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electroNP_ZO.rst

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ElectroNP (ZO)

This electrochemical nutrient removal (ElectroNP) unit model
  • is a zero-order model that enables the user to specify performance in terms of solute rejection
  • supports a single liquid phase only
  • supports steady-state only
  • assumes isothermal conditions
.. index::
   pair: watertap.unit_models.electroNP_ZO;electroNP_ZO


.. currentmodule:: watertap.unit_models.electroNP_ZO

Degrees of Freedom

The zero-order electroNP model has at least 6 degrees of freedom that should be fixed for the unit to be fully specified. Typically, the following variables are fixed:

  • inlet volumetric flow rate
  • inlet temperature
  • inlet pressure
  • electricity intensity
  • dosage of magnesium chloride per phosphorus removal

There is 1 degree of freedom for each solute in a given property model:

  • inlet solute concentration

Model Structure

This electroNP model is built based on the IDAES Separator module. It consists of one inlet port and two outlet ports as treated and byproducts. The SplittingType is set to componentFlow.

Sets

Description Symbol Indices
Time t [0]
Phases p ['Liq']
Components j ['H2O', 'Solute']*

*Solute depends on the imported property model, and more than one solute can be provided.

Variables

Description Symbol Variable Name Index Units
Mass recovery fraction of water R_{H2O} recovery_frac_mass_H2O [t] \text{dimensionless}
Removal fraction of component r_j removal_frac_mass_comp [t, 'byproduct', j] \text{dimensionless}
Electricity consumption E electricity [t] \text{kW}
Electricity intensity with respect to phosphorus removal EI energy_electric_flow_mass None \text{kWh/kg}
Dosage of magnesium chloride per phosphorus removal D_{MgCl2} magnesium_chloride_dosage None \text{dimensionless}
Magnesium chloride flowrate Q_{MgCl2} magnesium_chloride_dosage [t] \text{kg/hr}

The electroNP model also has two mutable parameters:

Description Symbol Variable Name Index Units
Phosphorus removal fraction r_P P_removal None \text{dimensionless}
Nitrogen removal fraction r_N N_removal None \text{dimensionless}

NOTE: Removal fractions for other components are fixed to 0

Equations

Description Equation
Water removal r_{H2O} = 1 - R_{H2O}
Phosphorus removal r_{S_{PO4}} = r_P
Nitrogen removal r_{S_{NH4}} = r_N
Energy consumption E = EI Q_{byproduct, S_{PO4}}
MgCl2 demand Q_{MgCl2} = D_{MgCl2} Q_{byproduct, S_{PO4}}

Class Documentation