WOLFRAM SYSTEM MODELER
SMTH3Third-order exponential smoothing |
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Diagram
Wolfram Language
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SystemModel["SystemDynamics.Functions.SMTH3"]
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Information
This is a third-order exponential smoothing function.
In engineering terms, this would be called a third-order low-pass filter consisting of three first-order low-pass filters placed in series. The third-order filter is characterized by the transfer function:
G(s) = (1/(tau*s + 1))^3.
Each first-order filter has a time constants of:
tau = averaging_time/3.
The initial values of the outputs of each of the three first-order filters can be set. However, they can only be set together, i.e., only one parameter is provided for all three of them. By default, they assume values of zero.
Parameters (2)
| averaging_time |
Value: 1 Type: Real Description: Averaging time |
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| smooth_init |
Value: 0 Type: Real Description: Initial value of smoothed variable |
Connectors (2)
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u |
Type: RealInput Description: Input variable |
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y |
Type: RealOutput Description: Output variable |
Components (12)
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Smooth1 |
Type: Level1a Description: General System Dynamics level with no outflow |
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Change_in_Smooth1 |
Type: Rate_1 Description: Unrestricted rate element with one influencing variable |
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source |
Type: Source Description: This is the (dummy) source model of System Dynamics |
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ch_in_smooth1 |
Type: Change_In_Smooth Description: Smoothing rate |
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Smooth2 |
Type: Level1a Description: General System Dynamics level with no outflow |
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Change_in_Smooth2 |
Type: Rate_1 Description: Unrestricted rate element with one influencing variable |
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source1 |
Type: Source Description: This is the (dummy) source model of System Dynamics |
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ch_in_smooth2 |
Type: Change_In_Smooth Description: Smoothing rate |
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Smooth3 |
Type: Level1a Description: General System Dynamics level with no outflow |
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Change_in_Smooth3 |
Type: Rate_1 Description: Unrestricted rate element with one influencing variable |
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source2 |
Type: Source Description: This is the (dummy) source model of System Dynamics |
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ch_in_smooth3 |
Type: Change_In_Smooth Description: Smoothing rate |
Used in Examples (1)
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SystemDynamics.WorldDynamics.World3 Human fertility |
Used in Components (3)
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SystemDynamics.WorldDynamics.World3 Food production |
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SystemDynamics.WorldDynamics.World3 Utilization of non-recoverable natural resources |
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SystemDynamics.WorldDynamics.World3 Pollution dynamics |