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Revision Table
Editor Tech
Review
TDS
Review
Date Rev
#
Comments
CRT CRT 5/21/02 2 Tech review edits, corrected some formulas
CLS CLS 5/24/02 3 TDS review, fonts drawings and formatting changes
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Technical papers supporting this section:
6022.pdf, Z = V/I Does Not Make a Distance Relay by J. Roberts; A. Guzman; E.O.
Schweitzer, III
General books of Power System Protection.
Revision Table
Editor Tech
Review
TDS
Review
Date Rev
#
Comments
LGP CLS 8/22/02 4 Objectives added
CLS 8/22/02 6 Rev table correction
LGP CLS 2-25-03 7 Convert to white, fix animations
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This section is an introduction to the topic of transmission line protection using distance
relays. Further sections and courses will complete the wide and interesting topic of
distance protection.
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For a perfect three-phase fault, only the positive-sequence impedance is involved in the
calculations. With the usual convention, the phase a voltage and current are equal to the
positive-sequence voltage and current.
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A phase instantaneous overcurrent element is set to detect fault currents up to 80 percent
of the line length. This gives enough security margin (20 percent) to avoid non-selective
operation for faults beyond the remote bus. The relay setting is calculated for a given
value of the equivalent ZS1.
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As the system topology behind the substation bus changes, ZS1 changes. As a result, the
relay reach will change. The only way to avoid non-selective operations for faults
beyond the remote bus is to calculate the instantaneous setting for the worst case value of
ZS1, which results in a shorter reach of the instantaneous element for all other system
configurations. It is highly probable that the system presents the worst case value for
relatively short periods of time, meaning that the relay reach will be permanently
sacrificed for a situation that occurs for short periods. This is a disadvantage of
instantaneous overcurrent relays.
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Suppose that it is possible to design a relay that operates not when the current is larger
than a given threshold, but when the phase voltage is less than the current times a
constant, as shown in the figure.
This relay requires voltage and current information.
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The inequality originally stated in terms of voltage and current implicitly states that the
relay will operate when the distance to the fault is less than a given limit distance, called
the distance relay reach.
Ideally, the reach of such a relay does not depend on the source impedance.
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This relay is called impedance or under-impedance relay because the relay design is
such that the relay operates for an impedance condition. The relay measures or sees a
given impedance, equal to the ratio of the applied sinusoidal voltage and the applied
sinusoidal current.
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The apparent impedance is a concept used to describe the impedance measured or
seen by a distance relay. It is defined as the ratio between the voltage and current
phasors applied to the relay. For the particular case that has been described, these
quantities are Va and Ia.
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The maximum reach of the distance relay, in terms of impedance, is normally an
adjustable value of the relay. Therefore, the same relay can be used for different lines.
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The figure shows the simplest design for an under-impedance relay. The current is passed
through a single amplifier. The magnitude of the resulting quantity is compared to the
magnitude of the voltage by a two-input magnitude comparator. The gain of the amplifier
Zr1 is the relay setting.
In the past, these devices were implemented through use of an electromechanical balance
unit. Today, in computer-based relays, the relay equation is directly implemented in the
relay routines.
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This example shows the calculations involved in the determination of a simple impedance
relay setting.
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The setting calculated in the former slide is in primary ohms. Because the relay is
connected to CTs and VTs, the ratios of the instrument transformer must be considered.
It is usual to find an impedance ratio ZTR = VTR/CTR to determine the secondaryimpedance measured by the relay. This ZTR is also used to determine the actual relay
setting, in secondary ohms.
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This is the same example as before, but now the relay setting is calculated in secondary
ohms.
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The complex plane is commonly used to represent the apparent impedance measured by
distance relays.
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A plain impedance relay will operate for any apparent impedance whose magnitude is
less than, or equal to, the relay setting. In the complex plane, this is represented by the
region within a circle with radius equal to the relay setting. The border of the circle
represents the operation threshold of the relay.
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The unit distance is the distance to the fault in per unit of the total lines length. This
parameter is commonly used in protective relaying.
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If the apparent impedance of a distance relay is calculated for three-phase bolted faults
along the line, for distances varying from 0 miles to L miles, the resulting set of complex
numbers can be plotted in the complex impedance plane.
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This set of points is a line segment as shown in the figure. The segment has the same
length and angle as the total line impedance and is called the bolted fault locus.
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If the fault locus is superimposed with the relay operating characteristic in the same
complex plane, the resulting plot indicates the degree of protection of the relay. The case
shown in the figure represents a case in which the relay has been set to reach faults up to
~80 percent of the line.
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During normal load conditions, the impedance seen by a distance relay has a magnitude
much larger than the length of the bolted fault locus (line). When a fault occurs, the
impedance moves instantly to a point in the complex plane located on, or very near, the
bolted fault locus. The accuracy of this statement for non-bolted faults will be shown
later.
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There are three traditional distance elements: impedance-type, reactance-type, and mho-
type stance e ements.
The figure shows the operation equation and operating characteristic of a mho distanceelement. The characteristic is the locus of all apparent impedance values for which the
relay element is on the verge of operation. The operation zone is located inside the circle,
and the resraint zone is the region outside the circle.
The mho characteristic is a circle passing through the origin of the impedance plane. The
.
towards the first quadrant, which is where forward faults are located. For reverse faults,
the apparent impedance lies in the third quadrant and represents a restraint condition. The
fact that the circle passes through the origin is an indication of the inherent directionality
of the mho elements. However, close-in bolted faults result in a very small voltage at the
relay that may result in a loss of the voltage polarizing signal. This needs to be taken into
consideration when selecting the appropriate mho element polarizing quantity.
ere are yp ca y wo se ngs n a m o e emen : e c arac er s c ame er, M, an e
angle of this diameter with respect to the R axis, MT. The angle is equivalent to themaximum torque angle of a directional element. The mho element presents its longest
reach (greatest sensitivity) when the apparent impedance angle coincides with MT.
Normally, MT is set close to the protected line impedance angle to ensure maximumrelay sensitivity for faults and minimum sensitivity for load conditions.
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The early electromechanical relays with a MHO characteristic used a product unit
(induction cylinder element) to achieve the torque equation: V2 V I cos(-MT) > 0.
Analog static relays used a two-input phase comparator to create the MHO characteristic.The inputs to the comparator are properly mixed from the original voltage and current to
obtain the desired behavior.
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So far, a directional distance relay, which operates instantaneously and is set to reach less
than 100 percent of the protected line, has been described. Two important principles of
protection have been missing:
1. What happens for a fault on the protected line that is beyond the reach of the relay?
2. If the relay operates instantaneously, it cannot be used as a remote back-up for a
relay protecting a line adjacent to the remote substation.
These two roblems are overcome b addin time-dela distance rela s. This is
accomplished by using the distance relay to start a definite time timer. The output of the
timer can then be used as a tripping signal.
The figure shows how a second zone (or step) is added to each of the directional
impedance relays. A third zone, with a larger delay, can also be added.
The operation time of the second zone is usually around 0.3 seconds, and the third zone
around 0.6 seconds. However, the required time depends on the particular application.
The ohmic reach of each zone also depends on the particular power system. The figure
and the next slide show a typical reach scheme for three zones.
What about Circuit Breakers 2, 4 and 5?
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The slide shows how the instantaneous Zone 1, and the delayed Zones 2 and 3 look in a
complex impedance plane if MHO units are used for all three zones. Note the reference to
buses A, B, and C of the previous slide, which indicate that the distance elements
correspond to the relays associate with Circuit Breaker 1, located at Substation A.
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What about Circuit Breakers 2, 4, and 5?
The figure shows the operating time as a function of the electrical distance for six distance relays.
Here, the relays looking in both directions are shown. We show the characteristics for Relays 1,3, and 5 above the system one-line diagram. We represent the characteristics for Relays 2, 4, and
5 below the one-line diagram.
Zone 1 must underreach the remote line end to make sure that it will not operate for faults in the
adjacent lines. Zone 2 is intended to cover the end of the protected line, so it must overreach the
protected line. Zone 3 is intended to provide remote backup protection to adjacent lines, so it must
overreac t e ongest a acent ne.
We typically leave a coordination interval (including breaker tripping time) between Zones 1 and
2 and between Zones 2 and 3 of adjacent distance relays. This means that the end of Zone 2 of a
backup relay should not overlap with the begininning of Zone 2 of the primary relay. The same is
true for adjacent third zones. This is not always possible, however.
In the figure, we can see that faults located in the central section of a given line are cleared by
simultaneous and instantaneous operation of the first zones at both line ends. Should a first zone
a to operate, t e remote ac up re ay operates n secon or t r zone. n t e ot er an , au ts
close to one line end will be cleared sequentially: the nearest line end will operate in first zone,
and the remote end will operate in second zone. This sequential fault clearing is a limitation of
distance protection, because it could jeopardize system stability.
An advantage of distance protection over directional overcurrent protection is that the distance
first zone reach depends less on system operating conditions than the reach of the instantaneous
overcurrent element. In other words, distance protection provides better instantaneous line
coverage.
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The figure is an impedance-plane representation of a line protection scheme using mho
distance relays (both directions). A longitudinal system is formed by transmission lines
AB, BC, AD, and DE. The line impedances are plotted on the complex plane, using
substation A as the origin of coordinates for convenience. The mho circles represent the
three zones of the distance schemes at both ends of line AB.
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The figure shows several commonly used circular distance relay characteristics. For
analog relays, these characteristics can be obtained with phase and/or magnitude
comparators. In microprocessor-based relays, they are implemented using mathematical
algorithms.
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Solid-state and digital relays permit creation of highly sophisticated distance
characteristics. An example is the quadrilateral characteristic. You can shape the
characteristic to meet different line protection requirements. The price for this flexibility
is setting complexity: there are four settings in a quadrilateral characteristic.
The figure shows the popular qudrilateral charateristic. Proper applciation of this
characteristic will be explained later in this course.
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The three-phase, short-circuit case is repeated here to introduce the procedure to be used.
The line equations correspond to a symmetrical, or transposed, line. The three phases are
set to zero voltage at the fault location. The unit distance, m, is used as the distance to thefault point.
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The algebraic development shows that a single distance element is enough to detect
balanced three-phase faults. The element should be connected to any phase voltage and
current to properly measure the positive-sequence impedance existing between the relay
location and the fault. This impedance is directly proportional to the distance.
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The algebraic manipulation leads to the conclusion shown in the slide.
A similar development can be done for a-b and c-a faults.
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The result of the manipulation is that, for the relay to properly measure the positive
sequence impedance between the relay location and the fault, the relay must receive:
The phase a voltage
The phase a current plus a residual current compensation factor.
The compensation factor, ko, is called the residual compensation factor, or the zero
sequence compensation factor because the residual current is three times the zero-
se uence current.
A similar result is obtained for b-to-ground and c-to-ground faults.
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The table summarizes the results obtained in the former development.
There are other ways of connecting (polarizing) the distance relays. This particular way is
called the self-polarizing scheme.
In the past, six relays (or measuring units) were required for each distance relay zone to
implement a non-switching scheme like this. Today, this protection can be implemented
in a single microprocessor-based relay.
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In summary, distance protection uses current and voltage information to make a direct, or
indirect, estimate of the distance to the fault. Phase distance elements (21) are more
sensitive than phase directional overcurrent elements (67). On the other hand, ground
distance elements (21N) are less sensitive than ground directional overcurrent elements
(67N). A widely used combination for transmission line protection uses 21 elements for
phase fault protection and 67N elements for ground fault protection.
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Transmission line protection is complex. Problems such as infeed, fault resistance,
unequal measured impedances during faults, load encroachment, and mutual coupling
affect the apparent impedance of distance relays. Fault resistance and mutual coupling
also affect ground directional overcurrent relays. These problems may be complicated by
the evolving character of many faults.
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All these problems may affect distance and directional overcurrent relays. Cross-country
faults, simultaneous faults, and CT saturation may also present a problem for differential
schemes.
Series-compensated lines are extremely difficult to protect. All protection principles may
have problems, because of the possibility of voltage and current inversions. If the series
compensation capacitors are carefully selected, the possibility of current inversions can
be eliminated. In this case, a differential protection scheme may be the best option.
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Three-terminal lines and short lines also have special protection requirements. The
ringdown at subharmonic frequency resulting from compensation reactors may also
create protection problems.
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The infeed effect needs to be taken into account when distance relay settings are
calculated. For example, the third zone at A (see figure) will measure ZAB + ZBC for a
fault at C without infeed. When the intermediate source is present, the impedance
estimate is greater because of the IBC/IAB factor. The third zone needs to completely cover
the adjacent line BC for all system operating conditions. Thus, the third zone reach needs
to be set considering the possible infeed. As a result, the third zone may reach far beyond
substation C when the intermediate source is out of service. This factor needs to be
considered when checking adjacent third zones for possible overlap.
Infeed effect does not affect first zones, except in three-terminal lines. In this case, the
first zone needs to be set without infeed to make sure that the zone will not overreach the
remote line end. Setting a first zone in this manner results in the presence of the
intermediate source reducing the first zone reach, thus limiting the high-speed coverage
of the protected line.
The infeed effect also needs to be considered for second zone reach settings. In three-
terminal lines, the second zone should be set with maximum infeed at the third terminal
to ensure full coverage of the protected line. On the other hand, in two-terminal lines, the
second zone should be set for minimum infeed at the remote-end substation to avoid
overlapping with the beginning of the adjacent second zone.
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Outfeed is the result of having two paths of current flow after the relay has monitored the
current. An outfeed condition may exist when two or more adjacent lines are connected
in parallel. In three-terminal lines, outfeed may exist if there is a strong external tie
between two line terminals. The magnitude of the outfeed effect factor, I / I, is smaller
than unity, which produces a reduced impedance estimate. The result is relay overreach.
The outfeed effect also needs consideration when calculating settings for a distance relay.
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Transmission line protection is complex. Problems such as infeed, fault resistance,
unequa measure mpe ances ur ng au ts, oa encroac ment, an mutua coup ng
affect the apparent impedance of distance relays. Fault resistance and mutual coupling
may also affect ground directional overcurrent relays. These problems may be
complicated by the evolving character of many faults.
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Three-terminal lines and short lines also have special protection requirements. The
r ng own at su armon c requency resu t ng rom compensat on reactors may a so
create protection problems. Series-compensated lines are extremely difficult to protect.
All protection principles may have problems, because of the possibility of voltage and
current inversions. If the series-compensation capacitors are carefully selected, the
possibility of current inversions can be eliminated. In such a case, a differential
protection scheme may be the best option.
In this presentation, we will examine transmission line protection problems that exclude
CT saturation, CCVT transients, series-compensated lines, three-terminal lines, short
lines, and reactor-compensated lines.
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Fault resistance affects all protection principles to some extent. For phase faults (three-
p ase, ne- ne) au t res stance resu ts arge y rom t e res stance o t e arc etween t e
faulted conductors. If the fault is initiated by a tree or something else in the line, its
resistance should also be considered.
Ground fault resistance includes the resistance of the arc between the conductor and the
tower, the tower and tower footing resistance, and the ground return path resistance.
Ground faults may also involve other objects such as trees.
.
transmission line faults involving trees, for example, the fault resistance may be on the
order of hundreds of ohms.
In distribution lines, an important component of ground fault resistance is the contact
resistance between the fallen conductor and ground. For a conductor falling on dry
asphalt, for example, the fault resistance could be close to infinity. The detection of fallenconductors in overhead distribution systems is a very complex protection problem.
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Arc resistance is quite variable. A commonly accepted value for currents between 70 A
an 20,000 A s an arc vo tage rop o 440 V per p ase, n epen ent o current
magnitude.
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This is another empirical expression for arc resistance with the arc length in meters
( nstea o eet). O serve t at t ere s a 1.4 exponent n t e current n t s express on.
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The general effect of fault impedance is reduction in protection sensitivity. Fault
mpe ance re uces t e au t current va ues an t e vo tage sag n t e au te p ases. Fau t
impedance also increases the value of the impedance measured by distance relays. Fault
resistance limits the sensitivity of all protective relay types.
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The figure shows the effect of fault resistance on the impedance a distance element
measures n a ra a system. T e stance e ement measures t e au t oop mpe ance,
including the fault resistance. The result is a distance estimate greater than the real
distance to the fault. This inaccurate distance estimate makes the distance element
underreach.
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An additional problem in looped lines is the infeed effect in the fault impedance. The
re ay oes not measure t e current contr ut on to t e au t rom t e remote-en source.
As a result, RF in the impedance estimate is multiplied by an infeed effect factor IF / I.
The effect of this factor is twofold. The infeed effect increases the value of the apparent
fault resistance (the magnitude of the factor is greater than unity). The infeed effect factor
is, in general, a complex number, so the apparent fault impedance is no longer purely
resistive.
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In this impedance plane representation, the effect of fault resistance in looped lines can be
seen. T e stance e ement s ou measure an mpe ance mZL. However, t e measure
impedance is Z. Observe that the infeed effect factor, IF / I, increases the value and
produces a phase shift in the fault resistance RF.
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The power system model shown will be used to study the effect of RF and the power
angle, , on the apparent fault impedance. For simplicity, a homogeneous system (allsource and line impedances have the same angle) will be considered.
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This figure shows the effect of RF and on the impedance estimate. For bolted faults, thedistance element measures the correct impedance value. An increase in the value of RFincreases the measured impedance and produces relay underreach.
In radial lines, or when = 0, the apparent impedance is purely resistive. A reactance-type characteristic would avoid relay underreach. However, for 0, even a reactanceelement may overrreach ( > 0) or underreach ( < 0). In other words, the direction of the
pre-fault power flow will determine the reactance element behavior.
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A distance protection scheme has six basic relay elements. For the phase elements, the
ne- ne vo tages an t e erences o t e ne currents are use as nput s gna s.
Ground distance elements receive the phase voltages and the compensated line currents
as input signals. The zero-sequence current is used to compensate the line current inputs
of ground distance elements. These connections ensure that the fault-loop element(s)
correctly measure the fault-loop impedance. For example, for an ABG fault, three
distance elements correctly estimate impedance: AB, AG, and BG elements. The question
is, what impedances do the other three elements measure for this fault? These elements
need to measure im edances with values no lower than the fault-loo im edance. This
ensures that the distance elements that measure the correct impedance value will make
the tripping decision.
The simple power system shown in the figure can be used for an analytical study of the
impedances measured by the different distance elements during faults. The idea is to
derive the expressions of the measured impedance using symmetrical componenttechniques. In the figure, mZL is the impedance of the protected line section. The
ositive-se uence value of this im edance mZ is the correct value that the distance
elements measure. ZX is an impedance including mZL and the source impedance behind
the relay. The factor C expresses the infeed effect in the fault resistance.
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This table shows the expressions of the impedances phase distance elements measure for
two types o p ase au ts (ABC an BC au ts). For ABC au ts, a t ree e ements
measure the loop impedance value, which unfortunately includes the fault impedance
term. For BC faults, only the fault-loop element BC correctly measures the impedance.
The other two elements (AB and CA) estimate higher impedances. This means that the
BC element will make the tripping decision for zone-end faults.
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This table shows the expressions of the impedances measured by ground distance
e ements or two types o p ase au ts.
For ABC faults, all three elements measure the fault-loop impedance. In other words,ground distance elements may respond to three-phase faults unless, for example, their
operation is supervised with a zero-sequence overcurrent element. This tendency to
operate is also present for other system balanced conditions such as normal load or power
swings. For phase-to-phase faults, the ground distance elements measure impedance
values greater than the fault-loop impedance.
The effect of ground faults on ground distance elements is not presented in this analysis.
The result is the same as for the phase elements. That is, the fault-loop element correctly
measures the impedance, and the healthy phase elements estimate impedance values
greater than the fault-loop impedance.
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Digital simulation is an excellent tool for studying the impedances that distance elements
measure ur ng au ts n comp ex power systems. T e gure s ows a power system
model that will be used for digital simulation studies.
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The figure shows the impedances all distance elements measure for a close-in A-phase-
to-groun au t or erent RF va ues (0 to 4 o ms).
Two mho-element characteristics are shown, a self-polarized mho characteristic (crossesthrough the origin of coordinates) and a cross-polarized mho characteristic. As will be
seen in a future presentation, the effect of mho element polarization is to expand the
characteristic backwards in relation to the origin of coordinates for forward faults.
Polarization ensures mho element directionality for close-in bolted faults.
for this AG fault. It is also clear from the figure that a self-polarized mho element may
not see the fault. For a polarized mho element, the fault is well within the characteristic.
Other distance elements such as AB, CG, and CA may operate for this fault, so distance
element operation cannot be relied on to make single-pole tripping decisions. In this case,
for example, a three-pole trip would be issued instead of a single-pole trip for a single-line-to-ground fault.
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The figure shows the effect of displacing the fault location along the protected line. The
resu t s t e appearance o au t areas n t e mpe ance p ane. T e mpe ance eac
distance element measures will lie inside the corresponding fault area. The position for
the measurement depends on fault location and fault resistance. The sides of the fault
areas marked with dots are the locii of the measured impedances for bolted (RF = 0)
faults. The straight lines parallel to those sides are the locii of the measured impedances
corresponding to the maximum RF value (4 ohms.)
The basic conclusion is the same as for the previous figure: there are several distance
elements prone to operate for a single line-to-ground fault. For single-pole tripping, the
tripping decisions of the distance elements cannot be used. A separate algorithm is
needed to determine the fault type for single-pole applications.
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This figure shows the impedances the distance elements measure for a BCG fault at the
remote en o t e re ay reac . T e ots on eac au t ocus represent erent va ues o
fault resistance (0 to 10 ohms).
For bolted faults, three distance elements (BC, BG, and CG) see the fault exactly at the
end of the reach corresponding to each element. When the fault resistance increases, the
impedance the CG element measures moves away from the relay characteristic. On the
other hand, the BC impedance penetrates the relay characteristic. This element
overreaches, so it must be blocked from operation for this fault. For simplicity, the effect
of the fault resistance on the BC element impedance is not shown. It is clear, however,
that this impedance also leaves the operation characteristic.
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In summary, distance elements measure different impedances for unbalanced faults.
P ase e ements can operate or c ose- n, ne-to-groun au ts, an groun e ements can
overreach for line-to-line-to-ground faults. A separate algorithm is needed to determine
the fault type. The information on the fault type can be used to decide on single-pole
tripping and to block the operation of ground distance elements for line-to-line-to-ground
faults.
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Evolving faults present problems for all protection principles. Many faults evolve in some
way. T e au t res stance RF may vary w t t me. As a resu t, t e au t current s var a e.
Another common type of fault evolution is a change of fault type. Many faults initiate as
line-to-ground faults and evolve into line-to-line-to-ground faults and/or three-phase-to-
ground faults.
For evolving faults, it is generally difficult to detect fault inception and fault type
changes.
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Both phase and ground distance elements measure impedance for normal load conditions.
As can be seen in the figure, the measured impedance depends on the load flow
conditions. An increase in the apparent power, S, transferred over the line reduces themagnitude of the measured impedance
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The impedance angle depends on the direction of P and Q. For positive values of P and Q
(both P and Q flowing into the line), is between 0 and 90 and the measuredimpedance lies on the first quadrant of the impedance plane. A negative Q value brings
the impedance to the fourth quadrant.
Accordingly, a negative P value will move the measured impedance to the other two
quadrants: to the second quadrant for a positive Q value and to the third quadrant for a
negative Q value.
conditions. For positive P values (Load OUT in the figure), the impedance is in the first
or fourth quadrants. For negative P (Load IN), the impedance is in the second or third
quadrants.
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Checks for load encroachment problems can be performed by superimposing relay and
load characteristics on the impedance plane. In the figure, it can be seen that certain load
conditions result in penetration of the impedance in the relay characteristic.
A traditional solution to avoiding distance element misoperation is to shape the relay
characteristic to exclude the load impedance regions. A drawback of this solution is that it
limits the fault resistance coverage of the distance element.
A new solution is to create a relay load element having the same shape as the load
. .
case, only a small section of the relay characteristic is lost.
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The relay is supposed to be protecting line L1, and its location is at Bus P. The fault
occurs on line A-B.
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The figure shows the impedance measured by a distance relay for an external fault. As
expected, the apparent impedance moves to an external point. After the fault clears, the
apparent impedance does not return instantaneously to the load equilibrium point, but
there is a post-fault slow oscillation, or swing. The characteristics of the oscillation
depend on many parameters of the power system. The case shown in the figure shows
that the oscillation does not produce any relay misoperation.
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The figure shows a case where the post-fault power swing enters into the relay first zone
operation characteristic. This will produce an undesired operation of the relay.
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Parallel lines is a very common case in transmission systems. The magnetic field
produced by a faulted line influences the behavior of the voltages and currents of a
neighboring line. This influence is called mutual coupling between lines.
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The figure illustrates mutual coupling. For a ground fault on one of two double-circuit
lines, the zero-sequence current flowing at each line induces a voltage in the other line.
This effect modifies the voltage ground distance elements measure. If the mutually
coupled current flows in the same direction as the relay current, the measured voltage will
increase and the distance element will tend to underreach. On the other hand, if the
mutual current direction is opposite to that of the relay current, the relay element will
measure a lower voltage and tend to overreach.
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These expressions show the effect of mutual coupling on the impedance ground distance
elements measure. I0M is assumed to be positive when it flows in the same direction as
Ires. The result is an increase in the apparent impedance, Z, and a relay underreach. A
negative value of I0M reduces the measured impedance, and the relay element
overreaches.
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The figure shows the ground distance element behavior for a ground fault on a double-
circuit transmission line with both lines connected in parallel. For simplicity, it is
assumed that the system is energized at one end only.
In the lower figure, the impedances ground distance elements measure at locations A, B,
and C are shown as a function of the distance, m, to the fault from location A. For relay
elements A and C, the apparent impedances, with mutual coupling, are represented by
full lines, and dotted lines are used to represent the measured impedances without mutual
coupling. The latter case gives the correct impedance values and serves as a reference for
analysis. For relay element B, the measured impedance plot without mutual coupling
would be a straight line from ZB = ZL at m = 0, to ZB = 0 at m = 1.
The effect of mutual coupling in this case is that none of the ground distance elements
correctly measure the distance to the fault. For relay elements A and C, the mutually
coupled current flows in the same direction as the relay current. These elements measure
higher impedance values and tend to underreach. For relay element B, the mutual current
flows opposite to relay current. The result is a lower apparent impedance value and a
tendency for the relay element to underreach.
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The mutual-coupling error may be compensated for by providing the faulted-line relay
element with information on the mutually coupled current. These equations show that an
additional compensation term, k0M I0M, is needed in the relay current of the ground
distance element. The compensation factor, k0M, equals the ratio of the zero-sequence
impedance to the positive-sequence impedance of the protected line. Several commercial
distance relays have an additional current input for the mutually coupled current.
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A limitation of mutual coupling compensation is that it eliminates the distance
measurement errors only for the faulted-line ground elements.
In the parallel-line case that was presented before, compensation works for relays atlocations A and B and fails for the relay at C. The problem with the relay at C is that the
level of compensation needed depends on the fault location, m.
Another limitation of mutual coupling compensation is that I0M is not always available at
the relay location.
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This figure shows cases in which the mutually-coupled current I0M is not available at the
relay location.
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Experience shows that the first zone setting for the relay should be reduced to avoid
overreaching for severe cases of zero-sequence mutual coupling. In some cases, the first
zone may need to be reduced by 60 percent.
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It is convenient to use an impedance plane to represent the distance element operating. - , - ,
mho-type distance elements.
The figure shows the operation equation and the operating characteristic of the mho distanceelement. The characteristic is the locus of all apparent impedance values for which the relayelement is on the verge of operation. The operation zone is located inside the circle, and therestraint zone is the region outside the circle.
The mho characteristic is a circle passing through the origin of the impedance plane. The mhoelement operates for impedances inside the circle, which is basically oriented toward the firstquadrant. This is the case for forward faults. For reverse faults, the apparent impedance lies in thethird quadrant of the impedance plane and represents a restraint condition. The fact that the circlepassed through the origin of coordinates is an indication of the inherent directionality of the mhoelements. However, close-in bolted faults produce deep voltage sags. The mho element may losethe voltage polarizing signal for close-in faults. This fact needs to be considered in selecting theappropriate mho element polarizing quantity.
There are only two settings in a mho element: the characteristic diameter, ZM, and the angle of
this diameter with respect to the R axis, MT. This is equivalent to the maximum torque angle of adirectional element: the mho element presents the highest reach (highest sensitivity) when theapparent impedance angle coincides with MT.
The value MT should be set close to the protected line impedance angle. By doing this, it ensuresmaximum relay sensitivity for faults and minimum relay sensitivity for load conditions, in which < MT.
The other two conventional distance elements lack directionaly. The impedance-typecharacteristic is a circle whose center is at the origin of coordinates. The reactance-typecharacteristic is a straight line parallel to the R axis. Impedance-type elements need an additionaldirectional element. Reactance-type elements need a directional element and a resistance elementto limit the reach on both sides of the element characteristic.
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Technical papers supporting this section:
6030.pdf, Statistical Comparison and Evaluation of Pilot Protection Schemes, E.O.
Schweitzer III, John Kumm
AG93-06.pdf,Applying the SEL-321 Relay to Directional Comparison Blocking (DCB)
Schemes, Jeff Roberts
AG95-29.pdf,Applying the SEL-321 Relay to Permissive Overreaching Transfer Trip
POTT Schemes Armando Guzman Jeff Roberts Karl Zimmerman
AG96-19.pdf,Applying the SEL-321 Relay to Directional Comparison Unblocking
(DCUB) Schemes, Dean Hardister
6109.pdf, The Effect of Multiprinciple Line Protection on Dependability and Securityby
Jeff Roberts, Demetrios Tziouvaras, Gabriel Benmouyal, Hector J. Altuve
Revision Table
Editor Tech
Revie
w
TDS
Revie
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Date Rev
#
Comments
CRT 1/31/0 1 Adapted from Line Pilot Protection_r9
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Pilot protection (or teleprotection) is a generic name for the design of different
transmission line protection alternatives that use a communications channel. The most
important advantage of pilot protection is the provision of high-speed tripping at all
terminals for faults anywhere on the line. Without pilot protection, high-speed tripping
for all terminals will only occur for faults that are within the area where the zone 1
elements overlap. Pilot protection is typically applied to transmission lines with nominal
voltage levels of 115 kV and greater.
For comparison purposes, pilot protection can be divided into two groups, directional
comparison systems and current-only systems.
Directional comparison protection uses the channel to exchange information on the status
of directional or distance elements at both terminals. If both elements operate, there is an
internal fault. If one of the elements operates and the other restrains, the fault is outside
the protected line. The most widely used pilot protection system is directional
comparison. The main reasons for this wide acceptance are the low channel requirements
and the inherent redundancy and backup of directional comparison systems. On the other
hand, these systems experience problems associated with loss-of-potential for blown VT
fuses, ferroresonance in wound potential VTs, and transient response issues of CCVTs.
Phase-comparison and current-differential systems use current information to make a trip
decision. However, these systems require a reliable, high-capacity communications
channel. Current-only systems exhibit good performance for complex protection
problems such as series compensated lines, short lines, evolving faults, cross-country
faults, mutual induction, power swings, and series impedance unbalance. Modern digital
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fiber-optic communications channels fulfill the requirements of current-only pilot
protection systems.
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Some additional advantages.
Reduced duration of the voltage sag from the short circuit and resulting negative
impact on power quality.
Clearing faults quickly reduces through fault duty on power transformers,
insulator damage due to sustained arcing, etc.
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Microwave systems can be either digital or analog. These are often part of a wide area
communications network for voice and data traffic as well. Analog systems generally use
audio tone sets to put the teleprotection information into a voice channel. Channel delays
for audio tone sets on analog microwave can be 8-20 milliseconds. Digital microwave
can provide channel delays in the 3-4 millisecond range.
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Power line carrier provides a reliable point-to-point path for sending teleprotection
information. The equipment to couple the signal to the high voltage power line can be
expensive. Also, the teleprotection scheme used must be designed to work if the channel
is lost during an internal fault that short circuits the communications channel. Power line
carrier channel equipment usually comes in two types, On/Off and FSK. The type used
depends upon the needs of the teleprotection scheme.
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Private or leased lines also provide digital and audio tone communications channels.
Although the interface equipment can be expensive, the overall installation costs can be
reduced.
On the down side, there is the ongoing lease costs of the channel. Additionally, leased
lines are often unreliable. To encourage the owner of the leased line to improve the
reliability, you must document the availability, test results, etc. and provide them to the
owner.
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In modern systems, the relay interface to the communications channel is digital using a
proprietary protocol. As an example, SELs MIRRORED BITS Technology
communicates the status of eight bits. The advantage of these systems is that more
information can be exchanged. The exchange of more information allows for the
inclusion of control to go along with the protection. These systems also simultaneously
monitor the health and availability of the communications channel.
ON/OFF carrier sets pass one bit of information. The units either transmit a signal or they
dont.
FSK carrier sets always transmit something. Under normal conditions, they transmit a
Guard tone. When keyed, they shift the transmission frequency to a Trip tone. The sets
often include security measures, such as Trip After Guard and Guard Before Trip, to
ensure the integrity of the communications channel.
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The figure shows a schematic diagram of a directional comparison system. This system
uses directional or directional-distance relay elements to distinguish internal from
external faults. For an internal fault, both relays see the fault in the forward (tripping)
direction; for an external fault, one relay sees the fault in the reverse (non-tripping)
direction.
Although the relays use current and voltage information to determine the fault direction,
the communications channel is used to exchange information about relay contact status.
In traditional systems, the relay interface to the communications channel equipment is via
contact inputs and outputs. The two-state type of information requires very low channel
throughput (about 1000 Hz bandwidth.) For these systems, the relay has no information
about the channel health.
An advantage of these tripping schemes is that channel time delay is not critical. A delay
in receiving the remote signal may delay tripping, but the delay does not affect whether
the trip or restrain decision is correct. The inherent backup provided by the directional
and/or distance elements ensures tripping (perhaps delayed) for internal faults with a
channel failure.
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The advantages of directional comparison systems summarized in this slide. In particular,
the low channel requirements explain why more than 80 percent of transmission lines in
the United States have directional comparison protection systems.
Since only 1 bit of information is passed through the channel, a very low bandwidth is
required.
If the channel is inoperative, the fault is generally cleared in Zone 2 time.
When micro rocessor rela s are used fault locatin al orithms are used to aid in fault
locating. Current only systems do not have enough information to be able to provide any
fault location estimates.
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Directional comparison pilot protection schemes are designed around sending one bit of
data across the teleprotection channel at very high speed. In some schemes, this one bit
tells the other end that it has permission to trip (permissive). In other schemes, the bit
represents a signal to tell the other end not to trip (block). There are many variations but
the most prevalent are the following:
Permissive Overreaching Transfer Trip (POTT)
Directional Comparison Unblocking (DCUB)
Permissive Underreaching Transfer Trip (PUTT)
Directional Comparison Blocking (DCB)
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At the minimum, a POTT scheme requires a forward overreaching element at each end of
the line. This is typically provided by a Zone 2 element set to reach about 120%-150% of
the line length. If each relay sees the fault in the forward direction, then the fault can be
determined to be internal to the protected line.
Relay 3 will key permission if it sees the fault in a forward direction. Relay 4 will be
allowed to trip if it sees the fault in a forward direction AND it receives permission from
Relay 3.
.
provided by a Zone 3 element set in the reverse direction. It is important that the reach of
the reverse Zone 3 element be set for the element to always pick up for faults that can be
seen by the remote Zone 2 overreaching element.
It is important to note that in all of these schemes, an under-reaching Zone 1 element is
typically used to trip independent of the pilot protection scheme.
. ,
most common protocol.
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The basic logic for a POTT scheme looks like this.
A trip requires pickup of Zone 2 overreaching elements AND receipt of permission
(RCVR) from the remote end.
Pickup of Zone 2 overreaching elements keys transmission of permission to trip (Key
XMTR) to the remote end.
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A number of complications to a POTT scheme require additional logic.
If the remote terminal is open, the relay on that terminal will not see the fault and
will therefore be unable to give the local terminal permission to trip. This problemis addressed by echo key logic. The relay on the open terminal echoes the
permissive signal back to the closed terminal, allowing it to trip.
If the one terminal is a much weaker source of fault current than the other, or its
normal source is out of service, it may not have sufficient current to pick up for the
. ,
trip. This problem is addressed similarly to the open terminal echo keying logic;
but it includes 27P & 59N elements to detect the weak feed condition.
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Additional complications to a POTT scheme that require additional logic.
If the channel fails completely, permission to trip cannot be sent. To deal with this
inability to send permission, the Zone 2 overreaching element also typically starts aZone 2 timer to allow backup tripping after a coordinating time interval to provide
backup step distance mode of operation in case of channel failure.
Current reversals during the fault can cause unfaulted lines to trip.
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Current Reversals
In double-circuit line applications, faults near one end of the line may result in a
sequential trip operation. This sequential trip happens when the instantaneous relayelements trip the breaker nearest to the fault location (this trip is independent from the
communication tripping scheme). The breaker furthest from the fault must wait for a
permissive signal. The major problem with this sequential fault current clearance is that
it creates a current reversal in the healthy parallel line. If the protection for the healthy
line is not equipped to address this reversal, one terminal of the healthy (non-faulted) line
may trip incorrectly.
The figure shows the status at the inception of the fault. Relaying at Breaker 3 detects the
fault as being within Zones 1 and 2. The instantaneous Zone 1 element issues a trip
signal to the breaker independent of the communication-assisted tripping scheme. It is
the Zone 2 elements at Breaker 3 that issue a permissive signal to the protection at
Breaker 4. The protection at Breaker 4 detects the fault within Zone 2 but must wait for
the permissive signal from Breaker 3 before issuing a permissive trip output. In the event
that the permissive trip signal never arrives and the fault persists, Breaker 4 is tripped by
Zone 2 time-delayed protection.
The Zone 2 element at Breaker 2 also picks up at fault inception and issues a permissive
signal to the protection scheme at Breaker 1. At this time, the Zone 3 elements at Breaker
1 also pick up and identify the fault as being reverse (or out-of-section) to its location.
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After Breaker 3 opens, the fault currents redistribute. When this redistribution occurs, the
Zone 2 element at Breaker 2 and Zone 3 element at Breaker 1 begin to drop out. If the
Zone 2 element at Breaker 1 picks up before the received permissive signal resets,
Breaker 1 trips due to this current reversal.
This scenario can easily occur when ground directional overcurrent relays are used as
they can often see an end zone fault on an adjacent line. It is less of a factor when ground
distance relays are used.
electromechanical element would be much higher than the opening springs torque
resulting in a large disparity in pickup versus dropout times. This disparity is also true
with numerical relays, but to a much lesser degree.
To address this, a reverse element (Zone 3) is used to detect when the fault is initially
seen behind the relay. A dropout delay prevents the relay from keying permission upon atransition from reverse to forward. The delay allows the remote terminal forward
e ement t me to rop out.
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In a directional comparison blocking scheme, each line terminal has reverse looking
elements (Zone 3) and forward overreaching elements (Zone 2). The relay will send a
block signal to the remote end if it sees the fault in the reverse direction. Relay detection
of a fault in the reverse direction indicates that the fault is outside of the protected zone.
The logic allows the relay to trip if it sees the fault in the forward direction and does not
receive a blocking signal from the remote end.
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This figure shows the fundamental logic involved. Pilot tripping occurs for an internal
fault if the local Zone 2 forward overreaching element operates and the remote Zone 3
reverse reaching element does not send a block signal within a settable time.
The channel coordination delay must allow time for the block signal to be received before
the tripping element can operate. If the block does not arrive, or is late, a DCB scheme
may overtrip. This scheme is often used with power line carrier and an ON/OFF
transmitter because the only time the signal must get through is when the fault is not on
the protected line.
One way to speed up the issuance of the blocking signal is to use non-directional carrier
start. In this case, a high-speed overcurrent element detects the fault and keys the
transmitter. Then the slower directional element will stop the signal if the fault is
forward. If the directional element detects that the fault is reverse (out of zone), the
blocking signal has already been sent. This can reduce the required carrier coordination
delay, resulting in increased security.
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There are number of complications that need to be addressed with DCB schemes. We
have already discussed time coordination. Current reversals also must be addressed, with
logic similar to that used with the other schemes.
Loss-of-channel is a particular issue with DCB schemes. Because each terminal will trip
for lack of a block signal, these schemes will overtrip if the channel fails. This is
complicated by the typical use of an on/off type carrier set to obtain the highest possible
channel speed. An on/off carrier set is off in the normal state; it is turned on to block the
remote end.
For this reason, it is usually desirable to use an automatic carrier check back system with
on/off carrier sets. An automatic carrier check back system can be programmed to operate
several times a day. There is usually a master check back unit that keys the local
transmitter with a series of carrier pulses. The slave check back units monitor their local
receiver and recognize this code as a check back transmission instead of a fault
transmission. These units then respond by keying their local transmitter with an answer
code. If the master hears the answer on its local receiver, it knows that the channel is
viable. If it does not, it will typically alarm SCADA that the channel has failed. If an
internal fault occurs during a check back transmission, the relay will assert its carrier
stop output. The carrier sets give priority to carrier stop over carrier start. That is, if
both stop and start are asserted, the stop input takes precedence and the transmitter will
be turned off.
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POTT and PUTT schemes can be less dependable because they will fail to trip high speed
during a channel failure. Conversely, DCB schemes will overtrip if the channel fails or if
the channel delay increases.
Directional comparison unblocking schemes combine the dependability of DCB schemes
with the security of POTT schemes but allow tripping during a window of time to
accommodate channel failure during a fault. DCUB schemes are attractive when the
power line is used for the communications medium.
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DCB schemes should not be used with networked communications channels such as
SONET where the channel delay can change. For such cases, you would need a high-
speed channel such as a power line carrier On/Off channel.
POTT and DCUB schemes will not trip until the permission (or unblock) signal arrives,
so there are no concerns about channel delay for security. Channel delay does affect
ultimate tripping time.
If a fault on the power line can affect the teleprotection channel, a DCB or DCUB
.
channel include power line carrier or communications lines sharing right of way with the
protected power line.
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Phase-comparison and current-differential systems only use current information. The
figure depicts a schematic diagram of current-only systems. Phase-comparison systems
compare the phase of the currents at the line terminals. For internal faults, these currents
are in phase. For external faults, the currents are approximately 180 degrees out of phase.
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The system detects the current zero crossing at each line terminal and forms a square
wave signal. The local end receives the remote end square wave signal after a given
channel time delay, CD. A time delay, LD, is introduced in the local signal to compensate
for the channel time delay of the received signal. For internal faults, currents iL and iRare
in phase, the output of the AND gate lasts one-half cycle, the timer times out and issues a
trip. For external faults, iL and iRare 180 degrees out of phase, the output of the AND
gate is zero and the timer does nothing.
If LD = CD, the AND gate behaves as a coincidence detector of the positive half-cycle of
currents iL and iR. The coincidence timer issues a trip output when the coincidence time
of SL and SR is equal to, or greater than, the pickup time T. The T setting determinesthe angular width of the phase comparator characteristic. For T= one-quarter cycle, thecharacteristic is 90 wide. That is, the logic will allow tripping if the currents are out of
phase by up to 90. The dropout timer setting Tprovides a trip output latch and should
be greater than tT, where t is the fundamental frequency period.
Signals SL and SR are never exactly in phase or 180 degrees out of phase. The main
sources of phase angle error for external faults are charging current, CT saturation, and
time delay compensation errors. For internal faults, there is a phase shift because of the
non-homogeneity between the sources and the line impedance.
The system, as described, will fail to trip for an internal fault during a communications
channel failure. Alternatively, a logic inversion can be introduced in the square wave that
is sent to the remote line terminal. Likewise, the received signal is inverted before the
phase comparison. This logic enhances dependability and allows tripping when there is
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no received signal, but can misoperate for an external fault during a communications
channel failure.
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The system depicted in the previous slide is a half-wave or a single phase comparison
scheme. That system provides a comparison for the positive half-cycle only. This
introduces a half-cycle latency in the trip decision. Alternatively, a full-wave, or dual
phase comparison, system can be used. Two sets of square waves are formed at each line
terminal and compared independently. AND 1 detects the time coincidence of the
positive half-cycle square waves SL+ and SR+. AND 2 detects the time coincidence of
the negative half-cycle square waves SL- and SR-. The system can make a tripping
decision on either half-cycle, thus providing faster operating speed.
For simplicity, local and channel time delays are not shown in the figure.
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The most widely used phase comparison system is a non-segregated scheme. The pulse
generated at each line terminal is a composite signal that combines the phase currents to
form a unique single-phase voltage. A typical composite signal, VF, is a weighted
combination of the current symmetrical components.
The high bandwidth of modern digital communications channels permits implementation
of segregated phase comparison systems. These systems fulfill an independent phase
comparison for each phase current. This is a more expensive scheme, but it provides
faulted phase identification for single-pole tripping and enhances the protection behavior
for evolving faults, cross country faults, inter-circuit faults, and series compensated lines.
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The basic phase-comparison principle only exchanges phase information between line
terminals. This principle fails for internal faults with outfeed, such as when one current
flows in one terminal and out of the other terminal. This figure shows a possible outfeed
condition. A high-resistance internal fault, for which the load current is greater than the
fault current, is a typical case of an outfeed situation.
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The percentage differential principle, originally developed for the protection of
transformers and generators, was extended to the protection of short transmission lines in
the 1930s. The traditional system uses a telephone-type pilot wire channel to exchange
analog information between the line terminals. Composite sequence networks form
voltage signals that contain magnitude and phase information on the currents at the line
terminals. Percentage differential relays at each end respond to the currents derived from
the comparison of these voltages through the pilot wire. The system operates as a
percentage differential relay at lower levels of fault current. At higher currents, the
s stem becomes a hase com arison s stem because of the effect of the saturatin
transformer included in the scheme. The transformer is intended to provide isolation
from ground potential rise in the copper conductor channel. The introduction of fiber
optic channels permitted provision of the percentage-differential characteristic for all
levels of fault current.
The figure depicts two typical percentage differential characteristics. A differential relaycompares the magnitude of an operating current with the magnitude of a restraining
current. The rela is on the ver e of o eration when the e uation definin the
characteristic is fulfilled. The operating region is the region above the operating
characteristic. A variable-percentage or dual-slope characteristic (dotted lines in the
figures) increases relay security at higher fault levels.
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Percentage differential elements compare an operating current (also called differential
current) with a restraint current. The operating current, IOP, is the magnitude of the
phasor sum of the currents entering the protected element.
IOP is proportional to the fault current for internal faults and approaches zero for other
operating (ideal) conditions.
The slide shows the most common alternatives for obtaining the restraint current, IRT.
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The differential current is not exactly zero for external faults. The most common causes
of false differential current in transmission line differential relays are the following:
Line charging current
Tapped load
Channel time-delay compensation errors
Current transformer saturation
Line charging current is significant in cable lines or long overhead lines.
The false differential current created by tapped loads may be the result of load current,
low-side faults, or inrush current in the tapped transformer.
The effect of line charging current and load current can be eliminated by using anegative-sequence or zero-sequence differential element.
Channel time-delay compensation errors and current transformer saturation contribute to
false differential current in all types of differential elements. To address these two
sources of error, the operating characteristic of the differential element needs to be
carefully designed.
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Some advantages of phase-segregated current based systems are:
They do not require voltage information (this avoids problems such as loss-of-
potential for close-in faults, blown potential fuses, ferroresonance in VTs andtransients in CVTs.)
They are immune to:
Mutual induction effects
Power swings
Series impedance unbalance (open-pole conditions, unequal gap
flashing on series-compensated lines, etc.)
Current reversals in parallel-line configurations
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Other advantages of phase-segregated current based systems are:
They perform well for evolving, inter-circuit, and cross country faults.
They are easily applied to short transmission lines
They tolerate high line loading
Depending upon the operating characteristic, current-only systems may
handle outfeed conditions during high-resistance faults and in series-
compensated and three-terminal lines.
The basic limitations of current-only systems are related to the communications channel:
they need a reliable, high-capacity channel. These limitations are rapidly disappearing
with the modern digital fiber-optic communications channels. In addition, digital
technology permits inclusion of many protection functions in a relay unit. It is nowpossible to combine a directional comparison and a current based pilot system in the
same relay. This diversity of operation principles in the same unit may enhance the
overall performance without a significant increase in cost. In applications where
reliability also demands duplicate hardware, you may install two such relay units and
obtain four separate protection functions running on two separate hardware platforms.
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This figure shows a family of percentage differential relay operating characteristics for
different values of the slope, K. These characteristics correspond to the relay having a
slope characteristic that crosses the origin of coordinates. The relay restraint quantity is
the difference of the input currents. Relay characteristics are circular.
The operating region is the area out of the circle, and the restraint region is inside the
circle. Note that the
1 + j0 point corresponding to an ideal through-current condition is inside the relay
restraint region.
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This figure depicts another family of characteristics corresponding to a relay having a
slope characteristic that crosses the origin of coordinates. The relay restraint quantity for
this case is the sum of the input current absolute values. Relay characteristics are not
circular. Note that the value of the slope, K, determines not only the size, but also the
shape of the relay characteristic.
Dual-slope differential relays may have two different types of slope characteristics. The
first slope characteristic may be a straight line crossing the origin of coordinates or may
intersect on the restraint current axis. The second slope characteristic always has an
intersect on the restraint current axis.
Thus, the dual-slope differential relay will have two different characteristics in the
current-ratio plane. The restraint current value determines the characteristic that is active
for a given power system operating condition.
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The current-ratio plane is an excellent tool for analyzing the response of current only
protection systems for different power system conditions and to the signal corruption
resulting from the protection scheme elements. The method for analyzing relay operation
is to superimpose on the same current-ratio plane the relay characteristic and the current-
ratio trajectory resulting from the fault or abnormal condition in the power system. This
method is equivalent to the operation analysis of distance relays in the impedance plane.
For power system and protection scheme steady-state conditions, the current-ratio
trajectory reduces to a point. Under transient conditions, the trajectory will converge to a
final steady-state point in the current-ratio plane. This figure depicts current-ratio plane
regions for steady-state fault and load conditions. If we disregard all possible sources of
errors, the point representing the system condition falls along the real or a-axis. For ideal
through-current conditions (normal loads or external faults), a = 1. For internal faults
with infeed from both line ends, a > 0. For internal faults with outfeed at one terminal, a
< 0. Note that the relay characteristic should have the point a = 1 in the restraint zoneand all the fault regions in the operation zone.
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Line charging current flows into the line at both line terminals and creates a false
differential current. This figure represents the current components that exist in the line for
a normal load condition.
The figure also depicts the current-ratio locus for different values of ILOAD. The trajectory
is not circular in the general case. Note that, for small load currents, the current-ratio
value lies in the right semi-plane. The only way to avoid relay misoperation is to set the
relay minimum pickup current greater than the line charging current value. For
differential elements responding to the phase currents, this sensitivity limitation affects
the relay fault resistance coverage for internal faults. The negative-sequence or zero-
sequence components of the charging current are very low when compared to the
positive-sequence or phase values. Thus, a negative-sequence or a zero-sequence
differential element can be set much more sensitive than a phase element.
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A tapped load not included in the line differential measurement creates an operation
current component in the differential scheme. This figure shows the current distribution
in a line with a tapped load. The tapped load current, IT, may be load or fault current.
Fault currents can correspond to internal or secondary-side faults in the tapped
transformer.
When ITL = ITR, the current-ratio locus has the general aspect of that of the previous slide.
When ITL ITR, the trajectory still begins at a = 1 (for ILOAD >> IT), and ends in theright part of the real axis.
The differential relay pickup must be set greater than the load current of the tapped load.
Negative-sequence and zero-sequence differential elements can be set more sensitive than
the phase elements, because negative-sequence and zero-sequence differential elements
only respond to load unbalance.
Tapped load fault current must also be taken into account. A possible solution is todesensitize the relay to the maximum tapped load fault current. The type of fault to
cons er epen s on t e erent a e ement; t ree-p ase au t or t e p ase e ements,
phase-phase or phase-phase-ground faults for the negative-sequence elements, and phase-
phase-ground or phase-ground faults for the zero-sequence elements. If one of the tapped
transformer windings is connected in delta, a zero-sequence differential relay does not
respond to secondary-side ground faults, but the relay will still respond to internal
transformer primary winding ground faults. Another solution is to have the differential
relay time coordinated with the tapped load overcurrent protection devices. The simplest
means of accomplishing this is to use the calculated total phase or sequence current as the
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input to a time-overcurrent (TOC) element. In turn, the TOC element is coordinated with
the overcurrent protection of the tapped load. It is interesting to note that by using totalline current, we in fact are turning the looped or multi-feed coordination problem into a
radial line coordination exercise.
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Saturation of a current transformer (CT) for an external fault produces a false operating
current in a differential protection scheme. To avoid relay misoperation, it is necessary to
desensitize the relay by selecting the appropriate value of the slope, K.
The current-ratio plane can be used to visualize the effect of CT saturation and to
determine the relay slope setting.
This figure shows the secondary CT currents and the resulting differential current for a
fault with maximum dc offset. Recall that the differential current should be zero for an
.
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This figure depicts the current-ratio trajectory corresponding to the filtered currents
shown in the previous slide. The procedure for obtaining this figure involved calculation
of the fundamental phasor values of currents, u