressively.
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Ionization types in gases
2. Photo-ionization A molecule in the ground state can be ionized by a photon having frequency f provided that the quantum of energy emitted h f (by an electron jumping from one orbit to another), is greater than the ionization energy of the molecule. (Gas gains photonβs energy)
ππ = β ππ : Photon energy
h: Planckβs constant = 6.62510-34 Joule.s; fp: frequency of photon
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Ionization types in gases
2. Photo-ionization
π =π£
π, π β β π β β π = β π β π =
π
π
(π£: speed & π: wavelength)
π = β π β₯ ππ β πβππ‘ππππππ ππ‘πππ
Photon with a small wavelength () or high frequency (f) can supply enough energy for ionization.
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Ionization types in gases
3. Thermal ionization
3.1. Gas molecules moves faster when heated.
πΈπ =1
2ππ£2 : kinetic energy increases
ππ β€1
2ππ£2 β πππππ ππ‘πππ ππ¦ ππππππ πππ
3.2. Gas emits light when heated π = β π β₯ ππ β πβππ‘ππππππ ππ‘πππ
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Ionization types in gases
4. Surface ionization 4.1. Electron Bombardment
Electron removed from electrode β β β β
Electrons
Bombardment
Minimum enegy that has to be supplied to the conductor atom or molecule is called output energy
+ β
β
β electrode
conductor
Atom of the conductor
When electrons or positive ions impigne to the electrode, they will remove electron
ππ βͺ ππ = 2 β 25 ππ
0.1 β 1 eV ionization energy
Output energy of the gas
of the electrode
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Ionization types in gases
4. Surface ionization 4.2. Surface ionization by light
Electron removed from electrode β
Light source
+ β
β
β
electrode conductor
Atom of the conductor
ππ βͺ ππ= hf Electron is removed
Photon energy
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Ionization types in gases
4. Surface ionization 4.3. Surface ionization by heat
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Ionization types in gases
4. Surface ionization 4.4. Surface ionization by field effect
E
-
F = q E E = U/d F = q U/d
ππ,ππ‘ππ = 1 β 5 ππ ππ,πππ = 2 β 25 ππ
ππ < ππ,πππ
it is easier to remove an electron from metal rather than gas!!!
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Discharge theorems (breakdown characteristics in gases)
1. Townsend Theorem
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Townsend theorem
Electron Avalanche mechanism
Suppose a free electron exists (due to cosmic radiation or some other external effect) in a gas where an electric field exists.
If E is sufficiently high ionization by collision
(very possible)
If we apply E, free electrons are accelarated
kinetic energy
in eV
move toward the anode
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Collision
β’ This process is cumulative.
β’ The number of electrons will go on increasing as they continue to move under the action of E
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Free path law
Free Path (Ξ») Free path is the distance travelled by a particle between two collisions
- Random movements of gas atoms or molecules
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Free path law
Mean Free Path (ππππ = π ) Mean free path is the arithmetic average distance travelled by a moving particle between successice impacts.
or
Arithmetic average distance travelled by more than one particle in a certain period of time.
π = ππππ =π
πππ + ππ + β―+ ππ
n: number of collision, or number of free paths
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Free path law
Probability of a particle to travel a distance equal orgreater than Ξ»
π π = π π = πβ
ππππ£π
Probability of π β₯ 0 πβ
0
πππ£π = π0 = 1 β 100%
Probability of π β₯ πππ£π πβ
πππ£ππππ£π = πβ1 =
1
πβ 37%
Probability of π β₯ 3πππ£π πβ
3πππ£ππππ£π = πβ3 =
1
π3 β 5%
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Probability fuction
Ξ»
P(Ξ»)
P π = πβ
π
πππ£π
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Number of particles
β’ Number of initial particles: n0
β’ Number of non-colliding particles: nΞ»
ππ = π0 πβ
ππππ£π
ππ’ππππ ππ
π‘ππ‘ππ ππππ‘πππππ =
ππ’ππππ ππ πππππππππ ππππ‘πππππ
+ππ’ππππ ππ
ππππππππππππ ππππ‘πππππ
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Free paths depending on particle properties
πππ£π =1
π (π1 + π2)2 π
.π£ππ£π
π£1ππ£π2 + π£2ππ£π
2
π1: radius ofthe 1st particle
π2: radius ofthe 2nd particle
π£1ππ£π: average speed of the 1st particle
π£2ππ£π: average speed of the 2nd particle
N: number of particles in unit volume (1 cm3)
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1. Molecule β molecule collision mean free path of molecules
π1 = π2 = π
π£1ππ£π = π£2ππ£π = π£ππ£π
ππ,ππ£π =1
π (2π)2 π.
π£ππ£π
π£ππ£π2 + π£ππ£π
2
=1
4 2ππ2. π
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2. Molecule β ion collision mean free path of ion
ππππ β πππππππ’ππ β π
π£πππ > π£ππππππ’ππ β ππππππ π£ππππππ’ππ
ππ,ππ£π =1
π (2π)2 π.π£πππ
π£πππ2
=1
4ππ2. π
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3. Molecule β electron collision mean free path of electrons
ππππππ‘πππ βͺ πππππππ’ππ = π
π£πππππ‘πππ β« π£ππππππ’ππ β ππππππ π£ππππππ’ππ
ππ,ππ£π =1
π π2 π.π£πππππ‘πππ
π£πππππ‘πππ2
=1
ππ2. π
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Conclusion:
ππ,ππ£π = 4ππ,ππ£π = 4 2ππ,ππ£π
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Determination of Towndsendβs coefficients
β’ Reminder:
Due to general gas law:
π = π. π. π
Gas pressure
Boltzmanβs constant k = 1.38x10-23 J/K
Gas temperature K
Number of particles in unit volume
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For an electron
ππ,ππ£π =1
ππ2. π
ππ,ππ£π =1
ππ2.π
π. π
=π. π
ππ2. π = π(π, π)
ππ,ππ£π =1
π΄. π
π =π
π. π Substitute this
Constant!!! (if T is constant)
π. π
ππ2 =1
π΄
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Determination of Townsendβs coefficients ,
Townsendβs first ionization coefficient,
is the number of ionizing collisisons, on average, made by one electron per unit drift (1 cm) in the direction of the field.
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Townsendβs first ionization coefficient,
x = 0 x = d x
E
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Townsendβs first ionization coefficient,
πΌ = 1
ππ,ππ£π π
βππ,π
ππ,ππ£π
Number of collisions
Probability of ionization in one collisison
ππ,ππ£π =1
π΄. π
ππ,π =πππΈ
: minimum distance an electron should travel in order to ionize