WasteWater.ASM1

Information

This library contains components to build models of biological municipal wastewater treatment plants based
on the Activated Sludge Model No.1 (ASM1) by the International Association on Water Quality (IAWQ) [1,2].


The library currently is structured in following sub-libraries:
 

  Interfaces

 - partial ASM1 models and connectors

  PreClar

 - primary clarifier models

  SecClar

 - several secondary settling tank models

  Examples

 - wastewater treatment plant models

 
Main Author:
 
          Gerald Reichl
          Technische Universitaet Ilmenau
          Faculty of Informatics and Automation
          Department Dynamics and Simulation of ecological Systems
          P.O. Box 10 05 65
          98684 Ilmenau
          Germany
          email: gerald.reichl@tu-ilmenau.de

 
References:

[1]  M. Henze and C.P.L. Grady Jr and W. Gujer and G.v.R. Marais and T. Matsuo:
       Activated Sludge Model No.1. IAWQ, 1987.

[2]  M. Henze and W.Gujer and T. Mino and. M.v. Loosdrecht: Activated Sludge
       Models ASM1, ASM2, ASM2d, and ASM3. IWA Task Group on Mathematical Modelling
       for Design and Operation of Biological Wastewater Treatment, 2000.
 
 
Copyright (C) 2000 - 2002, Gerald Reichl

The Modelica package is free software; it can be redistributed and/or modified under the terms of the Modelica license, see the license conditions and the accompanying disclaimer in the documentation of package Modelica in file "Modelica/package.mo".

WasteWater.ASM1.deni

Information

This component models the ASM1 processes and reactions taking place in an unaerated 
(denitrification) tank of a wastewater treatment plant.

The InPort signal gives the tank temperature to the model.

Parameters

All stoichiometric and kinetic parameters of the activated sludge model No.1 (ASM1).

Modelica definition

model deni "ASM1 denitrification tank" 
  //denitrification tank based on the ASM1 model
  
  extends WasteWater.Icons.deni;
  extends Interfaces.ASM1base;
  
  // tank specific parameters
  parameter Modelica.SIunits.Volume V=1000 "Volume of denitrification tank";
    
  // following 4 connectors are already in ASM1base and are inherited,
  // but listed hear again to avoid an icon related problem
  // with the sequence of extends-clauses
  Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out;
  Interfaces.WWFlowAsm1out MeasurePort;
  Modelica.Blocks.Interfaces.InPort T(final n=1);
equation 
  
  aeration = 0;
  // no aeration in this tank //
  
  // volume dependent dilution term of each concentration
  
  inputSi = (In.Si - Si)*In.Q/V;
  inputSs = (In.Ss - Ss)*In.Q/V;
  inputXi = (In.Xi - Xi)*In.Q/V;
  inputXs = (In.Xs - Xs)*In.Q/V;
  inputXbh = (In.Xbh - Xbh)*In.Q/V;
  inputXba = (In.Xba - Xba)*In.Q/V;
  inputXp = (In.Xp - Xp)*In.Q/V;
  inputSo = (In.So - So)*In.Q/V;
  inputSno = (In.Sno - Sno)*In.Q/V;
  inputSnh = (In.Snh - Snh)*In.Q/V;
  inputSnd = (In.Snd - Snd)*In.Q/V;
  inputXnd = (In.Xnd - Xnd)*In.Q/V;
  inputSalk = (In.Salk - Salk)*In.Q/V;
  
end deni;

WasteWater.ASM1.nitri

Information

This component models the ASM1 processes and reactions taking place in an aerated (nitrification)
tank of a wastewater treatment plant.

The InPort signal gives the tank temperature to the model.

Parameters

All soichiometric and kinetic parameters of the activated sludge model No.1 (ASM1).

Name	Default	Description
Y_h	0.67	Autotrophic yield [g Xba COD formed/(g N utilised)]
Y_a	0.24	Heterotrophic Yield [g Xbh COD formed/(g COD utilised)]
f_p	0.08	Fraction of biomass to particulate products [-]
i_xb	0.086	Fraction nitrogen in biomass [g N/(g COD)]
i_xp	0.06	Fraction nitrogen in particulate products [g N/(g COD)]
mu_h_T	4.0	Maximum heterotrophic growth rate at T=15 deg C [day^-1]
b_h_T	0.28	Heterotrophic decay rate at T=15 deg C [day^-1]
mu_a_T	0.5	Maximum autotrophic growth rate at T=15 deg C[day^-1]
b_a_T	0.1	Autotrophic decay rate at T=15 deg C [day^-1]
k_a_T	0.06	Ammonification rate at T=15 deg C [m3/(g COD day)]
k_h_T	1.75	Maximum specific hydrolysis rate at T=15 deg C [g Xs/(g Xbh COD day)]
K_x_T	0.0175	Half-saturation (hydrolysis) at T=15 deg C [g Xs/(g Xbh COD)]
K_nh	1.0	Half-saturation (auto. growth) [g NH-N/m3]
K_s	20.0	Half-saturation (hetero. growth) [g COD/m3]
K_oh	0.2	Half-saturation (hetero. oxygen) [g O/m3]
K_no	0.5	Half-saturation (nitrate) [g NO-N/m3]
K_oa	0.4	Half-saturation (auto. oxygen) [g O/m3]
ny_g	0.8	Anoxic growth rate correction factor [-]
ny_h	0.4	Anoxic hydrolysis rate correction factor [-]
V	1000	Volume of nitrification tank [m3]
alpha	0.7	Oxygen transfer factor
de	4.5	depth of aeration [m]
R_air	23.5	specific oxygen feed factor [gO2/(m^3*m)]

Modelica definition

model nitri "ASM1 nitrification tank" 
  // nitrification (aerated) tank, based on the ASM1 model
  
  extends WasteWater.Icons.nitri;
  extends Interfaces.ASM1base;
  
  // tank specific parameters
  parameter Modelica.SIunits.Volume V=1000 "Volume of nitrification tank";
  
  // aeration system dependent parameters
  parameter Real alpha=0.7 "Oxygen transfer factor";
  parameter Modelica.SIunits.Length de=4.5 "depth of aeration";
  parameter Real R_air=23.5 "specific oxygen feed factor [gO2/(m^3*m)]";
  WWU.MassConcentration So_sat "Dissolved oxygen saturation";
  
  
  // following 4 connectors are already in ASM1base and are inherited,
  // but listed hear again to avoid an icon related problem
  // with the sequence of extends-clauses
    Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out;
  Interfaces.WWFlowAsm1out MeasurePort;
  Modelica.Blocks.Interfaces.InPort T(final n=1);

  Interfaces.AirFlow AirIn;
equation 
  
  // Temperature dependent oxygen saturation by Simba
  So_sat = 13.89 + (-0.3825 + (0.007311 - 0.00006588*T.signal[1])*T.signal[1])*
    T.signal[1];
  
  // extends the Oxygen differential equation by an aeration term
  // aeration [mgO2/l]; AirIn.Q_air needs to be in 
  // Simulationtimeunit [m3*day^-1]
  aeration = (alpha*(So_sat - So)/So_sat*AirIn.Q_air*R_air*de)/V;
  // aeration = Kla * (So_sat - So);
  
  // volume dependent dilution term of each concentration
  
  inputSi = (In.Si - Si)*In.Q/V;
  inputSs = (In.Ss - Ss)*In.Q/V;
  inputXi = (In.Xi - Xi)*In.Q/V;
  inputXs = (In.Xs - Xs)*In.Q/V;
  inputXbh = (In.Xbh - Xbh)*In.Q/V;
  inputXba = (In.Xba - Xba)*In.Q/V;
  inputXp = (In.Xp - Xp)*In.Q/V;
  inputSo = (In.So - So)*In.Q/V;
  inputSno = (In.Sno - Sno)*In.Q/V;
  inputSnh = (In.Snh - Snh)*In.Q/V;
  inputSnd = (In.Snd - Snd)*In.Q/V;
  inputXnd = (In.Xnd - Xnd)*In.Q/V;
  inputSalk = (In.Salk - Salk)*In.Q/V;
  
end nitri;

WasteWater.ASM1.SecClarModTakacs

Information

This component models an ASM1 10 - layer secondary clarifier model with 4 layers above the feed_layer 
(including top_layer) and 5 layers below the feed_layer (including bottom_layer) based on Takacs` theory.

Parameters

Name	Default	Description
hsc	4.0	height of secondary clarifier [m]
n	10	number of layers of SC model
zm	hsc/(1.0*n)	height of m-th secondary clarifier layer [m]
Asc	1500.0	area of secondary clarifier [m2]
Xt	3000.0	threshold for X [mg/l]

Modelica definition

model SecClarModTakacs 
  "Secondary Clarifier ASM1 Model based on Takacs" 
  
  extends WasteWater.Icons.SecClar;
  extends ASM1.SecClar.Takacs.Interfaces.ratios;
  package SCP = ASM1.SecClar.Takacs;
  package SI = Modelica.SIunits;
  package WI = WasteWater.ASM1.Interfaces;
  package WWU = WasteWater.WasteWaterUnits;
  parameter SI.Length hsc=4.0 "height of secondary clarifier";
  parameter Integer n=10 "number of layers of SC model";
  parameter SI.Length zm=hsc/(1.0*n) "height of m-th secondary clarifier layer";
  parameter SI.Area Asc=1500.0 "area of secondary clarifier";
  parameter WWU.MassConcentration Xt=3000.0 "threshold for X";
  
  // total sludge concentration in clarifier feed
  WWU.MassConcentration Xf;
  
  WI.WWFlowAsm1in Feed;
  WI.WWFlowAsm1out Effluent;
  WI.WWFlowAsm1out Return;
  WI.WWFlowAsm1out Waste;
  
  // layers 1 to 10
  SCP.bottom_layer S1(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf, 
    rXs=rXs, 
    rXbh=rXbh, 
    rXba=rXba, 
    rXp=rXp, 
    rXi=rXi, 
    rXnd=rXnd);
  SCP.lower_layer S2(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf);
  SCP.lower_layer S3(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf);
  SCP.lower_layer S4(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf);
  SCP.lower_layer S5(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf);
  SCP.feed_layer S6(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf);
  SCP.upper_layer S7(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf, 
    Xt=Xt);
  SCP.upper_layer S8(
    zm=zm, 
    Asc=Asc, 
    Xt=Xt, 
    Xf=Xf);
  SCP.upper_layer S9(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf, 
    Xt=Xt);
  SCP.top_layer S10(
    zm=zm, 
    Asc=Asc, 
    Xf=Xf, 
    Xt=Xt, 
    rXs=rXs, 
    rXbh=rXbh, 
    rXba=rXba, 
    rXp=rXp, 
    rXi=rXi, 
    rXnd=rXnd);
equation 
  
  connect(S1.Up, S2.Dn);
  connect(S2.Up, S3.Dn);
  connect(S3.Up, S4.Dn);
  connect(S5.Up, S6.Dn);
  connect(S6.Up, S7.Dn);
  connect(S7.Up, S8.Dn);
  connect(S9.Up, S10.Dn);
  connect(S4.Up, S5.Dn);
  connect(S8.Up, S9.Dn);
  connect(Feed, S6.In);
  connect(S1.PQw, Waste);
  connect(S10.Out, Effluent);
  connect(S1.PQr, Return);
  
  // total sludge concentration in clarifier feed
  Xf = 0.75*(Feed.Xs + Feed.Xbh + Feed.Xba + Feed.Xp + Feed.Xi);
  
  // ratios of solid components
  rXs = Feed.Xs/Xf;
  rXbh = Feed.Xbh/Xf;
  rXba = Feed.Xba/Xf;
  rXp = Feed.Xp/Xf;
  rXi = Feed.Xi/Xf;
  rXnd = Feed.Xnd/Xf;
  
end SecClarModTakacs;

WasteWater.ASM1.blower

Information

This component models a blower of a wastewater treatment plant which generates an airflow that is needed
for the nitrification.

The blower is connected to the nitrification tank.

The airflow is controlled by a signal u (-1 <= u <= 1).

Parameters

Name	Default	Description
Q_max	20000	maximum blower capacity [m3 Air/d], this is produced when the control signal u is 1 or greater
Q_min	0.0	minimum blower capacity [m3 Air/d], this is produced when the control signal u is -1 or below

Modelica definition

model blower "Blower for the aeration of the nitrification tanks" 
  
  extends WasteWater.Icons.blower;
  package WWU = WasteWater.WasteWaterUnits;
  
  parameter WWU.VolumeFlowRate Q_max=20000 "maximum blower capacity";
  parameter WWU.VolumeFlowRate Q_min=0.0 "minimum blower capacity";
  Real H;
  // this is just a help variable to reduce expressions
  
  Interfaces.AirFlow AirOut;
  Modelica.Blocks.Interfaces.InPort u(final n=1);
equation 
  
  H = 0.5*(-Q_min + Q_max) + u.signal[1]*0.5*(-Q_min + Q_max) + Q_min;
  AirOut.Q_air = -(if H > Q_max then Q_max else if H < Q_min then Q_min else H)
    ;
  
end blower;

WasteWater.ASM1.pump

Information

This component models an ASM1 wastewater pump. It generates a wastewater flow
that is controlled by the signal u (-1 <= u <=1).

Parameters

Name	Default	Description
Q_min	0.0	maximum pump capacity [m3/d], this is produced when the control signal u is 1 or greater
Q_max	20000	minimum pump capacity [m3/d], this is produced when the control signal u is -1 or below

Modelica definition

model pump "ASM1 wastewater pump" 
  
  extends WasteWater.Icons.pump;
  package WWU = WasteWater.WasteWaterUnits;
  
  parameter WWU.VolumeFlowRate Q_min=0.0 "minimum pump capacity";
  parameter WWU.VolumeFlowRate Q_max=20000 "maximum pump capacity";
  Real H;
  // this is just a help variable to reduce expressions
  
  Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out;
  Modelica.Blocks.Interfaces.InPort u(final n=1);
equation 
  
  H = 0.5*(-Q_min + Q_max) + u.signal[1]*0.5*(-Q_min + Q_max) + Q_min;
  Out.Q = -(if H > Q_max then Q_max else if H < Q_min then Q_min else H);
  
  Out.Q + In.Q = 0;
  Out.Si = In.Si;
  Out.Ss = In.Ss;
  Out.Xi = In.Xi;
  Out.Xs = In.Xs;
  Out.Xbh = In.Xbh;
  Out.Xba = In.Xba;
  Out.Xp = In.Xp;
  Out.So = In.So;
  Out.Sno = In.Sno;
  Out.Snh = In.Snh;
  Out.Snd = In.Snd;
  Out.Xnd = In.Xnd;
  Out.Salk = In.Salk;
  
end pump;

WasteWater.ASM1.FlowSource

Information

This component is used to feed an ASM1 wwtp model with flow data from measurement
when e.g. concentration is measured after the primary clarifier.

The dimension of InPort is 1.

  1 volumeflowrate Q of incoming wastewater [m3/d]

Modelica definition

model FlowSource "Flow source" 
  
  extends WasteWater.Icons.FlowSource;
  Interfaces.WWFlowAsm1out Out;
  Modelica.Blocks.Interfaces.InPort data(final n=1);
equation 
  
  Out.Q = -data.signal[1];
  
end FlowSource;

WasteWater.ASM1.WWSource

Information

This component provides all ASM1 data at the influent of a wastewater treatment plant.
The dimension of InPort is 14.

  1  volumeflowrate Q of incoming wastewater [m3/d]
  2  Si  [g COD/m3]
  3  Ss  [g COD/m3]
  4  Xi  [g COD/m3]
  5  Xs  [g COD/m3]
  6  Xbh [g COD/m3]
  7  Xba [g COD/m3]
  8  Xp  [g COD/m3]
  9  So  [g O2/m3]
 10 Sno [g N/m3]
 11 Snh [g N/m3]
 12 Snd [g N/m3]
 13 Xnd [g N/m3]
 14 Salk[mmol/l]

Modelica definition

model WWSource "Wastewater source" 
  
  extends WasteWater.Icons.WWSource;
  Interfaces.WWFlowAsm1out Out;
  Modelica.Blocks.Interfaces.InPort data(final n=14);
equation 
  
  Out.Q = -data.signal[1];
  Out.Si = data.signal[2];
  Out.Ss = data.signal[3];
  Out.Xi = data.signal[4];
  Out.Xs = data.signal[5];
  Out.Xbh = data.signal[6];
  Out.Xba = data.signal[7];
  Out.Xp = data.signal[8];
  Out.So = data.signal[9];
  Out.Sno = data.signal[10];
  Out.Snh = data.signal[11];
  Out.Snd = data.signal[12];
  Out.Xnd = data.signal[13];
  Out.Salk = data.signal[14];
  
end WWSource;

WasteWater.ASM1.EffluentSink

Information

This component terminates an ASM1 wastewater treatment plant model e.g. the wastewater
flow to the receiving water.

Modelica definition

model EffluentSink "Receiving water (river)" 
  // only for graphical termination in diagram layer, no equation needed
  
  extends WasteWater.Icons.EffluentSink;
  Interfaces.WWFlowAsm1in In;
equation 
  
end EffluentSink;

WasteWater.ASM1.SludgeSink

Information

This component terminates the waste sludge stream of an ASM1 wastewater 
treatment plant model. 

Storage or further sludge treatment is not jet considered.

Modelica definition

model SludgeSink "Wastesludge sink" 
  // only for graphical termination in diagram layer, no equation needed
  
  extends WasteWater.Icons.SludgeSink;
  Interfaces.WWFlowAsm1in In;
equation 
  
end SludgeSink;

WasteWater.ASM1.ControlledDivider2

Information

This component divides one wastewater flow (ASM1) into two flows which are controlled by 
the signal u (0...1). Is u.signal=1, the flow goes to output 1 (Out1) and is u.signal=0, the flow goes
to output 2 (Out2). The concentrations of the outport-flows are equal to the concentration at inport.

Modelica definition

model ControlledDivider2 "Controlled flow divider" 
  // divides one flow of wastewater into 2 Flows controlled by the  
  // input signal u; u=1 means Out1.Q=In.Q and u=0 means Out2.Q=In.Q
  
  extends WasteWater.Icons.ControlledDivider2;
  Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out1;
  Interfaces.WWFlowAsm1out Out2;
  Modelica.Blocks.Interfaces.InPort u(final n=1);
equation 
  
  Out1.Q = -In.Q*u.signal[1];
  Out2.Q = -In.Q*(1 - u.signal[1]);
  
  Out1.Si = In.Si;
  Out1.Ss = In.Ss;
  Out1.Xi = In.Xi;
  Out1.Xs = In.Xs;
  Out1.Xbh = In.Xbh;
  Out1.Xba = In.Xba;
  Out1.Xp = In.Xp;
  Out1.So = In.So;
  Out1.Sno = In.Sno;
  Out1.Snh = In.Snh;
  Out1.Snd = In.Snd;
  Out1.Xnd = In.Xnd;
  Out1.Salk = In.Salk;
  
  Out2.Si = In.Si;
  Out2.Ss = In.Ss;
  Out2.Xi = In.Xi;
  Out2.Xs = In.Xs;
  Out2.Xbh = In.Xbh;
  Out2.Xba = In.Xba;
  Out2.Xp = In.Xp;
  Out2.So = In.So;
  Out2.Sno = In.Sno;
  Out2.Snh = In.Snh;
  Out2.Snd = In.Snd;
  Out2.Xnd = In.Xnd;
  Out2.Salk = In.Salk;
  
end ControlledDivider2;

WasteWater.ASM1.divider2

Information

This component divides one ASM1 wastewater flow into two ASM1 wastewater flows.

Modelica definition

model divider2 "Flowdivider"  
    // divides one flow of wastewater into 2 Flows; one amount needs to be specified
  
  extends WasteWater.Icons.divider2;
  Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out1;
  Interfaces.WWFlowAsm1out Out2;
equation 
  
  In.Q + Out1.Q + Out2.Q = 0;
  
  Out1.Si = In.Si;
  Out1.Ss = In.Ss;
  Out1.Xi = In.Xi;
  Out1.Xs = In.Xs;
  Out1.Xbh = In.Xbh;
  Out1.Xba = In.Xba;
  Out1.Xp = In.Xp;
  Out1.So = In.So;
  Out1.Sno = In.Sno;
  Out1.Snh = In.Snh;
  Out1.Snd = In.Snd;
  Out1.Xnd = In.Xnd;
  Out1.Salk = In.Salk;
  
  Out2.Si = In.Si;
  Out2.Ss = In.Ss;
  Out2.Xi = In.Xi;
  Out2.Xs = In.Xs;
  Out2.Xbh = In.Xbh;
  Out2.Xba = In.Xba;
  Out2.Xp = In.Xp;
  Out2.So = In.So;
  Out2.Sno = In.Sno;
  Out2.Snh = In.Snh;
  Out2.Snd = In.Snd;
  Out2.Xnd = In.Xnd;
  Out2.Salk = In.Salk;
  
end divider2;

WasteWater.ASM1.mixer2

Information

This component mixes two flows of wastewater (ASM1) of different concentration and different amount.

Modelica definition

model mixer2 "Mixer of two ASM1 characterised flows" 
  
  extends WasteWater.Icons.mixer2;
  Interfaces.WWFlowAsm1in In1;
  Interfaces.WWFlowAsm1in In2;
  Interfaces.WWFlowAsm1out Out;
equation 
  
  In1.Q + In2.Q + Out.Q = 0;
  Out.Si = (In1.Si*In1.Q + In2.Si*In2.Q)/(In1.Q + In2.Q);
  Out.Ss = (In1.Ss*In1.Q + In2.Ss*In2.Q)/(In1.Q + In2.Q);
  Out.Xi = (In1.Xi*In1.Q + In2.Xi*In2.Q)/(In1.Q + In2.Q);
  Out.Xs = (In1.Xs*In1.Q + In2.Xs*In2.Q)/(In1.Q + In2.Q);
  Out.Xbh = (In1.Xbh*In1.Q + In2.Xbh*In2.Q)/(In1.Q + In2.Q);
  Out.Xba = (In1.Xba*In1.Q + In2.Xba*In2.Q)/(In1.Q + In2.Q);
  Out.Xp = (In1.Xp*In1.Q + In2.Xp*In2.Q)/(In1.Q + In2.Q);
  Out.So = (In1.So*In1.Q + In2.So*In2.Q)/(In1.Q + In2.Q);
  Out.Sno = (In1.Sno*In1.Q + In2.Sno*In2.Q)/(In1.Q + In2.Q);
  Out.Snh = (In1.Snh*In1.Q + In2.Snh*In2.Q)/(In1.Q + In2.Q);
  Out.Snd = (In1.Snd*In1.Q + In2.Snd*In2.Q)/(In1.Q + In2.Q);
  Out.Xnd = (In1.Xnd*In1.Q + In2.Xnd*In2.Q)/(In1.Q + In2.Q);
  Out.Salk = (In1.Salk*In1.Q + In2.Salk*In2.Q)/(In1.Q + In2.Q);
  
end mixer2;

WasteWater.ASM1.mixer3

Information

This component mixes 3 flows of wastewater (ASM1) of different concentration and different amount.

Modelica definition

model mixer3 "Mixer of 3 ASM1 characterised flows" 
  
  extends WasteWater.Icons.mixer3;
  Interfaces.WWFlowAsm1in In1;
  Interfaces.WWFlowAsm1in In2;
  Interfaces.WWFlowAsm1in In3;
  Interfaces.WWFlowAsm1out Out;
equation 
  
  In1.Q + In2.Q + In3.Q + Out.Q = 0;
  Out.Si = (In1.Si*In1.Q + In2.Si*In2.Q + In3.Si*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Ss = (In1.Ss*In1.Q + In2.Ss*In2.Q + In3.Ss*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xi = (In1.Xi*In1.Q + In2.Xi*In2.Q + In3.Xi*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xs = (In1.Xs*In1.Q + In2.Xs*In2.Q + In3.Xs*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xbh = (In1.Xbh*In1.Q + In2.Xbh*In2.Q + In3.Xbh*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xba = (In1.Xba*In1.Q + In2.Xba*In2.Q + In3.Xba*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xp = (In1.Xp*In1.Q + In2.Xp*In2.Q + In3.Xp*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.So = (In1.So*In1.Q + In2.So*In2.Q + In3.So*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Sno = (In1.Sno*In1.Q + In2.Sno*In2.Q + In3.Sno*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Snh = (In1.Snh*In1.Q + In2.Snh*In2.Q + In3.Snh*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Snd = (In1.Snd*In1.Q + In2.Snd*In2.Q + In3.Snd*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Xnd = (In1.Xnd*In1.Q + In2.Xnd*In2.Q + In3.Xnd*In3.Q)/(In1.Q + In2.Q + In3.Q);
  Out.Salk = (In1.Salk*In1.Q + In2.Salk*In2.Q + In3.Salk*In3.Q)/(In1.Q + In2.Q
     + In3.Q);
  
end mixer3;

WasteWater.ASM1.sensor_COD

Information

This component measures the chemical oxygen demand (COD) concentration [g/m3]
of ASM1 wastewater and provides the result as output signal (to be
further processed with blocks of the Modelica.Blocks library).

Modelica definition

model sensor_COD 
  "Ideal sensor to measure chemical oxygen demand (COD)" 
  
  extends WasteWater.Icons.sensor_COD;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort COD(final n=1);
equation 
  
  In.Q = 0.0;
  COD.signal[1] = In.Si + In.Ss + In.Xi + In.Xs + In.Xbh + In.Xba + In.Xp;
  
end sensor_COD;

WasteWater.ASM1.sensor_NH

Information

This component measures the ammonium nitrogen concentration [g/m3]
of ASM1 wastewater and provides the result as output signal (to be
further processed with blocks of the Modelica.Blocks library).

Modelica definition

model sensor_NH "Ideal sensor to measure ammonium nitrogen" 
  
  extends WasteWater.Icons.sensor_NH;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort Snh(final n=1);
equation 
  
  In.Q = 0;
  Snh.signal[1] = In.Snh;
  
end sensor_NH;

WasteWater.ASM1.sensor_NO

Information

This component measures the nitrate nitrogen concentration [g/m3]
of ASM1 wastewater and provides the result as output signal (to be
further processed with blocks of the Modelica.Blocks library).

Modelica definition

model sensor_NO "Ideal sensor to measure nitrate nitrogen" 
  
  extends WasteWater.Icons.sensor_NO;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort Sno(final n=1);
equation 
  
  In.Q = 0;
  Sno.signal[1] = In.Sno;
  
end sensor_NO;

WasteWater.ASM1.sensor_O2

Information

This component measures the dissolved oxygen concentration [g/m3]
of ASM1 wastewater and provides the result as output signal (to be
further processed with blocks of the Modelica.Blocks library).

Modelica definition

model sensor_O2 
  "Ideal sensor to measure dissolved oxygen concentration" 
  
  extends WasteWater.Icons.sensor_O2;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort So(final n=1);
equation 
  
  In.Q = 0;
  So.signal[1] = In.So;
  
end sensor_O2;

WasteWater.ASM1.sensor_Q

Information

This component measures the flow of an ASM1 wastewater stream and provides
the result as output signal (to be further processed with blocks of
the Modelica.Blocks library).

Modelica definition

model sensor_Q 
  "Ideal sensor to measure the flow rate of an ASM1 wastewater stream"
   
  
  extends WasteWater.Icons.sensor_Q;
  Interfaces.WWFlowAsm1in In;
  Interfaces.WWFlowAsm1out Out;
  Modelica.Blocks.Interfaces.OutPort Q(final n=1);
equation 
  
  In.Q + Out.Q = 0;
  Q.signal[1] = In.Q;
  // eventually abs(In.Q) to be sure to have pos. signal

  In.Si = Out.Si;
  In.Ss = Out.Ss;
  In.Xi = Out.Xi;
  In.Xs = Out.Xs;
  In.Xbh = Out.Xbh;
  In.Xba = Out.Xba;
  In.Xp = Out.Xp;
  In.So = Out.So;
  In.Sno = Out.Sno;
  In.Snh = Out.Snh;
  In.Snd = Out.Snd;
  In.Xnd = Out.Xnd;
  In.Salk = Out.Salk;
  
end sensor_Q;

WasteWater.ASM1.sensor_TKN

Information

This component measures the Total Kjeldal Nitrogen (TKN) and the total nitrogen (N_total)
concentration [g/m3] of ASM1 wastewater and provides the result as output signal
(to be further processed with blocks of the Modelica.Blocks library).

   signal[1] - TKN
   signal[2] - N_total

Parameters

Name	Default	Description
Y_h	0.67	Autotrophic yield [g Xba COD formed/(g N utilised)]
Y_a	0.24	Heterotrophic Yield [g Xbh COD formed/(g COD utilised)]
f_p	0.08	Fraction of biomass to particulate products [-]
i_xb	0.086	Fraction nitrogen in biomass [g N/(g COD)]
i_xp	0.06	Fraction nitrogen in particulate products [g N/(g COD)]

Modelica definition

model sensor_TKN "Ideal TKN and total nitrogen sensor" 
  
  extends WasteWater.Icons.sensor_TKN;
  extends Interfaces.stoichiometry;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort TKN(final n=2);
equation 
  
  In.Q = 0.0;
  TKN.signal[1] = In.Snh + In.Snd + In.Xnd + i_xb*(In.Xbh + In.Xba)
       + i_xp*(In.Xp + In.Xi);
  TKN.signal[2] = TKN.signal[1] + In.Sno;
  
end sensor_TKN;

WasteWater.ASM1.sensor_TSS

Information

This component measures the total suspended solids concentration [g/m3] of ASM1 wastewater
and provides the result as output signal (to be further processed with blocks of the Modelica.Blocks library).

Modelica definition

model sensor_TSS 
  "Ideal sensor to measure total suspended solids concentration (ASM1)"
   
  
  extends WasteWater.Icons.sensor_TSS;
  Interfaces.WWFlowAsm1in In;
  Modelica.Blocks.Interfaces.OutPort TSS(final n=1);
equation 
  
  In.Q = 0;
  
  TSS.signal[1] = 0.75*(In.Xs + In.Xbh + In.Xba + In.Xp + In.Xi);
  // the factor 0.75 needs to be adapted due to plant dependency
  // 0.75 is from the COST Benchmark configuration
  
end sensor_TSS;