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     Abstract—The grounding transformer is a transformer

    intended solely for establishing a neutral connection point on a

    three-phase ungrounded power system. The transformer is

    usually of the wye-delta or zig-zag transformer.

    This paper first reviews the state of the art of the grounding

    transformer to assist electric power engineers in the proper

    understanding of the use and applications of these devices, and

    then a zig-zag grounding transformer is modeled in

    PSCAD/EMTDC simulator. After a 27.6 KV ungrounded three-

    phase transmission system is constructed, different scenarios are

    simulated and verified under different conditions with theconnection of the grounding transformer.

     Index Terms—Fault Localization, Grounding Transformer,

    Metering System, Modeling, Power System, Protection, Relaying,

    Simulation, Ungrounded.

    I. INTRODUCTION 

    he way to ground a power system is probably more

    difficult to select than any other features of its design.

    Historically, there has been a gradual trend in American

    power system from ungrounded, to resistance grounded, to

    solid or effective grounded [1]. The main reasons for this

    trend can be readily traced. Most systems were initiallyoperated with their neutrals free, i.e., the neutrals were not

    connected to ground. This was the natural thing to do as the

    ground connection was not functional for the actual transfer

    of power. People had a strong argument in this favor, since an

    insulator failure on one of the phases could be tolerated for

    some little time until the fault could be located and fixed. In

    addition, most lines at that time were single circuit, and the

    free-neutral feature permitted loads to be powered with fewer

    interruptions than the neutral had been grounded. Another

    important consideration was that relaying had not come into

    general use, so that many prolonged outages were avoided by

    the ungrounded operation.The principal virtue of an ungrounded-neutral system is its

    ability, in some cases, to clear ground faults without

    M. Shen, L. Ingratta, and G. Roberts are with the Energy Division at

    Wardrop Engineering Inc., Mississauga, Ontario L4V 1V2, Canada. (e-mail:

    [email protected])

    Wardrop Engineering Inc. has been delivering solutions to power utilities

    and industrial clients since 1955. Wardrop is internationally recognized as a

    provider of engineering services in the specialized fields of power transmission,

    distribution, and generation.

    The vision at Wardrop is to create a company that stands for People,

    Passion, Performance. Trusted Globally.

    interruption. However, Limitations to ungrounded power

    system began to develop with the growth of systems, both as

    to mileage and voltage. This increased the currents when a

    ground occurred, so that the increasing faults of transient

    grounds (from lightning, or momentary contacts) were no

    longer self-clearing. More recent transient-overvoltage

    comparisons between isolated and grounded systems have

    shown the former to give higher overvoltages, both during

    faults and switching operations [1]. Therefore, it is necessary

    to assume that an ungrounded-neutral system will result in

    more equipment damages than some form of groundedsystem. Transformers must be designed on the basis of full

    neutral displacement and in the higher voltage classes this will

    result in a somewhat higher cost.

    Most grounded systems employ some method of grounding

    the system neutral at one or more points. These methods can

    be divided into two general categories: solid grounding and

    impedance grounding. Impedance grounding may be further

    divided into several subcategories: reactance grounding,

    resistance grounding, and ground-fault-neutralizer grounding.

    Each method, as named, refers to the nature of the external

    grounding circuit, from system neutral to ground rather than

    to the degree of grounding [2].The best way to obtain the system neutral for grounding

    purpose in three-phase systems is to use source transformers

    or generators with wye-connected windings. The neutral is

    then readily available. The alternative is to apply grounding

    transformers when some system neutrals may not be

    available, particularly in many old systems of 27.6 KV or less

    and many existing 2400, 4800, and 6900 V systems. When

    existing delta-connected systems are to be grounded,

    grounding transformers may be used to obtain the neutral.

    Grounding transformers may be the interconnected wye (zig-

    zag), the wye-delta, or the T-connected type [2].

    II. INTRODUCTION TO GROUNDING TRANSFORMERS 

    A grounding transformer is a transformer intended solely

    for establishing a neutral ground connection on a three-phase

    ungrounded system. The transformer is usually of the wye-

    delta or zig-zag arrangement as shown in Figure 1. The

    application of grounding transformers on delta-connected

    ungrounded three-phase transmission/distribution systems is

    well known. Ground-fault protection schemes that provide

    selective and reasonably fast tripping are often incorporated

    with these grounding transformers. Since grounding

    Grounding Transformer Application,

    Modeling, and SimulationM. Shen, Member, IEEE , L. Ingratta, and G. Roberts

    T

    ©2008 IEEE.

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    transformers are not encountered on a daily basis by most

    electric power engineers, improper understanding and

    applications of these devices and/or the associated ground-

    fault protection systems sometimes occurs.

     (a) Wye-delta grounding transformer

    (b) Zig-zag grounding transformer

    Figure 1. Wye-delta and zig-zag grounding transformer

    The technical literature covering grounding transformers is

    scattered. A number of technical publications [1]-[8] discuss

    various aspects of the purpose, application, protection

    philosophy, and specifications of different types of grounding

    transformers. However, some of these materials are not

    readily available. It appears that no single publication

    discusses all aspects of the grounding transformers. This

    paper first reviews the state of the art of the grounding

    transformer to assist electric power engineers in the proper

    understanding of the use and applications of these devices,

    and then a zig-zag grounding transformer is modeled in

    PSCAD/EMTDC simulator. After a 27.6 KV ungrounded

    three-phase transmission system is constructed, different

    scenarios are simulated and verified under different

    conditions with the connection of the grounding transformer.

     A. What is the Grounding Transformer?

    One type of grounding transformer commonly used is a

    three-phase zig-zag transformer with no secondary winding.

    One application is to derive an earth reference point for an

    ungrounded electrical system.

    The internal connection of this transformer is illustrated in

    Figure 2. Consider a three-phase Y (wye) transformer with an

    earth connection on the neutral point. Cut each winding in the

    middle so that the winding splits into two sections. Turn the

    outer winding around and rejoin the outer winding to the next

    phase in the sequence (i.e. outer A phase connects to inner B

    phase, outer B phase connects to inner C phase, and outer C

    phase connects to inner A phase).The impedance of the grounding transformer to three-

    phase current is high so that when there is no fault or un-

    balanced current on the systems, only a small magnetizing

    current flows in the transformer windings. The transformer

    impedance to ground current, however, is low so that it allows

    high ground current to flow. The transformer divides the

    ground current into three equal components; these currents

    are in phase with each other and flow in the three windings of

    the grounding transformer. The method of winding is seen

    from Figure 2 to be such that when these three equal currents

    flow, the current in one section of the winding of each leg is

    in a direction opposite to that in the other section of thewinding on that leg. This tends to force the ground-fault

    current to have equal division in the three lines and accounts

    for the low impedance of the ground currents.

    Figure 2. Winding connections of the zig-zag grounding transformer

     B. Why the Grounding Transformers are Necessary?

    Grounding transformers have been applied to ungrounded

    three-phase power systems to 1) provide a source of ground-

    fault current during line-to-ground faults, 2) limit the

    magnitudes of transient overvoltages when restriking groundfaults occur and, 3) stabilize the neutral, and when desired,

    permit the connection of phase-to-neutral loads [4].

    Ungrounded three-phase systems are used mainly to

    prevent an automatic shutdown when a ground fault on any

    one of the three phases occurs. The majority of all faults are

    of the single phase-to-ground variety. Therefore, continuity of

    power is maintained when no automatic tripping occurs for

    this common type of fault. However, ultimately, the fault must

    be located and fixed. It goes without saying that it can be

    annoying and time consuming to locate a ground fault by

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    switching loads on and off to pinpoint and remove the single

    phase-to-ground fault from the system. Consequently,

    grounding transformers are commonly used to enable

    automatic detection and, if desired, isolation of phase-to-

    ground faults.

    Many electric utilities have converted ungrounded delta

    primary distribution systems to grounded wye systems to

    provide for the automatic isolation of line-to-ground faults, to

    help protect the system components, and to prevent orminimize possible injury to personnel. It is believed that the

    use of grounding transformers on new systems will phase out

    in the future, because generally, it is cheaper and simpler to

    install a new grounded neutral wye system than a delta system

    having an associated grounding transformer. However,

    grounding transformers would normally be retrofitted to

    existing delta systems, particularly; systems rated for 27.6 KV

    or less. Most of the older systems in these voltage classes

    were designed to be operated ungrounded.

    C. Use of Grounding Transformers

    The grounding transformer provides a source for zero-

    sequence current, stabilizes the system neutral, and, if

    properly sized, permits the addition of a neutral conductor to

    overhead lines.

    The preferred location for the grounding transformer is at

    the source substation, connected either to the power

    transformer leads or the station bus. If the grounding

    transformer is to be used to supply a four-wire distribution

    system, care must be taken to insure that switching cannot

    cause the grounding transformer to be disconnected while the

    power transformer continues to energize the lines. If the

    grounding transformer were to be disconnected, a system

    ground fault could cause 173% voltage to be applied to the

    phase-to-neutral distribution transformers connected to theunfaulted phases. Also phase-to-neutral overvoltages are

    possible due to load imbalances, even without a ground fault.

    Small grounding transformers made from single-phase

    distribution transformers have sometimes been used on three-

    wire ungrounded distribution systems to derive a neutral for a

    local four-wire system. Such applications must be carefully

    engineered since the presence of the grounding transformer

    on the distribution line will tend to degrade the sensitivity and

    selectivity of residual ground relays. Application of small

    grounding transformer on otherwise ungrounded systems

    should be avoided since it is usually not possible to provide

    ground-fault relaying that is fully selective and yet protectsthe grounding transformer from continuous overcurrent.

    The calculations necessary to specify a grounding

    transformer are discussed in [3].

     D. Location of System Grounding Points

    The selection of a system grounding point is influenced by

    whether the transformer or generator windings are connected

    ‘wye’ or ‘delta’. ‘delta-wye’ or ‘wye-delta’ transformers

    effectively block the flow of zero-sequence current between

    systems. Although the wye connection is generally more

    helpful to system grounding because of the availability of a

    neutral connection, that fact alone should not be the sole

    criteria for the location of the system ground point.

    The system ground point should always be at the power

    source. An old concept of grounding at the load or at other

    points in the system because of the availability of a

    convenient grounding point is not recommended because of

    the problems caused by multiple ground paths and because of

    the danger that the system could be left ungrounded andtherefore unsafe. The National Electrical Code recognizes this

    danger and prohibits system grounding at any place except the

    source and/or service equipment.

    It is generally desirable to connect a grounding transformer

    directly to the main bus of a power system shown in Figure 3,

    without intervening circuit breakers or fuses, to prevent the

    grounding transformer from being inadvertently taken out of

    service by the operation of the intervening devices. In this

    case, the transformer is considered part of the source power

    transformer and is protected by the relaying applied for

    transformer/bus protection.

    Figure 3. General connection of grounding transformer to a

    delta-connected or ungrounded power system

    E. Rating of the Grounding Transformer

    Since a grounding transformer is normally only required to

    carry short-circuit ground current until the circuit breakers

    clear the fault and de-energize the faulted circuit, it is

    common to rate it on a short time such as 10 s. Under these

    circumstances the physical size (and resulting cost) is

    considerably reduced. If it is required to carry a continuous

    percentage of unbalanced current, this will reduce the amount

    of savings possibly.

    The rating of a three-phase grounding transformer, in kVA,

    is equal to the rated line-to-neutral voltage in kilovolts times

    the rated neutral current that the transformer is designed to

    carry under fault conditions for a specified time. Most

    grounding transformers are designed to carry their rated

    current for a limited time only, such as 10 s or 1 min.

    Consequently, they are much smaller in size than an ordinary

    three-phase continuously rated transformer with the same

    rating.

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    Rated voltage of a grounding transformer is the line-to-line

    voltage for which the unit is designed.

    In an application on a multigrounded neutral system, the

    grounding transformer must have the capability to carry some

    continuous neutral current. An estimate must be made of the

    maximum expected load imbalance in order to specify this

    rating. A grounding transformer constructed in accordance

    with IEEE Std 32-1972 will have a continuous rating of 3%

    for a 10 s rated unit. This value would correspond to a 200 Acontinuous rating for the 6600 A transformer specified above.

    If higher values of continuous current are required, the size

    and cost of the grounding transformer may increase. A 1 min

    rated unit would have 7% of the continuous current rating.

    F. Protection of the Grounding Transformers

    When a grounding transformer is used on a system, the

    protection philosophy should be as follows [5]:

    •  The system must be protected against faults in the

    grounding transformer; however, any isolation of a

    grounding transformer must not leave a system in a

    totally ungrounded or in an inadequately grounded mode.

    •  Back-up protection should be provided for ground faults

    that are not cleared by the primary protection device.

    •  Protection should be selective to prevent unnecessary

    outages.

    When a zigzag or grounded wye-delta transformer is used,

    the effective grounding impedance is selected to provide

    sufficient current for selective ground relaying. The available

    ground fault current is generally on the order of 400 A.

    The electrical protection scheme for the grounding

    transformer is simple, consisting of overcurrent relays

    connected to delta-connected CTs, as shown in Figure 4 (a),

    or differential protection with backup ground relay, as shown

    in figure 4 (b).

    Each power transformer, bus, and feeder breaker would

    have primary ground overcurrent relaying. This protection

    could be sensitive instantaneous overcurrent relaying. Backup

    protection would be provided by a time-overcurrent relay

    connected to a CT in the neutral of the grounding transformer

    as shown in figure 4 (C).

    (a) Overcurrent protection

    (b) Differential protection with backup ground relay

    (c) Time-overcurrent protection

    Figure 4. Ground-fault protection with zig-zag grounding transformer

    A phase-to-ground fault should not be allowed to persist on

    a grounding transformer with low or no neutral impedance

    that permits a fault current magnitude greater than the

    continuous current rating. Therefore, the selection of a CT

    ratio associated with the grounding transformer depends more

    on the pickup of the ground relay than the rating of the

    grounding transformer. However, if a fault is allowed to

    persist, then the CT ratio must be selected with the continuous

    current in mind.

    G. Fault Locating in Ungrounded or High-Resistance

    Ground System

    Common methods of localization are: 1) fault isolation by

    network switching, and 2) circuit tracing using a signal

    injector and a hand-held signal detector.Network switching is the simplest method. The system

    operator deenergizes one feeder at a time until the fault

    disappears. Then branch circuits are switched, eventually

    loads are tested. This identifies the faulted network section.

    This search process interrupts the continuity of service, which

    is the advantage of these systems. In practice, the search is

    postponed until there is a scheduled break in production.

    However, often the search is frustrated by the disappearance

    of the fault when all the manufacturing equipment is shut

    down. And the search is manpower intensive and requires

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    well-trained personnel that are familiar with the entire power

    system network [9].

    Circuit tracing with a superimposed signal is a preferred

    method for locating a fault. The signal can be supplied in a

    number of ways. For high-resistance grounded systems, a

    common signal source is the modulation of the ground-fault

    current through the grounding resistor. This may be

    accomplished with a second resistor switched in parallel with

    the grounding resistor or by shorting out a portion of thegrounding resistor. With either method, a pulsing circuit

    operates a contactor, which switches in a lower resistance for

    the grounding circuit. This increases the ground-fault current

    momentarily, enough for detection by ammeters or by a

    clamp-on detector [10].

    For an ungrounded system, a pulsating electronic signal

    injector (commonly referred to as a thumper circuit) is

    attached to the faulted network, and hand-held detectors sense

    the signal along the faulted circuit. The thumper circuit is an

    electronic oscillator within the audio frequency range and is

    coupled between the faulted phase and ground. The signal

    travels along the fault path, and is detected by a receivercircuit. Such test equipment is portable and only needs to be

    attached when looking for the fault.

    The current practices for locating ground faults have

    certain weaknesses, which have troubled many industrial

    operations. These weaknesses stem from three conditions that

    are frequently not considered by the localization methods.

    They are: 1) intermittent fault conditions; 2) multiple faults on

    the same phase; and 3) inverted ground faults [11]. A new

    location technique which can uniquely identifies a fault

    location by discerning the zero-sequence fault current is

    proposed [11].

    III. MODELING OF THE GROUNDING TRANSFORMER IN

    PSCAD/EMTDC

    As introduced in Section II, the internal connection of the

    zig-zag grounding transformer is illustrated in Figure 2. In

    PSCAD/EMTDC simulator, three single-phase 2-winding

    transformers are used to model the zig-zag grounding

    transformer. Oppositely connect the secondary winding of

    each single-phase transformer to the primary winding of next

    single-phase transformer in the sequence; a zig-zag grounding

    transformer model is obtained (Shown in Figure 5).

         #     1

         #     2

         #     1

         #     2

         #     1

         #     2

    Neutral Lead

    Line Leads

     Figure 5. The zig-zag grounding transformer model in PSCAD/EMTDC

     A. Topology of Delta-connected Transmission System with

    Grounding Transformer

    In addition to the grounding transformer model introduced

    in pervious section, a delta-connected transmission system is

    also constructed in PSCAD (shown in Figure 6). The

    grounding transformer is directly connected to the wye-delta

    source power transformer. System simulations and analyses

    will be taken place based on this system topology.

    Depends on different system data, in this system, a 0.04Ohm resistor is applied to this model as the winding

    impedance of this grounding transformer. Different balanced

    and unbalanced loads are connected to the system.A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

    Va

    5.0 [MW]

    Vb

    1  0  0  0  [   oh m ]  

     5  0  0  [   oh m ]  

    1  0  0  [   oh m ]  

    Vc

         #     1

         #     2

     0 . 0 

    4  [   oh m ]  

         #     1

         #     2

         #     1

         #     2

    Zig-Zag

    GroundingTransformer

    Balanced 3-phaseload Un-Balanced

    3-phase loadAnd more ...

     

    Figure 6. Delta-connected transmission system topology

    IV. SYSTEM SIMULATIONS AND VERIFICATIONS 

     A. Normal Operation

    As presented above, the grounding transformer creates a

    neutral point for the 3-wire delta-connected transmission

    system; therefore the original 3-phase ungrounded system is

    converted to 3-phase grounded system, which now can supply

    any unbalanced or single-phase loads. The unbalanced current

    will go to ground and pass through the grounding transformerback to the main transformer.

    The transmission system model is shown in Figure 7. The

    main power transformer is a wye/delta (115kV/27.6kV)

    transformer. Beside the main power transformer, a zig-zag

    grounding transformer is connected to the system. Therefore,

    a neutral point is obtained and connected to the ground.A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

    Va

    5.0 [MW]

    Vb

    1  0  0  0  [   oh m ]  

     5  0  0  [   oh m ]  

    1  0  0  [   oh m ]  

    Vc

         #     1

         #     2

     0 . 0 4  [   oh m ]  

         #     1

         #     2

         #     1

         #     2

         I_     F    a    u     l     t

         I    a_

         G    r    o    u    n     d

         I     b_

         G    r    o    u    n     d

         I    c_

         G    r    o    u    n     d

     Figure 7. 115/27.6 kV wye/delta transmission system with grounding

    transformer

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    Scenario 1. With Un-balanced loading

    As shown in Figure 7, the system is powering some

    balanced loads and some un-balanced loads. With

    PSCAD/EMTDC simulator, an un-balanced current, I_Fault 

    (about 0.14kA, shown in Figure 8), is measured in the

    grounding transformer.Main : Graphs

    s 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160

    -0.20

    -0.10

    0.00

    0.10

    0.20

      y   [   K   A   ]

    I_Fault

     

    Figure 8. Un-balanced ground current

    By measuring the currents in each winding of the

    grounding transformer, 3 current signals, Ia_Ground,

    Ib_Ground, and Ic_Ground  are also measured and shown in

    Figure 9.Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160  

    -0.20

    -0.10

    0.00

    0.10

    0.20

      y   (   K   A   )

    I_Fault Ia_Ground

     Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160

    -0.20

    -0.10

    0.00

    0.10

    0.20

        y     [     k     A     ]

    I_Fault Ib_Ground

     Main : Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160

    -0.20

    -0.10

    0.00

    0.10

    0.20

        y     [     k     A     ]

    I_Fault Ic_Ground

     

    Figure 9. Un-balanced ground current vs. three currents in individual winding of

    the grounding transformer

    From Figure 9, we can see that the grounding transformer

    creates a path for the un-balanced current, and also divides

    the ground current to three in-phase, equal components. This

    also verified one of the very important characteristics of the

    grounding transformer, which we mentioned in Section II-A.

    Scenario 2: With Balanced Loading

    If the un-balanced load is disconnected from this system,

    with the simulation, an almost zero kA current is measured in

    grounding transformer (shown in Figure 10), which verifies

    that the grounding transformer has very high impedance to

    balanced three-phase currents.Main : Graphs

    s 0.020 0.040 0.060 0.080 0.100 0.120 0.140

    -0.20

    -0.10

    0.00

    0.10

    0.20

      y   [   K   A   ]

    I_Fault

     

    Figure 10. Ground current with balanced loading

     B. Fault Analyses and Simulation Verifications

    From the above simulation, it is clear that the grounding

    transformer creates a neutral point for the transmission

    system, and allows the un-balanced ground current pass by. In

    addition, when the phase-to-ground fault is applied to the

    system, the grounding transformer will also create a path for

    the fault current. Mean while, the fault current will be sensed

    by the CTs for the protection purpose. More important

    characteristic, the grounding transformer has, is the grounding

    transformer minimizes the overvltage on other un-faulted

    phases, which will be simulated and analysed in this Section.

    Scenario 1: Phase A to Ground Fault Applied

    On this wye/delta transmission system, if a fault is applied

    on the Phase A to ground during 0.08s to 0.12s shown in

    Figure 11. Because the fault is applied on the Phase A, thevoltage on phase A will be dramatically decreased. However,

    the voltage on Phase B and C are still maintained nearly at the

    normal operating rate. Simulation verification is shown in

    Figure 12 and Figure 13.A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

    Va

    5.0 [MW]

    Vb

    1  0  0  0  [   oh m ]  

     5  0  0  [   oh m ]  

    1  0  0  [   oh m ]  

    Vc

         #     1

         #     2

     0 . 0 4  [   oh m ]  

         #     1

         #     2

         #     1

         #     2

         I_     F    a    u

         l     t

         I    a_

         G    r    o    u    n

         d

         I     b_

         G    r    o    u    n

         d

         I    c_

         G    r    o    u    n

         d

         T     i    m    e

         d

         F    a    u

         l     t

         L    o    g

         i    c

         F     A     U     L     T     S

         C     B     A

         A   -    >

         G

     Figure 11. Fault applied between Phase A and ground

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    Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160  

    -30

    -20

    -10

    0

    10

    20

    30

      y   (   K   V   )

    Va Vb Vc

     

    Figure 12. Phase voltages under Phase A to ground fault condition

    Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160  

    -200

    -150

    -100

    -50

    0

    50

    100

    150

    200

      y   (   K   A   )

    I_Fault Ia_Ground

     

    Figure 13. Ground current under Phase A to ground fault condition

    Scenario 2: Phase A and Phase B to Ground Fault

    In some cases, some faults could be applied between two

    phases and ground. In Figure 14, one scenario, phase A and

    Phase B fault to ground is shown. With the grounding

    transformer connected to the system, the Phase C voltage

    should be maintained at the normal operation level. The

    simulation result again verified this conclusion, which is

    shown in Figure 15 and Figure 16.A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

    Va

    5.0 [MW]

    Vb

    1  0  0  0  [   oh m ]  

     5  0  0  [   oh m ]  

    1  0  0  [   oh m ]  

    Vc

         #     1

         #     2

     0 . 0 4  [   oh m ]  

         #     1

         #     2

         #     1

         #     2

         I_     F    a    u

         l     t

         I    a_

         G    r    o    u    n

         d

         I     b_

         G    r    o    u    n

         d

         I    c_

         G    r    o    u    n

         d

         T     i    m    e

         d

         F    a    u

         l     t

         L    o    g

         i    c

         F     A     U     L     T     S

         C     B     A

         A     B

       -    >     G

     Figure 14. Fault applied between Phase A, Phase B and ground

    Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160  

    -30

    -20

    -10

    0

    10

    20

    30

      y   (   K   V   )

    Va Vb Vc

     

    Figure 15. Phase voltages under Phase A and Phase B to ground condition

    Main: Graphs

    [s] 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160  

    -200

    -150

    -100

    -50

    0

    50

    100

    150

    200

      y   (   K   A   )

    I_Fault Ia_Ground

     Figure 16. Ground current under Phase A and B to ground fault condition

    V. REVENUE METERING SYSTEM INSTALLATION ON THREE-

    PHASE UNGROUNDED SYSTEMS 

    Currently, in Ontario Electricity market, the utility

    companies are conducting the wholesale revenue metering

    system upgrade. According to the standard, the new metering

    installations in the IESO-administered market shall conform

    to Blondel’s Theorem. On this wye/delta with grounding

    transformer system (shown in Figure 17), if the metering

    system will be installed at point between the power

    transformer and the grounding transformer, two elementscould be selected because the power source is a three-phase;

    three-wire system before the grounding transformer.

    However, if the metering installation point is selected after the

    grounding transformer, a three-element system must be

    installed because the power source now actually is a three-

    phase; 4-wire system.

    If a 3-element metering system is considered, it can be

    concluded that there is no difference between installation

    before grounding transformer point and installation after

    grounding transformer point (shown in Figure 17). In

    addition, because the distance between these two points is

    only few meters physically. The line impedance between thesetwo points sure can be neglected. Therefore, no voltage

    difference should be considered between these two points.

    The metering instrument transformers, such as VTs, the

    connections are shunt connection on the system. Usually they

    are used as single purpose to supply the meters. Depends on

    the VT’s secondary loads, but normally the loads are very

    light. So the VT’s impedance to the system is very high.

    Probably, only few mA current is drawn from the line on

    which the VT is connected. Compare to the hundred and

    thousand amperes fault current, this mA current definitely

    could be neglected. The metering system will sure not affect

    the relaying system at all unless the metering system itself

    causes the faults on the system.

    After all, the metering system itself could be treated as a

    normal 3-phase load on the system, but just very light load.

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      8

    A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

    Va

    Vb

    1  0  0  0  [   oh m ]  

     5  0  0  [   oh m ]  

    1  0  0  [   oh m ]  

    Vc

         #     1

         #     2

         I    a_

         G    r    o    u    n     d

         I     b_

         G    r    o    u    n     d

         #     1

         #     2

         #     1

         #     2

    5.0 [MW]

         I    c_

         G    r    o    u    n     d

    BeforeGroundingTransformerPoint

    AfterGroundingTransformerPoint

         I_     F    a    u     l     t

     0 . 0 4  [   oh m ]  

     

    Figure 17. Potential revenue metering system installation points before or after

    grounding transformer

    The electric power systems, which are operated with no

    intentional ground connection to the system conductors, are

    generally described as ungrounded. In reality, these systemsare grounded through the system capacitance to ground

    (shown in Figure 18). The line conductors have capacitances

    between one another and to ground, as presented by the delta-

    and the wye-connected sets of capacitances. In most systems,

    this is extremely high impedance, and the resulting system

    relationships to ground are weak and easily distorted.

    If one conductor, for example phase A, becomes faulted to

    the ground, the line A to ground voltage will be close to zero

    voltage, and the line B and C to ground voltage will increase

    to phase-to-phase voltage.A

    B

    C

    A

    B

    C27.6 [kV]

    #2#1

    115.0 [kV]

    50.0 [MVA]A

    B

    C

    RRL

    RRL

    RRL

     Figure 18. Three-phase ungrounded system

    This overvoltage is 1.732 times the voltage normally on the

    insulation. This sustained overvoltage or the transient

    overvoltages on the ungrounded system may not immediately

    cause failure of insulation, but may tend to reduce the life ofthe insulation.

    For metering system installation on above ungrounded

    system, the voltage classes of CTs, VTs, and other

    instruments should be carefully considered.

    VI. CONCLUSIONS 

    In this paper, first of all, the state of the art of the

    grounding transformer is reviewed. Then, the electrical model

    of the grounding transformer is built in PSCAD/EMTDC

    simulator, and different scenarios are simulated and verified

    under different conditions. Finally, the concern from the

    revenue metering system installation on wye/delta

    transmission systems in Ontario power network is addressed.

    VII. REFERENCES 

    [1] 

    Electrical Transmission and Distribution Reference Book, ABB, 1997.

    [2] 

    IEEE Recommended Practice for Grounding of Industrial and Commercial

    Power System, IEEE Std 142-1991, June 1991.

    [3] 

    IEEE Guide for the Application of Neutral Grounding in Electrical Utility

    Systems, Part IV—Distribution, IEEE C62.92.4-1991, December 1992.

    [4]  Edson R. Detjen, and Kanu R. Shah, “Grounding Transformer

    Applications and Associated Protection Schemes”, IEEE Transactions on

    Industry applications, Vol. 28, N0.4, July / August 1992

    [5] 

    L. J. Carpenter, “Connecting a Grounding Transformer to the System”,

    General Electric Co., GER-1062.

    [6] 

    Peter E. Sutherland, “Application of Transformer Ground Differential

    Protection Relays”, IEEE Transactions on Industry applications, Vol. 36,

    NO. 1, January/February 2000

    [7] 

    http://en.wikipedia.org/wiki/Zigzag_transformer

    [8] 

    http://ecmweb.com/mag/electric_basics_zigzag_transformers

    [9]  D. J. Love and N. Hashemi, “Considerations for ground fault protection in

    medium-voltage industrial and cogeneration systems,” IEEE Trans. Ind.

    Applicat., vol. 24, pp. 548–553, July/Aug. 1988.

    [10] 

    D. H. Lubich, Sr, “High resistance grounding and fault finding on three

    phase three wire (Delta) power systems,” IEEE Paper-7803–4090-6/97,

    1997.

    [11] 

    T. Baldwin, F. Renovich, L. Saunders, and D. Lubkeman, “Fault locating

    in ungrounded and high-resistance grounded systems,” IEEE Trans. Ind.

    Applicat., vol. 37, pp. 1152–1159, July/Aug. 2001.

    VIII. BIOGRAPHIES 

    Mike Shen  (Member’2006) was born in Jiangsu,

    China, in 1972. He received the B.Sc. degree in

    electrical engineering from Jiangsu University,

    Jiangsu, China, in 1994, and the MASc degree in

    electrical engineering from the University of

    Waterloo, Waterloo, Ontario, Canada, in 2006. His

    research interests are power system protection,

    control and telecommunication, distributed

    generation, SCADA system, metering system, power

    quality, power electronics, electrical control,

    electromechanical systems.

    Mr. Shen has over 10 years of professional experiences in Electrical Engineering

    from Electrical Automation, Mechatronics, AC/DC Motor Drives, Power

    Electronics, Substation Automation, SCADA Systems, Power System Protection

    and Control, Distributed Generation, Demand-side Management, Renewable

    Energy, Electric System Modeling and Simulations. Currently, He is employed

    at Wardrop Engineering Inc. as a design engineer.