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May 13, 2008 . 2. This presentation is focused on demonstration of applyingthe concept of real-time measurements in a transmissionsystem to perform system protection and control functions in a predictive - or adaptive - manner to account for the system operating conditions at any time. Objecti
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1. May 13, 2008 1 Predictive Out-of-Step Protection and Control Scheme
Based on Real-Time
Phasor Measurement Application
By Alla Deronja, P.E.
Senior System Protection Engineer
American Transmission Company
Milwaukee, Wisconsin
2. May 13, 2008 2 This presentation is focused on demonstration of applying
the concept of real-time measurements in a transmission
system to perform system protection and control functions
in a predictive - or adaptive - manner to account for the
system operating conditions at any time.
Objectives:
• Real-time measurements and adaptive/predictive protection.
• Predictive out-of-step protection scheme based on real-time measurements.
• Practical application.
3. May 13, 2008 3
As a system protection engineer, I am interested in
applying real-time phasor measurement technology to
perform system protection, control and tripping functions
to achieve a protection system’s adaptability to account
for all possible system operating conditions.
4. May 13, 2008 4 The concept of adaptive relaying is that many relay
settings are dependent upon assumed conditions in the
power system. In order to cover all possible scenarios that
the protection system may have to face, the actual
protection settings are often not optimal for any particular
system state. If an optimal setting is desired for an
existing condition on the power system network, then it
becomes necessary for the setting to adapt itself to the
real-time system states as the system conditions vary
due to changing loads, network switching operations,
or faults.
5. May 13, 2008 5 A number of relaying functions are predicated upon an
assumed pattern of power system behavior during
transient stability oscillations and other dynamic
conditions. An example of such functions is out-of-step
protection.
A predictive out-of-step protection and control scheme
based on the real-time phasor measurement principle that
has inspired me to pursue my project proposal has
been already in operation for almost 20 years.
6. May 13, 2008 6 TOKYO ELECTRIC’S PREDICTIVE OUT-OF-STEP PROTECTION SYSTEM
The predictive out-of-step protection system by means
of observing phase differences between power centers
and based on the real–time phasor measurement
principle similar to the one I sought to install at my
company has been installed and successfully operated
by Tokyo Electric Power Company (TEPCO, Japan) since
February, 1989.
7. May 13, 2008 7 The bulk power system of TEPCO in presented in Fig.
1. A major characteristic of this power system is that
the power generation areas are far from the
consumption areas. The eastern, northern, and
southeastern generator groups are linked by a bulk
power system comprising 500 kV double-circuit
transmission lines configured in duplex and triplex
routes and forming a “trunk”. The western generator
group and large local loads are thus linked to the bulk
power system via the substations marked as A1 and A2
in Fig. 1.
8. May 13, 2008 8
FIGURE 1. BULK POWER SYSTEM OF TEPCO
9. May 13, 2008 9 The western generator group tends to be heavily
loaded, and its own capacity cannot meet demand.
Power is received from the bulk power system to make
up the deficiency.
When a double fault occurs along both circuits of a
double-circuit line forming one route, the substations at
both ends of the line are disconnected and transmission
capability is interrupted. If a successive fault occurs
after reclosing, a slow cyclic power swing develops
between the western generator group and the bulk
power system.
10. May 13, 2008 10
The same situation occurs in the event of failure of a
bus-bar protective relay to operate during a bus-bar
fault. Over time, the phase difference of the generator
groups thus undergoes oscillating divergence. If this
condition is not corrected, an out-of-step condition will
begin to occur in various parts of the power system and
may lead to its total collapse.
11. May 13, 2008 11 In order to maintain the reliability of the power system
should such serious rare faults occur, a predictive
protection system that prevents total collapse of the
power system has been developed. This protection
system utilizes online data collected before and after
the onset of a system disturbance to determine
the characteristics of the power swing and predict an
out-of-step condition. The system operates during the
incubation period so that appropriate control can be
performed before the out-of-step condition occurs.
12. May 13, 2008 12 The western area can be islanded (Fig. 2) from the bulk
power system at points (a) or (b) and (a’) or (b’) before
out-of-step occurs and then operated independently.
This eliminates power swing between the generator
groups of the two systems and restores stability.
The separation point is selected based on the power
flow at pre-determined points for separation before the
fault.
13. May 13, 2008 13 FIGURE 2. SIMPLIFIED MODEL OF TRUNK LINE
AND GENERATORS
14. May 13, 2008 14 The protection scheme is outlined in Fig. 3. The status
of each generator group (east, north, southeast, west)
is obtained by measuring the bus-bar voltages of
neighboring substations as representative values. From
these, the phase differences between the western
generator group and the bulk power system are
obtained. From the phase difference values, the
corresponding values for 200 ms in the future are
predicted. If the latter exceed the setting value (?limit),
the respective generator groups are judged to be
unstable.
15. May 13, 2008 15 FIGURE 3. OUTLINE OF PROTECTION SCHEME
16. May 13, 2008 16 The two out of three logic is employed to judge
instability of all the groups and to prevent unwanted
operation in the event of an out-of-step of one
generator group within the bulk power system. In order
to initiate system separation, the current swing
detection element must operate based on the current
flowing through the transformers of the linkage
substations A1 and A2 between the bulk power system
and the western area (Fig. 1).
17. May 13, 2008 17 When the two out of three generator groups have been
determined to be unstable and the current swing
detection element has operated, the islanding command
is issued from the Central Equipment to the separation
point. The trip command is executed if the current
swing detection element in the RTU has operated on
the current flowing through that point. The current
swing detection element is provided as a fail-safe
measure for the protection calculation based on phase
difference.
18. May 13, 2008 18 To achieve flexibility in dealing with various operating
conditions of the western area, the present protection
system is divided into completely separate duplex
systems: System 1 and System 2. System 1 handles
separation at points (a) and (b) in Fig. 2, and System 2
– at points (a’) and (b’).
System 2 is nearly identical to System 1 so that
System 1 will be only described.
19. May 13, 2008 19 System 1 comprises a Central Equipment (Phasor Data
Concentrator) at Substation A1 and Remote Terminal
Units – RTUs (Phasor Measurement Units – PMUs) at
Substations B1, C, D, and E (Fig. 4).
The RTUs simultaneously sample bus-bar voltages at
600 Hz. The sampled real-time data is transmitted to
the Central Equipment (CE) via the data transmission
system (a communication channel). In addition, the
current flowing through the system separation point (b)
at Substation B1 is measured; then, the power flow
value is calculated and transmitted to the CE.
20. May 13, 2008 20 FIGURE 4. BASIC CONFIGURATION OF SYSTEM 1
PROTECTION SYSTEM
21. May 13, 2008 21 At substation A1, the current and power flow values
through the system separation point (a) and through
the transformer are measured. The CE calculates the
real-time phase difference and predicted future phase
difference and selects the system separation point using
this online data. The circuit breaker command is issued
for either point (a) or (b) as selected by the CE
calculation on the measured data.
22. May 13, 2008 22 The entire system configuration is presented in Fig. 5.
All devices are based on 16-bit microprocessors. The
microprocessor has data transmission, self-diagnostic
and calculating functions provided by the CE. Data
transmission between the CE and RTUs is carried out
synchronously via a duplex digital microwave link. The
data transmission speed of this system is 56 kbps.
23. May 13, 2008 23 FIGURE 5. OVERALL CONFIGURATION
OF PROTECTION SYSTEM
24. May 13, 2008 24 The data from one RTU of the C, D, and E substations
is sent to both CE of the same system via the data
transmission system. Each CE receives the data for both
RTUs of each generator group, but only one set of data
is normally employed. If an abnormality occurs, the CE
can switch to the other RTUs’ data. The purpose of this
two-fold redundancy is to decrease system downtime
since long-distance transmission with multiple spans is
employed.
25. May 13, 2008 25 The method of obtaining the phase difference between
two points (western generator group and bulk power
system) from simultaneously sampled voltage data is as
follows.
In Fig. 6, representative voltage waveform sampling
values for a bus-bar in the vicinity of the northern
generator group (C in Fig. 6) and the western
generator group (B in Fig. 6) are shown.
26. May 13, 2008 26 FIGURE 6. EXAMPLE OF VOLTAGE WAVEFORM SAMPLING
DATA FOR TWO SUBSTATIONS
27. May 13, 2008 27
The phase difference, ?n, at present time n can be
obtained from the voltage data VBn, VBn-3, VCn, and
VCn-3 for the present time and three previous
samples as follows:
28. May 13, 2008 28 Thus,
In order to simplify the calculation by replacing X = Xi
with a first-order approximation obtained via Taylor
Series, the phase difference can be obtained by
where 0 ? X ? 1
29. May 13, 2008 29 If X ? 1, the following additional equation is used to
perform the calculation.
If X ? 0, the following additional equation is used to
perform the calculation.
Since the approximation error is on the order of 10-2,
accuracy is sufficient for practical use.
30. May 13, 2008 30 The phase difference ? between the two areas can be
approximated by the following equation.
where,
?0 is initial value of phase difference ?,
? is angular frequency of ?,
? is damping constant,
A is amplitude.
This equation interprets the power swing mode as a
sine wave that diverges or converges.
31. May 13, 2008 31 Using the phase difference values for the present time
and previous time, the future phase difference value
can be predicted. The predicted phase difference ?* for
time TH in the future is derived from eight pieces of
data (Fig. 7) and calculated as follows:
32. May 13, 2008 32 FIGURE 7. METHOD OF PREDICTING
PHASE DIFFERENCE
33. May 13, 2008 33 Values of 200 ms and 100 ms were selected for TH and
TK (a time interval before the present time in Fig. 7),
respectively, in order to predict accurately and to
provide an acceptable operating time.
A simulation of the present prediction algorithm
calculation is given in Fig. 8. The results agree well
with the present phase difference value and the
predicted future value at 200 ms.
34. May 13, 2008 34 FIGURE 8. SAMPLE CALCULATION OF
PHASE DIFFERENCE
35. May 13, 2008 35 When the obtained predicted phase difference value ?*
exceeds the setting value ?limit, it is judged that the
power swing between the two generator groups is
unstable. The value for ?limit is determined by computer
simulation under varying conditions and must guarantee
operation when the system is unstable and prevent
operation when the system is stable.
The table in Fig. 9 shows the results of computer
simulation for several system operating patterns. ?limit is
set to 100?.
36. May 13, 2008 36 FIGURE 9. SIMULATION RESULTS
37. May 13, 2008 37 In order to guarantee fail-safe operation of the scheme,
an input different from the voltage input, the current
input, is used to detect the swing. Its logic shown in
Fig. 10 comprises a rate of change detection block to
determine whether power swing is present and a
magnitude of change detection block to detect the size
of the current fluctuation. The element operates on the
AND of these two blocks.
38. May 13, 2008 38 FIGURE 10. CURRENT SWING DETECTOR
39. May 13, 2008 39 The operation of the current swing detector is
presented in Fig. 11. The magnitude of change
detection block operates when the measured current
fluctuation magnitude is greater than its sensitivity
setting ISET during maximum power swing period ?Tmax.
The values for ISET and ?Tmax are determined by
computer simulation, and ISET is set for ?Tmax=3 sec.
40. May 13, 2008 40 FIGURE 11. PRINCIPLE OF CURRENT SWING DETECTION
41. May 13, 2008 41 The element detects when the slope of the difference of
the r.m.s. current value during the small interval ?t
(?I/?t) is greater than constant K and continues longer
than operation delay time T1 in order to operate
when the size of the current swing is greater than ISET
during a sine wave that is smaller than ?Tmax. To
prevent dropout in the vicinity of extreme values of the
sine wave, the OFF delay timer T2 (reset delay) is set to
1 sec when ?t=40 ms and T1=200 ms.
42. May 13, 2008 42 A computer simulation was run for a double three-
phase-to-ground fault of a double circuit transmission
line (1 route) in the “trunk” with a subsequent
failure of three-pole reclosing with synchronism check.
The results are presented in Fig. 12.
The power swing has a tendency toward divergence
without a protection system (Fig. 12a). In this case,
out-of-step is likely after 10 sec, and this process would
continue to extend and eventually cause a conventional
out-of-step relay to operate and separate the western
area after about 13.5 sec.
43. May 13, 2008 43 FIGURE 12. EVALUATION BY COMPUTER SIMULATION
44. May 13, 2008 44 Even after separation, the power swing would also
continue in the bulk power system.
In contrast, when the protection system is employed
as shown in Fig. 12b, the western area is separated
after 6.6 sec, and the power swing of the bulk power
system starts to converge. The western area is then
operated independently, and another control system
such as under-frequency load shedding adjusts the
power supply and demand balance.
45. May 13, 2008 45 The present protection system also underwent a field
test. The power system configuration and test results
are presented in Fig. 13. A circuit breaker at point (c) is
being closed to configure the western power system as
a loop system.The predicted and measured phase
difference values were observed. The predicted phase
difference values before and after closing of the circuit
breaker agreed well with the measured values.
46. May 13, 2008 46 FIGURE 13. CONTENT AND RESULTS OF FIELD TEST
47. May 13, 2008 47 EXAMPLE OF
OUT-OF-STEP PROTECTION SCHEME
POSSIBLE UPGRADE UTILIZING
SYNCHROPHASOR MEASUREMENTS
The company I am representing - American Transmission
Company - utilizes an out-of-step protection scheme,
which I sought to upgrade to make it adaptive - or
predictive - using the real-time synchrophasor
measurement principle and newest hardware available.
48. May 13, 2008 48 The existing ATC Northern transmission system has
limited power transfer capabilities from Michigan’s Upper
Peninsula (UP) generation to a key bulk power
transmission substation due to its inadequate transmission
and generation infrastructure.
Several completed major projects have improved the
system. However, it remains weak and still requires the
use of a special protection scheme to block
unstable power swings by tripping UP generation for
critical faults on the transmission system.
49. May 13, 2008 49 Two pairs of power swing relays SEL-68 are installed at
the key bulk power transmission substation to backup the
UP generation’s SPS operations. Each pair is installed to
trip in series for redundancy to prevent a misoperation
should one of the relays fail.
The power swing relays are time-delayed to allow
operation of the primary SPS. If the primary SPS fails to
operate, the power swing relays are designed to separate
the ATC power system into two islands: the UP and the
Wisconsin bulk power system.
50. May 13, 2008 50 For unstable power swings to the south of the key bulk
power transmission substation caused by an excess of the
UP generation, one pair of the SEL-68 relays will trip the
three southern lines of the power transmission corridor.
For unstable power swings to the north of the
substation caused by a deficiency of the UP generation,
the second pair of the SEL-68 relays will trip the three
northern lines of the power transmission corridor.
51. May 13, 2008 51 FIGURE 14. CURRENT ATC POWER SWING RELAY SCHEME
52. May 13, 2008 52
The existing out-of-step protective relays are SEL-68,
the 1987 year’s vintage. Their principle of operation is
based on comparing in the central location the voltage
phasor angles on two buses that present two different
systems which, if not synchronized, will have to be split
by the out-of-step relaying.
53. May 13, 2008 53 FIGURE 15. POWER SYSTEM MODEL
54. May 13, 2008 54 DELTA (?) is the angle between source E1 and source
E2, and V and I are the relay’s voltage and current,
respectively.
E1=V+jX1•I
E2=V+jX2•I
The angle DELTA between these phasors is found as
follows:
A+jB=E1•(E2)*
55. May 13, 2008 55 Where A is the real part of the complex product of E1
and the complex conjugate of E2;
B is the imaginary part.
Then, DELTA = inverse cotangent (A/B)
DELTA-double-dot is found from DELTA-dot by filtered
first derivatives.
56. May 13, 2008 56
DELTA, DELTA-dot, and DELTA-double-dot are used by
the relay SEL-68 to assess system stability by examining
their loci in two planes (figures 16 and 17).
57. May 13, 2008 57 FIGURE 16. DELTA VS. DELTA-DOT PLANE
58. May 13, 2008 58 FIGURE 17. DELTA-DOT VS. DELTA-DOUBLE-DOT PLANE
59. May 13, 2008 59 If tripping (or blocking) is initiated when the swing
trajectory crosses the TRIP-BLOCK DECISION LINE in
the DELTA vs. DELTA-dot plane (Fig. 16), then the
power circuit breaker has just the necessary time to
complete its operation before the TRIP-BLOCK
DECISION ANGLE (TBDA) is actually reached.
In Fig. 17, the loci for several different stable (#) and
unstable (*) swings are plotted at the moment that the
power angle crosses the TRIP-BLOCK DECISION LINE.
60. May 13, 2008 60 This explains how information from the two planes
(figures 16 and 17) is utilized by the SEL-68 relay to
arrive at a TRIP-BLOCK (or, equivalently, STABLE-
UNSTABLE) decision. Examining the swing loci in the
DELTA vs. DELTA-dot plane permits the relay to
determine when the power angle has reached a pre-
determined value (TBDA), and plotting the loci in the
DELTA-dot vs. DELTA-double-dot plane at that instant
permits the stable/unstable decision.
61. May 13, 2008 61 The relays are designed to support four system
operating conditions, one normal and three alternative,
each based on pre-calculated system impedances.
It is clear that the power system can have more than
four operating conditions, and pre-calculated impedance
values, even updated on a regular basis, will never
provide the most accurate representation of the real
system configuration. A precedence for potential
misoperation or insecurity of the protection system has
been set.
62. May 13, 2008 62 Upon detection of an out-of-step condition, the next
step of the protection system is to permit selective
tripping for clearly unstable cases so that the power
system is separated in the islands with a reasonable
match between load and generation in each island. At
present, the places where tripping is permitted are pre-
determined based upon simulations performed during
system stability studies. Eventually, a more appropriate
procedure may be developed to determine both the
nature of an in-progress swing as well as desirable
locations for separation in real-time.
63. May 13, 2008 63
64. May 13, 2008 64 Implementation of this scheme will require substantial
communication channel capacity. Phasors from the two
key places must be communicated to a central location
where stability swing evaluation and prediction are to
be carried out. After the prediction phase, direct trip
or block commands must be communicated locally and
to one remote substation. It seems almost certain that
fiber optic communication channels will be necessary
for adaptive features of this category to be
implemented.
65. May 13, 2008 65 REFERENCES
Y. Ohura, M. Suzuki, K. Yanagihashi, M. Yamaura, K. Omata, T. Nakamura, “A predictive Out-of-Step Protection System Based on Observation of the Phase Difference Between Substations,” IEEE Transactions on Power Delivery, Vol. 5, No. 4, November 1990.
2. A. G. Phadke and J. S. Thorp, “Computer Relaying for Power
Systems,” Research Studies Press Ltd. ISBN 0 86380 074 2.
3. G. Benmouyal, E. O. Schweitzer III, A. Gusman, “Synchronized Phasor Measurement in Protective Relays for Protection, Control, and Analysis of Electric Power Systems”.
66. May 13, 2008 66 REFERENCES (cont.)
4. Ph. Denys, C. Counan, L. Hossenlopp, C. Holweck, “Measurement of Voltage Phase for the French Future Defense Plan Against Losses of Synchronism,” IEEE Transactions on Power Delivery, Vol. 7, No. 1, January 1992.
V. Centeno, J. De La Ree, A. G. Phadke, G. Mitchell, J. Murphy, R. Burnett, “Adaptive Out-of-Step Relaying Using Phasor Measurement Techniques,” IEEE Computer Applications in Power, October 1993.
6. S. H. Horowitz and A. G. Phadke, “Boosting Immunity to Blackouts,” IEEE Power & Energy magazine, September/October 2003.
67. May 13, 2008 67 REFERENCES (cont.)
Schweitzer Engineering Laboratories, “SEL-68 Out of Step Blocking/Tripping Relay Swing Recorder. Instructional Manual”, April 1986
8. E. O. Scweitzer III, T. T. Newton, R. A. Baker, “Power Swing Relay Also Records Disturbances,” 13th Annual Western Protective Relay Conference, Spokane, WA, October 21-23, 1986