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WasteWater.ASM3.Interfaces

Connectors and partial ASM3 model for Wastewater Treatment Modelling

Information

This package contains connectors and interfaces (partial models) for wastewater treatment
components based on the Acticated Sludge Model No.3 (ASM3).

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

Copyright (C) 2002 - 2003, 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.ASM3.Interfaces.ASM3base

Base class of WWTP modelling by ASM3

Information

This partial model provides connectors and equations that are needed in the biological 
components (nitrification and denitrification tank) for ASM3 wastewater treatment plant models.
Parameters are coded according the ASM3 [1] standard distribution.
Changes to this parameters are subject to the modeller.


References:

[1]  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.

Parameters

Name Default Description

f_Si 0.0 Production of Si in hydrolysis [g COD_Si/(g COD_Xs)]

Y_STO_O 0.85 Aerobic yield of stored product per Ss [g COD_Xsto/(g COD_Ss)]

Y_STO_NOX 0.80 Anoxic yield of stored product per Ss [g OD_Xsto/(g COD_Ss)]

Y_H_O 0.63 Aerobic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]

Y_H_NOX 0.54 Anoxic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]

Y_A 0.24 Yield of autotrophic biomass per NO3-N [g COD_Xa/(g N_Snox)]

f_Xi 0.20 Production of Xi in endog. respiration [g COD_Xi/(g COD_Xbm)]

i_N_Si 0.01 N content of Si [g N/(g COD_Si)]

i_N_Ss 0.03 N content of Ss [g N/(g COD_Ss)]

i_N_Xi 0.02 N content of Xi [g N/(g COD_Xi)]

i_N_Xs 0.04 N content of Xs [g N/(g COD_Xs)]

i_N_BM 0.07 N content of biomass Xh,Xa [g N/(g COD_bm)]

i_SS_Xi 0.75 SS to COD ratio for Xi [g SS/(g COD_Xi)]

i_SS_Xs 0.75 SS to COD ratio for Xs [g SS/(g COD_Xs)]

i_SS_BM 0.90 SS to COD ratio for biomass Xh,Xa [g SS/(g COD_Xbm)]

x1 1 - f_Si

x2 -(1 - Y_STO_O)

x3 -(1 - Y_STO_NOX)/2.86

x4 -(1 - Y_H_O)/Y_H_O

x5 -(1 - Y_H_NOX)/(2.86*Y_H_NOX)

x6 -(1 - f_Xi)

x7 -(1 - f_Xi)/2.86

x8 -1

x9 -1/2.86

x10 -(4.57 - Y_A)/Y_A

x11 -(1 - f_Xi)

x12 -(1 - f_Xi)/2.86

y1 i_N_Xs - i_N_Si*f_Si - i_N_Ss*(1 - f_Si)

y2 i_N_Ss

y3 i_N_Ss

y4 -i_N_BM

y6 i_N_BM - f_Xi*i_N_Xi

y7 i_N_BM - f_Xi*i_N_Xi

y10 -1/Y_A - i_N_BM

y11 i_N_BM - f_Xi*i_N_Xi

y12 i_N_BM - f_Xi*i_N_Xi

z1 (i_N_Xs - i_N_Si*f_Si - i_N_Ss*(1 - f_Si))/14

z2 i_N_Ss/14

z3 i_N_Ss/14 + (1 - Y_STO_NOX)/(14*2.86)

z4 -i_N_BM/14

z5 -i_N_BM/14 + (1 - Y_H_NOX)/(14*2.86*Y_H_NOX)

z6 i_N_BM/14 - f_Xi*i_N_Xi/14

z7 i_N_BM/14 - f_Xi*i_N_Xi/14 + (1 - f_Xi)/(14*2.86)

z9 1/(2.86*14)

z10 -1/(7*Y_A) - i_N_BM/14

z11 i_N_BM/14 - f_Xi*i_N_Xi/14

z12 i_N_BM/14 - f_Xi*i_N_Xi/14 + (1 - f_Xi)/(14*2.86)

t2 0.6*Y_STO_O

t3 0.6*Y_STO_NOX

t4 -0.6/Y_H_O + i_SS_BM

t5 -0.6/Y_H_NOX + i_SS_BM

t6 f_Xi*i_SS_Xi - i_SS_BM

t7 f_Xi*i_SS_Xi - i_SS_BM

t8 -0.6

t9 -0.6

t10 i_SS_BM

t11 f_Xi*i_SS_Xi - i_SS_BM

t12 f_Xi*i_SS_Xi - i_SS_BM

k_H_T 3.0 Hydrolysis rate constant at T=20 deg C [g COD_Xs/(g COD_Xh)/d]

K_X 1.0 Hydrolysis saturation constant [g COD_Xs/(g COD_Xh)/d]

k_STO_T 5.0 Storage rate constant at T=20 deg C [g COD_Ss/(g COD_Xh)/d]

eta_NOX 0.6 Anoxic reduction factor [-]

K_O 0.2 Saturation constant for Sno [g O2/m^3]

K_NOX 0.5 Saturation constant for Snox [g NO3-N/m^3]

K_S 2.0 Saturation constant for Substrate Ss [g COD_Ss/m^3]

K_STO 1.0 Saturation constant for Xsto [g COD_Xsto/(g COD_Xh)]

mu_H_T 2.0 Heterotrophic max. growth rate of Xh at T=20 deg C [1/d]

K_NH 0.01 Saturation constant for ammonium Snh [g N/m^3]

K_ALK 0.1 Saturation constant for alkalinity for Xh [mole HCO3 /m^3]

b_H_O_T 0.2 Aerobic endogenous respiration rate of Xh at T=20 deg C [1/d]

b_H_NOX_T 0.1 Anoxic endogenous respiration rate of Xh at T=20 deg C[1/d]

b_STO_O_T 0.2 Aerobic respiration rate for Xsto at T=20 deg C [1/d]

b_STO_NOX_T 0.1 Anoxic respiration rate for Xsto at T=20 deg C [1/d]

mu_A_T 1.0 Autotrophic max growth rate of Xa at T=20 deg C [1/d]

K_A_NH 1.0 Ammonium substrate saturation for Xa [g N/m^3]

K_A_O 0.5 Oxygen saturation for nitrifiers [g O2/m^3]

K_A_NOX 0.5 Saturation constant for Snox (similar to K_NOX) [g NO3-N/m^3]

K_A_ALK 0.5 Bicarbonate saturation for nitrifiers [mole HCO3/m^3]

b_A_O_T 0.15 Aerobic endogenous respiration rate of Xa at T=20 deg C [1/d]

b_A_NOX_T 0.5 Anoxic endogenous respiration rate of Xa at T=20 deg C [1/d]

Name	Default	Description
f_Si	0.0	Production of Si in hydrolysis [g COD_Si/(g COD_Xs)]
Y_STO_O	0.85	Aerobic yield of stored product per Ss [g COD_Xsto/(g COD_Ss)]
Y_STO_NOX	0.80	Anoxic yield of stored product per Ss [g OD_Xsto/(g COD_Ss)]
Y_H_O	0.63	Aerobic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]
Y_H_NOX	0.54	Anoxic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]
Y_A	0.24	Yield of autotrophic biomass per NO3-N [g COD_Xa/(g N_Snox)]
f_Xi	0.20	Production of Xi in endog. respiration [g COD_Xi/(g COD_Xbm)]
i_N_Si	0.01	N content of Si [g N/(g COD_Si)]
i_N_Ss	0.03	N content of Ss [g N/(g COD_Ss)]
i_N_Xi	0.02	N content of Xi [g N/(g COD_Xi)]
i_N_Xs	0.04	N content of Xs [g N/(g COD_Xs)]
i_N_BM	0.07	N content of biomass Xh,Xa [g N/(g COD_bm)]
i_SS_Xi	0.75	SS to COD ratio for Xi [g SS/(g COD_Xi)]
i_SS_Xs	0.75	SS to COD ratio for Xs [g SS/(g COD_Xs)]
i_SS_BM	0.90	SS to COD ratio for biomass Xh,Xa [g SS/(g COD_Xbm)]
x1	1 - f_Si
x2	-(1 - Y_STO_O)
x3	-(1 - Y_STO_NOX)/2.86
x4	-(1 - Y_H_O)/Y_H_O
x5	-(1 - Y_H_NOX)/(2.86*Y_H_NOX)
x6	-(1 - f_Xi)
x7	-(1 - f_Xi)/2.86
x8	-1
x9	-1/2.86
x10	-(4.57 - Y_A)/Y_A
x11	-(1 - f_Xi)
x12	-(1 - f_Xi)/2.86
y1	i_N_Xs - i_N_Sif_Si - i_N_Ss(1 - f_Si)
y2	i_N_Ss
y3	i_N_Ss
y4	-i_N_BM
y6	i_N_BM - f_Xi*i_N_Xi
y7	i_N_BM - f_Xi*i_N_Xi
y10	-1/Y_A - i_N_BM
y11	i_N_BM - f_Xi*i_N_Xi
y12	i_N_BM - f_Xi*i_N_Xi
z1	(i_N_Xs - i_N_Sif_Si - i_N_Ss(1 - f_Si))/14
z2	i_N_Ss/14
z3	i_N_Ss/14 + (1 - Y_STO_NOX)/(14*2.86)
z4	-i_N_BM/14
z5	-i_N_BM/14 + (1 - Y_H_NOX)/(142.86Y_H_NOX)
z6	i_N_BM/14 - f_Xi*i_N_Xi/14
z7	i_N_BM/14 - f_Xii_N_Xi/14 + (1 - f_Xi)/(142.86)
z9	1/(2.86*14)
z10	-1/(7*Y_A) - i_N_BM/14
z11	i_N_BM/14 - f_Xi*i_N_Xi/14
z12	i_N_BM/14 - f_Xii_N_Xi/14 + (1 - f_Xi)/(142.86)
t2	0.6*Y_STO_O
t3	0.6*Y_STO_NOX
t4	-0.6/Y_H_O + i_SS_BM
t5	-0.6/Y_H_NOX + i_SS_BM
t6	f_Xi*i_SS_Xi - i_SS_BM
t7	f_Xi*i_SS_Xi - i_SS_BM
t8	-0.6
t9	-0.6
t10	i_SS_BM
t11	f_Xi*i_SS_Xi - i_SS_BM
t12	f_Xi*i_SS_Xi - i_SS_BM
k_H_T	3.0	Hydrolysis rate constant at T=20 deg C [g COD_Xs/(g COD_Xh)/d]
K_X	1.0	Hydrolysis saturation constant [g COD_Xs/(g COD_Xh)/d]
k_STO_T	5.0	Storage rate constant at T=20 deg C [g COD_Ss/(g COD_Xh)/d]
eta_NOX	0.6	Anoxic reduction factor [-]
K_O	0.2	Saturation constant for Sno [g O2/m^3]
K_NOX	0.5	Saturation constant for Snox [g NO3-N/m^3]
K_S	2.0	Saturation constant for Substrate Ss [g COD_Ss/m^3]
K_STO	1.0	Saturation constant for Xsto [g COD_Xsto/(g COD_Xh)]
mu_H_T	2.0	Heterotrophic max. growth rate of Xh at T=20 deg C [1/d]
K_NH	0.01	Saturation constant for ammonium Snh [g N/m^3]
K_ALK	0.1	Saturation constant for alkalinity for Xh [mole HCO3 /m^3]
b_H_O_T	0.2	Aerobic endogenous respiration rate of Xh at T=20 deg C [1/d]
b_H_NOX_T	0.1	Anoxic endogenous respiration rate of Xh at T=20 deg C[1/d]
b_STO_O_T	0.2	Aerobic respiration rate for Xsto at T=20 deg C [1/d]
b_STO_NOX_T	0.1	Anoxic respiration rate for Xsto at T=20 deg C [1/d]
mu_A_T	1.0	Autotrophic max growth rate of Xa at T=20 deg C [1/d]
K_A_NH	1.0	Ammonium substrate saturation for Xa [g N/m^3]
K_A_O	0.5	Oxygen saturation for nitrifiers [g O2/m^3]
K_A_NOX	0.5	Saturation constant for Snox (similar to K_NOX) [g NO3-N/m^3]
K_A_ALK	0.5	Bicarbonate saturation for nitrifiers [mole HCO3/m^3]
b_A_O_T	0.15	Aerobic endogenous respiration rate of Xa at T=20 deg C [1/d]
b_A_NOX_T	0.5	Anoxic endogenous respiration rate of Xa at T=20 deg C [1/d]

Modelica definition

partial model ASM3base "Base class of WWTP modelling by ASM3" 
  
  package WWU = WasteWater.WasteWaterUnits;
  extends Interfaces.stoichiometry;
  
  // Stoichio. matrix coefficents x(So,Ss,Sn2,Snox),y(Snh),z(Salk),t(Xss)
  parameter Real x1=1 - f_Si;
  parameter Real x2=-(1 - Y_STO_O);
  parameter Real x3=-(1 - Y_STO_NOX)/2.86;
  parameter Real x4=-(1 - Y_H_O)/Y_H_O;
  parameter Real x5=-(1 - Y_H_NOX)/(2.86*Y_H_NOX);
  parameter Real x6=-(1 - f_Xi);
  parameter Real x7=-(1 - f_Xi)/2.86;
  parameter Real x8=-1;
  parameter Real x9=-1/2.86;
  parameter Real x10=-(4.57 - Y_A)/Y_A;
  parameter Real x11=-(1 - f_Xi);
  parameter Real x12=-(1 - f_Xi)/2.86;
  
  parameter Real y1=i_N_Xs - i_N_Si*f_Si - i_N_Ss*(1 - f_Si);
  parameter Real y2=i_N_Ss;
  parameter Real y3=i_N_Ss;
  parameter Real y4=-i_N_BM;
  parameter Real y6=i_N_BM - f_Xi*i_N_Xi;
  parameter Real y7=i_N_BM - f_Xi*i_N_Xi;
  parameter Real y10=-1/Y_A - i_N_BM;
  parameter Real y11=i_N_BM - f_Xi*i_N_Xi;
  parameter Real y12=i_N_BM - f_Xi*i_N_Xi;
  
  parameter Real z1=(i_N_Xs - i_N_Si*f_Si - i_N_Ss*(1 - f_Si))/14;
  parameter Real z2=i_N_Ss/14;
  parameter Real z3=i_N_Ss/14 + (1 - Y_STO_NOX)/(14*2.86);
  parameter Real z4=-i_N_BM/14;
  parameter Real z5=-i_N_BM/14 + (1 - Y_H_NOX)/(14*2.86*Y_H_NOX);
  parameter Real z6=i_N_BM/14 - f_Xi*i_N_Xi/14;
  parameter Real z7=i_N_BM/14 - f_Xi*i_N_Xi/14 + (1 - f_Xi)/(14*2.86);
  parameter Real z9=1/(2.86*14);
  parameter Real z10=-1/(7*Y_A) - i_N_BM/14;
  parameter Real z11=i_N_BM/14 - f_Xi*i_N_Xi/14;
  parameter Real z12=i_N_BM/14 - f_Xi*i_N_Xi/14 + (1 - f_Xi)/(14*2.86);
  
  parameter Real t2=0.6*Y_STO_O;
  parameter Real t3=0.6*Y_STO_NOX;
  parameter Real t4=-0.6/Y_H_O + i_SS_BM;
  parameter Real t5=-0.6/Y_H_NOX + i_SS_BM;
  parameter Real t6=f_Xi*i_SS_Xi - i_SS_BM;
  parameter Real t7=f_Xi*i_SS_Xi - i_SS_BM;
  parameter Real t8=-0.6;
  parameter Real t9=-0.6;
  parameter Real t10=i_SS_BM;
  parameter Real t11=f_Xi*i_SS_Xi - i_SS_BM;
  parameter Real t12=f_Xi*i_SS_Xi - i_SS_BM;
  
  // Typical values of kinetic parameters ( T = 20 deg C )
  parameter Real k_H_T=3.0 
    "Hydrolysis rate constant at T=20 deg C [g COD_Xs/(g COD_Xh)/d]";
  parameter Real K_X=1.0 
    "Hydrolysis saturation constant [g COD_Xs/(g COD_Xh)/d]";
  
  // Heterotrophic organisms Xh, aerobic and denitrifying activity    
  parameter Real k_STO_T=5.0 
    "Storage rate constant at T=20 deg C [g COD_Ss/(g COD_Xh)/d]";
  parameter Real eta_NOX=0.6 "Anoxic reduction factor [-]";
  parameter Real K_O=0.2 "Saturation constant for Sno [g O2/m^3]";
  parameter Real K_NOX=0.5 "Saturation constant for Snox [g NO3-N/m^3]";
  parameter Real K_S=2.0 "Saturation constant for Substrate Ss [g COD_Ss/m^3]";
  parameter Real K_STO=1.0 
    "Saturation constant for Xsto [g COD_Xsto/(g COD_Xh)]";
  parameter Real mu_H_T=2.0 
    "Heterotrophic max. growth rate of Xh at T=20 deg C [1/d]";
  parameter Real K_NH=0.01 "Saturation constant for ammonium Snh [g N/m^3]";
  parameter Real K_ALK=0.1 
    "Saturation constant for alkalinity for Xh [mole HCO3 /m^3]";
  parameter Real b_H_O_T=0.2 
    "Aerobic endogenous respiration rate of Xh at T=20 deg C [1/d]";
  parameter Real b_H_NOX_T=0.1 
    "Anoxic endogenous respiration rate of Xh at T=20 deg C[1/d]";
  parameter Real b_STO_O_T=0.2 
    "Aerobic respiration rate for Xsto at T=20 deg C [1/d]";
  parameter Real b_STO_NOX_T=0.1 
    "Anoxic respiration rate for Xsto at T=20 deg C [1/d]";
  
  // Autotrophic organisms Xa, nitrifying activity
  parameter Real mu_A_T=1.0 
    "Autotrophic max growth rate of Xa at T=20 deg C [1/d]";
  parameter Real K_A_NH=1.0 "Ammonium substrate saturation for Xa [g N/m^3]";
  parameter Real K_A_O=0.5 "Oxygen saturation for nitrifiers [g O2/m^3]";
  parameter Real K_A_NOX=0.5 
    "Saturation constant for Snox (similar to K_NOX) [g NO3-N/m^3]";
  parameter Real K_A_ALK=0.5 
    "Bicarbonate saturation for nitrifiers [mole HCO3/m^3]";
  parameter Real b_A_O_T=0.15 
    "Aerobic endogenous respiration rate of Xa at T=20 deg C [1/d]";
  parameter Real b_A_NOX_T=0.5 
    "Anoxic endogenous respiration rate of Xa at T=20 deg C [1/d]";
  
  Real k_H "Hydrolysis rate constant [g COD_Xs/(g COD_Xh)/d]";
  Real k_STO "Storage rate constant [g COD_Ss/(g COD_Xh)/d]";
  Real mu_H "Heterotrophic max. growth rate of Xh [1/d]";
  Real b_H_O "Aerobic endogenous respiration rate of Xh [1/d]";
  Real b_H_NOX "Aerobic endogenous respiration rate of Xh [1/d]";
  Real b_STO_O "Aerobic respiration rate for Xsto [1/d]";
  Real b_STO_NOX "Anoxic respiration rate for Xsto [1/d]";
  Real mu_A "Autotrophic max growth rate of Xa [1/d]";
  Real b_A_O "Aerobic endogenous respiration rate of Xa [1/d]";
  Real b_A_NOX "Anoxic endogenous respiration rate of Xa [1/d]";
  
  WWU.MassConcentration So "Dissolved oxygen";
  WWU.MassConcentration Si "Soluble inert organics";
  WWU.MassConcentration Ss "Readily biodegradable substrates";
  WWU.MassConcentration Snh "Ammonium";
  WWU.MassConcentration Sn2 "Dinitrogen, released by nitrification";
  WWU.MassConcentration Snox "Nitrite plus nitrate";
  WWU.Alkalinity Salk "Alkalinity, bicarbonate";
  WWU.MassConcentration Xi "Inert particulate organics";
  WWU.MassConcentration Xs "Slowly biodegradable substrates";
  WWU.MassConcentration Xh "Heterotrophic biomass";
  WWU.MassConcentration Xsto "Organics stored by heterotrphs";
  WWU.MassConcentration Xa "Autotrophic nitrifying biomass";
  WWU.MassConcentration Xss "Total suspend solids";
  
  Real p1;
  Real p2;
  Real p3;
  Real p4;
  Real p5;
  Real p6;
  Real p7;
  Real p8;
  Real p9;
  Real p10;
  Real p11;
  Real p12;
  
  Real r1;
  Real r2;
  Real r3;
  Real r4;
  Real r5;
  Real r6;
  Real r7;
  Real r8;
  Real r9;
  Real r10;
  Real r11;
  Real r12;
  Real r13;
  
  Real inputSo;
  Real inputSi;
  Real inputSs;
  Real inputSnh;
  Real inputSn2;
  Real inputSnox;
  Real inputSalk;
  Real inputXi;
  Real inputXs;
  Real inputXh;
  Real inputXsto;
  Real inputXa;
  Real inputXss;
  Real aeration;
  
  Interfaces.WWFlowAsm3in In;
  Interfaces.WWFlowAsm3out Out;
  Interfaces.WWFlowAsm3out MeasurePort;
  Modelica.Blocks.Interfaces.InPort T(final n=1);
equation 
  
  // Temperature dependent Kinetic parameters based on 20 deg C
  k_H = k_H_T*exp(0.040549*(T.signal[1] - 20));
  k_STO = k_STO_T*exp(0.069301*(T.signal[1] - 20));
  mu_H = mu_H_T*exp(0.069301*(T.signal[1] - 20));
  b_H_O = b_H_O_T*exp(0.069301*(T.signal[1] - 20));
  b_H_NOX = b_H_NOX_T*exp(0.069301*(T.signal[1] - 20));
  b_STO_O = b_STO_O_T*exp(0.069301*(T.signal[1] - 20));
  b_STO_NOX = b_STO_NOX_T*exp(0.069301*(T.signal[1] - 20));
  mu_A = mu_A_T*exp(0.104984*(T.signal[1] - 20));
  b_A_O = b_A_O_T*exp(0.109849*(T.signal[1] - 20));
  b_A_NOX = b_A_NOX_T*exp(0.091646*(T.signal[1] - 20));
  
  // Process Rates
  p1  = k_H*(Xs/Xh)/(K_X + (Xs/Xh))*Xh;
  p2  = k_STO*So/(K_O + So)*Ss/(K_S + Ss)*Xh;
  p3  = k_STO*eta_NOX*K_O/(K_O + So)*Snox/(K_NOX + Snox)*Ss/(K_S + Ss)*Xh;
  p4  = mu_H*So/(K_O + So)*Snh/(K_NH + Snh)*Salk/(K_ALK + Salk)*(Xsto/Xh)/(K_STO
       + (Xsto/Xh))*Xh;
  p5  = mu_H*eta_NOX*K_O/(K_O + So)*Snox/(K_NOX + Snox)*Snh/(K_NH + Snh)
       *Salk/(K_ALK + Salk)*(Xsto/Xh)/(K_STO + (Xsto/Xh))*Xh;
  p6  = b_H_O*So/(K_O + So)*Xh;
  p7  = b_H_NOX*K_O/(K_O + So)*Snox/(K_NOX + Snox)*Xh;
  p8  = b_STO_O*So/(K_O + So)*Xsto;
  p9  = b_STO_NOX*K_O/(K_O + So)*Snox/(Snox + K_NOX)*Xsto;
  p10 = mu_A*So/(K_A_O + So)*Snh/(K_A_NH + Snh)*Salk/(K_A_ALK + Salk)*Xa;
  p11 = b_A_O*So/(K_A_O + So)*Xa;
  p12 = b_A_NOX*K_A_O/(K_A_O + So)*Snox/(K_A_NOX + Snox)*Xa;
  
  // biochemical reactions
  r1  = x2*p2 + x4*p4 + x6*p6 + x8*p8 + x10*p10 + x11*p11;
  r2  = f_Si*p1;
  r3  = x1*p1 - p2 - p3;
  r4  = y1*p1 + y2*p2 + y3*p3 + y4*p4 + y4*p5 + y6*p6 + y7*p7 + y10*p10 
       + y11*p11 + y12*p12;
  r5  = -x3*p3 - x5*p5 - x7*p7 - x9*p9 - x12*p12;
  r6  = x3*p3 + x5*p5 + x7*p7 + x9*p9 + (1/Y_A)*p10 + x12*p12;
  r7  = z1*p1 + z2*p2 + z3*p3 + z4*p4 + z5*p5 + z6*p6 + z7*p7 + z9*p9 + z10*p10
       + z11*p11 + z12*p12;
  r8  = f_Xi*p6 + f_Xi*p7 + f_Xi*p11 + f_Xi*p12;
  r9  = -p1;
  r10 = p4 + p5 - p6 - p7;
  r11 = Y_STO_O*p2 + Y_STO_NOX*p3 - (1/Y_H_O)*p4 - (1/Y_H_NOX)*p5 - p8 - p9;
  r12 = p10 - p11 - p12;
  r13 = -i_SS_Xs*p1 + t2*p2 + t3*p3 + t4*p4 + t5*p5 + t6*p6 + t7*p7 + t8*p8 
        + t9*p9 + t10*p10 + t11*p11 + t12*p12;
  
  // derivatives
  der(So) = inputSo + r1 + aeration;
  der(Si) = inputSi + r2;
  der(Ss) = inputSs + r3;
  der(Snh) = inputSnh + r4;
  der(Sn2) = inputSn2 + r5;
  der(Snox) = inputSnox + r6;
  der(Salk) = inputSalk + r7;
  der(Xi) = inputXi + r8;
  der(Xs) = inputXs + r9;
  der(Xh) = inputXh + r10;
  der(Xsto) = inputXsto + r11;
  der(Xa) = inputXa + r12;
  der(Xss) = inputXss + r13;
  
  // Outputs
  Out.Q + In.Q = 0;
  Out.So = So;
  Out.Si = Si;
  Out.Ss = Ss;
  Out.Snh = Snh;
  Out.Sn2 = Sn2;
  Out.Snox = Snox;
  Out.Salk = Salk;
  Out.Xi = Xi;
  Out.Xs = Xs;
  Out.Xh = Xh;
  Out.Xsto = Xsto;
  Out.Xa = Xa;
  Out.Xss = Xss;
  
  MeasurePort.So = So;
  MeasurePort.Si = Si;
  MeasurePort.Ss = Ss;
  MeasurePort.Snh = Snh;
  MeasurePort.Sn2 = Sn2;
  MeasurePort.Snox = Snox;
  MeasurePort.Salk = Salk;
  MeasurePort.Xi = Xi;
  MeasurePort.Xs = Xs;
  MeasurePort.Xh = Xh;
  MeasurePort.Xsto = Xsto;
  MeasurePort.Xa = Xa;
  MeasurePort.Xss = Xss;
  
end ASM3base;

WasteWater.ASM3.Interfaces.WWFlowAsm3in

Inflow connector of ASM3 components

Information

Connectors WWFlowAsm3in and WWFlowAsm3out are nearly identical.
The difference is in the icons to more easily identify the inflow and outflow
side of a component.
The connector consists of one flow variable and 13 potential variables (ASM3 concentrations).

Modelica definition

connector WWFlowAsm3in "Inflow connector of ASM3 components" 
  package WWU = WasteWater.WasteWaterUnits;
  
  flow WWU.VolumeFlowRate Q;
  WWU.MassConcentration So;
  WWU.MassConcentration Si;
  WWU.MassConcentration Ss;
  WWU.MassConcentration Snh;
  WWU.MassConcentration Sn2;
  WWU.MassConcentration Snox;
  WWU.Alkalinity Salk;
  WWU.MassConcentration Xi;
  WWU.MassConcentration Xs;
  WWU.MassConcentration Xh;
  WWU.MassConcentration Xsto;
  WWU.MassConcentration Xa;
  WWU.MassConcentration Xss;
  
  
end WWFlowAsm3in;

WasteWater.ASM3.Interfaces.WWFlowAsm3out

Outflow connector of ASM3 components

Information

Connectors WWFlowAsm3in and WWFlowAsm3out are nearly identical.
The difference is in the icons to more easily identify the inflow and outflow
side of a component.
The connector consists of one flow variable and 13 potential variables (ASM3 concentrations).

Modelica definition

connector WWFlowAsm3out "Outflow connector of ASM3 components" 
  package WWU = WasteWater.WasteWaterUnits;
  
  flow WWU.VolumeFlowRate Q;
  WWU.MassConcentration So;
  WWU.MassConcentration Si;
  WWU.MassConcentration Ss;
  WWU.MassConcentration Snh;
  WWU.MassConcentration Sn2;
  WWU.MassConcentration Snox;
  WWU.Alkalinity Salk;
  WWU.MassConcentration Xi;
  WWU.MassConcentration Xs;
  WWU.MassConcentration Xh;
  WWU.MassConcentration Xsto;
  WWU.MassConcentration Xa;
  WWU.MassConcentration Xss;
  
  
end WWFlowAsm3out;

WasteWater.ASM3.Interfaces.AirFlow

Airflow connector

Information

The Airflow connector consits of a flow variable describing the exchange of
air between blower and nitrification tank.

Modelica definition

connector AirFlow "Airflow connector" 
  
  package WWU = WasteWater.WasteWaterUnits;
  flow WWU.VolumeFlowRate Q_air;
  
end AirFlow;

WasteWater.ASM3.Interfaces.stoichiometry

ASM3 stoichiometric coefficients

Information

This is a partial model providing the stoichiometric coefficients of the ASM3 model.

Parameters

Name	Default	Description
f_Si	0.0	Production of Si in hydrolysis [g COD_Si/(g COD_Xs)]
Y_STO_O	0.85	Aerobic yield of stored product per Ss [g COD_Xsto/(g COD_Ss)]
Y_STO_NOX	0.80	Anoxic yield of stored product per Ss [g OD_Xsto/(g COD_Ss)]
Y_H_O	0.63	Aerobic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]
Y_H_NOX	0.54	Anoxic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]
Y_A	0.24	Yield of autotrophic biomass per NO3-N [g COD_Xa/(g N_Snox)]
f_Xi	0.20	Production of Xi in endog. respiration [g COD_Xi/(g COD_Xbm)]
i_N_Si	0.01	N content of Si [g N/(g COD_Si)]
i_N_Ss	0.03	N content of Ss [g N/(g COD_Ss)]
i_N_Xi	0.02	N content of Xi [g N/(g COD_Xi)]
i_N_Xs	0.04	N content of Xs [g N/(g COD_Xs)]
i_N_BM	0.07	N content of biomass Xh,Xa [g N/(g COD_bm)]
i_SS_Xi	0.75	SS to COD ratio for Xi [g SS/(g COD_Xi)]
i_SS_Xs	0.75	SS to COD ratio for Xs [g SS/(g COD_Xs)]
i_SS_BM	0.90	SS to COD ratio for biomass Xh,Xa [g SS/(g COD_Xbm)]

Modelica definition

partial model stoichiometry "ASM3 stoichiometric coefficients" 
  // Typical stoichiometric and composition parameters based on ASM3
  
  parameter Real f_Si=0.0 
    "Production of Si in hydrolysis [g COD_Si/(g COD_Xs)]";
  parameter Real Y_STO_O=0.85 
    "Aerobic yield of stored product per Ss [g COD_Xsto/(g COD_Ss)]";
  parameter Real Y_STO_NOX=0.80 
    "Anoxic yield of stored product per Ss [g OD_Xsto/(g COD_Ss)]";
  parameter Real Y_H_O=0.63 
    "Aerobic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]";
  parameter Real Y_H_NOX=0.54 
    "Anoxic yield of heterotrophic biomass [g COD_Xh/(g COD_Xsto)]";
  parameter Real Y_A=0.24 
    "Yield of autotrophic biomass per NO3-N [g COD_Xa/(g N_Snox)]";
  parameter Real f_Xi=0.20 
    "Production of Xi in endog. respiration [g COD_Xi/(g COD_Xbm)]";
  parameter Real i_N_Si=0.01 "N content of Si [g N/(g COD_Si)]";
  parameter Real i_N_Ss=0.03 "N content of Ss [g N/(g COD_Ss)]";
  parameter Real i_N_Xi=0.02 "N content of Xi [g N/(g COD_Xi)]";
  parameter Real i_N_Xs=0.04 "N content of Xs [g N/(g COD_Xs)]";
  parameter Real i_N_BM=0.07 "N content of biomass Xh,Xa [g N/(g COD_bm)]";
  parameter Real i_SS_Xi=0.75 "SS to COD ratio for Xi [g SS/(g COD_Xi)]";
  parameter Real i_SS_Xs=0.75 "SS to COD ratio for Xs [g SS/(g COD_Xs)]";
  parameter Real i_SS_BM=0.90 
    "SS to COD ratio for biomass Xh,Xa [g SS/(g COD_Xbm)]";
  
  
end stoichiometry;

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