[944] | 1 | #*------------------------------------------------------------------- |
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| 2 | * EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC. |
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| 3 | * |
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| 4 | * This LIBRARY is free software; you can distribute it and/or modify |
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| 5 | * it under the therms of the ALSOC FREE LICENSE as available at |
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| 6 | * http://www.enq.ufrgs.br/alsoc. |
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| 7 | * |
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| 8 | * EMSO is distributed under the terms of the ALSOC LICENSE as |
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| 9 | * available at http://www.enq.ufrgs.br/alsoc. |
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| 10 | *----------------------------------------------------------------------- |
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| 11 | * Author: Jonathan Ospino P. |
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| 12 | * $Id: Lead_Lag.mso 2012$ |
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| 13 | *---------------------------------------------------------------------*# |
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| 14 | |
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| 15 | using "types"; |
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| 16 | |
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| 17 | Model Lead_Lag |
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| 18 | |
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| 19 | ATTRIBUTES |
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| 20 | Pallete=true; |
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| 21 | Icon="icon/Lead-Lag"; |
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| 22 | Info="== Lead-Lag Unit == |
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| 23 | |
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| 24 | It takes an input variable and computes |
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| 25 | the respective value of the output variable according |
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| 26 | to a Lead-Lag Unit Dynamics."; |
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| 27 | |
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| 28 | PARAMETERS |
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| 29 | TauLD as time_sec(Brief="Lead Time constant"); |
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| 30 | TauLG as time_sec(Brief="Lag Time constant"); |
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| 31 | |
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| 32 | VARIABLES |
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| 33 | in In as Real(Brief="Input variable",Protected=true,PosX=0,PosY=0.5); |
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| 34 | x as Real(Brief="Intermediate variable",Hidden=true); |
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| 35 | out Out as Real(Brief="Output variable",Protected=true,PosX=1,PosY=0.5); |
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| 36 | |
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| 37 | EQUATIONS |
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| 38 | |
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| 39 | #* A lead-lag unit can be interpreted as a pure lag unit |
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| 40 | followed by a pure lead unit |
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| 41 | *# |
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| 42 | |
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| 43 | "Pure Lag Unit Dynamics (FOD)" |
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| 44 | TauLG*diff(x)+x=In; |
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| 45 | |
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| 46 | "Pure Lead Unit Dynamics (FOD)" |
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| 47 | Out=TauLD*diff(x)+x; |
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| 48 | |
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| 49 | INITIAL |
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| 50 | x=0; |
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| 51 | end |
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