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    "Mitigation Phenomena Of Switching

    Transients And Ferroresonance Problem

    In The Electrical Power System Network"

    Submitted

    in partial fulfilment

    for the award of the Degree of

    Master of Technology

    I n

    Branch (Electri cal)

    (with specialization in power systems)

    Session: 20122013

    Advisor: Submitted by:

    (Advisors name) (Rashmi Sharma)

    Enrollment number

    Faculty of Engineering

    Department of .

    Pacific University (PAHER), Udaipur (Rajasthan)

    Month

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    AFFIDAVIT

    I hereby certify that the work which is being presented in the M. Tech Dissertation entitled

    Topic in partial fulfilment of the requirements for the award of the Master of

    Technology in power systems and submitted to the Department of Electrical Engineering,

    Faculty of Engineering, Pacific University (PAHER), Udaipur is an authentic record of my

    own work carried out during a period from Feb 2012 to october 2013 under the supervision

    of Guides Name, Advisor, Pacific University, Udaipur.

    The matter presented in this thesis has not been submitted by me for the

    award of any other degree elsewhere.

    Signature of candidate

    (Rashmi Sharma)

    M Tech,Electrical

    Enrolment No.:

    This is to certify that the above statement made by the candidate is correct to

    the best of my knowledge.

    Head signature of supervisor

    Supervisor name

    supervisor

    Department of ------ ii

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    ACKNOWLEDGEMENT

    I am deeply indebted to Pacific University for giving me an opportunity to work on thesis

    Mitigation Phenomena Of SwitchingTransients And Ferroresonance Problem In

    The Electrical Power System Network and also for their invaluable guidance and

    patience with me. I would like to thank Dean FOE Prof. R K Aeron for his valuable

    suggestions.

    I profusely thank Mr Naveen Sen Head, Department of Computer Science & Engineering,

    Faculty of Engineering, Pacific University (PAHER), Udaipur for providing me all the

    facilities and the very best technical and support infrastructure to carry on my work.

    I would like to thank Guides Name (Advisor) for his support and cooperation in preparing

    the thesis topic of research and guiding me. I thank him again for the valuable inputs and

    providing me his valuable time for starting the thesis work.

    I would like to thank all the user and Colleagues who extended help directly or indirectly

    during my thesis. I acknowledge the effort of those who have contributed significantly to

    my thesis and last but not the least I would like to thank all my M. Tech friends for their

    continuous support and cooperation. I would like to take this opportunity to express my

    profound sense of gratitude and respect to all those who helped me throughout the duration

    of this thesis.

    Yours Sincerely

    Rashmi Sharma

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    Abstract

    Over the last decades, power disturbances have become an important factor on the increase

    throughout electrical networks. It is worth mentioning switching transients and

    ferroresonance in the network. Ferroresonance is a special case of resonance involving

    non-linear inductances that mainly affects the functionality of transformers and it is

    originate from the switching transients. Little is known about this complex phenomenon as

    it is rare and cannot be analysed or predicted by the computation methods, its analysis is

    done by computer simulations.

    Switching transients and ferroresonance phenomena were simulated in PSCAD soft- ware

    to study its effect. Simulation of Switching transients with Energization of transmission

    line with and without trapped charges, analyse TRV/RRRV for fault conditions andinductive current switching overvoltage to check this overvoltages are within BIL limits or

    not with as per standards..

    Another case of ferroresonance can be simulated with single phase switching and with

    grading capacitance of circuit breakers. This simulation also include ferroreso- nance

    overvoltage mitigation with the help of reactor connected in tertiary winding. Also,

    simulated a real case of traction system where the potential transformers were failed

    because of overvoltages due to ferroresonance, simulated case to check ferroresonance

    condition.

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    CONTENTS

    Affidavitii

    Acknowledgementiii

    Abstract iv

    Table of contents:

    Chapter 1

    Introduction

    Overview..1

    1.1 OBJECTIVE OF PROJECT . . . . . . . . . . . . . . . . . . . . . . 3

    1.2 PLANNING OF THE PROJECT . . . . . . . . . . . . . . . . . . . . 3

    Chapter 2Review of literature4

    Chapter 3

    Materials And Methods adopted.7

    -Transients and Overvoltages in Power System. 7

    -Phenomena involved in switching study.10

    -Insulation Coordination..17

    - Introduction to Ferroresonance.18

    Introduction of Magnetic Material . . . . . . . . . . . . . . . . . . . . 18

    Ferromagnetism. . . . . . . . . . . . . . . . . . . . . . . . . 19

    Resonance Phenomenon: . . . . . . . 19

    Ferroresonance Phenomenon: . . . . . . . . . . . . . . . . . . . . . . . 21

    Characteristics of Ferroresonance: . . . . . . . . . . . . 21

    Voltage, Flux, Current Relationship during Ferroresonance: . . . . . . . . . . . . . . . . . 23

    Classification of Ferroresonance Modes: . . . . . . . . . . . . . . . . . 25

    Features of ferroresonance.28

    Conditions favourable for ferroresonance.28

    General methods to prevent ferroresonance28

    Case study of transmission line..29

    Ferroresonance Case Studies30

    Result and discussion..32

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    Conclusion..49

    Future scope..50

    Refrences51

    VI

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    Abbreviation

    BIL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .Basic Insulation Level

    CVT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . Capacitor Voltage Transformer

    EHV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Extra High Voltage

    IEC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .International Electrotechnical Commission

    HVDC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . High Voltage Direct Current

    L-G . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Line to ground

    PSCAD . . . . . . . . . . . . . . . . . . . . . . . .. . . . Power System Computer Aided Design

    pf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .. . . . . . . . . . . pica farad

    RRRV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Rate of Rise of Restriking voltage

    TRV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . .Transient Recovery Voltage

    VII

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    Chapter 1

    INTRODUCTION

    Overview

    Transient is an event in which a new path for current is created or an existing path

    eliminated including faults, circuit breaker operation and lightning strikes. It is basically

    momentary changes in voltage and current that occurs over a short circuit period of time.

    Two types of transient impulsive and oscillatory. Lightning and switching are the sources

    of transient.In electrical engineering, oscillation is an effect caused by a transient

    response of a circuit or system. It is a momentary event preceding the steady state

    (electronics) during a sudden change of a circuit.

    Mathematically, it can be modelled as a damped harmonic oscillator.

    An example of transient oscillation can be found in digital (pulse) signals in computer

    networks. Each pulse produces two transients, an oscillation resulting from the sudden rise

    in voltage and another oscillation from the sudden drop in voltage. This is generally

    considered an undesirable effect as it introduces variations in the high and low voltages of

    a signal, causing instability.

    In general, relays operate in the event of a fault by closing a set of contacts. This results in

    the closure of a trip-coil circuit in the circuit breaker which then disconnects the fault. The

    presence of the fault is detected by current transformers, voltage transformers or bimetal

    strips. This process is similar to turning a switch on and off.

    Although fuse and protection relays are a necessary safety component, both fuse and

    protection relays generate switching transients when the relays/breakers are turned on and

    off. A typical switching transient can create voltage peaks up to 20kV with a duration of10-100usec. This can cause arcing faults and static discharge. A typical industrial facility

    will use hundreds of fuse and protection relays most of which are turned on and off several

    times each day. This translates into multiple switching transients each day and some are

    large enough in magnitude to cause load failure.

    Ferroresonance is an oscillating phenomena occurring in an electric circuit which must

    contain at least:

    a. a non-linear inductance (ferromagnetic and saturable),

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    b. a capacitor,

    c. a voltage source (generally sinusoidal),

    d. low losses.

    Power system contain large number of inductances and capacitance in the network. This

    Capacitance comes from protective elements (circuit breaker grading capacitance), power

    transmission elements (conductor to earth capacitance, cables capacitance, bus capacitance,

    coupling between double circuit lines, capacitor banks), isolation elements (bushing

    capacitance), measurement elements (capacitive voltage transformers)

    The saturable inductance from Transformer iron core saturation, Residual fluxes in

    transformer core. The Low losses from Low value resistance (low loss transformer, unload

    transformer low circuit losses). The main feature of thisphenomenon is that more than one

    stable steady state response is possible for the same set of the network parameters.

    Transients, lightningovervoltage, energizing or re-energizing transformers or loads,

    occurrence or removal of faults, initial conditions of the system, transformer iron core

    saturation characteristic, residual fluxes in the transformer core, etc. may initiate

    ferroresonance. The response can suddenly jump from one normal steady state response

    (sinusoidal at the same frequency as the source) to an another ferroresonant steady state

    response characterized by high sustain over voltages and harmonic levels which can lead to

    serious damage to the equipment.

    Ferroresonance or nonlinear resonance is a type of resonance in electrical circuits which

    occurs when a circuit containing a nonlinear inductance is fed from a source that has

    series capacitance, and the circuit is subjected to a disturbance such as opening of a

    switch. It can cause overvoltage and overcurrents in an electrical power system and can

    pose a risk to transmission and distribution equipment and to operational personnel.

    Ferroresonance should not be confused with linear resonance that occurs when inductive

    and capacitive reactance of a circuit are equal. In linear resonance the current and voltage

    are linearly related in a manner which is frequency dependent. In the case of

    ferroresonance it is characterised by a sudden jump of voltage or current from one stable

    operating state to another one. The relationship between voltage and current is dependent

    not only on

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    frequency but also on a number of other factors such as the system voltage magnitude,

    initial magnetic flux condition of transformer iron core, the total loss in the ferroresonant

    circuit and the point on wave of initial switching.

    1.1 OBJECTIVE OF PROJECT

    The switching transient analysis is primarily important in insulation co-ordination for EHV

    network and it helps to reduce the damage to the equipment by checking the equipment

    BIL is within limit or not. This switching transients can be suppressed by:

    a. Pre insertion Resistor of circuit breaker

    b. Controlled closing of circuit breaker

    c. Surge arrestorFerroresonance is nonlinear phenomenon which occurs due to ferromagnetic material

    which have nonlinear characteristics, and so it occurs between nonlinear inductance and

    capacitance that affect power networks. This creates large over voltage that damage the

    system. So, the main objective is to prevent the consequences of ferroresonance. Hence it

    is necessary to:-

    a. Understand the phenomenon

    b. Predict it

    c. Identify it and

    d. Eliminate it.

    1.2 PLANNING OF THE PROJECT

    PSCAD/EMTDC simulation tool being used in this project work to analyses the

    Ferroresonance behaviour.

    Simulation switching phenomenon in PSCA

    Creates ferroresonance case study using PSCAD. BY:

    a. Simulations with presence of capacitance and non-linear inductances.

    b. Single phase switching of breaker.

    c. Lightly loaded system components i.e. Transformer.

    Method to prevent ferroresonance.

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    Chapter 2

    REVIEW OF LITERATURE

    Reference [1] Government of India, Ministry of Power, Central Electricity Authority, says

    that standard voltage limits of temporary and transient over voltages and also provides

    standard data for transmission planning studies for different conductors and also provides

    planning philosophy for the transmission line.[1].

    Reference [2] Modelling Guideline For Slow Transients Report Prepared by , IEEE

    Modelling and Analysis of System Transients Working Groupprovides guideline about

    slow transients due to witch it occurs[2].An interconnected power system can

    experience undesirableoscillations and transients as a result of small-signal

    perturbations, large -signal di sturbances , and nonl ine ar charac ter ist ics of the

    system components. The oscillations cover a wide frequency range

    approximately from 0.01 Hz to 50 MHz Oscillations in the frequency range of

    0.01 to 1000 Hz are definedin this report as low-frequency (slow) transients.

    Reference [3] and Reference [4] provides guideline about the fast and Very fast transient in

    witch conditions it occurs and also provides guideline to modelling the equipment

    same[3][4]. The fast front transients in power systems cover a frequency range from 10

    kHz up to 1 MHz One of the primary causes of such transients is the lightning strokes to

    the transmission lines and associated backflashovers. The objective of this task force is to

    develop modeling guidelines for the digital simulations involving fast front waveforms.An

    accurate representation of each component of a system isessential for a reliable simulation

    of its transient performance. This representation must be done taking into account the

    frequency range of the transients to be simulated. Very Fast Transients (VFT) belong to the

    highest frequency range of transients in power systems. Component models to be used in

    VFT simulations must be suitable for frequencies varying from 100 kHz up to 50 MHzReference [5] provides basic definitions, principles and rules regarding insulation

    coordination switching transients and overvoltages. Also provides standard withstand

    voltages for example standard short duration power frequency withstand voltages, standard

    impulse withstand voltages, standard impulse voltages for different insulations for example

    phase to earth insulation and phase to phase insulation.[5]. Electric power supply should

    ensure reliability and continuity to the utility concerns.Hence, the power lines and sub-

    stations are to be operated and protected against overvoltages such that the number of

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    failures are as few as possible. At the same time, the cost involved in the design,

    installation, and operation of the protective devices should not be too high. Hence, a

    gradation of system insulation and protective device operation is to be followed, keeping in

    view the importance of the various equipment involved.

    Generally, sub-stations contain transformers, switchgear, and other valuable equipment

    with non-self restoring insulation, which have to be protected against failures and internal

    destruction. For other apparatus, which contain self-restoring insulation, like string

    insulators, they may be allowed to flashover in air. But the flashovers should be kept to a

    minimum so that the system disturbances are the least. Hence, lightning and switching

    surge protection requires establishment of protectivevoltage levels called shunt protection

    levels, by means of protective devices like lightning arresters. The lightning impulse

    withstand level known as the Basic Impulse Level (BEL) is established for each system

    nominal voltage for different apparatus. Various equipment and their component parts

    should have their BIL above the system protective level, by a suitable margin. This margin

    is usually determined with respect to air insulation by statistical methods. For non self-

    restoring insulation like the transformer insulation, the margin limit is fixed using

    conventional methods.

    For system voltages below 400 kV, the switching surges are not of importance. If the BIL

    is chosen correctly, relative to the prevailing protective level, the equipment will have an

    adequate switching surge level.

    Reference [6] and Reference [7] provides basic theory of transients in the power system.

    [6][7]transient originates from electric circuittheory where it denotes the voltage and

    current component that occurs during the transition from one (typically sinusoidal) steady-

    state to another steady-state. Electric circuits are described by means of differential

    equations, whose solutions are the sum of a homogenous solution and a particular solution.

    The particular solution corresponds with the steady-state; the homogeneous solution

    corresponds with the transient. In electric circuit theory a transient is always associated

    with a change in steady state due to a switching action. In power systems the term transient

    is used in a slightly different way: it denotes those phenomena in voltage and current with

    a short duration. There is no clear limit, but phenomenawith a duration of less than one

    cycle (of the power-system frequency,50 or 60 Hz) are generally referred to as transients.

    The interest in power system transients has traditionally been related to the correct

    operation

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    of circuit breakers [1], [2] andto overvoltages due to switching of high-voltage lines

    Reference [8] provides basics of overvoltages that occurs in the power system in detail and

    basics of insulation co-ordination between surge arrester and equipment in the power

    system network.[8].

    Reference[9] provides basic theory and equations related to TRV/RRRV [9].A transient

    recovery voltage (or TRV) for high-voltage circuit breakers is the voltage that appears

    across the terminals after current interruption. It is a critical parameter for fault interruption

    by a high-voltage circuit breaker, its characteristics (amplitude, rate of rise) can lead either

    to a successful current interruption or to a failure (called reignition or restrike).

    The TRV is dependent on the characteristics of the system connected on both terminals of

    the circuit-breaker, and on the type of fault that this circuit breaker has to interrupt (single,

    double or three-phase faults, grounded or ungrounded fault).

    As soon as the contacts separate out an arc is formed. The voltage across the contacts

    during the arcing period is known as the arc voltage and is relatively low with heavy

    current arcs of short length. At current zero it rises rapidly to the peak value since a short

    circuit current is almost 90 lagging.

    The translate voltage appearing across the contacts at current zero during arc period is

    called the restriking voltage. This voltage will probably restrike the arc so that it persists

    for another half cycle.

    Reference[10] provides standard values for TRV and RRRV. [10].

    Reference [11] provides theory and equations related to reactor switching[11].

    Reference [12] includes the basic concept of transients in the power system and basic

    characteristics of resonance and ferroresonance in the power system. [12]

    Reference [13] It present one case of ferroresonance due to double circuit line and its

    remedy and also detail discussion about ferroresonance occurs particularly for this

    case.[13].

    Reference[14] provides description the basics of ferroresonance, credible predictionand

    evaluation of the rise of ferroresonance, examples of ferroresonance conditions and

    practical solutions to avoid the ferroresonance[14]

    Reference[15] provides guideline of mitigating the ferroresonance.[15].

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    Chapter 3

    MATERIALS AND METHODS ADOPTED

    Transients and Overvoltages in Power System

    Transients in power system:

    It is short duration overvoltage of few milliseconds or less, oscillatory or non-oscillatory

    usually highly damped phenomenon. It is classified according to is frequency range is

    given below:

    a. Switching Transient

    b. Slow Transient

    c. Fast Front Transient

    d. Very Fast Front Transient

    a. Transients in power system:

    As per the classic definition is concerned, an instantaneous change in the state leading to a

    burst of energy for a limited time is termed as a transient event. The causes can be both

    external and internal, with the aftermath being sequential and affecting the other parts too.

    As per classification, we have the impulsive and oscillatory transients. There is a further 3

    tier subdivision of impulsive and oscillatory transients.

    It occurs in Frequency range of fundamental power frequency to 10KHz occurs due to the

    various power system components such as transmission lines, cables, transformers, source

    equivalents, loads and circuit breakers. Switching overvoltage is proportional to the

    operating voltage. It is important above 400KV level

    b. Slow Transient:

    It occurs in Frequency Range of 0.01Hz to 1000HZ. It occurs due to Torsional oscillations

    (5 to 120 Hz), Transient torsional torques (5 to 120 Hz), and Fastbus transfer (1 to 1000

    Hz), Controller interactions (10 to 30 Hz), Harmonic interactions and resonances (60 to

    600 Hz), ferroresonance (1 to 1000 Hz).

    c. Fast Front Transient:

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    It occurs in Frequency Range of10 KHz to 1MHz. It occurs due to lightning surge. The

    lightning overvoltages are caused by either shielding failures or back flashovers of the

    tower insulation on the transmission lines. These overvoltages will provide the data

    required for detailed arrester specifications. Then, the insulation levels (i.e., BIL) of thesubstation equipment can be coordinated with the protective level of the arresters.

    The objectives of these studies:

    (1) To characterize the magnitude of the lightning overvoltages for insulation

    requirements, and/or to find the critical lightning stroke current that causes insulation

    flashovers.

    (2) Determine transmission or distribution Line Flashover Rates (LFOR).

    (3) Establish line arrester application guidelines.

    (4) Find optimum location for surge arresters for lightning surge protection.

    (5) Determine minimum phase-to-ground and phase to- phase clearances

    (6) Calculate Mean Time Between Failure (MTBF) for the substation.

    (7) Determine optimum location of capacitances to reduce steepness of surges.

    d. Very Fast Front Transient:

    It occurs in Frequency Range of 100 KHz to 50MHz. This transients typically occur in the

    gas insulated substations (GIS) any time there is an instantaneous change in voltage. Most

    often this change occurs as the result of the opening or closing of a disconnect switch,

    operation of a circuit breaker, the closing of a grounding switch, or the occurrence of a

    fault, can also cause VFT.

    These transients generally have a very short rise time, in the range of 4 to 100 ns, and are

    normally followed by oscillations having frequencies in the range of

    1 to 50 MHz. Their magnitude is in the range of 1.5 to 2.0 per unit of the line-to-neutral

    voltage peak, but they can also reach values as high as 2.5 per unit. These values are

    generally below the BIL of the GIS and connected equipment of lower voltage classes.

    Overvoltage: It is defined as any voltage between one phase conductor and earth or across

    a longitudinal insulation having a peak value exceeding the peak of the highest voltage of

    the system which is:

    Highestvoltage = supplyvoltage *

    (3.1)

    or - between phase conductors having a peak value exceeding the amplitude of thehighest

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    voltage of the system.

    a. Continuous power-frequency voltage:

    A power-frequency voltage with r.m.s. value equal to the highest voltage of the system,

    and with duration corresponding to the lifetime of the equipment. Power-frequency

    voltage, considered having constant r.m.s. value, continuously applied to any pair of

    terminals of an insulation configuration.

    b. Temporary overvoltage:

    Power frequency overvoltage of relatively long duration which occurs due tosudden load

    rejection and single phase to ground fault. For example Temporary Over voltage: 400 kV

    system = 1.5pu peak phase to neutral (1pu=343kV). With power frequency voltage with

    r.m.s. value equal to the assumed maximum of the temporary overvoltages divided by 2.

    c. Transient overvoltage:

    Short-duration overvoltage of few milliseconds or less oscillatory or non-oscillatory,

    usually highly damped generated by the switching of transmission line or transformer. For

    example FOR 400kV= 2.5pu peak phase to neutral.

    Switching Study:

    Transients in power system:

    Insulation Co-ordination to determine overvoltage stress on the equipment.

    Determining energy of arrester.

    Determining the TRV across circuit breaker.

    Determining effectiveness of transient mitigation device. For Example: pre

    insertion Resistor, Inductor, controlled closing device etc.

    Switching operation is originate in the system itself by the:

    De-energization of transmission line, cable, shunt capacitor, capacitor banks.

    Disconnection of unloaded transformer, reactor.

    Sudden shutting off of loads.

    Short circuit and fault clearing.

    Resonance phenomenon like ferroresonance.

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    Switching over voltage reduced by the following:

    Line energization by pre-insertion Resistance.

    Point on wave switching.

    Limits the over voltage by using surge arresters.

    Phenomenon Involve In Switching Study:

    Travelling Wave Phenomenon: A travelling wave on a transmission line is a transient

    disturbance that that moves along the line at a constant speed yet maintains its shape When

    fault occurs or breaker reclose in overhead transmission lines systems, the abrupt changes

    in voltage and current at the pointof the fault generate high frequency electromagnetic

    impulses called traveling waves which propagate along the transmission line in both

    directions away from the fault point. Surge

    Impedance of the line is

    =

    Zn (3.2)

    It is purely a characteristic of the transmission line. The value of this impedance is about

    400 for overhead transmission line and 40 for cables. When they reach the other end of the

    lines or whenever they see a change in the impedance (impedance other than characteristic

    impedance of the line).

    Open End Line:

    When line is the open at receiving end where the wave is going to see a change in

    impedance other than the characteristic impedance which is infinite. Current at the open

    end is zero, the electromagnetic energy vanishes and is transformed into electrostatic

    energy.This means the potential of the open end is raised by V volts; therefore, thetotalpotential of the open end when the wave reaches this end is: V+V=2V. The wavethat

    starts travelling over the line when the switch S is closed, could be consideredthe incident

    wave and after the wave reaches the open end, the rise in potentialV could be considered

    due to a wave which is reflected at the open end and actualvoltage at the open end could be

    considered as the refracted or transmitted wave and is thus incident wave + reflected wave

    = refracted wave.We have seen that for an open end line a travelling wave is reflected back

    with positive sign

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    and coefficient of reflection as unity. At that time the current at the receiving end is zero so

    the current is reflected by its negative sign. After the voltage and current waves are

    reflected back from the open end, they reach the source end, thevoltage over the line

    becomes 2V and the current is zero.

    Figure 3.1: voltage and current in case of open end line

    Short Circuited Line:

    When line is the short circuited at the receiving endwherethe wave is going to see change

    in impedance other than the characteristic impedance which is zero. Voltage at short end is

    zero so the electrostatic energy is converted to the electromagnetic energy. This means

    current at short circuited end is raised by I amperes. So the total current at the short end is

    I+I=2I. At thattime the voltage at the receiving end is zero so itreflected by its negative

    sign. So at the source end the current value is 2I and the voltage value is zero.

    Figure 3.2: voltage and current in case of short end line

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    Switching Transient by TRV/RRRV of Breaker:

    TRV is the transient voltage that appears across the poles of a circuit breaker

    uponinterrupting a circuit. When arc gets extinguished a frequency voltage transient

    appears across the contacts which is superimposed on power frequency system voltage.

    This high frequency transient voltage tries to restrike the arc. Hence, it is called restiking

    voltage or transient recovery voltage.

    Power frequency system appearing between the poles after arc extinction called recovery

    voltage. So, TRV is equal to power frequency component which is continuous and

    oscillatory component due to inductance and capacitance present in the network which is

    subsides after few milliseconds. Power frequency of transient component is:

    f=1/2

    (3.3)

    Which is ranging from few Hz to several thousand of Hz depending on circuitparameters.

    Here TRV Analysis is done by analysis of fault condition and measure the TRV across the

    breaker. Fault occurrence and removal is one of the reasons of occurrence of

    ferroresonance. This TRV is the difference of supply side voltage and load side voltage.

    TRV definedin standard are inherent values that would be obtained during interruption by

    ideal circuit breaker without arc. Exponential, oscillatory, triangular is the types of TRV.

    Exponential and oscillatory TRV are most sever in 3-phase faults and triangular TRV

    associated with line faults. Test are required at 100, 60, 30 and 10 % of rated shot circuit

    current with the corresponding TRV and recovery voltage.

    If the dielectric strength of the medium between the contacts does not build up faster than

    the rate of rise of transient recovery voltage, the breakdown takes place causing re-

    establishment of the arc. If dielectric strength of contacts space builds up veryrapidly so

    that it is more than the rate of rise of transient recovery voltage of circuit breaker interrupts

    successfully. If contacts space breaks down within a period of one fourth of cycle secondsfrom initial arc extinction the phase is called re-ignition and after one fourth of cycle the

    phenomenon called restrike.

    Two types of overvoltages generated as mention below:

    Chopping overvoltages (with frequency 5 Hz)

    Reigniting overvoltages (with frequency up to several hundreds of KHz )

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    Chopping overvoltages:

    When interrupting low inductive current such as magnetizing current of transformer, shunt

    reactor, the rapid deionization of contacts space and blast effectmay cause the current to be

    interrupting before its natural current zero. Itcalled current chopping. Energy stored in

    inductor is transferred to capacitoror inductive energy is transferred to electrostatic energy.

    Li2 =

    Cv2 (3.4)

    V=i

    (3.5)

    fn = (3.6)

    This transient voltage having high RRRV appears across the contacts, unlessthe arc

    continues. If it restrikes a further, chop may occurs or several chop may occurs before the

    current is finally interrupted, circuit breaker may fail to clear the fault. Waveform of

    current chopping is shown in figure.[11]

    Figure 3.3: circuit of current chopping

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    Figure 3.4: current waveform in current chopping

    Figure 3.5: voltage waveform due to current chopping

    Re- ignition phenomenon:

    During pre-strike or re-ignition the oscillating discharge of local capacitance results in high

    frequency current that occurs between the contacts superimposed on power frequency

    current that progressively establish itself. This phenomenon concern all types of

    switchgear. The breaking of high frequency current generates a new applied TRV between

    the contacts

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    the gap of which it has only slightly varied for this phenomenon occurs on a small time

    scale in comparison to the to the contact movement time which thus leads to new striking

    and repetition of same phenomenon. There is a succession of multiple striking

    associatedwith variable amplitude voltage waves depending on change of contact gap.

    Figure 8.4: voltage waveform due to Re-ignition

    While closing amplitudes increase until the gap between the contacts is finally sufficient

    enough to withstand the recovery voltage, still higher than voltage that corresponds to

    normal breaking.

    While opening only occurs if the arcing time (time interval between contact separation and

    current break) is low. In this case the contact gap is not sufficient enough to tolerate the

    TRV and there is another dielectric breakdown.

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    INSULATION CO-ORDINATION:

    Insulation coordination in power system was introduced to arrange the electrical insulation

    levelsof different components in the electrical power system including transmission

    network, in such a manner, that the failure of insulator, if occurs,

    confides to the place where it would result in the least damage of the system, easy to repair

    and replace, and results least disturbance to the power supply.

    When any over voltage appears in the electrical power system, then there may be a chance

    of failure of its insulation system. Probability of failure of insulation, is high at the weakest

    insulation point nearest to the source of over voltage. In power system and transmission

    networks, insulation is provided to the all equipment and components. Insulators in some

    points are easily replaceable and repairable compared to other. Insulation in some points

    are not so easily replaceable and repairable and the replacement and repairing may be

    highly expensive and require long interruption of power. Moreover failure of insulator at

    these points may causes bigger part of electrical network to be out of service. So it is

    desirable that in situation of insulator failure, only the easily replaceable and repairable

    insulator fails. The overall aim of insulation coordination is to reduce to an economically

    and operationally acceptable level the cost and disturbance caused by insulation failure. In

    insulation coordination method, the insulation of the various parts of the system must be so

    graded that flash over if occurs it must be at intended points.

    Insulation co-ordination: selection of the dielectric strength of equipment in relation to the

    operating voltages and overvoltages which can appear on the system for which the

    equipment is intended and taking into account the service environment and the

    characteristics of the available preventing and protective devices. It ismeans of correlation

    of the insulation of various equipment in thepower system tothe insulation of various

    equipment in power system to the insulation of the protective devices like lightning

    arrestor and protection of those equipment against over voltage like transformer or busbar.

    Figure shows the basic concept of insulation co-ordination.

    Curve A represents the characteristic of the protective device and Curve B represent the

    characteristic of equipment to be protected.

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    Fig-3.3

    INTRODUCTION OF FERRORESONANCE:

    Introduction of Magnetic Material

    Magnetic material is classified according to nature of its relative permeability. Free space

    magnetic material have relative permeability equal to 1. There is normal magnetic

    materials are paramagnetic and diamagnetic material.This paramagnetic material have

    relative permeability greater than 1, and diamagnetic material have permeability less than 1

    but it is much similar to the free space.But the ferromagnetic and ferromagnetic material

    have permeability very very greater than 1.Ferromagnetic material further divided in to

    two parts that is hard ferromagnetic material and soft ferromagnetic material. Permanent

    magnet material i.e. alnico, chromium steel, certain copper-nickel alloy etc. and soft

    ferromagnetic material i.e. iron and its alloy with nickel, cobalt, tungsten, aluminium.

    Silicon steel and cast steel are important ferromagnetic material for use of transformer and

    electric machines.

    Property of ferromagnetic material are basically based on saturation and

    hysteresischaracteristics. As shown in figure 3.4.

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    Figure 3.4: Properties of ferromagnetic material (a)saturation and (b)hysteresis respectively

    Flux density is proportional to the system voltage and field intensity is proportional to the

    current. This current oscillate between +/-Im and flux changes sinusoidally between +/-

    m.

    Voltage applied to the system is 90 degree leading to the flux. So, voltage applied is

    increasesmore and more flux demanded from core and current peak increases sharply and

    therefore core will be saturated. It also depends on the residual condition in the system.

    In case of which no residual condition in the system at that time steady state value of flux

    demanded at instant is - m but flux only start with zero the transient flux at the time of

    switching is equal to m so resultant flux is 2m. It is called doubling effect and exciting

    current is large so core saturate. The worst case is with residual flux at that time resultant

    flux will be 2 m+r and current further increases and more the core saturate.

    Ferromagnetism:

    A ferromagnet, like a paramagnetic substance, has unpairedelectrons. In addition to the

    electrons' intrinsic magnetic moment's tendency tobe parallel to an applied field, there is

    also in these materials a tendency for these magnetic moments to orient parallel.

    Resonance Phenomenon:

    It occurs between capacitance and linear inductance. Electrical resonance occurs in an

    electric circuit at a particular resonance frequency where the imaginary parts of circuit

    element impedances or admittances cancel each other.

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    Resonance is the tendency of a system to oscillate at a greater amplitude atsome

    frequencies. These are known as the system's resonant frequency. Atresonance the power

    factor is exactly unity so, at resonance LC=1

    (3.3)

    Series and Parallel is the types of resonance. In series Resonance the impedanceof the

    complete circuit is at minimum. Current through the circuit is very large.Large voltage

    across individual L and C. This voltage can be many times greater than the supply voltage

    and this voltage across inductance and capacitance are of same magnitude in series

    resonance. And in parallel resonance the impedance of the complete circuit is at maximum.

    Current through the circuit is very small. Large current through individual L and C. This

    current can be many times greater than the current supplied by source and it is same inmagnitude.

    Characteristic of Resonance Phenomenon:

    The straight line AB is the characteristic of the inductor. The characteristic ofCapacitor is

    given by JK or J'K' according to the value of capacitor The operatingpoint is P and P'. At

    operating point P L > 1/C, and at P'L < 1/C. If C isreducing then the JK will be

    steeper and J'K' becomes less steep, so that, the linewill become parallel to the AB the

    voltage VL and VC become infinite. There is no condition of the inductor in saturation.

    Figure 3.5: Characteristic of Resonance

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    Ferroresonance Phenomenon:

    It is nonlinear phenomenon of the resonance. It occurs between saturated or nonlinear

    inductance and capacitance. Inductance involved is usually iron core. The nonlinear

    character of iron core inductance introduces some particular effect.

    Characteristics of Ferroresonance:

    It is nonlinear phenomenon of the resonance. It occurs between saturated or nonlinear

    inductance and capacitance. Inductance involved is usually iron core. The nonlinear

    character of iron core inductance introduces some particular effect.

    Figure 3.6: variation of inductance and capacitance in ferroresonance phenomenon

    The voltage across the inductance depends on the frequency and the also a function of

    current f(I). so, we can write:

    VL=f(I) so, VLplotted as a function of current shown in figure.This voltage leadcurrent

    by 90 degree. Voltage across capacitance is given by VC=cthe minus sign indicating

    that it anti phase with VL and lags the current by 90 degree. So, the total voltage will be V

    = VL+VC=f(I)-I/c or VL= V +I/c so this VLhas fixed consistent V and one that is

    proportional to I. This also plotted in the figure indicating strait line. Thisboth

    characteristics represent VL. The operating point must be where the two lines crosses at P

    as shown in figure 3.6.

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    The slope of the line is given by:

    Figure 3.7: Full characteristic of ferroresonance

    tan()=1/c

    This indicating that if either or C is reduced the slope will be increase and the operating

    point p will be progress up the curve. Fig 3.7 shows that capacitor line makes multiple

    interactions with the f(I) line.

    This interaction in this case A, Band C. At point A the VLand VCare negative and VC > VLso the current I leads the voltage V. Whereas at point B VC< VLalso current I legs behind

    V. Both point A and B are stable operating points since any slight variation of current, it

    will cause voltage changes tending to restore current to initial value.

    Point C is not stable operating point. A momentarily variation in current I would cause

    changes in VL and VC such as to reinforce the deviation and destabilize rather than

    stabilize. So the point B is non ferroresonance stable operating point where XL,US> XC and

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    V = VL-VC. Point A is the ferroresonant stable operation point where capacitive situation

    XL,S < XCand V = VC-VL and point C is the unstable operating point where XL,S > XC.

    where S-saturated and US-unsaturated.[12].

    Voltage, Flux, Current Relationship During Ferroresonance:

    Figure 3.8: Circuit of ferroresonance

    Figure 3.8 shows the RLC circuit with charged capacitor and inductor havingmagnetizing

    curve. The graph in the figure shows voltage, flux and current withrespect to

    time.According to Faradays law: = N = where is the voltage across

    inductor.

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    Figure 3.9: Representation of Voltage, Flux, Current Relationship during ferroresonance

    is the magnetic flux in its core, N is the number of turns, and t is the time, is flux

    linkage. Magnetization of in core at any given time is depends on the length of a potential

    applied and the magnitude. As shown in figure 3.9 the iron cored transformer into its

    saturation mode. Voltage applied for a long enough time irrespective of the magnitude.As

    shown in figure 3.9, 1 is equal to the shaded area A under voltage curve When the has built

    up to the knee of the magnetization curve at time t1the transformer iron is saturated and the

    inductance drops to a very low value L2. A very large pulse of current

    thenflows,transforming all the energy stored in the electric field of the capacitor into the

    magnetic field of the transformer.

    At time t2 the potential has dropped to zero and the current is at its peak. The magnetic

    field then collapses, charging the capacitor to the opposite polarity at time t3.At that time

    the has dropped back to the knee of the magnetization curve and underthe influence of

    the negative potential begins to drive the downward. Ultimately thetransformer core

    becomes saturated at the opposite polarity, a pulse of current flows, and the voltage is

    again reversed in polarity.

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    The voltage magnitude decreases with each reversal of voltage because of I2R losses

    during saturation.The oscillations eventually die out due to losses in the circuit. Sustained

    ferroresonance requires that these losses be supplied from an external source.

    The frequency of the oscillation must lie between the limits.[13].

    (3.4)

    And

    (3.5)

    Difference between Resonance and ferroresonance:

    Resonance:

    Contains System Parameter of Resistance, capacitance, inductor. Resonance occursat one

    frequency when the source frequency is varied. Only one sinusoidal steady state

    overvoltage and over current occurs.

    Ferroresonance:

    Contains System Parameter of Resistance, capacitance, nonlinear inductor (ferromagnetic

    material). Ferroresonance occurs at a given frequency when one of the saturated core

    inductances matches with the capacitance of the network. It also contains Several steady

    state overvoltage and over currents can occur.[14].

    Classification of Ferroresonance Modes:

    The four different ferroresonance types are:

    Fundamental mode,

    Sub harmonic mode,

    Quasi-periodic mode,

    Chaotic mode.

    Fundamental mode:

    The periodic response has the same period, T as thepower system. The frequency

    spectrum of the signals consists of fundamentalfrequency component as the

    dominant one followed by decreasing contents of3rd, 5th, 7th and nth odd

    harmonic. In addition, this type of response can also be identified by using the

    stroboscopic

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    diagram of Figure 3.10, which can be obtained by simultaneously sampling of voltage, v

    and current, i at the fundamental frequency.[14].

    Figure 3.10: Fundamental Mode

    Sub harmonic mode:

    This type of ferroresonance signals has a period whichis multiple of the source

    period, nT . The fundamental mode of ferroresonanceis normally called a Period-1

    (i.e. f0=1Hz) ferroresonance and a ferroresonancewith a sub-multiple of the power

    system frequency is called a Period-n (i.e.f0=n Hz) ferroresonance. Alternatively,

    the frequency contents are describedhaving a spectrum of frequencies equal to f0=nwith f0 denoting the fundamentalfrequency and n is an integer. With this signal,

    there are n points exist inthe stroboscopic diagram which signifies predominant of

    fundamental frequencycomponent with decreasing harmonic contents at other

    frequencies.[14].

    Figure 3.11: Subharmonic Mode

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    Quasi-periodic Mode:

    This mode (also called pseudo-periodic) is not periodic. The

    spectrum is a discontinuous spectrum whose frequencies are expressedin the form

    : nf1+mf2 (where n and m are integers and f1=f2 an irrational realnumber). The

    stroboscopic image shows a closed curve.[14].

    Figure 3.12: Quasi-periodic Mode

    Chaotic Mode:

    The corresponding spectrum is continuous, i.e. it is notcancelled for any frequency.

    The stroboscopic image is made up of completelyseparate points occupying an area

    in plane V, I known as the strange attractor as shown in figure below.[14].

    Figure 3.13: Chaotic Mode

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    Features of Ferroresonance: [14].

    The ferroresonant steady state response is characterized by presence of:

    High overvoltages

    High harmonic levels

    This may lead to:

    Untimely tripping of protection devices, due to overvoltages.

    Destruction of equipment such as power transformers or voltage transformers.

    Current through the windings and leakage current through the insulation increases

    due to increase in voltage.

    This leads to increase in winding and insulation temperature.

    a. Causing HV insulation failure due to thermal runaway.

    b. Production losses

    Unusual noises from transformers.

    Condition Favourable for Ferroresonance:[14].

    Transformer energized through grading capacitance of open circuit breaker.

    Transformers connected to an isolated neutral system.

    Transformer accidentally energized in only one or two phases.

    Transformers and HV/MV transformers with isolated neutral.

    Power system earthed through a reactor.

    General methods to Prevention of Ferroresonance:[14].

    Avoid configurations susceptible to ferroresonance, through proper design

    andproper switching operations.

    Provide a safety margin to ensure that system parameters are in the risk area,even

    temporarily.

    In isolated neutral systems, the wye-connected PT primaries should not beearthed

    or a delta-connection of PTs should be used.

    Use design measures to make magnetic core at low flux density.

    Avoiding no load energizing.

    Prohibiting single phase operations or fuse protections.

    Prohibiting live work on cable-transformer assembly.

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    Introducing losses with use of extra burden which damp out ferroresonance

    inVoltage transformer and in capacitor voltage transformer.

    Case Study of Transmission LineEnergization:

    Case Study of Line Energization is Based on Traveling wave Phenomenon and when

    circuit breaker is open near natural current zero at that time current through capacitance is

    90 degree out of phase with voltage so this charge is trapped in the capacitor and when line

    is re-closed than this trapped charges of capacitance adds in system reflected voltage which

    results very high overvoltage. Two cases were simulated forenergization of Transmission

    line which are given below:

    Line energization without trapped charges.

    Line energization with trapped charges.

    a. Line energization without trapped charges: For example energization of

    line by closing of breaker followed by initially open and closed at voltage peak.

    b. Line energization with trapped charges: situation for an uncompensated

    line with trapped voltage during a reclosing operation. Energizing occurs at an

    instant with a large difference between (instantaneous) supply voltage and line

    voltage, a large traveling wave will be injected onto the line.

    When this wave reaches the open, far end of the line, it will be reflected and

    a high overvoltage will be initiated. Line energization with trapped charges

    was simulated by opening the breaker at current zero. The line voltage at the

    opening instant was at a peak value (for example at a positive peak).

    The breaker was reclosed at a bus voltage peak, with the polarity opposite to

    the line voltage (i.e. the D.C voltage across the capacitor) (negative peak, for

    this example). This results in the highest overvoltage and arrester energy for

    one restrike (reclosing) operation.

    ENERGIZATION WITH TRAPPED CHARGES WITH SURGE ARRESTER:

    Switching impulse voltage is approximately same in substation sothat surge arrester

    provides to all equipments. Surge arresters are used tolimits phase to ground

    switching overvoltages to level lower than about 0.7p.u of switching

    overvoltage.[8] because of its mov(metal oxide varistor) and ithas property that it

    give high

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    Impedance to current at normal condition andlow impedance path to current when high

    voltage condition i.e lightening and switching overvoltage condition so, it reduce over

    voltage drastically.

    Inrush Current: The capability of circuit breaker to handle the inrush

    currentnormally expressed in terms of the product of inrush current peak times

    theinrush current frequency. Equation of inrush current is given below.

    = 2 (3.6)

    Ferroresonance Case Studies:

    This Chapter shows various case studies of ferroresonance with the help of simulation

    model. Here two case studies are given, first the occurrence of ferroresonance conditionand mitigation of ferroresonance with the help of air core reactor. By connecting air core

    reactor connected across HV winding on tertiary winding because of this linear reactance

    in parallel with transformer nonlinear inductor effect of ferroresonance between nonlinear

    inductor and capacitor(in terms of transmission line or stray or grading capacitor) can be

    destroyed and disconnection of maximum energy transformer between them.[15] Usage of

    tertiary connected shunt reactor depends on available capacity on the tertiary winding.

    CASE 1: Transformer energized through grading capacitance of open circuit breaker. This

    case model is shown in figure 4.13. The supply voltage is of 400kV and transformer rating

    is of 100MVA, 400kV/220kV/13kV. Fault occurs at 0.5 sec and it remains for duration of

    0.07 sec. At 0.57 sec breaker 2 is operate i.e opens and after some time the breaker 1

    operates at that time the capacitor connected to ground at bus terminal is discharges

    through the transformer. So, oscillation between grading capacitance and saturated

    transformer the path of ferroresonance is shown in figure: 4.14.

    The Waveforms of 400kV bus voltage is shown in figure: 4.15. It can be observednthat

    higher the grading capacitance higher the over voltage and ferroresonance is visualizes for

    certain range of line to ground capacitance value. Typically in this case ferroresonance can

    occurs for grading capacitance range of 3000pf - 8000pf and stray capacitance range is of

    1000pf - 6000pf. In this case over voltage is of 2 p.u or high and this is shows the

    subharmonic mode of ferroresonance. With the help of air cored reactor valued

    ferroresonance condition is totally mitigated.

    This mitigation simulation is done when highest overvoltage can occurs due to grading

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    capacitance and stray capacitance combination i.e. 8000pf grading capacitance and 5000pf

    stray capacitance without reactor connected at tertiary winding and with different values of

    reactor. figure 4.15 is shows waveform without reactor connected at tertiary winding.

    figure 4.16shows waveform of reactor connected valued 1MVAR and 5MVAR and figure

    4.17with 10MVAR and 30MVAR value. Observations regarding voltage before and after

    connected different values of reactor at tertiary winding in figure 4.14.

    CASE 2:Transformer accidentally energized in only one or two phases In this case of

    ferroresonance 400kV feeds to transmission line and cabal fed transformer with rating

    1000MVA 400kV/220kV/13kV . [15]. Transmission line is of 200km and cable is of 1km

    long.

    Due to single phase switching of phase A, ferroresonance [16][14] between cable

    capacitance, transmission line capacitance and transformer magnetizing inductor. Circuit

    modelled in PSCAD is shown in figure4.21 and the path of ferroresonance is shown in

    figure 4.22. The waveform of ferroresonance over voltage is shown in the figure4.23

    without reactor connected at tertiary and with reactor valued 100MVAR and figure4.24

    with reactor valued 200MVAR and 333MVAR.

    This ferroresonance overvoltage is of 2.7 p.u and it is fundamental mode of ferroresonance.

    Figure 4.27 shows observation table with and without reactors. This ferroresonance is

    observed for the certain rance of cable length typically for this case for 400kV the cable

    capacitance is 0:23_=km and ferroresonance can occurs between range of 0.5km - 2km

    cable length.

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    Chapter 4

    RESULTS AND DISCUSSION

    Description of Case study Of transmission line:

    In this case with 400kV network with all equipment were considered, and 400kV Twin

    Moose conductor with length 140km shown in figure.4.1 in this case breaker

    breaker(BRK) operation is considered.

    First case is of Energization of Transmission line without trapped charges in this case

    breaker is closed at t=0.105 Second shown in figure 4.4 to figure 4.6, Second case is of

    Energization of transmission line with trapped charges in simulated case line open at

    t=0.125 Second and reclosed at t=0.195 Second which shown in figure 4.7 to figure 4.9.

    The third case is with arrester with trapped charges this can be shown in figure 4.10 to

    figure 4.12.All three case results are shown with supply side voltage, remote end side

    voltage and with charging current.The table represents the observed quantities for all cases

    with standard BIL limit is shown in figure4.1. The observations and table from the observa

    tion are given below:

    a. For Line Energization without trapped charges the maximum overvoltage observed was

    620kV which is within the BIL limit of 950kV for 400kV system as per IEC 60071-1.[5].

    b. For Line Energization with trapped charges maximum voltage observed was

    940kV which near about BIL limit i.e. 950kV.

    c. With the help of arrester over voltage is 782kV. So that with help of arrester the

    overvoltage can be reduced. The metal oxide surge arrester are used to limit phase to

    ground switching overvoltages to level lower than about 0.7 p.u of switching

    overvoltages.[8].

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    Switching

    Operation

    Phase

    voltage (kv)

    for 400kv

    BIL(kv) for

    400kv (As

    per IEC-

    60071-1)

    Length of

    Line (km)

    Supply Side

    Voltage

    (km)

    Remote End

    side

    Voltage(kv)

    Energization

    of Line

    without

    Trapped

    Charges

    326.6 950 140 564 620

    Energization

    of Line with

    Trapped

    Charges

    326.6 950 140 795 940

    Energization

    of Line with

    Trapped

    Charges

    with Surge

    Arrester

    326.6 950 140 500 782

    Figure 4.1: Observation Table for all cases

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    Figure 4.2:PSCAD Circuit for Line Energization without mitigation

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    Figure 4.3 PSCAD Circuit for Line Energization and Reclosing case study

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    Figure 4.4Line Supply Side Voltage without trapped Charges

    Figure 4.5: Line Remote Side Voltage without trapped Charges

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    Figure 4.6: Charging Current Without trapped charges

    Figure 4.7: Line Supply Side Voltage with trapped Charges

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    Figure 4.8: Line Remote Side Voltage with trapped Charges

    Figure 4.9: Charging Current with trapped charges

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    Figure 4.10: Line Supply Side Voltage with trapped Charges with Arrester

    Figure 4.11: Line Remote Side Voltage with trapped Charges with Arrester

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    Figure 4.12: Charging Current with trapped charges with Arrester

    Conclusion From Ferorroresonance Case Studies:

    a. Small variation in value of system parameters or transient may cause this phenomenon

    and initiate ferroresonance.

    b. Ferroresonance occurs due to nonlinear inductor and stray, grading or cable capacitance

    in the system.

    c. The frequency of voltage waves which may different from that of sinusoidal voltage

    source witch may be either fundamental, sub harmonic or chaotic modes.

    d. This probability of ferroresonance situation in system is limited for certain range of

    capacitance. Typically.

    In Case I: Grading Capacitance Range: 3000pf-8000pf. Stray Capacitance

    Range: 1000pf-6000pf.

    In Case II: 400kV cable Capacitance is 0.23 F/km. In this case cable Range

    0.5km 2km.

    e. By introducing linear Shunt Reactor at tertiary winding, ferroresonance effect can be

    reduced.

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    Figure 4.13: circuit of Case 1 in the PSCAD

    Figure 4.14: Path of ferroresonance for case 1

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    Figure 4.15: Ferroresonance overvoltage at 400kV bus without reactor connected attertiary

    for case 1

    Figure 4.16: Ferroresonance overvoltage at 400kV bus without reactor connected at tertiary

    for case 141

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    Figure 4.17: mitigation of ferroresonance for 1MVAR reactor at 400kV bus side for

    case 1

    Figure 4.18: mitigation of ferroresonance for 5MVAR reactor at 400kV bus side for

    case 1

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    Figure 4.19: mitigation of ferroresonance for 5 MVAR reactor at 400kV bus side for

    case 1

    Figure 4.19: mitigation of ferroresonance for 10MVAR reactor at 400kV bus side for

    case 1

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    Figure 4.20: mitigation of ferroresonance for 30MVAR reactor at 400kV bus side for case

    1

    Figure 4.21: circuit of Case 2 in the PSCAD

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    Figure 4.22: Path of ferroresonance for case 2

    Figure 4.23: Waveform of ferroresonance over voltages without reactor at 400kV

    side case 2

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    Figure 4.24: mitigation of ferroresonance for 100MVAR reactor at 400kV sidecase 2

    Figure 4.25: mitigation of ferroresonance for 200MVAR reactor at 400kV sidecase 2

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    Figure 4.26: mitigation of ferroresonance for 333.33MVAR reactor at 400kV sidecase 2

    Figure 4.27: Observations for Case 1 and 2 With and Without Reactor connected

    at tertiary winding

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    Chapter 5

    CONCLUSION

    This report begins with brief introduction about transients in power system particularly

    switching transients which can be occurs in the range of 50Hz to 10 kHz. It was clearly

    conclude from this project is, the switching transient case studies are used to check the

    equipment insulation within BIL or not. Also if BIL is not within the limit as per standards

    than it can be reduced with the help of surge arrester. One of the transients which are likely

    to be caused by switching events is low frequency transient, i.e. ferroresonance. it is very

    rare to occur but it results into very dangerous overvoltages into power system network.

    This report presents theoretical background of ferroresonance, simulation of

    ferroresonance and also simulation for the mitigation of ferroresonance with help of

    tertiary winding loading with different values of reactor ratings.

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    Chapter 6

    FUTURE SCOPE

    Future Scope:

    In this report ferroresoance case studies are carried out for the transmission net work it can

    be carry out in the distribution network for further studies. It can also simulation of

    ferroresonance in CVT and mitigation techniques with the help of Ferroresoance circuit in

    the CVT for further studies.

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    References

    [1] Government of India , Ministry of Power, Central Electicity Authority, "Manual

    on Transmission Criteria", New Delhi-2007.

    [2] Modeling Guideline For Slow Transients Report Prepared by , IEEE Modeling

    and Analysis of System Transients Working Group.

    [3] Modeling Guideline For Fast Front Transients Report Prepared by , IEEE Mod-

    eling and Analysis of System Transients Working Group.

    [4] Modeling Guideline For Very Fast Front Transients Report Prepared by , IEEE

    Modeling and Analysis of System Transients Working Group.

    [5] IEC-60071-1 (2006), Insulation co-ordination Part 1: Denitions, principales and

    rules.

    [6] M.S.Naidu, High voltage Engineering, forth ed.: TaTa McGraw-Hill Publishing

    Company limited.

    [7] C.L.Wadhva, high voltage engineering, Second Edition ed.: New Age Interna-

    tional Limited, Publisher.

    [8] IEEE 1313.2-1999 guideline for the application of Insulation coordination

    [9] IEEE guide for application of Transient Recovery Voltage for AC high voltage

    circuit breaker.

    [10] IEC-62271-1 (2008) High-voltage switchgear and control gear - Part 100:

    Alternating-current circuit-breakers.

    [11] IEEE guide for application of shunt reactor switching..

    [12] A. Greenwood, Electrical Transents in Power Systems, Second Edition ed.: John

    Willey and Sons, Inc, 2005.

    [13] E. J. Dolan, D. A. Gillies, and E. W. Kimbark, "Ferroresonance in a Trans-

    former Switched with an EHV Line," IEEE Transactions on Power Apparatus

    and Systems, vol. PAS-91, pp. 1273-1280, 2006.

    [14] P. Ferracci, Ferroresonance, Cashier Technique no 190, Groupe Schneider.

    March,2008.

    [15] S.P Ang,Z.D Wang, P.Jarman "Power Transformer Ferroresonance Suppression

    by Shunt Reactor Switching", IEEE publication, 2009.