Multi-Mass Torsional Shaft Interface (Obsolete)

 

 

 

Description

This component simulates the dynamics of up to 26 masses connected to a single rotating shaft.  One mass is normally used to represent the generator, and the electrical torque Te is applied to it.  One mass may be used to represent an exciter.  The remaining masses represent turbines, and the mechanical torque Tm is divided among them.  The resulting speed of the generator Wpu or Wrad is then output, for use as input to the interfaced machine model.

 

 

More:

Multi-Mass Torsional Shaft Model

Input Parameters

ConfigurationConfiguration

 

 For Use With...

 

Choice

 

Select Synchronous Machine, Induction Machine, DC Machine or PM Machine.

 

 

 

 

 

Number of Turbines

 

INTEGER

Literal

Enter the number of turbines (1 to 25).  If 25 turbines are desired, the exciter mass cannot be modeled.

 

 

 

 

 

Model Exciter Mass

 

Choice

 

Select Yes or No.  If 5 turbines are desired, the exciter mass cannot be modeled

 

 

 

 

 

Machine Total MVA

 

REAL

Constant

The 3-phase MVA of the machine, to which the multi-mass is attached [MVA]

 

 

 

 

 

Electrical Base Frequency

 

REAL

Constant

Enter electrical base frequency [Hz]

 

 

 

 

 

Machine Mechanical Synchronous Speed

 

REAL

Constant

Actual speed of the machine [rpm]

 

 

 

 

 

Machine Initial Electrical Speed

 

REAL

Constant

Initial speed of the machine [pu]

 

 

 

 

 

Unit System Number (see help)

 

Choice

 

Select 1 to 10.  See the table below for definitions

 

 

 

 

 

Initialization switch: 0-Init;1-Release

 

INTEGER

Variable

0-Initialization, 1-Release.  Until the switch turns 1 the generator will be spinning at the 'Machine rated speed' or at rated slip.  The variable name can come from the one assigned in the synchronous  machine under the Output Variables for Controller Initialization section of the input parameters.

 

System of Units Table

 

Unit System

Inertia Constant

Ji or Hi

Mutual Damping

MDij

Spring Constant

Kij

Torque Share

TFi

Self Damping

SDi

1

lbftft

-

lbfft/rad

pu

-

2

inlbfs2

-

lbfin/rad

pu

-

3

lbinin

-

lbfin/rad

pu

-

4

H [s]

-

pu

pu

-

5

kgmm

-

Nm/rad

pu

-

6

lbftft

lbffts/rad

lbfft/rad

pu

lbffts/rad

7

inlbfs2

lbfins/rad

lbfin/rad

pu

lbfins/rad

8

lbinin

lbfins/rad

lbfin/rad

pu

lbfins/rad

9

H [s]

pu

pu

pu

pu

10

kgmm

Nms/rad

Nm/rad

pu

Nms/rad

 

Initialization Data InterfaceInitialization Data Interface

 

 Output Initialized Mechanical Torque

 

Choice

 

Select Yes or No.  This input could be used to initialize the governor/turbine and is available only if the For Use With... input parameter is set to Synchronous Machine

 

 

 

 

 

Input Initialized Steady Electrical Torque

 

Choice

 

Select Yes or No.  If the steady state Electrical Torque is available, this could be used to initialize the multi-mass and is available only if the For Use With... input parameter is set to Synchronous Machine.

 

 

Inertia ConstantsInertia Constants

NOTE:  The inertia constants must be entered in the units specified in the Unit System Number input parameter

 

 Turbine # Inertia Constant

 

REAL

Constant

Enter the inertia constant for the corresponding turbine

 

Shaft Spring ConstantShaft Spring Constant

NOTE:  The spring constants must be entered in the units specified in the Unit System Number input parameter

 

 Spring Constant From Turbine # to #

 

REAL

Constant

The shaft spring constants are used to describe the dynamics of the shaft.  The torque exerted on the adjacent masses by the shaft is proportional to the relative mechanical angles between those masses.

 

Turbine Torque ShareTurbine Torque Share

 

 Torque Share for Turbine #

 

REAL

Constant

The total mechanical torque applied to the multi-mass system may be distributed over the turbine masses.  Each turbine receives a fraction of the total mechanical torque: Its torque share.  The sum of the torque shares for all turbines modeled must total 1 (one) [pu]

 

Uniform Model DampingUniform Model Damping

 

 Modal Damping for all Modes

 

REAL

Constant

A uniform modal damping factor for all modes.  This input is used only for Unit System Numbers 1 to 5.  The time constant for the decay of all modal oscillations is inverse of this [1/s]

 

Self DampingSelf Damping

NOTE:  The damping constants must be entered in the units specified in the Unit System Number input parameter

 

 Turbine # Self Damping

 

REAL

Constant

The self-damping coefficient creates a torque on the appropriate mass which is proportional to the speed of the mass.  This may be used to represent friction and windage for the mass.  

 

 

Mutual DampingMutual Damping

NOTE:  The damping constants must be entered in the units specified in the Unit System Number input parameter

 

 Damping Between Turbine # & #

 

REAL

Constant

The mutual damping coefficient creates a torque, which is proportional to the difference in speed from one mass to the next.  Thus, this torque will not be applied in steady state, but will damp out oscillations between masses.

 

 

Generator and Exciter DataGenerator and Exciter Data

 

 Generator Inertia Constant

 

REAL

Constant

Enter the inertia constant for the generator

 

 

 

 

 

Exciter Inertia Constant

 

REAL

Constant

Enter the inertia constant for the generator exciter

 

 

 

 

 

Spring Constant from the Last Turbine to Generator

 

REAL

Constant

Spring constant for the shaft between the generator and the turbine connected to it.

 

 

 

 

 

Spring Constant from Generator to Exciter

 

REAL

Constant

Spring constant for the shaft connecting the generator to the excitor.

 

 

 

 

 

Generator Self Damping

 

REAL

Constant

The self-damping coefficient creates a torque on the appropriate mass which is proportional to the speed of the mass. This may be used to represent friction and windage for the mass.

 

 

 

 

 

Exciter Self Damping

 

REAL

Constant

The self-damping coefficient creates a torque on the appropriate mass which is proportional to the speed of the mass. This may be used to represent friction and windage for the mass.

 

 

 

 

 

Damping Between Last Turbine and Generator

 

REAL

Constant

The mutual damping coefficient creates a torque, which is proportional to the difference in speed from one mass to the next.  Thus, this torque will not be applied in steady state, but will damp out oscillations between masses.

 

 

 

 

 

Damping Between Generator and Exciter

 

REAL

Constant

The mutual damping coefficient creates a torque, which is proportional to the difference in speed from one mass to the next.  Thus, this torque will not be applied in steady state, but will damp out oscillations between masses.

 

 

Internal Output Variable Names - 1Internal Output Variable Names - 1

 

Torque on Shaft from Mass # - #

 

REAL

Output

Torque experienced by the shaft # [pu].

 

Internal Output Variable Names - 2Internal Output Variable Names - 2

 

Mechanical Position  of Mass # Relative to Generator

 

REAL

Output

Mechanical position of mass # with respect to the generator [rad].

 

Internal Output Variable Names - 3Internal Output Variable Names - 3

 

Rated Mechanical Speed of the system

 

REAL

Output

Rated mechanical speed [rad/s].

 

 

 

 

 

Delta Mechanical Speed of Mass #

 

REAL

Output

Difference between the rated speed and the speed of mass # [rad/s].