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SM DC2C

Discrete-time or continuous-time synchronous machine DC2C excitation system including an automatic voltage regulator and an exciter

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  • SM DC2C block

Description

The SM DC2C block models a synchronous machine type DC2C excitation system that conforms to IEEE 421.5-2016[1].

Use this block to model the control and regulation of the field voltage of a synchronous machine that operates as a generator using a DC commutator rotating exciter.

You can switch between continuous and discrete implementations of the block by using the Sample time (-1 for inherited) parameter. To configure the integrator for continuous time, set the Sample time (-1 for inherited) property to 0. To configure the integrator for discrete time, set the Sample time (-1 for inherited) property to a positive, nonzero value, or to -1 to inherit the sample time from an upstream block.

The SM DC2C block is made up of four major components:

  • The current compensator modifies the measured terminal voltage as a function of terminal current.

  • The voltage measurement transducer simulates the dynamics of a terminal voltage transducer by using a low-pass filter.

  • The excitation control elements component compares the voltage transducer output with a terminal voltage reference to produce a voltage error. This voltage error is then passed through a voltage regulator to produce the exciter field voltage.

  • The DC rotating exciter models the DC commutator rotating exciter and produces a field voltage that is applied to the controlled synchronous machine. The block also feeds the field voltage back to the excitation system.

This diagram shows the overall structure of the DC2C excitation system model:

In the diagram:

  • VT and IT are the measured terminal voltage and current of the synchronous machine.

  • VC1 is the current-compensated terminal voltage.

  • VC is the filtered, current-compensated terminal voltage.

  • VREF is the reference terminal voltage.

  • VS is the power system stabilizer voltage.

  • EFE is the exciter field voltage.

  • EFD is the field voltage.

The following sections describe each of the major parts of the block in detail.

Current Compensator and Voltage Measurement Transducer

The current compensator is modeled as:

VC1=VT+ITRC2+XC2,

where:

  • RC is the load compensation resistance.

  • XC is the load compensation reactance.

The voltage measurement transducer is implemented as a Low-Pass Filter block with the time constant TR. Refer to the documentation for this block for the exact discrete and continuous implementations.

Excitation Control Elements

This diagram illustrates the overall structure of the excitation control elements:

In the diagram:

  • The Summation Point Logic subsystem models the summation point input location for the overexcitation limiter (OEL), underexcitation limiter (UEL), and stator current limiter (SCL) voltages. For more information about using limiters with this block, see Field Current Limiters.

  • The Lead-Lag block models additional dynamics associated with the voltage regulator. Here, TC is the lead time constant and TB is the lag time constant. Refer to the Lead-Lag block documentation for the exact discrete and continuous implementations.

  • The Low-Pass Filter block models the major dynamics of the voltage regulator. Here, KA is the regulator gain and TA is the major time constant of the regulator. The minimum and maximum anti-windup saturation limits for the block are VRmin and VRmax, respectively.

  • The Take-over Logic subsystem models the take-over point input location for the OEL, UEL, and SCL voltages. For more information about using limiters with this block, see Field Current Limiters.

  • The Filtered Derivative block models the rate feedback path for stabilization of the excitation system. Here, KF and TF are the gain and time constant of this system, respectively. Refer to the documentation for the Filtered Derivative block for the exact discrete and continuous implementations.

  • VT*VRmax and VT*VRmin are the minimum and maximum saturation limits for the output exciter field voltage EFE.

Field Current Limiters

You can use various field current limiters to modify the output of the voltage regulator under unsafe operating conditions:

  • Use an overexcitation limiter to prevent overheating of the field winding due to excessive field current demand.

  • Use an underexcitation limiter to boost field excitation when it is too low, which can risk desynchronization.

  • Use a stator current limiter to prevent overheating of the stator windings due to excessive current.

Attach the output of any of these limiters at one of these points:

  • The summation point as part of the automatic voltage regulator (AVR) feedback loop

  • The take-over point to override the usual behavior of the AVR

If you are using the stator current limiter at the summation point, use the single input VSCLsum. If you are using the stator current limiter at the take-over point, use both an overexcitation input VOELscl and an underexcitation input VUELscl.

DC Rotating Exciter

This diagram illustrates the overall structure of the DC commutator rotating exciter:

In the diagram:

  • The exciter field current VFE is modeled as the summation of two signals:

    • The nonlinear function Vx models the saturation of the exciter output voltage.

    • The proportional term KE models the linear relationship between exciter output voltage and the exciter field current.

  • The Integrator subsystem integrates the difference between EFE and VFE to generate the output field voltage Efd. TE is the time constant for this process.

Ports

Input

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Voltage regulator reference set point, in per-unit representation, specified as a scalar.

Data Types: single | double

Input from the power system stabilizer, in per-unit representation, specified as a scalar.

Data Types: single | double

Terminal voltage magnitude in per-unit representation, specified as a scalar.

Data Types: single | double

Terminal current magnitude in per-unit representation, specified as a scalar.

Data Types: single | double

Input from the overexcitation limiter, in per-unit representation, specified as a scalar.

Dependencies

  • To ignore the input from the overexcitation limiter, set Alternate OEL input locations (V_OEL) to Unused.

  • To use the input from the overexcitation limiter at the summation point, set Alternate OEL input locations (V_OEL) to Summation point.

  • To use the input from the overexcitation limiter at the take-over point, set Alternate OEL input locations (V_OEL) to Take-over.

Data Types: single | double

Input from the underexcitation limiter, in per-unit representation, specified as a scalar.

Dependencies

  • To ignore the input from the underexcitation limiter, set Alternate UEL input locations (V_UEL) to Unused.

  • To use the input from the underexcitation limiter at the summation point, set Alternate UEL input locations (V_UEL) to Summation point.

  • To use the input from the underexcitation limiter at the take-over point, set Alternate UEL input locations (V_UEL) to Take-over.

Data Types: single | double

Input from the stator current limiter when using the summation point, in per-unit representation, specified as a scalar.

Dependencies

  • To ignore the input from the stator current limiter, set Alternate SCL input locations (V_SCL) to Unused.

  • To use the input from the stator current limiter at the summation point, set Alternate SCL input locations (V_SCL) to Summation point.

Data Types: single | double

Input from the stator current limiter to prevent field overexcitation when using the take-over point, in per-unit representation, specified as a scalar.

Dependencies

  • To ignore the input from the stator current limiter, set Alternate SCL input locations (V_SCL) to Unused.

  • To use the input from the stator current limiter at the take-over point, set Alternate SCL input locations (V_SCL) to Take-over.

Data Types: single | double

Input from the stator current limiter to prevent field underexcitation when using the take-over point, in per-unit representation, specified as a scalar.

Dependencies

  • To ignore the input from the stator current limiter, set Alternate SCL input locations (V_SCL) to Unused.

  • To use the input from the stator current limiter at the take-over point, set Alternate SCL input locations (V_SCL) to Take-over.

Data Types: single | double

Output

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Per-unit field voltage to be applied to the field circuit of the synchronous machine, returned as a scalar.

Data Types: single | double

Parameters

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General

Initial per-unit voltage to be applied to the field circuit of the synchronous machine.

Time between consecutive block executions. During execution, the block produces outputs and, if appropriate, updates its internal state. For more information, see What Is Sample Time? and Specify Sample Time.

For inherited discrete-time operation, specify -1. For discrete-time operation, specify a positive integer. For continuous-time operation, specify 0.

If this block is in a masked subsystem, or other variant subsystem that allows you to switch between continuous operation and discrete operation, promote the sample time parameter. Promoting the sample time parameter ensures correct switching between the continuous and discrete implementations of the block. For more information, see Promote Parameter to Mask.

Pre-Control

Resistance used in the current compensation system. Set this and Reactance component of load compensation, X_C (pu) to 0 to disable current compensation.

Reactance used in the current compensation system. Set this and Resistive component of load compensation, R_C (pu) to 0 to disable current compensation.

Equivalent time constant for the voltage transducer filtering.

Control

Gain associated with the voltage regulator.

Major time constant of the voltage regulator.

Equivalent lag time constant in the voltage regulator. Set this to 0 when the additional lag dynamics are negligible.

Equivalent lead time constant in the voltage regulator. Set this to 0 when the additional lead dynamics are negligible.

Rate feedback block gain for the stabilization of the excitation system.

Rate feedback block time constant for the stabilization of the excitation system.

Maximum per-unit output voltage of the controller.

Minimum per-unit output voltage of the controller.

Select the overexcitation limiter input location.

Select the underexcitation limiter input location.

Select stator current limiter input location. To specify the SCL input:

  • If you select Summation point, use the V_SCLsum input port.

  • If you select Take-over, use the V_OELscl and V_UELscl input ports.

Exciter

Proportional constant for exciter field.

Time constant for exciter field.

Lower limit for the field voltage.

Exciter output voltage for first saturation factor.

First exciter saturation factor.

Exciter output voltage for second saturation factor.

Second exciter saturation factor.

References

[1] IEEE Recommended Practice for Excitation System Models for Power System Stability Studies. IEEE Std 421.5-2016. Piscataway, NJ: IEEE-SA, 2016.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

See Also

Introduced in R2020a