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International Journal of Scientific Research and Engineering Development-– Volume 3 Issue 6, 2020 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 776 Modelling and Testing of a Numerical Pilot Distance Relay for Compensated Transmission Lines Mohammad M. Almomani*, Seba F. Algharaibeh** * Electrical engineering department, engineering college, Mutah university, Jordan, Email:[email protected] * Electrical engineering department, engineering college, Mutah university, Jordan Email: [email protected],[email protected] * Corresponding Author: [email protected] , Tel.: +00-962-796515220 ----------------------------------------************************---------------------------------- Abstract: Flexible AC transmission system (FACTS) technologies are wildly used in the high voltage and extra-high voltage AC transmission systems to control the power flow. The existence of FACTS devices in the transmission lines makes a misoperation of the traditional distance relay. In this paper, a new special pilot distance protection scheme is presented for any compensated transmission line. This scheme is valid for any type of FACTS device (shunt, series, and compound) and different operation points (capacitive mode or inductive mode). The proposed scheme is modeled and tested in MATLAB 2020a/Simulink. The model includes a fault detection algorithm, phase selection, measured impedance, and five zones mho characteristic. The proposed scheme includes two additional reversed zones with the three traditional zones. The model is verified under deferent fault scenarios, including single-line to ground faults, double-line faults, double-line to ground faults, and three-phase faults. The results show the model robustness for different FACTS devices, including Static synchronous compensator (STATCOM), static synchronous series compensator (SSSC), and unified power flow controller (UPFC) as examples on the shunt, series, and compound FACTS devices respectively. All results show that the relay operates correctly under different FACTD device locations, different types of faults, different types of FACTS devices, and different operation points. Keywords: FACTS device, Distance Relay, compensated transmission line, modeling, UPFC. ----------------------------------------************************-------------------------------- 1. INTRODUCTION Selectivity, sensitivity, and time of tripping are the most important criteria in any protection system. In the high voltage and ultra high voltage transmission system, these criteria are more important than other systems due to the stability limitation in addition to its thermal capability. In the modern interconnected power systems, the FACTS devices are widely used to achieve optimal load flow with minimum losses and maximum loadability. The traditional distance relay will operate incorrectly (under/overreach) for compensated transmission lines due to the device impedance. Different researchers present the performance of the distance relay in compensated transmission lines [1-10]. The impact of different FACTS devices including SSSC, STATCOM, and UPFC on the apparent impedance by the distance relay is discussed in [1]. The results show that the apparent impedance of the fault is highly dependent on the presence of the FACTS device, their type, and control parameters setting. In [2], the impact of delta connection MMC STATCOM on the distance protection using hardware in the loop is presented. In this study different operation points of the STATCOM are not considered, so only the under- reach problem is observed. From this study, the Impact of STATCOM on distance relay in case of

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  • International Journal of Scientific Research and Engineering Development-– Volume 3 Issue 6, 2020

    Available at www.ijsred.com

    ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 776

    Modelling and Testing of a Numerical Pilot Distance Relay for

    Compensated Transmission Lines Mohammad M. Almomani*, Seba F. Algharaibeh**

    *Electrical engineering department, engineering college, Mutah university, Jordan, Email:[email protected] *Electrical engineering department, engineering college, Mutah university, Jordan

    Email: [email protected],[email protected] *Corresponding Author: [email protected] , Tel.: +00-962-796515220

    ----------------------------------------************************----------------------------------

    Abstract: Flexible AC transmission system (FACTS) technologies are wildly used in the high voltage and

    extra-high voltage AC transmission systems to control the power flow. The existence of FACTS devices in

    the transmission lines makes a misoperation of the traditional distance relay. In this paper, a new special

    pilot distance protection scheme is presented for any compensated transmission line. This scheme is valid

    for any type of FACTS device (shunt, series, and compound) and different operation points (capacitive mode

    or inductive mode). The proposed scheme is modeled and tested in MATLAB 2020a/Simulink. The model

    includes a fault detection algorithm, phase selection, measured impedance, and five zones mho

    characteristic. The proposed scheme includes two additional reversed zones with the three traditional zones.

    The model is verified under deferent fault scenarios, including single-line to ground faults, double-line

    faults, double-line to ground faults, and three-phase faults. The results show the model robustness for

    different FACTS devices, including Static synchronous compensator (STATCOM), static synchronous

    series compensator (SSSC), and unified power flow controller (UPFC) as examples on the shunt, series, and

    compound FACTS devices respectively. All results show that the relay operates correctly under different

    FACTD device locations, different types of faults, different types of FACTS devices, and different operation

    points.

    Keywords: FACTS device, Distance Relay, compensated transmission line, modeling, UPFC.

    ----------------------------------------************************--------------------------------

    1. INTRODUCTION

    Selectivity, sensitivity, and time of tripping are

    the most important criteria in any protection

    system. In the high voltage and ultra high voltage

    transmission system, these criteria are more

    important than other systems due to the stability

    limitation in addition to its thermal capability. In

    the modern interconnected power systems, the

    FACTS devices are widely used to achieve optimal

    load flow with minimum losses and maximum

    loadability. The traditional distance relay will

    operate incorrectly (under/overreach) for

    compensated transmission lines due to the device

    impedance.

    Different researchers present the performance of

    the distance relay in compensated transmission

    lines [1-10]. The impact of different FACTS

    devices including SSSC, STATCOM, and UPFC

    on the apparent impedance by the distance relay is

    discussed in [1]. The results show that the apparent

    impedance of the fault is highly dependent on the

    presence of the FACTS device, their type, and

    control parameters setting. In [2], the impact of

    delta connection MMC STATCOM on the distance

    protection using hardware in the loop is presented.

    In this study different operation points of the

    STATCOM are not considered, so only the under-

    reach problem is observed. From this study, the

    Impact of STATCOM on distance relay in case of

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    external fault is less than in the case of an internal

    fault. At the certain operation point (and control

    parameter setting) the under reach problem is

    observed higher in three-phase fault than single-

    phase fault. The impact of shunt transmission line

    capacitance on distance relay for SSSC

    compensated transmission line in case of single-

    phase fault is presented in [9]. The result shows

    that the analysis of the apparent impedance is less

    accurate when the shunt transmission line

    capacitance is ignored. The effect of shunt

    capacitance depends on the compensation level.

    So, some under reach cases may be observed if a

    fault is accrued in the first zone (if the shunt

    capacitance is ignored) and overreach problem in

    case of a fault occurs in second and third zones. In

    summary, the traditional relay still not be able to

    detect the zones boundary correctly in

    compensated transmission lines. The modeling of

    the traditional distance relay in

    MATLAB/SIMULINK is proposed in [11-15]. In

    [11], a three-zone mho characteristic is modeled in

    MATLAB/Simulink. The results show that the

    software (MATLAB) is capable of being used to

    simulate any protection relays. Researchers in [12]

    presented a model of three stepped zones mho

    distance relay. The model is valid for different

    types of faults and different locations. The basic

    principles of a digital distance relay and some

    related filtering techniques are described in [13].

    Three zones mho type distance relay is

    implemented using the SimPowerSystem toolbox

    in MATLAB in [14]. In this research, the non-pilot

    distance relay for the uncompensated transmission

    line is modeled and tested for different fault types

    and locations.

    In this paper, a new pilot distance scheme is

    proposed to increase the robustness of the distance

    relay in a compensated transmission line.

    Modeling of a digital distance relay is also

    presented to validate the proposed scheme. The

    structure of the paper is prepared as follows:

    principle operation of the digital distance relay is

    proposed in section II. Section III presents the

    proposed scheme. Modeling and simulation of the

    proposed scheme are shown in section IV.

    Validation tests for different faults at different

    locations for different types of FACTS

    compensated lines are presented in section V.

    2. PRINCIPLE OPERATION

    A distance protective relay detects the fault

    based on the measuring impedance between the

    current transformer point and fault location. To

    apply this simple concept, it is necessary to

    identify seven loops to cover all types of faults. For

    all loops the basic equation is used:

    𝑍𝑚 =𝑉𝑚𝐼𝑚

    (1)

    The measured impedance (𝑍𝑚) is based on the measured voltage (𝑉𝑚) and current (𝐼𝑚). The relation between measured impedance in the

    secondary side (of the current and voltage

    transformers, CT and VT) and the actual

    impedance is given by:

    𝑍𝑚 = 𝑍𝐿 𝐶𝑇𝑟𝑎𝑡𝑖𝑜𝑛𝑉𝑇𝑟𝑎𝑡𝑖𝑜𝑛

    (2)

    Where 𝑍𝐿: the actual line impedance. The difference between the loops is the definition of the

    measured voltage and the measured current,

    𝑉𝑚 𝑎𝑛𝑑 𝐼𝑚. The table below shows the measured voltage and current, which are used in equation (1)

    for the seven loops. TABLE I

    MEASURED QUANTITY DEFINITION OF THE SEVEN LOOPS.

    Fault loop Measured

    voltage (𝑽𝒎) Measured

    current (𝑰𝒎) A-G 𝑉𝐴 𝐼𝐴 + 𝐾0𝐼0 B-G 𝑉𝐵 𝐼𝐵 + 𝐾0𝐼0 C-G 𝑉𝐶 𝐼𝐶 + 𝐾0𝐼0 A-B / A-B-G 𝑉𝐴 − 𝑉𝐵 𝐼𝐴 − 𝐼𝐵 B-C / B-C-G 𝑉𝐵 − 𝑉𝐶 𝐼𝐵 − 𝐼𝐶 C-A / C-A-G 𝑉𝐶 − 𝑉𝐴 𝐼𝐶 − 𝐼𝐴 A-B-C 𝑉𝐴 𝑜𝑟 𝑉𝐵 𝑜𝑟 𝑉𝐶 𝐼𝐴 𝑜𝑟 𝐼𝐵 𝑜𝑟 𝐼𝐶

    Where 𝐾0 = 𝑍0−𝑍1

    𝑍1 , 𝑍0, 𝑍1: zero and positive

    sequence impedance and 𝐼0 :zero sequence current. When a fault occurs on the line, fault with

    impedance, the measured impedance is given by:

    𝑍𝑚 = 𝑚 𝑍𝐿 + 𝑅𝑓

    Where 𝑚 =𝐿𝑓

    𝐿 , 𝐿𝑓: the distance between relay

    point and fault location. L: total length of the

    protected line. 𝑅𝑓: Fault resistance. The measured

    impedance when a fault occurs is very less than the

    measured impedance at normal load. Based on this

    concept, the distance relay characteristic can be

    implemented. To ensure the correct fault direction,

    the first quarter of the R-X plane refers to the

    forwarded fault, and the third quarter refers to

    reverse fault location. MHO-characteristic is one

    of the most common distance relay characteristics.

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    Figure (1) shows the traditional three-stepped

    zones mho characteristic.

    Z1

    Z2Z3

    R

    X

    θ

    Fig. 1. three zones MHO characteristic

    Zone (1) is the main protection to the line;

    typically, it covers 80-85 % of the line and trips

    instantaneously. Zone (2) and (3) are the backup

    for the next station and the next line. These zones

    are typically set to cover 120-150% and 180-220%

    of the line, respectively. The time operation of the

    second and third zones may set to 0.25-0.4s and

    0.35-0.45s, respectively.

    The existence of a series FACTS device (line

    impedance compensator) on the transmission line

    decreases/increases (based on its operation) the

    measured impedance by the distance relay. For

    example, if a series-FACTS device absorbs

    reactive power, the measured impedance will be

    greater than the actual impedance, and the relay

    will operate under-reach. If the device delivers

    reactive power, the measured impedance will be

    less than the actual, and the relay will operate

    overreach. In addition to that, the measured

    impedance argument will change clockwise or

    counterclockwise based on the operation point of

    the device. For more details, the FACTS device

    may be divided into:

    Voltage regulators: change the magnitude of the

    voltage at the sending end to control both real and

    reactive power flows. e.g., STATCOM, SVC,

    TCVR, SVS-based voltage regulator. These

    controllers should have a shunt part to inject

    current (so reactive power) to the system at a

    controlled point. The shunt impedance, which is

    parallel with the actual impedance, will

    increase/decrease the measured impedance based

    on its operation.

    Line Impedance compensators: induce a

    controlled capacitance or inductance in series with

    the line. e.g: TCSC, SSSC. These devices should

    have a series-part to inject voltage out of phase to

    the line current by ±90⁰. So the measured

    impedance and its angle may be greater than the

    actual, or less than the actual.

    Phase angle regulation (Phase shift): these types

    of FACTS devices change the angle of voltage, and

    the magnitude does not change. These devices

    change the measured impedance argument only

    positively or negatively.

    Unified power flow controller (UPFC): this

    special configuration may change all line

    parameters to control both real and reactive power

    independently. This configuration has series and

    shunts VSC connected via a DC link (capacitor).

    Based on the operation principle of the FACTS,

    the mho characteristic is better than other

    characteristics if the phase angle regulator is used.

    Otherwise, all characteristics (MHO, quadratic …)

    will be affected by the FACTS.

    3. PROPOSED SCHEME

    The proposed scheme is based on a pilot distance

    relay to overcome the problem of under/overreach

    of distance relay due to the FACTS device. The

    proposed scheme uses a block comparison signal

    (BCS) and trip communication channel:

    permissive under/ over reach trip (PUTT/POTT)

    and direct trip. Referring to figure (2) The

    proposed scheme is summarized as follow:

    RARB

    FACTS

    Communication channel

    Fig. 2. single line diagram of the compensated transmission line protected

    by a pilot distance relay.

    If the FACTS device was installed at the end of

    the line (behind relay RA)

    BCS: if any relay (A or B) detects a fault in the

    reverse region, it will send a block signal to the

    other relay. If a relay receives a block signal, it

    should deactivate its forward zones.

    Trip scheme: if relay RB detects a fault in its

    zone 1, it will send a direct trip to relay RA. If relay

    RB detects a fault in its zone 2, it will send a

    permissive trip to relay RA. If relay RA detects a

    fault in its zone 1 or 2, it will send a permissive trip

    to relay RB. Any relay receives a direct trip; it will

    trip without any condition. Any relay receives a

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    permissive trip and feels the fault in its forward

    direction; it will trip instantaneously.

    If the FACTS device is installed at the middle of

    the line:

    BCS: same as the previous case.

    Trip scheme: if any relay detects a fault in its

    zone 1 or 2, it will send a permissive trip to the

    other relay. If any relay receives a permissive trip

    and feels the fault in its forward direction, it will

    trip directly.

    For both previous cases, two additional reverse

    zones are needed to cover the traditional zone 2 and

    zone 3. Figure 3 shows the additional zones. The

    reach setting of the zone (R1) equal to the (Z2-ZL)

    with tripping time equal to the traditional zone two

    operation time. For zone (R2), the reach

    impedance equal to (Z3-ZL) with tripping time

    equal to the traditional zone three operation time.

    Where Z2: reach impedance of the traditional zone

    2. Z3: reach impedance of the traditional zone 3.

    ZL: protected line impedance.

    Fig. 3. Proposed impedance diagram

    Modeling of the proposed scheme

    In this section, modeling, simulation, and testing

    of three zones of traditional distance relay and the

    proposed scheme are presented. The model of the

    distance relay consists of:

    Pre-Processing Block: this block consist of a

    low-frequency filter and phase-locked loop in

    addition to a Fourier analyzer, which is needed to

    get a fundamental signal of the measured voltage

    and current.

    Fault detection: detect the faulty phase during a

    fault.

    Phase selection: to select a faulty loop based on

    fault detection technique.

    Measured impedance: for a faulty loop, the

    measured impedance can be calculated based on

    table1.

    The fault detection algorithm compares the

    impedance for each phase with the impedance of

    zone 3 with the margin factor. The mask

    parameters and relay settings are seen in figure 5.

    Figure 6 shows the faulty phase detection

    algorithm. The loop selection technique (fault type

    classification) is shown in figure 7. This algorithm

    uses the Karnaugh-Maps technique [16]. One

    faulty loop should be selected in this block (table

    1).

    The measured impedance block of loop A-G and

    the trip algorithm block are shown in Figures 8 and

    9. Figure 8 applied the equations in table 1. Each

    faulty loop has its measured impedance block. The

    proposed tripping characteristic, figure 3, is used

    in figure 9. It can be easily seen in figure 9 all

    tripping zones (Z1, Z2, Z3, R1, and R2). The

    permissive receive signal is an effect on the

    operation time of the second and third zones, it is

    seen in the figure. Finlay from this figure, it can be

    seen the block algorithm, when a fault is observed

    in the reverse direction. The seven-loop blocks are

    shown in figure 10. This model is tested for non-

    compensated transmission lines at all fault types

    and different locations in each zone and the edge

    of each zone. The result in table 2 shows that the

    relay works correctly in all zones for any type of

    fault. Where Z1, Z2, and Z3 refer to zone 1, 2, and

    3 operate respectively. N/O: not operate. The relay

    setting is shown in figure 5.

    Fig. 4. System understudy

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    Fig. 5. Parameter setting of the relay mask

    Fig. 6. The faulty phase detection block

    Fig. 7. Fault type classification

    Fig. 8. Measured impedance block (A-G loop)

    Fig. 9. Tripping algorithm block (loop A-G)

    Fig. 10. Seven loops block diagram

    Fig. 11. Measured impedance in zone one.

    The measured impedance is drowned in the R-X

    plan in Figure 11. This figure shows the measured

    impedance in zone 1 without the FACTS device.

    The effect of a FACTS device in the line may

    increase or decrease the measured impedance by

    the relay based on its operation. TABLE III

    Test results of the proposed model

    Fault

    type

    Fault Location

    79% 80% 119% 120% 149% 150%

    A-G Z1 Z2 Z2 Z3 Z3 N/O

    B-G Z1 Z2 Z2 Z3 Z3 N/O

    C-G Z1 Z2 Z2 Z3 Z3 N/O

    A-B Z1 Z2 Z2 Z3 Z3 N/O

    A-B-G Z1 Z2 Z2 Z3 Z3 N/O

    B-C Z1 Z2 Z2 Z3 Z3 N/O

    B-C-G Z1 Z2 Z2 Z3 Z3 N/O

    C-A Z1 Z2 Z2 Z3 Z3 N/O

    C-A-G Z1 Z2 Z2 Z3 Z3 N/O

    A-B-C Z1 Z2 Z2 Z3 Z3 N/O

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    4. MODEL VALIDATION AND RESULTS

    In this section, UPFC, SSSC, and STATCOM

    are selected to validate the proposed scheme. Two

    Different locations of the FACTS device are

    studied; at the line end and in the middle of the line.

    Figures 12 shows the single line diagram of the

    first scenario. F1, F2, F3, F4, and F5 are different

    fault locations. The relays RA and RB have the

    same setting: zone 1 reach = 80 km, zone 2 reach

    =120 km, zone 3 reach =150 km. zone 2 time

    operation= 400ms Zone 3 time operation= 800ms.

    For different fault types, this study is conducting

    using traditional distance relay and proposed

    schemes at different operation points of the

    FACTS. Table 3 shows the power flow in two

    different operation cases. Tables 4, 5, 6, and 7

    show the results of different scenarios.

    Tables 4 and 5 show the misoperation of the

    traditional three zones mho characteristic relays

    (yellow labels). All these misoperations are solved

    by the proposed scheme (tables 5-6). The results

    show that the proposed scheme can solve any

    under/overreach in the relay for any FACTS

    device. From tables 5 and 6, Z2P and Z3P are the

    permissive zone 2 and 3 respectively. The trip time

    of the permissive forward zones are instantaneous,

    so it is similar to the first zone time operation. The

    corrections in the proposed scheme, tables 5 and6,

    are shown in the green label. Some of these

    corrections are improved the traditional relay

    operation for the uncompensated transmission

    lines. This scheme can handle the faults with

    resistance better than the traditional relays

    RAFACTS RB

    0

    40

    70

    90

    100

    130

    30

    Distance (Km)

    F1

    F2 F3 F4

    F5

    Fig. 12. Single line diagram of the first scenario.

    Table III power flow for two different operation points.

    Case Operation point

    Without FACTS S= 100 MW+ j 50 MVAR

    UPFC case 1 S= 130 MW+ j25 MVAR

    UPFC case 2 S= 80 MW+ j 75 MVAR

    STATCOM case 1 Q= 25 MVAR

    STATCOM case 2 Q= 75 MVAR

    SSSC case 1 Injection voltage = +0.1 Pu

    SSSC case 2 Injection voltage =-0.1 Pu

    Table IV

    Traditional Relay operation zones, operation point 1.

    Fault location Fault

    type

    Without FACTS UPFC SSSC STATCOM

    RA RB RA RB RA RB RA RB

    F1(30km) A-G N/O Z3 N/O N/O N/O N/O N/O Z3

    B-C N/O Z3 N/O N/O N/O N/O N/O Z3

    A-C-G N/O Z3 N/O N/O N/O N/O N/O Z3

    A-B-C N/O Z3 N/O N/O N/O N/O N/O Z3

    F2(40 km) A-G Z1 Z1 N/O Z1 N/O Z1 Z1 Z1

    B-C Z1 Z1 Z2 Z1 Z2 Z1 Z1 Z1

    A-C-G Z1 Z1 Z2 Z1 Z2 Z1 Z1 Z1

    A-B-C Z1 Z1 Z2 Z1 Z2 Z1 Z1 Z1

    F3(70 km) A-G Z1 Z1 N/O Z1 N/O Z1 Z1 Z1

    B-C Z1 Z1 Z3 Z1 Z3 Z1 Z1 Z1

    A-C-G Z1 Z1 Z3 Z1 Z3 Z1 Z1 Z1

    A-B-C Z1 Z1 Z2 Z1 Z3 Z1 Z1 Z1

    F4(90km) A-G Z2 Z1 N/O Z1 N/O Z1 Z2 Z1

    B-C Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    A-C-G Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    A-B-C Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    F5(130km) A-G Z3 N/O N/O N/O N/O N/O Z3 N/O

    B-C Z3 N/O N/O N/O N/O N/O Z3 N/O

    A-C-G Z3 N/O N/O N/O N/O N/O Z3 N/O

    A-B-C Z3 N/O N/O N/O N/O N/O Z3 N/O Table V

    Traditional Relay operation zones, operation point 2.

    Fault location Fault

    type

    Without FACTS UPFC SSSC STATCOM

    RA RB RA RB RA RB RA RB

    F1(-30km) A-G N/O Z3 N/O N/O N/O N/O N/O Z3

    B-C N/O Z3 N/O N/O N/O N/O N/O Z3

    A-C-G N/O Z3 N/O N/O N/O N/O N/O Z3

    A-B-C N/O Z3 N/O N/O N/O N/O N/O Z3

    F2(40 km) A-G Z1 Z1 Z3 Z1 Z2 Z1 Z1 Z1

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    Fault location Fault

    type

    Without FACTS UPFC SSSC STATCOM

    RA RB RA RB RA RB RA RB

    B-C Z1 Z1 Z2 Z1 Z3 Z1 Z1 Z1

    A-C-G Z1 Z1 Z2 Z1 Z3 Z1 Z1 Z1

    A-B-C Z1 Z1 Z2 Z1 Z3 Z1 Z1 Z1

    F3(70 km) A-G Z1 Z1 Z3 Z1 Z2 Z1 Z1 Z1

    B-C Z1 Z1 Z3 Z1 Z3 Z1 Z1 Z1

    A-C-G Z1 Z1 Z3 Z1 Z3 Z1 Z1 Z1

    A-B-C Z1 Z1 Z3 Z1 Z3 Z1 Z1 Z1

    F4(90km) A-G Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    B-C Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    A-C-G Z2 Z1 Z3 Z1 Z3 Z1 Z2 Z1

    A-B-C Z2 Z1 Z3 Z1 Z2 Z1 Z2 Z1

    F5(130km) A-G Z3 N/O N/O N/O N/O N/O Z3 N/O

    B-C Z3 N/O N/O N/O N/O N/O Z3 N/O

    A-C-G Z3 N/O N/O N/O N/O N/O Z3 N/O

    A-B-C Z3 N/O N/O N/O N/O N/O Z3 N/O Table VI

    proposed scheme Relay operation zones. (operation point 1)

    Fault location Fault

    type

    Without FACTS UPFC SSSC STATCOM

    RA RB RA RB RA RB RA RB

    F1(-30km) A-G R3 N/O R3 N/O R3 N/O R3 N/O

    B-C R3 N/O R3 N/O R3 N/O R3 N/O

    A-C-G R3 N/O R3 N/O R3 N/O R3 N/O

    A-B-C R3 N/O R3 N/O R3 N/O R3 N/O

    F2(40 km) A-G Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    B-C Z1 Z1 Z2P Z1 Z2P Z1 Z1 Z1

    A-C-G Z1 Z1 Z2P Z1 Z2P Z1 Z1 Z1

    A-B-C Z1 Z1 Z2P Z1 Z2P Z1 Z1 Z1

    F3(70 km) A-G Z1 Z1 Z2P Z1 Z2P Z1 Z1 Z1

    B-C Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    A-C-G Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    A-B-C Z1 Z1 Z2P Z1 Z3P Z1 Z1 Z1

    F4(90km) A-G Z2P Z1 Z3P Z1 Z3P Z1 Z2 Z1

    B-C Z2P Z1 Z3P Z1 Z3P Z1 Z2 Z1

    A-C-G Z2P Z1 Z3P Z1 Z3P Z1 Z2 Z1

    A-B-C Z2P Z1 Z3P Z1 Z3P Z1 Z2 Z1

    F5(130km) A-G N/O R3 N/O R3 N/O R3 N/O R3

    B-C N/O R3 N/O R3 N/O R3 N/O R3

    A-C-G N/O R3 N/O R3 N/O R3 N/O R3

    A-B-C N/O R3 N/O R3 N/O R3 N/O R3 Table VII

    proposed scheme Relay operation zones. (operation point 2)

    Fault location Fault

    type

    Without FACTS UPFC SSSC STATCOM

    RA RB RA RB RA RB RA RB

    F1(-30km) A-G R3 N/O R3 N/O R3 N/O R3 N/O

    B-C R3 N/O R3 N/O R3 N/O R3 N/O

    A-C-G R3 N/O R3 N/O R3 N/O R3 N/O

    A-B-C R3 N/O R3 N/O R3 N/O R3 N/O

    F2(40 km) A-G Z1 Z1 Z3P Z1 Z2P Z1 Z1 Z1

    B-C Z1 Z1 Z2P Z1 Z3P Z1 Z1 Z1

    A-C-G Z1 Z1 Z2P Z1 Z3P Z1 Z1 Z1

    A-B-C Z1 Z1 Z2P Z1 Z3P Z1 Z1 Z1

    F3(70 km) A-G Z1 Z1 Z3P Z1 Z2P Z1 Z1 Z1

    B-C Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    A-C-G Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    A-B-C Z1 Z1 Z3P Z1 Z3P Z1 Z1 Z1

    F4(90km) A-G Z2P Z1 Z3P Z1 Z3P Z1 Z2P Z1

    B-C Z2P Z1 Z3P Z1 Z3P Z1 Z2P Z1

    A-C-G Z2P Z1 Z3P Z1 Z3P Z1 Z2P Z1

    A-B-C Z2P Z1 Z3P Z1 Z2P Z1 Z2P Z1

    F5(130km) A-G N/O R3 N/O R3 N/O R3 N/O R3

    B-C N/O R3 N/O R3 N/O R3 N/O R3

    A-C-G N/O R3 N/O R3 N/O R3 N/O R3

    A-B-C N/O R3 N/O R3 N/O R3 N/O R3

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    (a) (b)

    (c) (d)

    (e) (f)

    (g) (h)

    (i) (j)

    Fig. 13. The measured impedance at different locations (F1, F2, F3, F4, F5)

    of the Double phase-to-ground fault which seen by relay A and relay B for

    the non-compensated transmission line.

    Figures 13-16 show the measured impedance of

    different fault locations of the non-compensated,

    UPFC compensated, SSSC compensated and

    STATCOM compensated transmission line,

    respectively. Figure 13 shows the measured

    impedance by local (RA) and remote (RB) relays

    for different fault locations of Double phase to

    ground (A-C-G) fault. From the figures, it can be

    seen that the correct operation of both A (left) and

    B (right) relays at different fault locations based on

    the measured impedance. This figure validates the

    operation of the modeled distance relay for all five

    zones faults.

    (a) (b)

    (c) (d)

    (e) (f)

    (g) (h)

    (i) (j)

    Fig. 14. The measured impedance at different locations (F1, F2, F3, F4, F5)

    of Double phase fault seen by relay A and relay B for a UPFC-compensated

    transmission line at operation point 1.

    Figure 14 shows the measured impedance of the

    UPFC- Compensated transmission line. Different

    fault locations of double phase (B-C) fault are

    presented. From this figure, the impact of the

    UPFC on the measured impedance is seen in

    subfigures b, c, e, g, i. Based on these subfigures,

    we can observe some notes:

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    (a) (b)

    (c) (d)

    (e) (f)

    (g) (h)

    (i) (j)

    Fig. 15. The measured impedance at different locations (F1, F2, F3, F4, F5) of Single phase to ground fault seen by relay A and relay B for an SSSC-

    compensated transmission line at operation point 2.

    o Relay A in 14-a and relay B in 14-i do not affect by the UPFC, because the location of

    the relay is between the device and the fault.

    So, we can observe that the UPFC doesn’t

    impact the relay if it isn’t in the path of the

    fault. Refer to this comment, if a fault

    occurred between the relay and the UPFC,

    the relay should not be affected, see

    subfigures d, f, and h.

    o The underreach problem is seen in 14-b and 14-i. in the first case relay, B didn’t feel the

    fault in its zones due to the UPFC.

    o Overreach problems with a significant change in the impedance angle are seen in

    14-c, 14-e, and 14-g.

    o The overreach problem and the underreach problem may be seen if the fault is near or far

    from the relay location respectively. It is very

    important to mention here that the relay may

    not operate in the first zone while the

    overreach problem in the measured

    impedance is observed. That happens

    because of the significant change in the

    measured impedance makes it out of the first

    zone. This note is not observed in the

    previous tables 4-7. The same general

    comments are observed in the second

    scenario, UPFC in the middle of the line.

    The SSSC-Compensated transmission line

    measured impedance of single-phase to ground

    faults at different locations is presented in figure

    15. From the figure, we can observe some other

    comments:

    • The main problem in the SSC compensated transmission line is the underreach problem.

    No overreach problem is observed.

    • The SSSC impacts the measured impedance either if it is between the relay and the fault or

    not. From a, d, f, and h, we can see that the pre-

    fault impedance angle is changed.

    Figure 16 shows the measured impedance at

    different locations of three-phase fault in a

    STATCOM-Compensated transmission line. From

    the figure, we can say that the effect on the

    STATCOM on the distance relay can be ignored.

    This result is matched with the previous tables 4,5.

    For this fault case (three-phase fault), no difference

    can be observed between the STATCOM

    compensated transmission line and the non-

    compensated transmission line. For other faults,

    single-phase, or double-phase faults, a small

    difference can be observed, but still can be ignored.

    The second scenario, STATCOM in the middle of

    the transmission line, has small difference

    observations, but these observations were not

    affected on the relay operations.

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    (a) (b)

    (c) (d)

    (e) (f)

    (g) (h)

    (i) (j)

    Fig. 16. The measured impedance at different locations (F1, F2, F3, F4, F5)

    of the Three-phase fault seen by relay A and relay B for the STATCOM-

    compensated transmission line at operation point 1.

    The impact of the STATCOM compensated

    transmission line on the distance operation is very

    effected by the fault resistance. The effect of the

    fault resistance on the other FACTS compensated

    transmission line is less than the STATCOM.

    The second scenario, FACTS in the middle, is

    simulated for the three FACTS devices in both

    operation cases. The same general comments are

    observed in the second scenario. For the SSSC

    compensated transmission line, an adaptive

    directional relay block may be generated based on

    the operation point of the FACTS device to

    overcome the directional issue. This scheme is also

    tested for different fault resistance at locations, the

    results show that the proposed scheme is better

    than the traditional for the non-compensated

    transmission line also.

    5. CONCLUSION

    In this paper, the impact of FACTS devices

    (UPFC, STATCOM, and SSSC) on the distance

    relay operation is clarified. A lot of general

    comments on the operation point of the FACTS

    device is cleared. A new pilot distance scheme is

    presented to overcome the problems of under or

    overreach in the distance relay for the compensated

    transmission line. The proposed scheme can be

    used for non-compensated transmission lines also.

    The problem of fault resistance should be covered

    in this scheme. The modeling of a numerical

    distance relay in MATLAB/ Simulink is presented

    in this paper.

    The model is tested for different types of fault at

    different locations. The results show that the

    MATLAB/ Simulink is a very good environment

    to model different protective relays. In this project,

    the relay is modeled in both the discrete mode

    solver and the phasor model. Both modes give

    good accuracy for the zones' reach. Different

    FACTS devices (UPFC, STATCOM, and SSSC)

    are considered as examples of FACTS devices.

    The results show that the proposed scheme is a

    comprehensive solution for the under/overreach

    problems in distance relays. The proposed scheme

    is tested for different FACTS- Compensated

    transmission line. The problem of under/overreach

    may occur for non-compensated transmission lines

    in case of high resistance fault. This scheme is

    primness for this case in addition to the

    compensated transmission lines.

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