Governor Type 1

A linearised model of a hydraulic turbine with IEEE type 1 speed controller.

blockType: SubSystem

Path in the library:

/Physical Modeling/Electrical/Control/Turbine-Governors/Governor Type 1

Description

The unit Governor Type 1 is a model of a steam turbine with IEEEG1 speed controller.

This block allows modelling a twin-shaft turbine and has two sets of fractions:

LP Fraction, K_2, LP Fraction, K_4, LP Fraction, K_6, LP Fraction, K_8 for low pressure (LP).
HP Fraction, K_1, HP Fraction, K_3, HP Fraction, K_5, HP Fraction, K_7 for high pressure (HP).

This diagram illustrates the general structure of the unit:

governor type 1 2

Ports

Input

# ω — turbine speed
scalar

Details

Turbine speed in relative units, given as a scalar.

Data types	`Float32`, `Float64`.
Complex numbers support	No

# P_ref — reference speed offset
scalar

Details

The offset applied to the turbine load controller load speed reference is returned as a scalar. Connect this port to the Pref output port of a turbine load controller unit, such as a unit Controller LCFB1

Data types	`Float32`, `Float64`.
Complex numbers support	No

Output

# P_m(HP) — high-pressure mechanical power
scalar

Details

High-pressure mechanical power, returned as a scalar.

Data types	`Float32`, `Float64`.
Complex numbers support	No

# P_m(LP) — low-pressure mechanical power
scalar

Details

Low-pressure mechanical power returned as a scalar.

Data types	`Float32`, `Float64`.
Complex numbers support	No

Parameters

Main group

# Speed reference, pu — speed setting

Details

Speed reference in relative units.

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

# Initial torque, pu — initial torque

Details

Initial torque per unit at the start of the simulation.

Default value	`0.45`
Program usage name	`torque_start`
Evaluatable	Yes

Main

# Governor gain K, pu — controller gain

Details

The controller gain.

Default value	`20.0`
Program usage name	`K`
Evaluatable	Yes

# Lag time constant T_1, s — controller lag time constant

Details

Equivalent lag time constant. This parameter is related to the block labelled Lead-Lag in the diagram. Set this parameter to 0 if the additional lag dynamics are negligible.

Default value	`0.2`
Program usage name	`T1`
Evaluatable	Yes

# Lead time constant T_2, s — controller advance time constant

Details

Equivalent advance time constant. This parameter is related to the block labelled Lead-Lag in the diagram. Set this parameter to 0 if the additional advance dynamics are negligible.

Default value	`0.0`
Program usage name	`T2`
Evaluatable	Yes

# Valve position time constant T_3, s — valve position time constant

Details

Time constant of the valve position.

Default value	`0.1`
Program usage name	`T3`
Evaluatable	Yes

# Maximum valve opening rate U_o, pu/s — maximum valve opening speed

Details

Maximum valve opening speed.

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

# Maximum valve closing rate U_c, pu/s — maximum valve closing speed

Details

Maximum valve closing speed.

Default value	`-0.1`
Program usage name	`U_c`
Evaluatable	Yes

# Maximum valve opening, on MW capability P_max, pu — maximum valve opening o.e., at power P-max

Details

Maximum valve opening o.e., at P-max output.

Default value	`0.98`
Program usage name	`P_max`
Evaluatable	Yes

# Minimum valve opening, on MW capability P_min, pu — Minimum valve opening o.e., at power P-min

Details

Minimum valve opening o.e., at power P-min.

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

# Time constant for steam inlet T_4, s — time constant of incoming steam

Details

Vapour inlet time constant. This parameter is related to the block labelled Low-Pass Filter in the diagram.

Default value	`0.25`
Program usage name	`T4`
Evaluatable	Yes

# HP fraction K_1 — power degree of the high-pressure shaft, K_1

Details

Power degree of the high-pressure shaft after the first boiler pass.

Default value	`0.22`
Program usage name	`K1`
Evaluatable	Yes

# LP fraction K_2 — power degree of the low-pressure shaft, K_2

Details

Power degree of the low-pressure shaft after the first boiler pass.

Default value	`0.0`
Program usage name	`K2`
Evaluatable	Yes

# Time constant for second boiler pass T_5, s — time constant for the second boiler pass

Details

Time constant for the second boiler pass. This parameter is associated with the block labelled in the diagram as Low-Pass Filter1.

Default value	`4.0`
Program usage name	`T5`
Evaluatable	Yes

# HP fraction, K_3 — power degree of the high-pressure shaft, K_3

Details

Power degree of the high-pressure shaft after the second boiler pass.

Default value	`0.22`
Program usage name	`K3`
Evaluatable	Yes

# LP fraction, K_4 — power degree of the low-pressure shaft, K_4

Details

Power degree of the low-pressure shaft after the second boiler pass.

Default value	`0.0`
Program usage name	`K4`
Evaluatable	Yes

# Time constant for third boiler pass T_6, s — time constant for the third boiler pass

Details

Time constant for the third boiler pass. This parameter is related to the block labelled in the diagram as Low-Pass Filter2.

Default value	`4.0`
Program usage name	`T6`
Evaluatable	Yes

# HP fraction, K_5 — power degree of the high-pressure shaft, K_5

Details

Power degree of the high-pressure shaft after the third boiler pass.

Default value	`0.3`
Program usage name	`K5`
Evaluatable	Yes

# LP fraction, K_6 — power degree of the low-pressure shaft, K_6

Details

Power degree of the low-pressure shaft after the third boiler pass.

Default value	`0.0`
Program usage name	`K6`
Evaluatable	Yes

# Time constant for fourth boiler pass T_7, s — time constant for the fourth boiler pass

Details

Time constant for the fourth boiler pass. This parameter is associated with the block labelled in the diagram as Low-Pass Filter3.

Default value	`0.4`
Program usage name	`T7`
Evaluatable	Yes

# HP fraction, K_7 — power degree of the high-pressure shaft, K_7

Details

Power degree of the high-pressure shaft after the fourth boiler pass.

Default value	`0.26`
Program usage name	`K7`
Evaluatable	Yes

# LP fraction, K_8 — power degree of the low-pressure shaft, K_8

Details

Power degree of the low-pressure shaft after the fourth boiler pass.

Default value	`0.0`
Program usage name	`K8`
Evaluatable	Yes

# Deadband — dead band width

Details

Specifies the width of the deadband from +deadband to -deadband.

Default value	`0.02`
Program usage name	`deadband`
Evaluatable	Yes

Literature

"Dynamic Models for Steam and Hydro Turbines in Power System Studies, IEEE Transactions on Power Apparatus and Systems." Vol. PAS-92, Number 6, 1973, pp. 1904-1915.
"Task Force on Turbine-Governor Modeling, Dynamic models for turbine-governors in power system studies", IEEE Power Energy Society, January 2013.
"IEEE Guide for the Application of Turbine Governor Systems for Hydroelectric Generating Units", IEEE Std 1207-2011.