JARA2i.cutsB

Information

JARA connectors

A set of physical magnitudes is grouped into the same causal connector if their connection corresponds to the same model application context.
Four different model application contexts have been distinguished in JARA:

• Mass-flow.
• Heat-flow.
• Information transmission.
• Volume constraint.

The causal connectors defined in JARA have only one allowed computational causality.
This is not imposed by the design methodology, but it is a result of the JARA modeling approximations.
Attending to their computational causality, two types of JARA causal connectors are distinguished: capacitive and resistive.

Definition 1. A connector is capacitive if and only if it satisfies the following two conditions:

1. The across variables are computational outputs and they are only a function of state variables and/or time.
2. The through variables are computational inputs.

Definition 2. A connector is resistive if and only if it satisfies the following two conditions:

1. The across variables are computational inputs.
2. The through variables are computational outputs.

The capacitive and resistive connectors are causal connectors. The computational causalities of the capacitive and resistive connectors have been schematically represented in Figure 1. The arrow pointing toward the element represents a computational input and the arrow pointing outwards means computational output. The vertical line perpendicular to the arrow represents the breaking of the causality computational loop by means of integrators (the bond graphs notation is adopted ).

The mass-flow, heat-flow, information transmision and volume constraint causal connector classes are described in Table 1, 2, 3 and 4, respectively. The following notation has been used. Suffix C: capacitive connectors; suffix R: resistive connectors; (I): computational inputs; and (O): computational outputs.
Two types of mass-flow connectors have been defined in JARA: one for liquid mixtures and the other for gaseous ones. A capacitive and a resistive connector class have been defined for each type.
Two types of heat-flow connectors have been defined in JARA, one for heat conduction, heat flow-M, and the other for heat convection, heat flow-F. A capacitive and a resistive connector class have been defined of each type.
The necessity of describing the information transmission arises when modeling automatic control loops. This is the purpose of the JARA's information transmission connectors. Two types of information transmission connectors are defined in JARA: emitter and receiver (see Table 3). Both types of causal connectors are only composed of across variables, whose number and meaning depends on the application.
The fourth type of connector in JARA, the volume constraint connector (see Table 4), models the constraints that the recipients impose on the CVs volume.

Causal connectors icons allow identifying easily the type of causal connector. The icon color represents the type of flow: liquid, gas or information. Capacitive connectors icons are filled and resistive connectors icons are bordered. The ''pointed'' shape denotes the existence of through variables (gas, liquid and heat flow connectors). The way of orienting the connector in the interface (inward or outward direction) depicts the sign criteria of the connector through variables.

1. A capacitive connector can be left unconnected or it can be connected to an arbitrary number of resistive connectors.
2. A resistive connector must be connected to one, and only to one, capacitive connector.

1. A capacitive connector of the molecular class must be connected to one, and only to one, submodel capacitive connector. It also can be connected to an arbitrary number (zero is allowed) of submodel resistive connectors.
2. A resistive connector of the molecular class must be connected to at least one submodel resistive connector. It cannot be connected to any submodel capacitive connector.

Package Content

Name	Description
cutEmitter	Information emitter.
cutGasC	Gas flow - Connector Capacitive.
cutGasR	Gas flow - Connector Resistive.
cutHeatFC	Heat flow - Connector F-C. Connector for the heat convection.
cutHeatFR	Heat flow - Connector F-R. Connector for the heat convection.
cutHeatMC	Heat flow - Connector M-C. Connector for the heat conduction.
cutHeatMR	Heat flow - Connector M-R. Connector for the heat conduction.
cutLiquidC	Liquid flow - Connector C. Connector for the liquid flow.
cutLiquidR	Liquid flow - Connector R. Connector for the liquid flow.
cutReceiver	Information receiver.
cutVolConstrGas	Volume constraint - Gas.
cutVolConstrLiq	Volume constraint - Liquid.
cutVolConstrVessel	Volume constraint - Vessel.

JARA2i.cutsB.cutEmitter

Information

Parameters

Type	Name	Default	Description
Integer	dim		Dimension of the Signals vector

Contents

Type	Name	Description
Integer	dim	Dimension of the Signals vector
Real	signal[dim]	Signals

Modelica definition

connector cutEmitter " Information emitter." 
  
   parameter Integer dim "Dimension of the Signals vector";
  
   Real signal[     dim] "Signals";
  
end cutEmitter;

JARA2i.cutsB.cutGasC

Information

Parameters

Type	Name	Default	Description
Integer	nComp	1	Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	molG[nComp]	Mol number of each component [mol]
Real	tempG	Temperature of the gas mixture [T]
Real	pressG	Gas pressure [M.L-1.t-2]
flow Real	molGF[nComp]	Molar flow of each component [mol.t-1]
flow Real	energyGF	Energy flow [M.L2.t3]

Modelica definition

connector cutGasC "Gas flow - Connector Capacitive." 
  
   parameter Integer nComp = 1 "Number of components";
  
   Real molG[ nComp](  unit="mol") "Mol number of each component";
   Real tempG(         unit="T") "Temperature of the gas mixture";
   Real pressG(        unit="M.L-1.t-2") "Gas pressure";
  
   flow Real molGF[ nComp](        unit="mol.t-1") 
    "Molar flow of each component";
   flow Real energyGF(             unit="M.L2.t3") "Energy flow";
  
  
end cutGasC;

JARA2i.cutsB.cutGasR

Information

Parameters

Type	Name	Default	Description
Integer	nComp	1	Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	molG[nComp]	Mol number of each component [mol]
Real	tempG	Temperature of the gas mixture [T]
Real	pressG	Gas pressure [M.L-1.t-2]
flow Real	molGF[nComp]	Molar flow of each component [mol.t-1]
flow Real	energyGF	Energy flow [M.L2.t3]

Modelica definition

connector cutGasR "Gas flow - Connector Resistive." 
  
   parameter Integer nComp = 1 "Number of components";
  
   Real molG[ nComp](  unit="mol") "Mol number of each component";
   Real tempG(         unit="T") "Temperature of the gas mixture";
   Real pressG(        unit="M.L-1.t-2") "Gas pressure";
  
   flow Real molGF[ nComp](        unit="mol.t-1") 
    "Molar flow of each component";
   flow Real energyGF(             unit="M.L2.t3") "Energy flow";
  
  
end cutGasR;

JARA2i.cutsB.cutHeatFC

Information

Parameters

Type	Name	Default	Description
Integer	nComp	1	Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	matterF[nComp]	Matter amount of each component [M or mol]
Real	tempF	Temperature [T]
flow Real	heatF	Heat flow [M.L2.t-3]

Modelica definition

connector cutHeatFC 
  "Heat flow - Connector F-C. Connector for the heat convection." 
  
   parameter Integer nComp= 1 "Number of components";
  
   Real matterF[ nComp](        unit="M or mol") 
    "Matter amount of each component";
   Real tempF(                  unit="T") "Temperature";
  
   flow Real heatF(             unit="M.L2.t-3") "Heat flow";
  
  
end cutHeatFC;

JARA2i.cutsB.cutHeatFR

Information

Parameters

Type	Name	Default	Description
Integer	nComp		Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	matterF[nComp]	Matter amount of each component [M or mol]
Real	tempF	Temperature [T]
flow Real	heatF	Heat flow [M.L2.t-3]

Modelica definition

connector cutHeatFR "Heat flow - Connector F-R.
 Connector for the heat convection." 
  
   parameter Integer nComp "Number of components";
  
   Real matterF[ nComp](        unit="M or mol") 
    "Matter amount of each component";
   Real tempF(                  unit="T") "Temperature";
  
   flow Real heatF(             unit="M.L2.t-3") "Heat flow";
  
  
end cutHeatFR;

JARA2i.cutsB.cutHeatMC

Information

Parameters

Type	Name	Default	Description
Integer	nComp		Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	matter[nComp]	Matter amount of each component [M or mol]
Real	temp	Temperature [T]
flow Real	heatF	Heat flow [M.L2.t-3]

Modelica definition

connector cutHeatMC " Heat flow - Connector M-C.
 Connector for the heat conduction." 
  
   parameter Integer nComp "Number of components";
  
   Real matter[ nComp](        unit="M or mol") 
    "Matter amount of each component";
   Real temp(                  unit="T") "Temperature";
  
   flow Real heatF(            unit="M.L2.t-3") "Heat flow";
  
  
end cutHeatMC;

JARA2i.cutsB.cutHeatMR

Information

Parameters

Type	Name	Default	Description
Integer	nComp		Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	matter[nComp]	Matter amount of each component [M or mol]
Real	temp	Temperature [T]
flow Real	heatF	Heat flow [M.L2.t-3]

Modelica definition

connector cutHeatMR " Heat flow - Connector M-R.
 Connector for the heat conduction." 
  
   parameter Integer nComp "Number of components";
  
   Real matter[ nComp](        unit="M or mol") 
    "Matter amount of each component";
   Real temp(                  unit="T") "Temperature";
  
   flow Real heatF(            unit="M.L2.t-3") "Heat flow";
  
  
end cutHeatMR;

JARA2i.cutsB.cutLiquidC

Information

Parameters

Type	Name	Default	Description
Integer	nComp		Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	massL[nComp]	Mass of each component [M]
Real	tempL	Temperature [T]
Real	pressL	Pressure [M.L-1.t-2]
flow Real	massLF[nComp]	Mass flow of each component [M.t-1]
flow Real	energyLF	Energy flow [M.L2.t-3]

Modelica definition

connector cutLiquidC " Liquid flow - Connector C.
 Connector for the liquid flow." 
  
   parameter Integer nComp "Number of components";
  
   Real massL[ nComp](  unit="M") "Mass of each component";
   Real tempL(          unit="T") "Temperature";
   Real pressL(         unit="M.L-1.t-2") "Pressure";
  
   flow Real massLF[ nComp](           unit="M.t-1") 
    "Mass flow of each component";
   flow Real energyLF(                 unit="M.L2.t-3") "Energy flow";
  
  
end cutLiquidC;

JARA2i.cutsB.cutLiquidR

Information

Parameters

Type	Name	Default	Description
Integer	nComp		Number of components

Contents

Type	Name	Description
Integer	nComp	Number of components
Real	massL[nComp]	Mass of each component [M]
Real	tempL	Temperature [T]
Real	pressL	Pressure [M.L-1.t-2]
flow Real	massLF[nComp]	Mass flow of each component [M.t-1]
flow Real	energyLF	Energy flow [M.L2.t-3]

Modelica definition

connector cutLiquidR " Liquid flow - Connector R.
 Connector for the liquid flow." 
  
   parameter Integer nComp "Number of components";
  
   Real massL[ nComp](  unit="M") "Mass of each component";
   Real tempL(          unit="T") "Temperature";
   Real pressL(         unit="M.L-1.t-2") "Pressure";
  
   flow Real massLF[ nComp](             unit="M.t-1") 
    "Mass flow of each component";
   flow Real energyLF(                   unit="M.L2.t-3") "Energy flow";
  
  
end cutLiquidR;

JARA2i.cutsB.cutReceiver

Information

Parameters

Type	Name	Default	Description
Integer	dim		Dimension of the Signals vector

Contents

Type	Name	Description
Integer	dim	Dimension of the Signals vector
Real	signal[dim]	Signals

Modelica definition

connector cutReceiver " Information receiver." 
  
   parameter Integer dim "Dimension of the Signals vector";
  
   Real signal[     dim] "Signals";
  
end cutReceiver;

JARA2i.cutsB.cutVolConstrGas

Information

Contents

Type	Name	Description
Real	vcE[3]	Recipient Volume
flow Real	vcF	Gas Volume

Modelica definition

connector cutVolConstrGas "Volume constraint - Gas." 
  
   Real vcE[3] "Recipient Volume";
   flow Real vcF "Gas Volume";
  
   // Real      dummyVol  (unit="L3")              "Dummy variable";
   // Real      dummyVol1 (unit="L3")              "Dummy variable";   //= dummyVol
   // Real      press     (unit="M.L-1.t-2")       "Pressure";
  
   // flow Real vesselV   (unit="L3")              "Vessel volume";
  
  
end cutVolConstrGas;

JARA2i.cutsB.cutVolConstrLiq

Information

Contents

Type	Name	Description
Real	vcE[3]	Recipient Volume
flow Real	vcF	Liquid Volume

Modelica definition

connector cutVolConstrLiq "Volume constraint - Liquid." 
  
   Real vcE[3] "Recipient Volume";
   flow Real vcF "Liquid Volume";
  
   // Real  vesselV       (unit="L3")              "Vessel volume";
   // Real  dummyVol      (unit="L3")              "Dummy variable";
   // Real  pressTopRef   (unit="M.L-1.t-2")       "Pressure";
  
   // flow  Real  fluidV  (unit="L3")              "Fluid volume";
  
  
end cutVolConstrLiq;

JARA2i.cutsB.cutVolConstrVessel

Information

Contents

Type	Name	Description
Real	vcE[3]	Recipient Volume
flow Real	vcF

Modelica definition

connector cutVolConstrVessel "Volume constraint - Vessel." 
  
   Real vcE[3] "Recipient Volume";
   flow Real vcF;
  
   // Real   vesselV    (unit="L3")          "Vessel volume"; 
   // Real   dummyVol   (unit="L3")          "Dummy variable";
   // Real   dummyPress (unit="M.L-1.t-2")   "Pressure";
   // flow Real dummyVolF  (unit="L3")       "Dummy variable";  // = -dummyVol
  
  
end cutVolConstrVessel;