Breakdown in solids, liquids and gases

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  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    MECHANISM OF BREAKDOWN IN GASES, LIQUIDS AND SOLIDS

    MECHANISM OF BREAKDOWN IN GASES

    At normal temperature and pressure, the gases

    are excellent insulators. The current conduction

    is of the order of 1010 A/cm2. This current

    conduction is due to the ionization. At higher

    fields, charged particles may gain sufficient

    energy between collisions to cause ionization

    on impact with neutral molecules

    Explanation

    Gaseous dielectrics contain free electrons which

    may be caused by irradiation or field emission

    and this can lead to a breakdown process. On

    the application of an electric field these free

    electrons are accelerated from the cathode to

    the anode. They acquire a kinetic energy (

    mv2) as they move through the field. These free

    electrons, moving towards the anode collide

    with the gas molecules present between the

    electrodes. In these collisions, part of the

    kinetic energy of the electrons is lost and part is

    transmitted to the neutral molecule. This

    molecule gains sufficient energy it may ionize

    by collision. The newly liberated electron and

    the impinging electron are then accelerated in

    the field and an electron avalanche is set up.

    Further increase in voltage results in additional

    ionizing processes. Ionization increases rapidly

    with voltage.

    Ionization can occur in any of the following

    ways:

    (i) Ionization by simple collision: When the kinetic energy of an electron ( mu), in collision with a neutral gas molecule exceeds the ionization energy of the molecule, then ionization can occur.

    M + e- ( mu) M

    + + 2 e

    -

    (ii) Ionization by Double electron impact : If a

    gas molecule is already raised to an excited

    state (with energy Ee) by a previous collision,

    then ionization of this excited molecule can

    occur by a collision with a relatively slow

    electron. This electron would need less energy

    than the ionization energy, but the energy must

    exceed the additional energy required to attain

    the ionization energy.

    (iii)Photo-ionization: This ionization by

    radiation or photons involves the interaction of

    radiation with matter. Photo ionization occurs

    when the amount of radiation energy absorbed

    by an atom or molecule exceeds its ionization

    energy and is represented as

    A + h A+ + e

    where A represents a neutral atom or molecule

    in the gas and h the photon energy.

    (iv) Electron Attachment : If a gas molecule has unoccupied energy levels in its outermost group, then a colliding electron may take up one of these levels, converting the molecule into a negative ion M-.

    M + e- M-

    (vi) Electron detachment: This occurs when a negative ion gives up its extra electron, and becomes a neutral molecule.

    M- M + e- (vi) Thermal Ionization: The term thermal

    ionization is the ionizing actions of molecular

    collisions, radiation and electron collisions

    occurring in gases at high temperatures. When

    a gas is heated to high temperature, some of

    the gas molecules acquire high kinetic energy

    and these particles after collision with neutral

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    particles ionize them and release electrons.

    These electrons and other high-velocity

    molecules in turn collide with other particles

    and release more electrons. Thus, the gas gets

    ionized.

    In short: if the applied voltage/field is large, the

    current flowing through the insulation increases

    very sharply an electrical breakdown occurs. A strongly conducting spark formed during

    breakdown practically produces a short circuit

    between the electrodes. The breakdown in a

    gas, called spark is the transition of non-

    sustaining discharge into a self-sustaining

    discharge. The build-up of high currents in a

    breakdown is due to the process known as

    ionization in which electrons and ions are

    created from neutral atoms or molecules' and

    their migration to the anode and cathode

    respectively leads to high current. There are

    two theories related to breakdown of gases

    which are of importance.

    (i) Electron Avalanche Mechanism (Townsend

    Breakdown Process)

    (ii) Streamer theory

    TOWNSEND BREAKDOWN MECHANISM:

    It is based on the generation of successive

    secondary avalanches to produce breakdown.

    Suppose a free electron exist in a gas which is

    under the influence of an electric field. If the

    field strength is sufficiently high, then it is likely

    to ionize a gas molecule by simple collision

    resulting in 2 free electrons and a positive ion.

    These 2 electrons will be able to cause further

    ionization by collision leading in general to 4

    electrons and 3 positive ions. The process is

    cumulative, and the number of free electrons

    will go on increasing as they continue to move

    under the action of the electric field. The swarm

    of electrons and positive ions produced in this

    way is called an electron avalanche. In the

    space of a few millimeters, it may grow until it

    contains many millions of electrons.

    Townsend's first ionization coefficient

    Consider a parallel plate capacitor having gas as an insulating medium and separated by a distance d.

    When no electric field is set up between the plates, a state of equilibrium exists between the state of electron and positive ion generation due to the decay processes. This state of equilibrium will be disturbed when a high electric field is applied. The variation of current as a function of voltage was studied by Townsend. He found that the current at first increased proportionally as the voltage is increased and then remains constant, at I 0 which corresponds to the saturation current. At still higher voltages, the current increases exponentially. To explain the exponential rise in current, Townsend introduced a coefficient known as Townsends first ionization coefficient and is defined as the number of electrons produced by an electron per unit length of path in the direction of field.

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    When the voltage applied across a pair of

    electrodes is increased, the current throughout

    the gap increases slowly as the electrons

    emitted from the cathode move through the

    gas. Let

    n0 = number of electrons/second emitted from the cathode,

    nx = number of electrons/second moving at a distance x from the cathode

    [nx > n0 due to ionizing collisions in gap]

    = number of ionizing collisions [Townsend's first ionization coefficient]

    1/ = average distance traversed in the field direction between ionizing collisions.

    Consider a laminar of thickness dx at a distance

    x from the cathode. The nx electrons entering

    the laminar will traverse in the presence of the

    applied field E. The ionizing collisions generated

    in the gas gap will be proportional to both dx

    and to nx. Say dnx electrons are formed due to

    collisions.

    Thus dnx nx

    Also dnx dx

    Therefore dnx = . nx . dx

    Rearranging and integrating gives

    If the anode is at a distance x = d from the

    cathode, then the number of electrons nd

    striking the anode per second is given by

    nd = n0 . ed

    In the steady state, the number of positive ions

    arriving at the cathode/second must be exactly

    equal to the number of newly formed electrons

    arriving at the anode. Thus the circuit current

    will be given by

    I = I0 . ed

    where I0 is the initial photo-electric current at

    the cathode. The term ed is called the electron

    avalanche and it represents the number of

    electrons produced by one electron in travelling

    from cathode to anode.

    Townsend's second ionization coefficient

    We have the current growth equation,

    I = I0 . ed

    Taking log on both the sides, ln I = ln I0 + d

    This is a straight line equation with slope and

    intercept (ln I0) if pressure p and E is kept

    constant as shown in fig.

    Townsend in his earlier investigations had

    observed that the current in parallel plate gap

    increased more rapidly with increase in voltage

    as compared to the one given by the above

    equation. To explain this departure from

    linearity, Townsend suggested that a second

    mechanism must be affecting the current. He

    postulated that the additional current must be

    due to the presence of positive ions and the

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    photons. The positive ions will liberate

    electrons by collision with gas molecules and by

    bombardment against the cathode. Similarly,

    the photons will also release electrons after

    collision with gas molecules and from the

    cathode after photon impact. Let

    = number of secondary electrons (on average)

    produced at the cathode per ionizing collision in

    the gap. [Townsend's second ionization

    coefficient]

    n0 = number of primary photo-electrons/second emitted from the cathode

    n0' = number of secondary electrons/second produced at the cathode

    n0" = total number of electrons/second leaving the cathode

    Then n0 = n0 + n0

    On an average, each electron leaving the

    cathode produces [ed - 1] collisions in the gap,

    giving the number of ionizing collisions/second

    in the gap as n0" (ed - 1). Thus by definition

    Similar to the case of the primary process (with

    only), we have

    Thus, in steady state, the circuit current I will be given by

    This equation describes the growth of average current in the gap before spark breakdown occurs.

    As the applied voltage increases, ed and ed increase until ed 1 , and the denominator of the circuit current expression becomes zero and the current I . In this case, the current in practice is limited only by the resistance of the power supply and the conducting gas.

    This condition may thus be defined as the breakdown and can be written as

    .(ed - 1) = 1

    This condition is known as the Townsend criteria for spark breakdown.

    When ed > 1, the ionization produced by successive avalanche is cumulative. The spark discharge grows more rapidly

    When ed < 1, the current I is not self-sustained i.e., on removal of the source the current I0 ceases to flow

    Determination of Townsend's Coefficients

    and

    Townsend's coefficients are determined in an

    ionization chamber which is first evacuated to a

    very high vacuum of the order of 10-4 and 10-6

    torr before filling with the desired gas at a

    pressure of a few torr. The applied direct

    voltage is about 2 to 10 kV, and the electrode

    system consists of a plane high voltage

    electrode and a low voltage electrode

    surrounded by a guard electrode to maintain a

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    uniform field. The low voltage electrode is

    earthed through an electrometer amplifier

    capable of measuring currents in the range 0.01

    pA to 10 nA. The cathode is irradiated using an

    ultra-violet lamp from the outside to produce

    the initiation electron. The voltage current

    characteristics are then obtained for different

    gap settings. At low voltage the current growth

    is not steady. Afterwards the steady Townsend

    process develops as shown in figure

    From the Townsend mechanism, the discharge

    current is given by

    I = I0 . ed

    This can be written in logarithmic form as

    ln I = d + ln I0

    y = m x + c

    From a graph of ln I vs d, the constants and I0

    can be determined from the gradient and the

    intercept respectively.

    Once I0 and are known, can be determined

    from points on the upward region of the curve.

    PASCHENS LAW

    When electrons and ions move through a gas in

    a uniform field E and gas pressure p, their mean

    energies attain equilibrium values dependant

    on the ratio E/p

    For a uniform field gap, the electric field E =

    V/d. Thus applying Townsend's criterion for

    spark breakdown of gases gives

    which may be written in terms of the functions

    as

    This equation shows that the breakdown

    voltage V is an implicit function of the product

    of gas pressure p and the electrode separation

    d.

    In the above derivation the effect of

    temperature on the breakdown voltage is not

    taken into account. Using the gas equation

    pressure . volume = mass. R . Temperature

    (PV=nRT)

    Or pressure = density . R . Temperature. (RT)

    Thus the correct statement of the above

    expression is V = f(.d). This shows that the

    breakdown voltage of a uniform field gap is a

    unique function of the productof gas pressure

    and the gap length for a particular gas and

    electrode material.

    This is the statement for Paschens law.

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    With very low products of (pressure x spacing),

    a minimum breakdown voltage occurs, known

    as the Paschen's minimum.

    The breakdown voltage varies linearly with the

    product pd. The variation over a large range is

    shown in fig

    (ii) STREAMER OR KANAL MECHANISM

    This type of breakdown mainly arises due to the

    added effect of the space-charge field of an

    avalanche and photo-electric ionization in the

    gas volume.

    Townsend mechanism when applied to

    breakdown at atmospheric pressure was found

    to have certain drawbacks.

    Firstly, according to the Townsend

    theory, current growth occurs as a

    result of ionization processes, only. But

    in practice, breakdown voltages were

    found to depend on the gas pressure

    and the geometry of the gap.

    Secondly, the mechanism predicts time

    lags(The time that elapses between the

    application of the voltage to a gap

    sufficient to cause breakdown) of the

    order of 10-5 s, while in actual practice

    breakdown was observed to occur at

    very short times of the order of 10-8 s

    While the Townsend mechanism

    predicts a very diffused form of

    discharge, in actual practice, discharges

    were found to be filamentary and

    irregular.

    The Townsend mechanism failed to explain all

    these observed phenomena and as a result,

    around 1940, Rather and, meek and. Loeb

    independently proposed the Streamer theory.

    The term 'Kanal' is taken from German language

    which means a canal or a channel.

    The growth of charge carriers in an avalanche in

    a uniform field is described by ed. This is valid

    only as long as the influence of the space charge

    due to ions is very small compared to the

    applied field. In his studies on the effect of

    space charge on avalanche growth, Rather

    observed that when charge concentration was

    between 106 and 108, the growth of the

    avalanche became weak. On the other hand,

    when the charge concentration was higher than

    108, the avalanche current was followed by a

    steep rise in the current between the electrodes

    leading to the breakdown of the gap.

    For simplicity, the space charge at the head of

    the avalanche is assumed to have a spherical

    volume (See fig below) containing negative

    charge at its top because of the higher electron

    mobility. The space charge produced in the

    avalanche causes sufficient distortion of the

    electric field that those free electrons move

    towards the avalanche head, and in so doing

    generate further avalanches in a process that

    rapidly becomes cumulative. As the electrons

    advance rapidly, the positive ions are left

    behind in a relatively slow-moving tail. The field

    will be enhanced in front of the head. Just

    behind the head the field between the

    electrons and the positive ions is in the opposite

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    direction to the applied field and hence the

    resultant field strength is less. Again between

    the tail and the cathode the field is enhanced.

    Due to the enhanced field between the head

    and the anode, the space charge increases,

    causing a further enhancement of the field

    around the anode. The process is very fast and

    the positive space charge extends to the

    cathode very rapidly resulting in the formation

    of a streamer. The breakdown process is shown

    below.

    Thorough experimental investigation developed

    an empirical relation for the streamer spark

    criterion of the form

    where Er is the radial field due to space charge

    and E0 is the externally applied field.

    BREAKDOWN IN LIQUID DIELECTRICS

    Liquid dielectrics are used for filling

    transformers, circuit breakers and as

    impregnates in high voltage cables and

    capacitors. For circuit breaker, again besides

    providing insulation between the live parts and

    the grounded parts, the liquid dielectric is used

    to quench the arc developed between the

    breaker contacts. The most important factors

    which affect the dielectric strength of oil are

    the, presence of fine water droplets and the

    fibrous impurities.

    Liquids which are chemically pure, structurally

    simple and do not contain any impurity even in

    traces of 1 in 109, are known as pure liquids.Eg

    Paraffin Hydrocarbons, n-Heptane.. In contrast,

    commercial liquids used as insulating liquids are

    chemically impure and contain mixtures of

    complex organic molecules.

    There are two schools of thought regarding the

    breakdown in liquids.

    The first one tries to explain the

    breakdown in liquids on a model which

    is an extension of gaseous breakdown,

    based on the avalanche ionization of

    the atoms caused by electron collision

    in the applied field. It has been

    observed that conduction in pure

    liquids at low electric field (1 kV/cm) is

    largely ionic due to dissociation of

    impurities and increases linearily with

    the field strength. At moderately high

    fields the conduction saturates but at

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    high field (electric), 100 kV/cm the

    conduction increases more rapidly and

    thus breakdown takes place. Fig. 1.11

    (a) shows the variation of current as a

    function of electric field for hexane.

    This is the condition nearer to

    breakdown.

    The type of breakdown process in pure

    liquids is called the electronic

    breakdown, involves emission of

    electrons at fields greater than

    100kV/cm.

    The second school of thought

    recognizes that the dielectric strength

    of liquid dielectrics is affected by the

    presence of foreign particles in liquid

    insulations( like gas bubbles, suspended

    particles as in commercial liquids).

    When breakdown occurs in these

    liquids, additional gases and gas

    bubbles are evolved and solid

    decomposition products are formed.

    The breakdown mechanism depends on

    the nature and condition of the

    electrodes, physical properties of the

    liquid and impurities and gases present

    in the liquid.

    The breakdown mechanism is classified

    into 4 (for commercial liquids) :

    1. Suspended Particle Mechanism

    2. Cavitation and Bubble Mechanism

    3. Thermal Mechanism

    4. Stressed oil volume theory

    ELECTRONIC BREAKDOWN (IN PURE LIQUIDS) :

    Once an electron is injected into the liquid, it

    gains energy from the electric field applied

    between the electrodes. It is presumed that

    some electrons will gain more energy due to

    field than they would lose during collision.

    These electrons are accelerated under the

    electric field and would gain sufficient energy to

    knock out an electron and thus initiate the

    process of avalanche. The threshold condition

    for the beginning of avalanche is achieved when

    the energy gained by the electron equals the

    energy lost during ionization (electron emission)

    and is given by

    e E = C.hv

    where is the mean free path, hv is the energy

    of ionization and C is a constant

    1.SUSPENDED SOLID PARTICLE MECHANISM

    Commercial liquids will always contain solid

    impurities either as fibers or as dispersed solid

    particles. The permittivity of these solids (1)

    will always be different from that of the liquid

    (2).

    Let us assume these particles to be sphere of

    radius r. These particles get polarized (acquire

    polarity) in an electric field E and experience a

    force which is given as

    The force will tend the particle to move towards

    the strongest region of the field. If the particles

    present are large, they become aligned due to

    these forces and form a bridge across the gap.

    The field in the liquid between the gap will

    increase and if it reaches critical value,

    breakdown will take place.

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    If the number of particles is not sufficient to

    bridge the gap, the particles will give rise to

    local field enhancement and if the field exceeds

    the dielectric strength of liquid, local

    breakdown will occur near the particles and

    thus will result in the formation of gas bubbles

    which have much less dielectric strength and

    hence finally lead to the breakdown of the

    liquid.

    Liquids with solid impurities have lower

    dielectric strength as compared to its pure

    form. The larger the size of the particle impurity

    the lower is the overall dielectric strength of the

    liquid.

    2. CAVITATION AND BUBBLE MECHANISM:

    The dielectric strength of liquid depends upon

    the hydrostatic pressure above the gap length.

    The higher the hydrostatic pressure, the higher

    the electric strength.

    The smaller the head of liquid, the more are the

    chances of partially ionized gases coming out of

    the gap and higher the chances of breakdown.

    This means a kind of vapour bubble formed is

    responsible for the breakdown. The following

    processes lead to formation of bubbles in the

    liquids:

    a) Gas pockets on the surface of

    electrodes.

    b) Changes in temperature and pressure.

    c) Gaseous products due to the

    dissociation of liquid molecules by

    electron collisions.

    d) Vapourization of the liquid by corona

    type discharge due to irregular surface

    of electrodes.

    The bubble will elongate in the direction of the

    electric field under the influence of electrostatic

    forces. When the field Eb equals the gaseous

    ionization field, discharge takes place which will

    lead to decomposition of liquid and breakdown

    occurs. An expression for the breakdown

    field/bubble breakdown strength is given as

    o is the surface tension of the liquid,

    o E0 is the field in the liquid in absence of

    the bubble.

    o 2 and 1 are the permittivities of the

    liquid and bubble respectively,

    o r - the initial radius of the bubble

    o Vb- the voltage drop in the bubble.

    This theory does not take into account the

    production of the initial bubble and hence the

    results given by this theory do not agree well

    with the experimental result.

    3. THERMAL BREAKDOWN:

    Extremely large currents are produced just

    before breakdown. The high current pulses

    originate from the tips of the microscopic

    projections on the cathode surface with

    densities of the order of 1 A/cm3. These high

    density current pulses give rise to localized

    heating of the oil which may lead to the

    formation of vapour bubbles.

    When a bubble is formed, breakdown follows,

    either because of its elongation to a critical size

    or when it completely bridges the gap between

    the electrodes. In either case it will result in the

    formation of a spark. The breakdown strength

    depends on the pressure and the molecular

    structure of the liquid. The theory doesnt

    explain the reduction in breakdown strength

    with increased gap length.

    4. STRESSED OIL VOLUME THEORY:

    In commercial liquids where minute traces of

    impurities are present, the breakdown strength

    is determined by the largest possible impurity

    or weak link. The electrical breakdown

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    strength of the oil is defined by the weakest

    region in the oil, that is, the region which is

    stressed to the maximum and by the volume of

    oil included in that region. In non-uniform

    fields, the stressed oil volume is taken as the

    volume which is contained between the

    maximum stress contour (Emax) and (0.9 Emax)

    contour. According to this theory the

    breakdown strength is inversely proportional to

    the stressed oil volume.

    The breakdown voltage is highly influenced by

    the gas content in the oil, the viscosity of the

    oil, and the presence of other impurities. These

    being uniformly distributed, increase in the

    stressed oil volume consequently results in a

    reduction in the breakdown voltage. The

    variation of the breakdown voltage stress with

    the stressed oil volume is shown in fig below

    BREAKDOWN IN SOLID DIELECTRICS

    Solid insulating materials are used almost in all

    electrical equipments, be it an electric heater or

    a 500 MW generator or a circuit breaker, solid

    insulation forms an integral part of all electrical

    equipments especially when the operating

    voltages are high. When breakdown occurs the

    gases regain their dielectric strength very fast,

    the liquids regain partially and solid dielectrics

    lose their strength completely. The breakdown

    of solid dielectrics not only depends upon the

    magnitude of voltage applied but also it is a

    function of time for which the voltage is

    applied. the product of the breakdown voltage

    and the log of the time required for breakdown

    is almost a constant, i.e.

    Vb.ln tb = constant

    The various mechanisms of break down are

    classified based on the time scale of voltage

    application.

    The various mechanisms are:

    1. Intrinsic Breakdown

    2. Electromechanical Breakdown

    3. Breakdown due to Treeing and Tracking

    4. Thermal Breakdown

    5. Electrochemical Breakdown

    6. Chemical deterioration

    1. INTRINSIC BREAKDOWN:

    If the voltage is applied for a very short time of

    the order of 108 second, the dielectric strength

    of the specimen increases rapidly to an upper

    limit known as intrinsic dielectric strength. The

    intrinsic strength, therefore, depends mainly

    upon the structure of the material and

    temperature. The stresses required are of the

    order of 5-10 million volt/cm.

    Intrinsic breakdown depends upon the

    presence of free electron which is capable of

    migration through the lattice of the dielectric.

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    Usually small numbers of conduction electrons

    are present, with some structural imperfections

    and small amounts of impurities. The impurity

    atoms or molecules act as traps for the

    conduction electrons up to certain ranges of

    electric fields and temperatures. When these

    ranges are exceeded, additional electrons are

    trapped and released which participate in the

    conduction process.

    There are two types of intrinsic breakdown

    mechanisms:

    i. Electronic breakdown:

    The intrinsic breakdown is obtained in times

    of the order of 108 sec and therefore is

    considered to be electronic in nature. The

    intrinsic strength is generally assumed to have

    been reached when electrons in the valance

    band gain sufficient energy from the electric

    field to cross the forbidden energy band to the

    conduction band. As an electric field is applied,

    the electrons gain energy and due to collisions

    between them the energy is shared by all

    electrons. Finally the temperature of electrons

    will exceed the lattice temperature and this will

    result into increase in the number of trapped

    electrons reaching the conduction band and

    finally leading to complete breakdown.

    ii. Avalanche or streamer breakdown:

    This is similar to breakdown in gases due to cumulative ionization. Conduction electrons gain sufficient energy above a certain critical electric field and cause liberation of electrons from the lattice atom by collisions.

    The electrons moving from cathode to anode will gain energy from the field and losses it during collisions. When the energy gained by an electron exceeds the ionization potential, an additional electron will be liberated due to collision of the first electron. This process repeats itself resulting in the formation of an electron avalanche, and breakdown will occur

    when the avalanche exceeds a certain critical value. In practice, breakdown does not occur by the formation of a single avalanche, but occurs as a result of many avalanches formed and extending step by step through the entire thickness of the material.

    2. ELECTROMECHANICAL BREAKDOWN: When a dielectric material is subjected to an electric field, charges of opposite nature are induced on the two opposite surfaces of the material and hence a force of attraction is developed and the specimens is subjected to electrostatic compressive forces and when these forces exceed the mechanical withstand strength of the material, the material collapses. If the initial thickness of the material is d0 and is compressed to a thickness d under the applied voltage V then the compressive stress developed due to electric field is

    where r is the relative permittivity of the specimen. If is the Youngs modulus, the mechanical compressive strength is

    Equating the two under equilibrium condition, we have

    On differentiating the above equation w.r.t d and then solving we get

    For any real value of voltage V, the reduction in thickness of the specimen cannot be more than 40%. If the ratio V/d is less than the intrinsic strength of the specimen, a further increase in V shall make the thickness unstable and the specimen collapses. The highest apparent stress is obtained as

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    3.BREAKDOWN DUE TO TREEING AND

    TRACKING (SURFACE BREAKDOWN)

    Treeing : The strength of a chain is given by the

    strength of the weakest link in the chain.

    Similarly whenever a solid material has some

    impurities in terms of some gas pockets or

    liquid pockets in it the dielectric strength of the

    solid will be more or less equal to the strength

    of the weakest impurities.

    Suppose some gas pockets are trapped in a

    solid material during manufacture, the gas has a

    relative permittivity of unity and the solid

    material r, the electric field in the gas will be r

    times the field in the solid material. As a result,

    the gas breaks down at a relatively lower

    voltage. The charge concentration here in the

    void will make the field more non-uniform. The

    charge concentration in such voids is found to

    be quite large to give fields of the order of 10

    MV/cm which is higher than even the intrinsic

    breakdown.

    These charge concentrations at the voids within

    the dielectric lead to breakdown step by step

    and finally lead to complete rupture of the

    dielectric. Since the breakdown is not caused by

    a single discharge channel and assumes a tree

    like structure as shown in fig below, it is known

    as breakdown due to treeing.

    Treeing occurs due to the erosion of material at

    the tips of the spark and results the roughening

    of the surface and becomes dirt and

    contamination. Breakdown channels spread

    through the insulation in an irregular tree and

    leading to the formation of conducting channel.

    Tracking: Suppose we have two electrodes

    separated by an insulating material and the

    assembly is placed in an outdoor environment.

    Some contaminants in the form of moisture or

    dust particles will get deposited on the surface

    of the insulation and leakage current starts

    between the electrodes through the

    contaminants. The current heats the moisture

    and causes breaks in the moisture films. These

    small films then act as electrodes and sparks are

    drawn between the films. The sparks cause

    carbonization and volatilization of the insulation

    and lead to formation of permanent carbon

    tracks on the surface of insulations.

    Thus, tracking is the formation of a permanent

    conducting path usually carbon across the

    surface of insulation. The conduction (carbon

    path) results from degradation of the insulation

    itself leading to a bridge between the

    electrodes.

    For tracking to occur, the insulating material must contain organic substances. The rate of tracking can be slowed down by adding filters to the polymers which inhibit carbonization. Usually tracking occurs even at very low voltages, whereas treeing requires high voltage. The numerical value of voltage that initiates or causes the formation of a track is called the tracking index and this is used to qualify the surface properties of dielectric material. Treeing can be prevented by having clean, dry and undamaged surfaces and clean environment. Usually treeing phenomena is observed in capacitors and cables. 4. THERMAL BREAKDOWN:

    When an insulating material is subjected to an electric field, the material gets heated up due to conduction current and dielectric losses due to polarization. The conductivity of the material increases with increase in temperature and a

  • AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    AJITH VIJAYAN, ASST PROFESSOR, EEE DEPT., GEC WAYANAD

    condition of instability is reached when the heat generated exceeds the heat dissipated by the material and the material breaks down.

    In practice, although the heat lost may be considered somewhat linear, the heat generated increases rapidly with temperature, and at certain values of electric field no stable state exists where the heat lost is equal to the heat generated so that the material breaks down thermally.

    The variation of heat generated by a device for 2 different applied fields and the heat lost from the device with temperature is shown below.

    For the field E2, a stable temperature A exists. For the field E1, the heat generated is always greater than the heat lost so that the temperature would keep increasing until breakdown occurs.

    Heat generated is proportional to the frequency and hence thermal breakdown is more serious at high frequency. Thermal breakdown stresses (MV/cm) are lower under a.c. condition then under d.c.

    5.Electrochemical breakdown:

    Whenever cavities are formed in solid

    dielectrics, the dielectric strength in the

    specimen decreases. Some of the electrons

    dashing against the anode with sufficient

    energy shall break the chemical bonds of the

    insulation surface. Similarly, positive ions

    bombarding against the cathode may increase

    the surface temperature and produce local

    thermal instability. Similarly, chemical

    degradation may also occur from the active

    discharge products e.g., O3, NO2 etc. formed in

    air. The net effect of all these processes is a

    slow erosion of the material and a consequent

    reduction in the thickness of the specimen.

    6. Chemical deterioration :

    Progressive chemical degradation of insulating

    materials can occur in the absence of electric

    stress from a number of causes.

    a) Oxidation: In the presence of air or oxygen,

    especially ozone, materials such as rubber

    and polyethylene undergo oxidation giving

    rise to surface cracks, particularly if

    stretched and exposed to light. Polythene

    also oxidizes in strong day light unless

    protected by opaque filler.

    b) Hydrolysis : When moisture or water

    vapour is present on the surface of a solid

    dielectric, hydrolysis occurs and the

    materials lose their electrical and

    mechanical properties. Electrical properties

    of materials such as paper, cotton tape,

    and other cellulose materials deteriorate

    very rapidly due to hydrolysis. Polyethylene

    film may lose its mechanical strength in a

    few days if kept at 100 % relative humidity.

    c) Chemical Instability: Many insulating

    materials, especially organic materials,

    show chemical instability. Under normal

    operating conditions, this process is very

    slow, but the process is strongly

    temperature dependant. The logarithm of

    the life t of paper insulation can be

    expressed as an inverse function of the

    absolute temperature .

    log10 t = A/ + B

    where A & B are constants.