05 underexcitation protection
TRANSCRIPT
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The year of Profitable Growth
Global networkof innovation
UnderexcitationProtection
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Power Automation 2
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Presenter: Dr. Hans-Joachim Herrmann
PTD PA13
Phone +49 911 433 8266E-Mail: [email protected]
Generator Protection
Underexcitation Protection
(Loss of Field protection)
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Power Automation 3
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Reasons for Underexcitation
? Failure of the excitation device
? short circuit in the excitation circuit
? interruption in the excitation circuit
? Maloperation of the automatic voltageregulator
? Incorrect handling of the voltage regulator(generator, transformer)
? Generator running with capacitive load
Countermeasure:
Underexcitation Protectionexcitationdevice
GS
3~
ZLoad
Note: This protection is also called
Loss of Field Protection
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Power Automation 4
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Consequences of Excitation Failures
Influence Quantities:? type of construction of the generator
? design of the excitation
? grid conditions
? magnitude of delivered active power
?
type of the voltage and power regulator
Consequences:
? rotor acceleration
? local overheating in the rotor and stator
? over-voltages in the rotor
? mechanical shocks onto the foundation? grid starts oscillating
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Power Automation 5
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Relation of Current and Voltage in a SynchronousGenerator
machine equation: VP = V - IjX
cylindrical-rotor machine: X~Xd; VP = V- jXd I(turbo generator)
salient-pole machine:
(hydro generator)
X:=Xq; Xd
exact: VP = V - j(XdId + XqIq)
reduced: VP ~ V - jXqI
ZLVVP
X I
Simplified equivalent circuit:
Vector diagram:
V
Iexc
I
Im
Re
? = rotor angle? = load angle
?
VpI jX
?
V / jX
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Power Automation 6
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Possible Design of the Generator Capability Diagram
Definition:
+P
(W)
+Q
(Var)
under excited
over excited
+P
(W)
+Q
(Var)
over
excitedunder
excited
Operating
area
Operating
area
Static stabilitylimit
Static
stabilitylimit
Preferred design
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Power Automation 7
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Capability Curve of a Turbo Generator
type of generator: TLRI 108/46
nominal apparent power SN = 200 MVAnominal voltage VN = 15.750 kVnominal current IN = 7.331 kAnominal frequency fN = 50.0 Hzpower factor cos ? N = 0.8cold-air temperature Tx = 40.00 C
MVAr 140 120 MVAr100 80 60 40 20 0 20 40 60 80 100 120 140 160 180
underexcited overexcited
Q
P
MW
220
200
180
160
140
120
100
80
60
400,2
0,4
0,6
0,7
0,
8
0,85
0,
9
0,95
0,97
5
0,
975
0,95
0,
9
0,2
0,4
0,6
0,7
0,8
0,85
cosphi
cosp
hi
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Power Automation 8
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Load Diagram of a Synchronous Machine (Cylindrical-rotor Machine)
dynamicstabilitylimit
steadystatestabilitylimit
theoreticallylimit
turbine limit
stator limit
rotor limit
P
overexcitedunderexcited
Q
SN
VP If
? N
? N
N
d
2
N ;'
SX
V?? d
2
N
X
V
Xd: synchronous reactanceXd: transient reactance
The generator capability curve describes
the stability limits of the generator
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Power Automation 9
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Per Unit Capability Diagram of a Synchronous Generatorin the Case of Undervoltage (V = 0.9 VN)
In the case of an under-voltage the generator capability curvemoves to right and reduces the stability limits of the generator
1/xd
0.81/xd
0.851 V=1; I=1;
V=0.9; I=1.11
Stabilitylimit
Q [p.u]
P [p.u]
overexcitedunderexcited
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Power Automation 10
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Conclusions for the Protection Design
A good underexcitation protection should consider both facts(1 and 2)
1. The generator capability curve describes in theunderexcitation region the stability limit of a generator
2. In the case of an undervoltage the stability becomesmuch more critical (moves to active power axis)
The transformation of the generator diagram into the
admittance diagram is the solution, because:
? its direct proportional to the per unit generator diagram
(only the reactive axis must be multiplied by -1)? the settings can be easy read out from the generator diagram
? it considers right the undervoltage behaviour
A
B
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Power Automation 11
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Definitions for Converting the GeneratorDiagram into the Admittance Diagram
QjPSIVS ???? ?
BjGYV
IY ???
Transformation:
2222
*
V
Qj-
V
P
V
Qj-P
V
S
VV
VIY ???
?
??
?
?
2
2
V
Q-B
V
PG
?
?
Q
P+
+-
B
G+
+ -
Note: In the per unit calculation is VN = 1
Complex Power: Admittance:
G: Conductance
B: Susceptance
In the per unit
representation
the diagrams
are the same,
only there is a
phase shift in
the reactive
part of 180
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Power Automation 12
Power Transmission and Distribution
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a) Excitation Current (IEXC
)
- stabile for over-excitation
- insecure for under-excitation (IEXC can be smaller than IEXC, N)
b) Direct Measuring of the Rotor Angle (? )
-steady stability limit depends on?
or 2?
- transversal reactance cannot be neglected with small excitationof
turbogenerators (Xq is also depending from 2 ? )
c) Reactive power I-QI>, Impedance I-ZI
? Admittance calculation guaranteesa right behaviour, if the voltages
decreases
? 3 independent characteristics and 3
timer
? characteristic 1,2 is adaptated onthe steady state curve;
? additional inquiry of the field voltage
(release a short trip time)
? characteristic 3 is adaptated on the
dynamic stability limit curve
? blocking of the protection at V
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Power Automation 14
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple. Combination of
? stator criterion (straight line characteristics)
? rotor criterion (DC undervoltage in the excitation circuit)
Case no. 1: only rotor criterion fulfilled:
no alarm, no trip
Case no. 2: only stator criterion fulfilled ( char. 1,2):only alarm, eventually long-time delayed trip (e.g. 10s)
Case no. 3: rotor and stator criterion fulfilled (char. 1,2):
alarm and short-time delayed trip (e.g.
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Power Automation 15
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Conversion of the Reactive Power into 1/xd
Example: Generator capability diagram (figure 9)
Generator: SN =200 MVA CT, VT: knV =VN =15,75 kV
Stability limit: Q =90 MVAr knl = 8000A/1A
1. Calculation the longitudinal reactance :
2. Conversion into secondary values :
3. Setting value for Char. 1:
?????
?
?
?
?
?
?
?
2,76Q
3Q3 N
2
2
N
d U
U
X 2,223N
Ndd ??? UXx I
2,38kk
WpN,GN,
WpN,GN,
d
nUGN,Nsek
nlNsekGN,
ddsek ?????? U
Ux
U
Uxx
I
I
I
I
?? 0,421
dsekx ??? 80, 10,42
d1x
1?
3
100V/3
16kV
2,22Nd ?? Qx S
or
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Power Automation 16
Power Transmission and Distribution
Power AutomationProgress. Itsthatsimple.
Measuring Algorithm
1) Filtering of the input values
2) Calculation of the positive sequence values
3) Calculation of the complex power
4) Calculation of the admittance values
GS3~
iL1,2,3 uL1,2,37UM6
Li
Lv
,,, L3L2L1 III
,,, L3L2L1 VVV
1I
1V
,j iLrLL III ??
,j iLrLL VVV ??
1I
1V
*IUS ? QjPS ??
S 21U
SY ? BjG
1j
1 ????
XRY
symmetr.
comp.
fourierfilter
(50Hz)
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Power Automation 17
Power Transmission and Distribution
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Generator diagram is transferred in the impedance plan (e.g. X=V2/Q).
(Stability limit is represented as a circular arc.)
? characteristic: Offset-MHO
? tripping zone inside the circle
? characteristic 1, tdelay ? 0...0.3 s (for high
load generator and field failure)
? characteristic 2, tdelay ? 0.5 - 3 s (for lowload generator, section field voltage failure)
Underexcitation Protection with Criterion ImpedanceI-ZI