power system other
DESCRIPTION
credits go to the authorTRANSCRIPT
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Fundamentals of Excitation Systems
Chapter 1
ABB Switzerland AG
Learning CenterPower ElectronicsTurgi, Switzerland
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1. Fundamentals of Excitation Systems
Excitation Basics
• What is an Excitation System?
• Synchronous Machine Operation Modes and Characteristics.
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1.1 What is an Excitation System
North
South
Current
Rotor The rotor of a synchronous machine is an electromagnet.
The effect of the rotating flux on the stator windings
produces an induced voltage.
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1.1 What is an Excitation System
Excitation System
Current Control
Voltage Regulation Voltage
Rotor Current Production
Power Supply
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STEP UP TRANSFORMER
GENERATORBREAKER
1GOVERNOR
1
AC & DCAUXILIARY SYSTEMS
LV SWITCHGEAR
AUX.TRANSF.
EXCITATIONSYSTEM
PT’s&CT’s
STARPOINT
CUBICLE
CONTROL SYSTEMS
CONTROL ROOM
SYNCHRONIZING
HV SYSTEM HV- BREAKER
PROTECTION
EXCITATIONTRANSFORMER
SYNCHRONOUSGENERATORTURBINE
1.1 What is an Excitation System
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Primary Mechanical Electrical ConsumerEnergy Energy Energy
Turbine Generator
Excitation System
GeneratorVoltage
FieldCurrent
Chain of energy conversion Chain of energy conversion
1.2 The Synchronous Machine
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1.2 The Synchronous Machine
Disturbance
If Ug
Controlled Object
SynchronousMachine
Network
ExcitationSystem
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1.2 The Synchronous Machine
The solid pole synchronous machineThe solid pole synchronous machine
High speed application for speed range > 1500 rpm
Rotor Stator
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1.2 The Synchronous Machine
The salient pole synchronous machineThe salient pole synchronous machine
Slow speed application for speed range < 1500 rpm
Rotor
Stator
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1.2 The Synchronous MachineSynchronous machine triphase representation
URIR
US
IS
UT
IT
UfIf
IDR
IDT
IDS
Rotor
Stator
120° 120°
120°
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1.2 The Synchronous Machined-q axes representation
UdId
Uf If
IdD
Uq
Iq
IQ2
IQ1
Ψd
ΨfΨq
ΨdD
ΨQ1 ΨQ2
D axis
Q axis
δω
ra
ra
rdD
rf
rQ1 rQ2
Rotor
Stator
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1.2 The Synchronous Machine
The simplified equivalent circuit for the synchronous machine
E
Xfσ Xaσ
XmRotor Stator
P
Xd,q
EP
Synchronous Reactance
Uf
Rotor Stator
If
ω
UG
q-axis
d-axis
Fig. a Fig. b Fig. c
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1.2 The Synchronous MachineWhat values can you find on the name plate of your synchronous machine?
Physical values of your machine AbsoluteValue
Per unitvalue
Unit
Link to data sheet of real SM
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1.2 The Synchronous Machine
Generator no load characteristic
Ug
IfIfo
UGn
Saturation
No load field current
Generatornominal voltage
Xd
EpUG
Speed n = constant
If ,n
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1.2 The Synchronous MachineGenerator short circuit characteristic
I g
IfIfo
I G
No load field current
Generatorcurrent at Ifo
Xd
Ep UG = 0
Speed n = constant
If ,n
Ep = UGn
UGn
For If = Ifo ⇒ Xd = IG/IGn IG at (If = Ifo)Example:Measurement at If = Ifo: IG/IGn = 2.43
⇒ Xd = 2.43 pu
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1.2 The Synchronous Machine
Generator on load
ϕ
δ
ΔU = Xd Ig
UgEp ~If
Xd
Ep
UG =
con
st.
Load
IG
ΔU = IG • Xd
Fig. bFig. a
Ep ϕIG
Load angle
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1.3 Operation of the Synchronous Machine
The power chart of the synchronous machine
ActivePower
Reactivepower
Motor
GeneratorOperation
P
+ Q- Q 1xd
-1 +1
1 pu
overexcited
underexcited
STurbine Power
ϕ
P(Ep)~If
δ
1
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1.3 Operation of the Synchronous Machine
The synchronizing torque
δ=45
ωel
ωmech
ωel
ωmech
δ=90
ωel
ωmech
δ=0
ω
"rubber band"
T95_0154.DRW
o o o
FDrive
Fsyn
r
Fig. a) Fig. b) Fig. c)
Fig. d)
P = T• ωT = F• r
Some equations:
P Active powerT TorqueF Forcer Rotor radius ω Speed
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1.3 Operation of the Synchronous Machine
Stability limitMd
δ
Μ d2
Md1
~
~
I
I
f2
f1Drive torque
δ δ 12
The torque characteristic of the generator
δδ sinsin ⋅⋅
=⋅⋅=d
GpGpd X
UEIEM
The torque equation
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1.3 Operation of the Synchronous Machine
ActivePower
Reactivepower
Motor
GeneratorOperation
P
+ Q- Q 1xd
-1 +1
1 pu
overexcited
underexcited
safe operatingarea
The safe operating area of the synchronous machine
Drive Limit
Sn~Ifn
ϕ
Rated Power
δmax= 90°
Stability Limit
Field CurrentLimiter
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1.3 Operation of the Synchronous Machine
P [MW]
-Q 1/Xd1/Xq
FieldField CurrentCurrent LimiterLimiter
Minimum Minimum FieldField CurrentCurrent LimiterLimiter
StatorStator CurrentCurrent LimiterLimiter
UnderUnder excitationexcitation, P/Q , P/Q LimiterLimiter
The power chart of the synchronous machine with limiters
Save operating area
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1.3 Operation of the Synchronous Machine
The V-curves of the synchronous machine
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1.4 The Network
The Network
12
3
T95_0157.DRW
Tie
Regional grid
Substation
Power station
The Network
UNet
Infinite bus voltageExternal reactance
Xe
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1.4 The Network
Substitution diagram of the network with the generator
RLUNet
GXT Xe
Consumer
Infinite bus voltage
Transformer reactance External reactance
Networkvoltage
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1.4 The Network
Calculation of reactive power
RL UNet
GXTr Xe
UG = 1.05 pu
= 0.1 pu = 0.2 pu
Consumers
UN = 1.0 pu
IQReactive Power
IQ = ?.............Q = ?............
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1.4 The Network
Voltages and impedances of the generator-grid system
US~
GXT XE
AVR
RERT
Ug UN US
I
UN
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1.5 Reactive Power DistributionReactive power distribution
AVR
Generator 1
AVR
Generator 2
BusbarGrid
Uref1 Uref2
IQ
Q, IQ
U
Busbar voltageUref1
Uref2
IQ IQ
Generator 2 Generator 1
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1.5 Reactive Power Distribution
AVR
Q, IQ
U
Generator 1
Grid (HV) Reactive power distributionΔU
Uref
UG
Uref
UGΔU
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1.5 Reactive Power Distribution
UG
pos. static
neg. static
+Q-Q
Static behavior of AVR (Reactive power influence to AVR)
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1.6 Transient behaviour of the synchronous machine
Transient behavior of the synchronous machine
Behavior of Generator voltage in case of reactive power surgewith constant field current
S
UgX E
If = konst.
t
Ug
Ugo
t = 0
ΔU = Ig *Xd
Td’’ Td’ Tdo’
Td’’ Sub transient time constant 10…50msTd’ Transient time constant 0.5…1.5 sTdo’ Time constant
ΔU”=Xd”•IQ
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1.6 Transient behaviour of the synchronous machine
Faults and surges for the generator
UNet~
G
XT XE1
AVR
XE2S
Load
infinite bus
1) Reactive power surge
2) Active power surge
3) Load rejection
4) Long distance short circuit
5) Short circuit at generator terminal
High voltage lineGenerator
Xd’
4)
3)
1, 2)5)
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1.6 Transient behaviour of the synchronous machine
Behavior of generator voltage in case of reactive power surge
with rotating exciter
t
Ug
Ugo
t = 0
ΔU = Ig *Xd
static excitation systems
Manual mode
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1.6 Transient behaviour of the synchronous machine
δ
UE
I · XDP = ω· M
P = U · I = U ·
Torque Equation
M - M = Θ
A
E
A
X D
E · sin δ
A Edωdt
θ Inertiaω speed
ω
PA U
Con
sum
er
PE
Active power surgewith power oscillations
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1.6 Transient behaviour of the synchronous machine
Overvoltage relay
IQ x Xd "
t = 0 1 Sec.
t
Ug
Uo
with AVR (static excitation system)with constant field current
Generator voltage in case of reactive load rejection
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1.6 Transient behaviour of the synchronous machine
1 sec
UO
with constant field current
with voltage regulatorUG
t = 0t
Generator voltage in case of long distance short circuit
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1.6 Transient behaviour of the synchronous machine
Supply of excitation taken from generator terminals (shunt supply)
Supply of excitation system taken froman auxiliary supply
Short circuit at the medium voltage busbars or at generator terminals
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1.7 Definition of Excitation Systems
Duties of the Excitation SystemMaintain the generator terminal voltage
Operate the synchronous machine within its operating limits
Prevent the synchronous machine from being in asynchronous mode
Fast response in case of network disturbances
Share reactive power with other synchronous machines connected in parallel
Stabilize power oscillations
High reliability
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1.7 Definition of Excitation SystemsGlossary and Definitions (IEEE STD. 421.2)
Ifo No load field or excitation currentRequired field current to achieve 100% generator terminal voltage at rated speed
Ifn Nominal field or excitation currentRequired field current to operate the synchronous machine at rated power
Icl Ceiling field currentMaximum field current that excitation system is able to supply from its terminals for a specific time
Ufo No load field voltageRequired field voltage to obtain the no load field current considering the field resistance
Ufn Nominal field voltageRequired field voltage to obtain the rated field current considering the field resistance
Ufcl Ceiling field voltageRequired field voltage to obtain the ceiling field current
KPl Excitation Ceiling factorCeiling field voltage divided by no load field voltage Ufcl/Ufo
δ Load anglePhysical angle between rotor field and stator field
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1.7 Definition of Excitation SystemsGlossary and Definitions cont…
ϕ Phase angleElectrical angle between machine voltage and machine current
cosϕ Power factorRatio of machine’s active power to apparent power
Xd Machine synchronous reactance in direct axeXq Machine synchronous reactance in quadrature axeRs System nominal response
The rate of increase of the excitation system output voltage divided by the nominal field voltage
Tv Excitation system voltage response timeThe time in second for the excitation voltage to attain 95% of the difference between ceiling field voltage and nominal field voltage
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1.8 Excitation System: Supply ModesExcitation Systems „State of the Art“
~=
SM E
1 to 200 A
Rotating ExciterBrushless Excitation System
100 to 10000 A
Static Excitation System
~SM =
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1.8 Excitation System: Supply Modes
• Just positive ceiling voltagecapability
• Exciter response limited by theexciter machine time constant(>200ms)
• Field discharge with natural timeconstant
• Supply from PMG possible providing supporting of shortcircuit currents
• Relative large size of exciter machine for low speed generators
• No sliprings (less maintenanceand dust)
• Positive and negative ceiling voltagecapabilities
• Fast response (<20 ms) in both directions
• Fast field discharge by discharge resistoror inverter operation
• Size of excitation of transformer dependson field requirements only
• Shorter shaft (torsional oscillations)
• Maintenance on power rectifier themachine must not be at standstill
• Direct measurements of field quantitiesUf, If possible
Comparison: Indirect - Static Excitation System
Brushless excitation Static Excitation System
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1.8 Excitation System: Supply Modes
~=
SM ~
~=
SM ~
~=
SM =
DC Exciter AC Exciter withstationary diodes
AC Exciter with rotatingdiodes“Brushless”
Main types of rotating exciters
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1.8 Excitation System: Supply ModesMain supply modes
MS
Supply taken from machine terminals ( shunt supply )
SM
MS
Series Compounding System
SM- +
+ -
MSSM
Vectors Compounding System
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1.8 Excitation System: Supply Modes
MS
Supplied from a permanent magnet generator (PMG)or from a pilot exciter
SM
~
Main supply modes (cont.)
MS
Supplied from a safe auxiliary supply
SM
Auxiliary supply
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1.8 Excitation System: Supply Modes
High voltage line
~=
SM
Unit step up transformer
Excitation transformer
Sensing PT
Power Converter
Synchronous machine
AVR
Design Example of Static Excitation System
Sn = 210 MVAUn = 15.75 kVCos ϕn = 0.85fn = 50 HzIfn = 1600 AUfn = 230 VIfo = 400 AXd = 2.1
Aux. Supply
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1.9 Excitation System: Basic ConfigurationsBasic Configurations
UG
T96_0005.DRW
IG
If
Uc
Uc
Uc
=Uc
Uc
Uc
Single channel (AUTO and MAN mode)
Power supply
FCR
AVR
Power supply I
AVR
Dual AUTO channel(Each channel with AUTO and MAN mode)
AVR
FCR
FCR
AVR = Autom. Voltage Reg.FCR = Field Current Reg.
Power supply II
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1.9 Excitation System: Basic Configurations
~=
SM =
Voltage set point
A
M
==
Supply
~
UNITROL AVR Single Channel System with integrated manual facilityfor indirect Excitation Systems
Field currentsetpoint
Manualmode
follow up
Autom.mode
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1.9 Excitation System: Basic ConfigurationsTrue-Dual Channel UNITROL AVR with 2 x Automatic & Manual modesfor Indirect Excitation Systems
SM =
Supply
~
Voltagesetpoint
A
M
==
Field currentsetpoint
Follow-up
~=
VOltagesetpoint
A
M
==
Field currentsetpoint
follow-up
~=
Autom.Mode
ManualMode
ManualMode
Autom.Mode
Channel I
Channel II
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1.9 Excitation System: Basic Configurations
~=
VoltageSetpoint
A
M
==
Supply
SM
Field currentsetpoint
ManualMode
Follow-up
Autom.Mode
Single Channel Excitation System for Static Excitation System
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1.9 Excitation System: Basic ConfigurationsVoltagesetpoint
A
M
==
Field currentsetpoint
follow-up
Voltage Setpoint
A
M
==
Field currentsetpoint
Follow-up
~=
Autom.Mode
ManualMode
ManualMode
Autom.Mode
Channel I
Channel II
Pulse busto converter
SM
~=
True- Dual Channel configurationfor Static Excitation
Pulse busto converter
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1.9 Excitation System: Basic Configurations
M
Gate controlunit
Pulse amplifiers
1 converter
Supply
To the field circuit ofthe machine
Supply
M
M
Gate controlunit Channel1
Pulse amplifiers
To the field circuit ofthe machine
Gate controlunit Channel2
Pulse amplifiers
Power Converter ConfigurationsEconomy Configuration(Single Channel)
Twin Configuration(Double Channel)
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1.9 Excitation System: Basic ConfigurationsParallel bridges with n-1 redundant configuration
Supply
To the field circuit
M
M
Final pulsestages
M
Gate controlunit ofchannel I
M
1
2
3
nPulsebus
Gate controlunit ofchannel II
Channel1
Channel2
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1.9 Excitation System: Basic ConfigurationsMTBF Value of Redundancy
Control Power converter MTBF (Years)electronics Thyristors/fuses Cooling fan redundant? redundant ? redundant?
No No No 3
No No No fan 4
No No Yes 4
No Yes (1+1) Yes (1+1) configuration 5
No Yes (n-1) Yes (n-1) configuration 5
Yes No No 5
Yes No No fan 14
Yes Yes (1+1) Yes (1+1) configuration 46
Yes Yes (n-1) Yes (n-1) configuration 44
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1.10 Excitation System: Field FlashingField flashing feature
AVR
Generator
Auxiliaryvoltage
~ +
DiodeBridge
Thyristorbridge
Usyn
U>40%
Field flashing breaker
Ug
t
Field flashing off
Thyristor bridgestarts to conduct
U>40%
U>10%Field flashing characteristic
Field flashing failedFCB Trip
10sField flashing OFF
5s
100%Softstart
Ug
• Order Fieldbreaker CLOSE• Order Excitation ON• Field Flashing breaker closes• Stator voltage raises• Pulses to thyristors are released• Field flashing breaker opens• The softstart function bringsthe generator voltage smoothly to itsnominal value.
Sequence:
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1.11 Excitation System: Field Suppression
GeneratorGeneratorbreaker
MediumvoltageBusbars
Thyristor bridge
a
b
cd
a
c
d
Field suppression andField suppression andinternal faultsinternal faults
b
Field Suppression Feature
Field Discharge ResistorRE
Field Discharge Circuit
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1.11 Excitation System: Field Suppression
If, Uf[p.u.]
tt=0
With non-linear resistor
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1.11 Excitation System: Field SuppressionField Suppression Circuit (Crowbar)
5 6 3 4
7 8
LfRf
RE
If (field suppression)
If (operation)
inverter (WR)
+
- +
-+
- +
--Lf.dIf/dt
WR
Q02
Uarc
Uarc
UarcU
disc
harg
e
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1.11 Excitation System: Field SuppressionStatic Field Suppression Circuit (Crowbar) with Firing units
1011
K1
K2
K3
+
T T
-R02
I>
BOD
-V334
12
567
1 3
2 4
Firing PCB
Fielddischarge I
Fielddischarge II
Freewheeling
F iel
dwi
ndi n
g
+
DCbreaker
_
V1 positive overvoltagethyristor
V2 discharge and negative overvoltagethyristor
V3 redundant discharge or free wheeling thyristor
CROWBARDC Breaker
-V2
-V1
Current Measurement
Discharge resistor
Crowbar design
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1.11 Excitation System: Field Suppression
Invertermode
Field Suppression from no Load Condition
Field breakeropens
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1.12 Excitation System: DesignDesign Aspects
SM
Excitation Transformer
Sensing PT
Power Converter
Synchronous machine
AVR ~=
Sn = 210 MVAUn = 15.75 kVCos ϕn = 0.85fn = 50 HzIfn = 1600 AUfn = 230 VIfo = 530 AXd = 2.1
-
Uc
Uf Ufc+
Ufc
+100%
-100% Ufo
UfIfdc
Ifac = 0.816xIfdcU2 = Ufc/1.35 = 340V
DY5
Ufo = 1puUfn = xd(xd +1+2 1-cos2ϕ ) in pu = 2.97 puUfc = kcl×Ufn = 460V = 6 pukcl = Ceiling factor acc. = 2
standards ≈ 1.5…2.5
Sn=1.1×U2×Ifn×0.816 ×√3 = 848kVA
16%
Uc
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1.12 Excitation System: DesignDesign AspectsResponse ratio
Exercise using Generator Simulator
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1.12 Excitation System: Design
UNITROL 5000 (Digital)UNITROL D (Digital)UNITROL P (Digital)
UNS2110
UNS3214
UNITROL M (Analog)UNITROL F (Digital)
SYSTEMS WITH ROTATINGEXCITERS
STATIC EXCITATION SYSTEMS
SYST
EM C
OM
PLEX
ITY
GENERATOR / EXCITATION SYSTEM RATINGS
UN1000
Application Ranges of UNITROL Excitation Systems
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1.12 Excitation System: DesignMilestones of Excitation System
1908 First mechanical rolling sector regulator
1940 Oil-pressure regulator KC is added to the mechanical regulator
1950 Magnetic amplifier combined with diode bridge has been introduced
1956 The KC regulator is supplemented by load angle limiter
1957 First static excitation system with electronic AVR (Baureihe) accomplished by mercury-arc rectifier
1965 Mercury-arc rectifier replaced by thyristor converter
1967 Brushless excitation system with rotating diodes
1969 Improvement of stability by electronic power system stabilizer (PSS)
1975 UNITROL® C analog AVR-electronic replaces Baureihe-electronic
1976 UNITROL® S2210/3214 AVR with low complexity has been developed for small synchronous machines.
1977 Static excitation system for positive and negative excitation current applied to rotating synchronous compensator
1983 UNITROL® M with high integrated analog circuits applied in indirect excitation systems and direct excitation system of low complexity
1989 UNITROL® D introduces the microprocessor technologyand replaces the UNITROL® C analog technology.
1993 Second generation of numeric voltage regulator of type UNITROL® P as a free programmable regulator replaces UNITROL® D
1995 A new microprocessor based voltage regulator of type UNITROL® F replaces the old analog regulator UNITROL®M. This voltage regulator is applied for indirect excitation system and direct excitation system up to medium sized synchronous machines
1999 UNITROL® 5000 excitation system has been introduced. It combines the capacities of UNITROL® F and UNITROL® P in one high integrated system.
2001 UNITROL® 1000 microprocessor based AVR System replaces UNITROL® S2210/S3214.