Under Excitation Limiter Transfer Functions

 

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

Type UEL1 Circular Characteristic Underexcitation Limiter Model

 

 

Where,

 

Description Symbol Type Value Units

UEL center settinga

KUC A 1.38 pu

UEL radius settinga

KUR A 1.95 pu

 

VURmax   5.8 pu

 

VUCmax   5.8 pu

UEL excitation system stabilizer gain

KUf A 3.3 pu

UEL integral gain

TUI A 0 pu/s

UEL proportional gain

KUL A 100 pu

UEL PI control maximum output

VUImax   18 pu

UEL PI control minimum output

VUImin   -18 pu

UEL numerator (lead) time constant (first block)

TU1 A 0 s

UEL denominator (lag) time constant (first block)

TU2 A 0.05 s

UEL numerator (lead) time constant (second block)

TU3 A 0 s

UEL denominator (lag) time constant (second block)

TU4 A 0 s

UEL maximum output

VUELmax   18 pu

UEL minimum output

VUELmin   -18 pu

 

Notes:

  1. The UEL characteristics (centre and radius) are expressed in per unit of the generator MVA base.

 

Type UEL2C Underexcitation Limiter Model

 

 

 

Where,

 

Description Symbol Type Value Units

UEL real power filter time constant

TUP A 5 s

UEL reactive power filter time constant

TUQ A 0 s

UEL voltage filter time constant

TUV A 5 s

UEL voltage bias

Vbias A 1 pu

Voltage exponent for real power input to UEL table

K1 A 2  

Voltage exponent for reactive power output of UEL table

K2 A 2  

UEL excitation system stabilizer gain

KUF A 0 pu

UEL reactive power reference time constant

TQref A 0 s

UEL fixed gain reduction factor

Kfix A 1 pu

UEL adjustable gain reduction time constant

Tadj A 3 s

UEL logic switch for adjustable gain reduction

SW1 A pos. A  

UEL integral gain

KUI A 0.5 pu/s

UEL proportional gain

KUL A 0.8 pu

UEL PI control maximum output

VUImax   0.25 pu

UEL PI control minimum output

VUImin   0 pu

UEL numerator (lead) time constant (first block)

TU1 A 0 s

UEL denominator (lag) time constant (first block)

TU2 A 0 s

UEL numerator (lead) time constant (second block)

TU3 A 0 s

UEL denominator (lag) time constant (second block)

TU4 A 0 s

UEL maximum output

VUELmax1 A/E 0.25 pu

UEL minimum output

VUELmin1 A/E 0 pu

UEL maximum output

VUELmax2 A 99 pu

UEL minimum output

VUELmin2 A -99 pu

UEL lookup table real power (first point)

P0 A 0 pu

UEL lookup table reactive power (first point)

Q0 A -0.31 pu

UEL lookup table real power (second point)

P1 A 0.30 pu

UEL lookup table reactive power (second point)

Q1 A -0.31 pu

UEL lookup table real power (third point)

P2 A 0.60 pu

UEL lookup table reactive power (third point)

Q2 A -0.28 pu

UEL lookup table real power (fourth point)

P3 A 0.90 pu

UEL lookup table reactive power (fourth point)

Q3 A -0.21 pu

UEL lookup table real power (fifth point)

P4 A 1.02 pu

UEL lookup table reactive power (fifth point)

Q4 A 0 pu