Over Excitation Limiter Transfer Functions

 

For further details on background theory for these over excitation limiters, see IEEE Standard 421.5-2016.

Type OEL2C Takeover or Summation Point Overexcitation Limiter with Selectable Pickup and Limiting Characteristics

 

 

 

 

Where,

 

Description Symbol Type Set 1 Set 2 Set 3 Units

OEL regulator denominator (lag) time constant 1

TC1oel A 0.1 0.2 0.1 s

OEL regulator numerator (lead) time constant 1

TB1oel A 0.1 2 0.1 s

OEL regulator denominator (lag) time constant 2

TC2oel A 0.1 0.1 0.1 s

OEL regulator numerator (lead) time constant 2

TB2oel A 0.1 0.1 0.1 s

OEL PID regulator proportional gain

KPoel E 0.5 500 0.5 pu

OEL PID regulator integral gain

E E 0 0 0 pu/s

OEL PID regulator differential gain

KDoel E 0 0 0 pu

OEL PID regulator differential time constant

TDoel E 0 0 0 s

Maximum OEL PID output limit

VOELmax3 A/E 100 100 100 pu

Minimum OEL PID output limit

VOELmin3 A/E -100 -100 -100 pu

Maximum OEL lead-lag 1 output limit

VOELmax2 A/E 100 100 100 pu

Minimum OEL lead-lag 1 output limit

VOELmin2 A/E -100 -100 -100 pu

Maximum OEL output limit

VOELmax1 A/E 100 100 100 pu

Minimum OEL output limit

VOELmin1 A/E -100 -100 -100 pu

OEL reset reference, if OEL is inactivea

Ireset A 0 0 0 pu

OEL activation delay timea

Ten A 0.2 0.2 0.2 s

OEL reset delay timea

Toff A 0.2 0.2 0.2 s

OEL reset threshold valuea

ITHoff E 0.05 0.05 0.05 pu

OEL input signal scaling factord

KSCALE E 1 1 1 pu

OEL input signal filter time constantd

TRoel E 0.01 0.01 0.01 s

OEL actual value scaling factor

Kact E 1 1 1 pu

OEL reference for inverse time calculationse

ITFpu A/E 3 3 3 pu

OEL instantaneous field current limite

Iinst A/E 6 6 6 pu

OEL thermal field current limite

Ilim A/E 3 3 3 pu

OEL reference filter time constant

TAoel E 0.04 0.04 0.04 s

OEL exponent for calculation of IERRinv1

c1 A/E 0 0 0  

OEL gain for calculation of IERRinv1

K1 A/E 0 0 0 pu/pu

OEL exponent for calculation of IERRinv2b

c2 A/E 2 2 2  

OEL gain for calculation of IERRinv2b

K2 A/E 0.0296 0.0296 0.0296 pu/pu

OEL maximum inverse time outputb

VINVmax A/E 100 100 100 pu

OEL minimum inverse time outputb

VINVmin A/E 0 0 0 pu

OEL fixed delay time outputb

Fixedru A/E 0 0 0 pu

OEL fixed cooling-down time outputb

Fixedrd A/E -0.001 -0.001 -0.001 pu

OEL timer reference

TFCL A 10 1 10 s

OEL timer maximum level

Tmax A/E 6 6 6 pu

OEL timer minimum level

Tmin A/E 0 0 0 pu

OEL reference feedback gain

KFB E 0 0 0  

OEL reference ramp-down ratec

Krd E -1000 -1000 -1000 pu/s

OEL reference ramp-up ratec

Kru E 1000 1000 1000 pu/s

OEL thermal reference release thresholdc

KZRU E 0.99 0.99 0.99 pu

Rated field currente

IFDrated A 3 3 3 pu

 

Notes:

  1. Parameters associated with the OEL activation logic.
  2. Parameters associated with the OEL timer logic.
  3. Parameters associated with the OEL ramp rate logic.
  4. Field current limits and settings are provided in per unit of the base field current IFDbase.
  5. The rated field current IFDrated depends on the generator characteristics and is provided in per unit of the base value (non-reciprocal per unit system) described in IEEE Standard 421.5-2016 – Annex B.

 

Type OEL3C Summation Point Overexcitation Limiter Model

 

 

 

Where,

 

Description Symbol Type Value Units

OEL timed field current limiter pick up levela

ITFpu A 3.7 pu

OEL input signal scaling factora

KSCALE A a pu

OEL field current measurement time constant

TF E/A 0.02 s

Exponent for OEL error calculation

K1 A 1  

OEL gain

KOEL A 1 pu

OEL integral time constant

TOEL A 24 s

OEL proportional gain

KPOEL A 1 pu

OEL integrator maximum output

VOELmax1 A 0.66 pu

OEL integrator minimum output

VOELmin1 A -1 pu

OEL maximum output

VOELmax2 A 0 pu

OEL minimum output

VOELmin2 A -1 pu

 

Notes:

  1. The parameter KSCALE should be calculated based on the selection of the OEL input signal, to match the base value used for expressing ITFpu. Typically, ITFpu is expressed in per unit of the rated value for the selected input variable for the OEL model.

 

Type OEL4C Summation Point Overexcitation Limiter Model

 

 

 

Where,

 

Description Symbol Type Value Units

OEL timed reactive power limiter pick up level

QREF A 0.4 pu

OEL integral time constant

Tdelay A 20 s

OEL proportional gain

KP A 1 pu

OEL integral gain

KI A 1 pu/s

OEL minimum output

Vmin A -0.2 pu

Type OEL5C Takeover Overexcitation Limiter Model

 

 

 

Where,

 

Description Symbol Type Set 1 Set 2 Set 3 Units

OEL inverse time integrator pickup level

IFDpu A 1.02 1.02 1.02 pu

OEL inverse time limit active level

IFDlim A 6.58 6.58 6.58 pu.s

OEL inverse time upper limit

VOELMAX1 A 9.49 9.49 9.49 pu.s

OEL inverse time integrator time constant

TOEL A 1 1 1 s

OEL inverse time leak gain

KIFDT A 0.0043 0.0043 0.0043 pu

OEL lead-lag gain

K E 1 1 1 pu

OEL lead time constant

TCoel A 0 0.9 0 s

OEL lag time constant

TBoel A 0 0.32 0 s

OEL activation logic pickup level

IFDpulev A 1.4 1.4 1.4 pu

OEL activation logic timer setpoint

TIFDlev A 1 1 1 s

OEL reference 1

IFDref1 A 1.25 1.25 1.25 pu

OEL reference 2

IFDref2 A 1 1 1 pu

OEL proportional gain

KPoel A 0.46 2.861 1.0753 pu

OEL integral gain

KIoel A 17.36 8.94 9.02 pu/s

OEL PI control upper limit

VOELmax A 1 1 1 pu

OEL PI control lower limit

VOELmin A -0.99 -0.99 -0.99 pu

Exciter field current regulator proportional gain

KPvfe A 0 1.522 0 pu

Exciter field current regulator integral gain

KIvfe A 0 169.1 0 pu/s

Exciter field current regulator upper limit

VVFEmax A 1 1 1 pu

Exciter field current regulator lower limit

VVFEmin A -0.999 -0.999 -0.999 pu

Scale factor for OEL input

KSCALE1 E 0.295 0.3305 0.2296  

OEL input transducer time constant

TF1 A/E 0 0 1.22 s

Scale factor IFEbase/IFErated

KSCALE2 E 0.2317 0 0  

Exciter field current transducer time constant

TF2 A/E 0 0 0 s

Exciter field current reference setpoint

VFEref A 0 2.151 0 pu

OEL reference logic switch

SW1 A/E pos. A pos. B pos. A  

OEL reference bias

Ibias A/E 1 1 2.15 pu

Exponent for inverse time function

K1 A 1 1 1