Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation

Collection of validation models

Information

This package contains validation models for the classes in Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.

Note that most validation models contain simple input data which may not be realistic, but for which the correct output can be obtained through an analytic solution. The examples plot various outputs, which have been verified against these solutions. These model outputs are stored as reference data and used for continuous validation whenever models in the library change.

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name Description
Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_FreProSta Enable_FreProSta Model validates economizer disable for heating zone state and activated freeze protection
Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_TOut_hOut Enable_TOut_hOut Model validates economizer disable in case outdoor air conditions are above cutoff
Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_LoopDisable Limits_LoopDisable Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits
Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_VOut_flow Limits_VOut_flow Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits
Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Modulation_TSup Modulation_TSup Validation model for multi zone VAV AHU outdoor and return air damper position modulation sequence

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_FreProSta Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_FreProSta

Model validates economizer disable for heating zone state and activated freeze protection

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_FreProSta

Information

This example validates Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable for the following control signals: zone state, freeze protection stage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

TypeNameDefaultDescription
TemperatureTOutCutoff297.15Outdoor temperature high limit cutoff [K]
SpecificEnergyhOutCutoff65100Outdoor air enthalpy high limit cutoff [J/kg]

Modelica definition

model Enable_FreProSta "Model validates economizer disable for heating zone state and activated freeze protection" extends Modelica.Icons.Example; parameter Modelica.SIunits.Temperature TOutCutoff=297.15 "Outdoor temperature high limit cutoff"; parameter Modelica.SIunits.SpecificEnergy hOutCutoff=65100 "Outdoor air enthalpy high limit cutoff"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable enaDis "Multi zone VAV AHU enable disable sequence"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant TOutBelowCutoff(final k=TOutCutoff - 2) "Outdoor air temperature is slightly below the cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant TOutCut(final k= TOutCutoff); Buildings.Controls.OBC.CDL.Continuous.Sources.Constant hOutBelowCutoff(final k=hOutCutoff - 1000) "Outdoor air enthalpy is slightly below the cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant hOutCut(final k= hOutCutoff) "Outdoor air enthalpy cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMax(final k=0.9) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMin(final k=0.1) "Minimal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPhyPosMax(final k=1) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMax(final k=0.8) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMin(final k=0) "Minimal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Logical.Sources.Constant supFanSta(k=true); Buildings.Controls.OBC.CDL.Logical.Sources.Pulse booPul1(period=1800); Buildings.Controls.OBC.CDL.Conversions.BooleanToInteger freProSta1( integerTrue=Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage0, integerFalse=Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage1) "Freese protection stage changes from stage 0 to stage 1"; equation connect(TOutCut.y, enaDis.TOutCut); connect(TOutBelowCutoff.y, enaDis.TOut); connect(hOutBelowCutoff.y, enaDis.hOut); connect(hOutCut.y, enaDis.hOutCut); connect(outDamPosMin.y, enaDis.uOutDamPosMin); connect(outDamPosMax.y, enaDis.uOutDamPosMax); connect(retDamPosMin.y, enaDis.uRetDamPosMin); connect(retDamPosMax.y, enaDis.uRetDamPosMax); connect(retDamPhyPosMax.y, enaDis.uRetDamPhyPosMax); connect(supFanSta.y, enaDis.uSupFan); connect(booPul1.y, freProSta1.u); connect(freProSta1.y, enaDis.uFreProSta); end Enable_FreProSta;

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_TOut_hOut Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_TOut_hOut

Model validates economizer disable in case outdoor air conditions are above cutoff

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Enable_TOut_hOut

Information

This example validates Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable for the following control signals: TOut, TOutCut, hOut, hOutCut.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Enable_TOut_hOut "Model validates economizer disable in case outdoor air conditions are above cutoff" extends Modelica.Icons.Example; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant TOutCut(final k= TOutCutoff) "Outdoor air temperature cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant hOutCut1(final k= hOutCutoff) "Outdoor air enthalpy cutoff"; Buildings.Controls.OBC.CDL.Logical.TriggeredTrapezoid TOut( final rising=1000, final falling=800, final amplitude=4, final offset=TOutCutoff - 2) "Outoor air temperature"; Buildings.Controls.OBC.CDL.Logical.TriggeredTrapezoid hOut( final amplitude=4000, final offset=hOutCutoff - 2200, final rising=1000, final falling=800) "Outdoor air enthalpy"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable enaDis "Multi zone VAV AHU economizer enable disable sequence"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable enaDis1 "Multi zone VAV AHU economizer enable disable sequence"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Enable enaDis2(final use_enthalpy=false) "Multi zone VAV AHU economizer enable disable sequence"; protected final parameter Modelica.SIunits.Temperature TOutCutoff=297.15 "Outdoor temperature high limit cutoff"; final parameter Modelica.SIunits.SpecificEnergy hOutCutoff=65100 "Outdoor air enthalpy high limit cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant hOutCut(final k= hOutCutoff) "Outdoor air enthalpy cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant TOutCut1(final k= TOutCutoff) "Outdoor air temperature cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant hOutBelowCutoff(final k=hOutCutoff - 1000) "Outdoor air enthalpy is slightly below the cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant TOutBelowCutoff(final k=TOutCutoff - 2) "Outdoor air temperature is slightly below the cutoff"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMax(final k=0.9) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMin(final k=0.1) "Minimal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMax(final k=0.8) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMin(final k=0) "Minimal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPhyPosMax(final k=1) "Maximal allowed economizer damper position"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant freProSta(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage0) "Freeze Protection Status - Disabled"; Buildings.Controls.OBC.CDL.Logical.Sources.Constant supFanSta(final k=true) "Supply fan status signal"; Buildings.Controls.OBC.CDL.Logical.Sources.Pulse booPul(final startTime=10, final period=2000) "Boolean pulse signal"; Buildings.Controls.OBC.CDL.Logical.Sources.Pulse booPul1(final startTime=10, final period=2000) "Boolean pulse signal"; equation connect(TOutCut.y, enaDis.TOutCut); connect(hOutCut.y, enaDis.hOutCut); connect(freProSta.y, enaDis.uFreProSta); connect(outDamPosMax.y, enaDis.uOutDamPosMax); connect(outDamPosMin.y, enaDis.uOutDamPosMin); connect(retDamPhyPosMax.y, enaDis.uRetDamPhyPosMax); connect(retDamPosMax.y, enaDis.uRetDamPosMax); connect(retDamPosMin.y, enaDis.uRetDamPosMin); connect(TOutCut1.y, enaDis1.TOutCut); connect(hOutCut1.y, enaDis1.hOutCut); connect(hOutBelowCutoff.y, enaDis.hOut); connect(TOutBelowCutoff.y, enaDis1.TOut); connect(booPul.y, TOut.u); connect(TOut.y, enaDis.TOut); connect(booPul1.y, hOut.u); connect(hOut.y, enaDis1.hOut); connect(freProSta.y, enaDis1.uFreProSta); connect(outDamPosMax.y, enaDis1.uOutDamPosMax); connect(outDamPosMin.y, enaDis1.uOutDamPosMin); connect(retDamPhyPosMax.y, enaDis1.uRetDamPhyPosMax); connect(retDamPosMax.y, enaDis1.uRetDamPosMax); connect(retDamPosMin.y, enaDis1.uRetDamPosMin); connect(TOut.y, enaDis2.TOut); connect(TOutCut.y, enaDis2.TOutCut); connect(freProSta.y, enaDis2.uFreProSta); connect(outDamPosMax.y, enaDis2.uOutDamPosMax); connect(outDamPosMin.y, enaDis2.uOutDamPosMin); connect(retDamPhyPosMax.y, enaDis2.uRetDamPhyPosMax); connect(retDamPosMax.y, enaDis2.uRetDamPosMax); connect(retDamPosMin.y, enaDis2.uRetDamPosMin); connect(supFanSta.y, enaDis.uSupFan); connect(supFanSta.y, enaDis1.uSupFan); connect(supFanSta.y, enaDis2.uSupFan); end Enable_TOut_hOut;

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_LoopDisable Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_LoopDisable

Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_LoopDisable

Information

This example validates enable/disable conditions for Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits for the following input signals: uSupFan, uFreProSta, uOpeMod.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Limits_LoopDisable "Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits" extends Modelica.Icons.Example; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant VOutMinSet_flow(final k=VOutSet_flow) "Outdoor airflow rate setpoint, 15cfm/occupant and 100 occupants"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant VOutMinSet1_flow( final k=VOutSet_flow) "Outdoor airflow rate setpoint, 15cfm/occupant and 100 occupants"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant VOutMinSet2_flow( final k=VOutSet_flow) "Outdoor airflow rate setpoint, 15cfm/occupant and 100 occupants"; // Fan Status Buildings.Controls.OBC.CDL.Logical.Sources.Constant fanSta(final k=false) "Fan is off"; // Operation Mode Buildings.Controls.OBC.CDL.Integers.Sources.Constant opeMod1(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.OperationModes.warmUp) "AHU operation mode is NOT Occupied"; // Freeze Protection Stage Buildings.Controls.OBC.CDL.Integers.Sources.Constant freProSta2(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage2) "Freeze protection stage is 2"; Buildings.Controls.OBC.CDL.Continuous.Sources.Ramp VOut_flow( final duration=1800, final offset=minVOutSet_flow, final height=incVOutSet_flow) "Measured outdoor airflow rate"; Buildings.Controls.OBC.CDL.Continuous.Sources.Ramp VOut1_flow( final duration=1800, final offset=minVOutSet_flow, final height=incVOutSet_flow) "Measured outdoor airflow rate"; Buildings.Controls.OBC.CDL.Continuous.Sources.Ramp VOut2_flow( final duration=1800, final offset=minVOutSet_flow, final height=incVOutSet_flow) "Measured outdoor airflow rate"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits damLim "Multi zone VAV AHU minimum outdoor air control - damper position limits"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits damLim1 "Multi zone VAV AHU minimum outdoor air control - damper position limits"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits damLim2 "Multi zone VAV AHU minimum outdoor air control - damper position limits"; protected final parameter Modelica.SIunits.VolumeFlowRate VOutSet_flow=0.71 "Example volumetric airflow setpoint, 15cfm/occupant, 100 occupants"; final parameter Modelica.SIunits.VolumeFlowRate minVOutSet_flow=0.61 "Volumetric airflow sensor output, minimum value in the example"; final parameter Modelica.SIunits.VolumeFlowRate incVOutSet_flow=0.2 "Maximum increase in airflow volume during the example simulation"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant freProSta(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage1) "Freeze protection stage is 1"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant opeMod(final k=Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.OperationModes.occupied) "AHU operation mode is Occupied"; Buildings.Controls.OBC.CDL.Logical.Sources.Constant fanStatus1(final k=true) "Fan is on"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant freProSta1(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage1) "Freeze protection stage is 1"; Buildings.Controls.OBC.CDL.Logical.Sources.Constant fanStatus2(final k=true) "Fan is on"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant opeMod2(final k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.OperationModes.occupied) "AHU operation mode is Occupied"; equation connect(VOut_flow.y, damLim.VOut_flow_normalized); connect(VOutMinSet_flow.y, damLim.VOutMinSet_flow_normalized); connect(fanSta.y, damLim.uSupFan); connect(freProSta.y, damLim.uFreProSta); connect(VOut1_flow.y, damLim1.VOut_flow_normalized); connect(VOutMinSet1_flow.y, damLim1.VOutMinSet_flow_normalized); connect(fanStatus1.y, damLim1.uSupFan); connect(freProSta1.y, damLim1.uFreProSta); connect(VOut2_flow.y, damLim2.VOut_flow_normalized); connect(VOutMinSet2_flow.y, damLim2.VOutMinSet_flow_normalized); connect(fanStatus2.y, damLim2.uSupFan); connect(freProSta2.y, damLim2.uFreProSta); connect(opeMod.y, damLim.uOpeMod); connect(opeMod1.y, damLim1.uOpeMod); connect(opeMod2.y, damLim2.uOpeMod); end Limits_LoopDisable;

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_VOut_flow Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_VOut_flow

Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Limits_VOut_flow

Information

This example validates Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits for the following control signals: VOut_flow, VOutMinSet_flow. The control loop is always enabled in this example.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Limits_VOut_flow "Validation model for the multi zone VAV AHU minimum outdoor air control - damper position limits" extends Modelica.Icons.Example; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant VOutMinSet_flow(k= minVOutSet_flow) "Outdoor volumetric airflow rate setpoint, 15cfm/occupant and 100 occupants"; Buildings.Controls.OBC.CDL.Continuous.Sources.Ramp VOut_flow( duration=1800, offset=VOutMin_flow, height=incVOutSet_flow) "Measured outdoor airflow rate"; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Limits damLim "Multi zone VAV AHU minimum outdoor air control - damper position limits"; protected parameter Modelica.SIunits.VolumeFlowRate minVOutSet_flow=0.71 "Example volumetric airflow setpoint, 15cfm/occupant, 100 occupants"; parameter Modelica.SIunits.VolumeFlowRate VOutMin_flow=0.61 "Minimal measured volumetric airflow"; parameter Modelica.SIunits.VolumeFlowRate incVOutSet_flow=(minVOutSet_flow - VOutMin_flow)*2 "Maximum volumetric airflow increase during the example simulation"; Buildings.Controls.OBC.CDL.Logical.Sources.Constant fanStatus(k=true) "Fan is on"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant freProSta(k=Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.FreezeProtectionStages.stage0) "Freeze protection status 0 - disabled"; Buildings.Controls.OBC.CDL.Integers.Sources.Constant operationMode(k= Buildings.Controls.OBC.ASHRAE.G36_PR1.Types.OperationModes.occupied) "Operation mode is Occupied"; equation connect(VOut_flow.y, damLim.VOut_flow_normalized); connect(VOutMinSet_flow.y, damLim.VOutMinSet_flow_normalized); connect(fanStatus.y, damLim.uSupFan); connect(freProSta.y, damLim.uFreProSta); connect(operationMode.y, damLim.uOpeMod); end Limits_VOut_flow;

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Modulation_TSup Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Modulation_TSup

Validation model for multi zone VAV AHU outdoor and return air damper position modulation sequence

Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Validation.Modulation_TSup

Information

This example validates Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Modulation for a varying supply air temperature control loop signal. The instance mod is in normal operation, whereas for the instance modFre, the damper limits are as if the mixed air temperature were below its freezing set point.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Modelica definition

model Modulation_TSup "Validation model for multi zone VAV AHU outdoor and return air damper position modulation sequence" extends Modelica.Icons.Example; Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Modulation mod "Economizer modulation sequence"; Buildings.Controls.OBC.CDL.Continuous.Sources.Ramp uTSup( final duration=900, final height=2, final offset=-1) "Control signal for supply air temperature loop"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMin(final k=0.1); Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMax(final k=0.8); Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMin(final k=0.2); Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMax(final k=0.6); Buildings.Controls.OBC.ASHRAE.G36_PR1.AHUs.MultiZone.Economizers.Subsequences.Modulation modFre "Economizer modulation sequence if the dampers positions prevent freezing at the mixed air"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant outDamPosMaxFre(final k=0) "Outdoor damper if freeze protection is on"; Buildings.Controls.OBC.CDL.Continuous.Sources.Constant retDamPosMinFre(final k=1) "Return damper position if freeze protection is on"; equation connect(retDamPosMax.y, mod.uRetDamPosMax); connect(retDamPosMin.y, mod.uRetDamPosMin); connect(outDamPosMax.y, mod.uOutDamPosMax); connect(outDamPosMin.y, mod.uOutDamPosMin); connect(uTSup.y, mod.uTSup); connect(retDamPosMax.y, modFre.uRetDamPosMax); connect(outDamPosMin.y, modFre.uOutDamPosMin); connect(uTSup.y, modFre.uTSup); connect(outDamPosMaxFre.y, modFre.uOutDamPosMax); connect(retDamPosMinFre.y, modFre.uRetDamPosMin); end Modulation_TSup;