High-Gain AVR

ARV-SD excitation regulator.

blockType: SubSystem

Path in the library:

/Physical Modeling/Electrical/Control/SM Control/High-Gain AVR

Description

The High-Gain AVR unit is an excitation regulator that realises the proportional-differential law of generator voltage control according to the following parameters:

Voltage deviation from setpoint;
Rate of voltage change;
Deviations of voltage frequency from nominal voltage;
Rate of change of voltage frequency;
Rate of change of excitation current.

The High-Gain AVR unit can be used as an excitation controller in the synchronous generator model with the control system shown in the diagram.

p controller avr 2

The High-Gain AVR mathematical model is shown in the diagram.

high gain avr 1

In the diagram below

- generator stator voltage;
- setpoint voltage;
- generator stator reactive current;
- transformer reactance compensation fraction;
- generator voltage frequency deviation;
- rotor current;
, , , , - gain coefficients in voltage regulation and stabilisation channels.

Ports

Input

# I_reactive — generator reactive current input value
scalar

Details

The input value of the generator reactive current in relative units.

Data types	`Float64`.
Complex numbers support	No

# V_ref — generator voltage setpoint input value
scalar

Details

The input value of the generator voltage setpoint in relative units.

Data types	`Float64`.
Complex numbers support	No

# V_d — generator voltage input value
scalar

Details

The input value of the oscillator voltage along the d-axis in dq0-coordinates in relative units.

Data types	`Float64`.
Complex numbers support	No

# V_q — generator voltage input value
scalar

Details

The input value of the oscillator voltage along the q-axis in dq0-coordinates in relative units.

Data types	`Float64`.
Complex numbers support	No

# I_fd — generator excitation current input value
scalar

Details

The input value of the field current in relative units.

Data types	`Float64`.
Complex numbers support	No

# Δf — input value of generator voltage frequency deviation
scalar

Details

The input value of the frequency deviation of the oscillator voltage frequency in relative units.

Data types	`Float64`.
Complex numbers support	No

Output

# V_r — output voltage value of the automatic excitation regulator
scalar

Details

Output voltage of the automatic excitation regulator in relative units.

Data types	`Float64`.
Complex numbers support	No

Parameters

Main

# Voltage error gain K0v — voltage deviation channel gain

Details

Gain factor of the voltage deviation channel.

Default value	`50.0`
Program usage name	`K0_v`
Evaluatable	Yes

# Voltage derivative gain K1v — voltage change rate channel gain

Details

Gain factor of the voltage rate channel.

Default value	`5.0`
Program usage name	`K1_v`
Evaluatable	Yes

# Field current derivative gain K1Ifd — gain on the excitation current rate channel

Details

Gain factor of the field current speed channel.

Default value	`5.0`
Program usage name	`K1_I_fd`
Evaluatable	Yes

# Frequency error gain K0f — gain on the channel of voltage frequency deviation from nominal frequency

Details

Gain coefficient of the voltage frequency deviation channel from the rated frequency.

Default value	`2.0`
Program usage name	`K0_f`
Evaluatable	Yes

# Frequency derivative gain K1f — gain on the voltage frequency rate channel

Details

Gain factor of the voltage frequency rate channel.

Default value	`5.0`
Program usage name	`K1_f`
Evaluatable	Yes

# Voltage derivative time constant T1, s — lag time constant of the generator voltage change rate channel

Details

Time constant of the generator voltage change rate channel lag time, in seconds.

Default value	`0.04`
Program usage name	`T1`
Evaluatable	Yes

# Frequency error time constant T2, s — delay time constant of the voltage frequency deviation channel from the nominal voltage frequency

Details

Time constant of the voltage frequency deviation channel delay time from nominal, in seconds.

Default value	`0.9`
Program usage name	`T2`
Evaluatable	Yes

# Frequency derivative time constant T3, s — lag time constant of the voltage frequency rate channel

Details

Time constant of the voltage rate channel lag time, in seconds.

Default value	`0.04`
Program usage name	`T3`
Evaluatable	Yes

# Frequency time constant T4, s — delay time constant of the common frequency channel

Details

Time lag constant of the common frequency channel, in seconds.

Default value	`0.07`
Program usage name	`T4`
Evaluatable	Yes

# Field current derivative time constant T5, s — time constant of the lag time of the excitation current rate channel

Details

Delay time constant of the field current speed channel, in seconds.

Default value	`0.04`
Program usage name	`T5`
Evaluatable	Yes

# Regulator time constant T6, s — delay time constant of the common ADF channel

Details

Time constant of the common channel ARV delay time, in seconds.

Default value	`0.0`
Program usage name	`T6`
Evaluatable	Yes

# Сompensated transformer resistance Xcompounding, pu — transformer reactance compensated by the controller

Details

Transformer reactance compensated by the regulator, given in relative units.

Default value	`0.0`
Program usage name	`X_compounding`
Evaluatable	Yes

# Voltage regulator limits [VRmax VRmin], pu — regulator output voltage value limits

Details

The maximum and minimum output voltage value of the regulator in relative units.

Default value	`[6.0 -6.0]`
Program usage name	`voltage_regulator_limits`
Evaluatable	Yes

Initial Values

# Initial condition of the regulator voltage Vr0, pu — initial value of the voltage regulator

Details

Initial value of the voltage regulator in relative units.

Default value	`1.0`
Program usage name	`voltage_regulator_start`
Evaluatable	Yes

# Reference voltage Vref, pu — voltage setpoint

Details

Voltage setpoint value in relative units.

Default value	`1.0`
Program usage name	`V_ref`
Evaluatable	Yes

Machine Initial Values

# Initial condition of field current Ifd0, pu — initial value of generator excitation current

Details

Initial value of the generator field current in relative units.

Default value	`1.0`
Program usage name	`I_fd_start`
Evaluatable	Yes

# Initial condition of terminal voltage magnitude Vmag0, pu — initial voltage value at the generator terminals

Details

The initial value of the generator terminal voltage in relative units.

Default value	`1.0`
Program usage name	`V_mag_start`
Evaluatable	Yes

# Initial condition of terminal reactive current Ireactive0, pu — initial value of generator reactive current

Details

Initial value of generator current in relative units.

Default value	`0.1`
Program usage name	`I_r_mag_start`
Evaluatable	Yes

Literature

A.A. Yurganov, V.A. Kozhevnikov. Regulation of Excitation of Synchronous Generators.
V.P. Shoiko. Automatic regulation in electrical systems.