AC Exciter Transfer Functions

As indicated previously, each of the exciter models have a unique transfer function.  The schematic diagram of each is given below.

IEEE Alternator Supplied Rectifier Excitation System #1 (AC1A)

 

 

 

Where,

 

Exciter output voltage [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Field circuit commutating reactance [pu]

Exciter constant related to field [pu]

Rate feedback gain [pu]

Saturation at VE1 [pu]

Saturation at VE2 [pu]

Regulator time constant [s]

Lag time constant [s]

Lead time constant [s]

Exciter time constant [s]

Rate feedback time constant [s]

Maximum and minimum regulator internal voltages [pu]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Excitation system stabilizer output [pu]

Signal proportional to exciter field current [pu]

Over-excitation limiter input [pu]

Voltage regulator output [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Synchronous machine terminal voltage [pu]

Under-excitation limiter input [pu]

Signal proportional to exciter saturation [pu]

 

 IEEE Alternator Supplied Rectifier Excitation System #2 (AC2A)

 

 

 

Where,

 

Exciter output voltage [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Second stage regulator gain [pu]

Field circuit commutating reactance [pu]

Demagnetizing factor [pu]

Exciter constant related to field [pu]

Rate feedback gain [pu]

Field current feedback gain [pu]

Saturation at VE1 [pu]

Saturation at VE2 [pu]

Regulator time constant [s]

Lag time constant [s]

Lead time constant [s]

Exciter time constant [s]

Rate feedback time constant [s]

Voltage regulator output [pu]

Maximum and minimum regulator internal voltages [pu]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Excitation system stabilizer output [pu]

Signal proportional to exciter field current [pu]

Exciter current limit [pu]

Exciter field current feedback signal [pu]

Over-excitation limiter input [pu]

Voltage regulator output [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Synchronous machine terminal voltage [pu]

Under-excitation limiter input [pu]

Signal proportional to exciter saturation [pu]

 

IEEE Alternator Supplied Rectifier Excitation System #3 (AC3A)

 

 

 

Where,

 

Exciter output voltage [pu]

EFD value at which KF changes [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Field circuit commutating reactance [pu]

Demagnetizing factor [pu]

Exciter constant related to field [pu]

Rate feedback gain below EFDN [pu]

Field limiter loop gain [pu]

Rate feedback gain above EFDN [pu]

Regulator and alternator field supply constant [pu]

Saturation at VE1 [pu]

Saturation at VE2 [pu]

Regulator time constant [s]

Lag time constant [s]

Lead time constant [s]

Exciter time constant [s]

Rate feedback time constant [s]

Voltage regulator output [pu]

Maximum and minimum regulator internal voltages [pu]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Minimum exciter voltage output [pu]

Excitation system stabilizer output [pu]

Signal proportional to exciter field current [pu]

Field current limit [pu]

Field limiter loop reference [pu]

Rate feedback input variable [pu]

Voltage regulator output [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Synchronous machine terminal voltage [pu]

Under-excitation limiter input [pu]

Signal proportional to exciter saturation [pu]

 

IEEE Alternator Supplied Rectifier Excitation System #4 (AC4A)

 

 

 

Where,

 

Exciter output voltage [pu]

Synchronous machine field current [pu]

Regulator integral gain [pu]

Rectifier loading factor [pu]

Regulator time constant [s]

Lag time constant [s]

Lead time constant [s]

Output of terminal voltage transducer and load compensation elements [pu]

Internal voltage within voltage regulator [pu]

Upper and lower limit on error signal [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Under-excitation limiter input [pu]

 

IEEE Alternator Supplied Rectifier Excitation System #5 (AC5A)

 

 

 

Where,

 

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Minimum exciter output [pu]

Regulator gain [pu]

Exciter constant related to field [pu]

Rate feedback gain [pu]

Saturation at EFD1 [pu]

Saturation at EFD2 [pu]

Regulator time constant [s]

Exciter time constant [s]

Rate feedback time constant [s]

Feedback lag time constant [s]

Feedback lead time constant [s]

Output of terminal voltage transducer and load compensation elements [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Signal proportional to exciter saturation [pu]

 

IEEE Alternator Supplied Rectifier Excitation System #6 (AC6A)

 

 

 

Where,

 

Exciter output voltage [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Field circuit commutating reactance [pu]

Demagnetizing factor [pu]

Exciter constant related to field [pu]

Field current feedback gain [pu]

Saturation at VE1 [pu]

Saturation at VE2 [pu]

First lag time constant [s]

Second lag time constant [s]

Second lead time constant [s]

Exciter time constant [s]

Exciter field limiter lag time [s]

Exciter field limiter lead time [s]

First lead time constant [s]

Voltage regulator output [pu]

Maximum and minimum regulator internal voltages [pu]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Signal proportional to exciter field current [pu]

Exciter field current reference [pu]

Exciter field current feedback signal [pu]

Exciter field current limit [pu]

Voltage regulator output [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Synchronous machine terminal voltage [pu]

Under-excitation limiter input [pu]

Signal proportional to exciter saturation [pu]

 

IEEE Alternator Supplied Rectifier Excitation System with Digital Control #1 (AC7B)

 

 

 

Where,

 

Exciter output voltage [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Field circuit commutating reactance [pu]

Demagnetizing factor [pu]

Regulator derivative gain [pu]

Exciter constant related to field [pu]

Feedback gain [pu]

Feedback gain [pu]

Feedback derivative gain [pu]

Inner PI integral gain [pu]

Regulator integral gain [pu]

Lower limit multiplying constant [pu]

Regulator multiplying constant [pu]

Inner PI proportional gain [pu]

Regulator proportional gain [pu]

Saturation at VE1 [pu]

Saturation at VE2 [pu]

Regulator derivative time constant [s]

Exciter time constant [s]

Feedback derivative time constant [s]

Voltage regulator output [pu]

Maximum and minimum regulator internal voltages [pu]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Minimum exciter voltage output [pu]

Signal proportional to exciter field current [pu]

Field current limit [pu]

Field limiter loop reference [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Synchronous machine terminal voltage [pu]

Under-excitation limiter input [pu]

Signal proportional to exciter saturation [pu]

 

IEEE Alternator Supplied Rectifier Excitation System with Digital Control #2 (AC8B)

 

 

 

Where,

 

Exciter voltage for SE1 [pu]

Exciter voltage for SE2 [pu]

Rectifier loading factor, a function of IN [pu]

Synchronous machine field current [pu]

Normalized exciter load current [pu]

Regulator gain [pu]

Field circuit commutating reactance [pu]

Demagnetizing factor [pu]

PID derivative gain [pu]

Exciter constant related to field [pu]

PID integral gain [pu]

PID proportional gain [pu]

Saturation at EFD1 [pu]

Saturation at EFD2 [pu]

Exciter saturation function value at VE

Regulator time constant [s]

Regulator derivative time constant [s]

Exciter time constant [s]

Output of terminal voltage transducer and load compensation elements [pu]

Exciter voltage back of commutating reactance [pu]

Minimum exciter voltage output [pu]

Signal proportional to exciter field current [pu]

Field current limit [pu]

Field limiter loop reference [pu]

Voltage regulator output [pu]

Voltage regulator reference (determined to satisfy initial conditions) [pu]

Maximum and minimum regulator outputs [pu]

Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

Signal proportional to exciter saturation [pu]

 

 

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