###############################################################################
# WaterTAP Copyright (c) 2021, The Regents of the University of California,
# through Lawrence Berkeley National Laboratory, Oak Ridge National
# Laboratory, National Renewable Energy Laboratory, and National Energy
# Technology Laboratory (subject to receipt of any required approvals from
# the U.S. Dept. of Energy). All rights reserved.
#
# Please see the files COPYRIGHT.md and LICENSE.md for full copyright and license
# information, respectively. These files are also available online at the URL
# "https://github.com/watertap-org/watertap/"
#
###############################################################################
# Import Pyomo libraries
from pyomo.environ import (Block,
Set,
Var,
Param,
Suffix,
NonNegativeReals,
Reference,
units as pyunits)
from pyomo.common.config import ConfigBlock, ConfigValue, In
# Import IDAES cores
from idaes.core import (ControlVolume0DBlock,
declare_process_block_class,
MaterialBalanceType,
EnergyBalanceType,
MomentumBalanceType,
UnitModelBlockData,
useDefault,
MaterialFlowBasis)
from idaes.core.util import get_solver
from idaes.core.util.tables import create_stream_table_dataframe
from idaes.core.util.config import is_physical_parameter_block
from idaes.core.util.exceptions import ConfigurationError
import idaes.core.util.scaling as iscale
import idaes.logger as idaeslog
_log = idaeslog.getLogger(__name__)
[docs]@declare_process_block_class("NanofiltrationZO")
class NanofiltrationData(UnitModelBlockData):
"""
Zero order nanofiltration model based on specified water flux and ion rejection.
Default data from Table 9 in Labban et al. (2017) https://doi.org/10.1016/j.memsci.2016.08.062
"""
CONFIG = ConfigBlock()
CONFIG.declare("dynamic", ConfigValue(
domain=In([False]),
default=False,
description="Dynamic model flag - must be False",
doc="""Indicates whether this model will be dynamic or not,
**default** = False. NF units do not support dynamic
behavior."""))
CONFIG.declare("has_holdup", ConfigValue(
default=False,
domain=In([False]),
description="Holdup construction flag - must be False",
doc="""Indicates whether holdup terms should be constructed or not.
**default** - False. NF units do not have defined volume, thus
this must be False."""))
CONFIG.declare("material_balance_type", ConfigValue(
default=MaterialBalanceType.useDefault,
domain=In(MaterialBalanceType),
description="Material balance construction flag",
doc="""Indicates what type of mass balance should be constructed,
**default** - MaterialBalanceType.useDefault.
**Valid values:** {
**MaterialBalanceType.useDefault - refer to property package for default
balance type
**MaterialBalanceType.none** - exclude material balances,
**MaterialBalanceType.componentPhase** - use phase component balances,
**MaterialBalanceType.componentTotal** - use total component balances,
**MaterialBalanceType.elementTotal** - use total element balances,
**MaterialBalanceType.total** - use total material balance.}"""))
CONFIG.declare("energy_balance_type", ConfigValue(
default=EnergyBalanceType.useDefault,
domain=In(EnergyBalanceType),
description="Energy balance construction flag",
doc="""Indicates what type of energy balance should be constructed,
**default** - EnergyBalanceType.useDefault.
**Valid values:** {
**EnergyBalanceType.useDefault - refer to property package for default
balance type
**EnergyBalanceType.none** - exclude energy balances,
**EnergyBalanceType.enthalpyTotal** - single enthalpy balance for material,
**EnergyBalanceType.enthalpyPhase** - enthalpy balances for each phase,
**EnergyBalanceType.energyTotal** - single energy balance for material,
**EnergyBalanceType.energyPhase** - energy balances for each phase.}"""))
CONFIG.declare("momentum_balance_type", ConfigValue(
default=MomentumBalanceType.pressureTotal,
domain=In(MomentumBalanceType),
description="Momentum balance construction flag",
doc="""Indicates what type of momentum balance should be constructed,
**default** - MomentumBalanceType.pressureTotal.
**Valid values:** {
**MomentumBalanceType.none** - exclude momentum balances,
**MomentumBalanceType.pressureTotal** - single pressure balance for material,
**MomentumBalanceType.pressurePhase** - pressure balances for each phase,
**MomentumBalanceType.momentumTotal** - single momentum balance for material,
**MomentumBalanceType.momentumPhase** - momentum balances for each phase.}"""))
CONFIG.declare("has_pressure_change", ConfigValue(
default=False,
domain=In([True, False]),
description="Pressure change term construction flag",
doc="""Indicates whether terms for pressure change should be
constructed,
**default** - False.
**Valid values:** {
**True** - include pressure change terms,
**False** - exclude pressure change terms.}"""))
CONFIG.declare("property_package", ConfigValue(
default=useDefault,
domain=is_physical_parameter_block,
description="Property package to use for control volume",
doc="""Property parameter object used to define property calculations,
**default** - useDefault.
**Valid values:** {
**useDefault** - use default package from parent model or flowsheet,
**PhysicalParameterObject** - a PhysicalParameterBlock object.}"""))
CONFIG.declare("property_package_args", ConfigBlock(
implicit=True,
description="Arguments to use for constructing property packages",
doc="""A ConfigBlock with arguments to be passed to a property block(s)
and used when constructing these,
**default** - None.
**Valid values:** {
see property package for documentation.}"""))
def _process_config(self):
if len(self.config.property_package.solvent_set) > 1:
raise ConfigurationError("NF model only supports one solvent component,"
"the provided property package has specified {} solvent components"
.format(len(self.config.property_package.solvent_set)))
if len(self.config.property_package.solvent_set) == 0:
raise ConfigurationError("The NF model was expecting a solvent and did not receive it.")
if len(self.config.property_package.solute_set) == 0 and len(self.config.property_package.ion_set) == 0:
raise ConfigurationError("The NF model was expecting at least one solute or ion and did not receive any.")
[docs] def build(self):
# Call UnitModel.build to setup dynamics
super().build()
self.scaling_factor = Suffix(direction=Suffix.EXPORT)
units_meta = self.config.property_package.get_metadata().get_derived_units
self._process_config()
if hasattr(self.config.property_package,'ion_set'):
solute_set = self.config.property_package.ion_set
elif hasattr(self.config.property_package,'solute_set'):
solute_set = self.config.property_package.solute_set
solvent_solute_set = self.config.property_package.solvent_set | solute_set
# Add unit parameters
self.flux_vol_solvent = Var(
self.flowsheet().config.time,
self.config.property_package.solvent_set,
initialize=1.67e-6,
bounds=(1e-8, 1e-4),
units=units_meta('length') * units_meta('time') ** -1,
doc='Solvent volumetric flux')
self.rejection_phase_comp = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
solute_set,
initialize=0.9,
bounds=(-1 + 1e-6, 1 - 1e-6),
units=pyunits.dimensionless,
doc='Observed solute rejection')
self.dens_solvent = Param(
initialize=1000,
units=units_meta('mass')*units_meta('length')**-3,
doc='Pure water density')
# Add unit variables
self.area = Var(
initialize=1,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=units_meta('length') ** 2,
doc='Membrane area')
def recovery_mass_phase_comp_initialize(b, t, p, j):
if j in b.config.property_package.solvent_set:
return 0.8
elif j in solute_set:
return 0.1
def recovery_mass_phase_comp_bounds(b, t, p, j):
ub = 1 - 1e-6
if j in b.config.property_package.solvent_set:
lb = 1e-2
elif j in solute_set:
lb = 1e-5
else:
lb = 1e-5
return lb, ub
self.recovery_mass_phase_comp = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
solvent_solute_set,
initialize=recovery_mass_phase_comp_initialize,
bounds=recovery_mass_phase_comp_bounds,
units=pyunits.dimensionless,
doc='Mass-based component recovery')
self.recovery_vol_phase = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
initialize=0.1,
bounds=(1e-2, 1 - 1e-6),
units=pyunits.dimensionless,
doc='Volumetric-based recovery')
# Build control volume for feed side
self.feed_side = ControlVolume0DBlock(default={
"dynamic": False,
"has_holdup": False,
"property_package": self.config.property_package,
"property_package_args": self.config.property_package_args})
self.feed_side.add_state_blocks(
has_phase_equilibrium=False)
self.feed_side.add_material_balances(
balance_type=self.config.material_balance_type,
has_mass_transfer=True)
@self.feed_side.Constraint(self.flowsheet().config.time,
doc='isothermal energy balance for feed_side')
def eq_isothermal(b, t):
return b.properties_in[t].temperature == b.properties_out[t].temperature
self.feed_side.add_momentum_balances(
balance_type=self.config.momentum_balance_type,
has_pressure_change=self.config.has_pressure_change)
# Add permeate block
tmp_dict = dict(**self.config.property_package_args)
tmp_dict["has_phase_equilibrium"] = False
tmp_dict["parameters"] = self.config.property_package
tmp_dict["defined_state"] = False # permeate block is not an inlet
self.properties_permeate = self.config.property_package.state_block_class(
self.flowsheet().config.time,
doc="Material properties of permeate",
default=tmp_dict)
# Add Ports
self.add_inlet_port(name='inlet', block=self.feed_side)
self.add_outlet_port(name='retentate', block=self.feed_side)
self.add_port(name='permeate', block=self.properties_permeate)
# References for control volume
# pressure change
if (self.config.has_pressure_change is True and
self.config.momentum_balance_type != 'none'):
self.deltaP = Reference(self.feed_side.deltaP)
# mass transfer
self.mass_transfer_phase_comp = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
solvent_solute_set,
initialize=1,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=units_meta('mass')*units_meta('time')**-1,
doc='Mass transfer to permeate')
@self.Constraint(self.flowsheet().config.time,
self.config.property_package.phase_list,
solvent_solute_set,
doc="Mass transfer term")
def eq_mass_transfer_term(b, t, p, j):
# TODO- come up with better way to handle different locations of mw_comp in property models (generic vs simple ion prop model)
if b.feed_side.properties_in[0].get_material_flow_basis() == MaterialFlowBasis.mass:
return b.mass_transfer_phase_comp[t, p, j] == -b.feed_side.mass_transfer_term[t, p, j]
elif b.feed_side.properties_in[0].get_material_flow_basis() == MaterialFlowBasis.molar:
if hasattr(b.feed_side.properties_in[0].params, 'mw_comp'):
mw_comp = b.feed_side.properties_in[0].params.mw_comp[j]
elif hasattr(b.feed_side.properties_in[0], 'mw_comp'):
mw_comp = b.feed_side.properties_in[0].mw_comp[j]
else:
raise ConfigurationError('mw_comp was not found.')
return b.mass_transfer_phase_comp[t, p, j] == -b.feed_side.mass_transfer_term[t, p, j] \
* mw_comp
# NF performance equations
@self.Constraint(self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.solvent_set,
doc="Solvent mass transfer")
def eq_solvent_transfer(b, t, p, j):
if b.feed_side.properties_in[0].get_material_flow_basis() == MaterialFlowBasis.mass:
return (b.flux_vol_solvent[t, j] * b.dens_solvent * b.area
== -b.feed_side.mass_transfer_term[t, p, j])
elif b.feed_side.properties_in[0].get_material_flow_basis() == MaterialFlowBasis.molar:
#TODO- come up with better way to handle different locations of mw_comp in property models (generic vs simple ion prop model)
if hasattr(b.feed_side.properties_in[0].params, 'mw_comp'):
mw_comp = b.feed_side.properties_in[0].params.mw_comp[j]
elif hasattr(b.feed_side.properties_in[0], 'mw_comp'):
mw_comp = b.feed_side.properties_in[0].mw_comp[j]
else:
raise ConfigurationError('mw_comp was not found.')
return (b.flux_vol_solvent[t, j] * b.dens_solvent * b.area
== -b.feed_side.mass_transfer_term[t, p, j] * mw_comp)
@self.Constraint(self.flowsheet().config.time,
self.config.property_package.phase_list,
solvent_solute_set,
doc="Permeate production")
def eq_permeate_production(b, t, p, j):
return (b.properties_permeate[t].get_material_flow_terms(p, j)
== -b.feed_side.mass_transfer_term[t, p, j])
@self.Constraint(self.flowsheet().config.time,
self.config.property_package.phase_list,
solute_set,
doc="Solute rejection")
def eq_rejection_phase_comp(b, t, p, j):
return (b.properties_permeate[t].conc_mol_phase_comp['Liq', j]
== b.feed_side.properties_in[t].conc_mol_phase_comp['Liq', j]
* (1 - b.rejection_phase_comp[t, p, j]))
@self.Constraint(self.flowsheet().config.time)
def eq_recovery_vol_phase(b, t):
return (b.recovery_vol_phase[t, 'Liq'] ==
b.properties_permeate[t].flow_vol /
b.feed_side.properties_in[t].flow_vol)
@self.Constraint(self.flowsheet().config.time,
solvent_solute_set)
def eq_recovery_mass_phase_comp(b, t, j):
return (b.recovery_mass_phase_comp[t, 'Liq', j] ==
b.properties_permeate[t].flow_mass_phase_comp['Liq', j] /
b.feed_side.properties_in[t].flow_mass_phase_comp['Liq', j])
@self.Constraint(self.flowsheet().config.time,
doc="Isothermal assumption for permeate")
def eq_permeate_isothermal(b, t):
return b.feed_side.properties_in[t].temperature == \
b.properties_permeate[t].temperature
[docs] def initialize(
blk,
state_args=None,
outlvl=idaeslog.NOTSET,
solver=None,
optarg=None):
"""
General wrapper for pressure changer initialization routines
Keyword Arguments:
state_args : a dict of arguments to be passed to the property
package(s) to provide an initial state for
initialization (see documentation of the specific
property package) (default = {}).
outlvl : sets output level of initialization routine
optarg : solver options dictionary object (default=None)
solver : str indicating which solver to use during
initialization (default = None)
Returns: None
"""
init_log = idaeslog.getInitLogger(blk.name, outlvl, tag="unit")
solve_log = idaeslog.getSolveLogger(blk.name, outlvl, tag="unit")
opt = get_solver(solver, optarg)
# ---------------------------------------------------------------------
# Initialize holdup block
flags = blk.feed_side.initialize(
outlvl=outlvl,
optarg=optarg,
solver=solver,
state_args=state_args,
)
init_log.info_high("Initialization Step 1 Complete.")
# ---------------------------------------------------------------------
# Initialize permeate
# Set state_args from inlet state
if state_args is None:
state_args = {}
state_dict = blk.feed_side.properties_in[
blk.flowsheet().config.time.first()].define_port_members()
for k in state_dict.keys():
if state_dict[k].is_indexed():
state_args[k] = {}
for m in state_dict[k].keys():
state_args[k][m] = state_dict[k][m].value
else:
state_args[k] = state_dict[k].value
blk.properties_permeate.initialize(
outlvl=outlvl,
optarg=optarg,
solver=solver,
state_args=state_args,
)
init_log.info_high("Initialization Step 2 Complete.")
# ---------------------------------------------------------------------
# Solve unit
with idaeslog.solver_log(solve_log, idaeslog.DEBUG) as slc:
res = opt.solve(blk, tee=slc.tee)
init_log.info_high(
"Initialization Step 3 {}.".format(idaeslog.condition(res)))
# ---------------------------------------------------------------------
# Release Inlet state
blk.feed_side.release_state(flags, outlvl + 1)
init_log.info(
"Initialization Complete: {}".format(idaeslog.condition(res))
)
def _get_performance_contents(self, time_point=0):
for k in ('ion_set', 'solute_set'):
if hasattr(self.config.property_package, k):
solute_set = getattr(self.config.property_package, k)
break
var_dict = {}
expr_dict = {}
var_dict["Volumetric Recovery Rate"] = self.recovery_vol_phase[time_point, 'Liq']
var_dict["Solvent Mass Recovery Rate"] = self.recovery_mass_phase_comp[time_point, 'Liq', 'H2O']
var_dict["Membrane Area"] = self.area
if hasattr(self, "deltaP"):
var_dict["Pressure Change"] = self.deltaP[time_point]
if self.feed_side.properties_in[time_point].is_property_constructed('flow_vol'):
if self.feed_side.properties_in[time_point].flow_vol.is_variable_type():
obj_dict = var_dict
elif self.feed_side.properties_in[time_point].flow_vol.is_named_expression_type():
obj_dict = expr_dict
else:
raise Exception(f"{self.feed_side.properties_in[time_point].flow_vol} isn't a variable nor expression")
obj_dict['Volumetric Flowrate @Inlet'] = self.feed_side.properties_in[time_point].flow_vol
if self.feed_side.properties_out[time_point].is_property_constructed('flow_vol'):
if self.feed_side.properties_out[time_point].flow_vol.is_variable_type():
obj_dict = var_dict
elif self.feed_side.properties_out[time_point].flow_vol.is_named_expression_type():
obj_dict = expr_dict
else:
raise Exception(f"{self.feed_side.properties_in[time_point].flow_vol} isn't a variable nor expression")
obj_dict['Volumetric Flowrate @Outlet'] = self.feed_side.properties_out[time_point].flow_vol
var_dict['Solvent Volumetric Flux']= self.flux_vol_solvent[time_point, 'H2O']
for j in solute_set:
var_dict[f'{j} Rejection'] = self.rejection_phase_comp[time_point, 'Liq', j]
if self.feed_side.properties_in[time_point].conc_mol_phase_comp['Liq', j].is_expression_type():
obj_dict = expr_dict
elif self.feed_side.properties_in[time_point].conc_mol_phase_comp['Liq', j].is_variable_type():
obj_dict = var_dict
obj_dict[f'{j} Molar Concentration @Inlet'] = self.feed_side.properties_in[time_point].conc_mol_phase_comp['Liq', j]
obj_dict[f'{j} Molar Concentration @Outlet'] = self.feed_side.properties_out[time_point].conc_mol_phase_comp['Liq', j]
obj_dict[f'{j} Molar Concentration @Permeate'] = self.properties_permeate[time_point].conc_mol_phase_comp['Liq', j]
return {"vars": var_dict, "exprs": expr_dict}
def _get_stream_table_contents(self, time_point=0):
return create_stream_table_dataframe(
{
"Feed Inlet": self.inlet,
"Feed Outlet": self.retentate,
"Permeate Outlet": self.permeate,
},
time_point=time_point,
)
def get_costing(self, module=None, **kwargs):
self.costing = Block()
module.Nanofiltration_costing(self.costing, **kwargs)
def calculate_scaling_factors(self):
super().calculate_scaling_factors()
for k in ('ion_set', 'solute_set'):
if hasattr(self.config.property_package, k):
solute_set = getattr(self.config.property_package, k)
break
# TODO: require users to set scaling factor for area or calculate it based on mass transfer and flux
iscale.set_scaling_factor(self.area, 1e-1)
# setting scaling factors for variables
# these variables should have user input, if not there will be a warning
if iscale.get_scaling_factor(self.area) is None:
sf = iscale.get_scaling_factor(self.area, default=1, warning=True)
iscale.set_scaling_factor(self.area, sf)
# these variables do not typically require user input,
# will not override if the user does provide the scaling factor
# TODO: this default scaling assumes SI units rather than being based on the property package
if iscale.get_scaling_factor(self.dens_solvent) is None:
iscale.set_scaling_factor(self.dens_solvent, 1e-3)
for t, v in self.flux_vol_solvent.items():
if iscale.get_scaling_factor(v) is None:
iscale.set_scaling_factor(v, 1e6)
for (t, p, j), v in self.rejection_phase_comp.items():
if iscale.get_scaling_factor(v) is None:
iscale.set_scaling_factor(v, 1e1)
for (t, p, j), v in self.mass_transfer_phase_comp.items():
if iscale.get_scaling_factor(v) is None:
sf = 10 * iscale.get_scaling_factor(self.feed_side.properties_in[t].get_material_flow_terms(p, j))
iscale.set_scaling_factor(v, sf)
if iscale.get_scaling_factor(self.recovery_vol_phase) is None:
iscale.set_scaling_factor(self.recovery_vol_phase, 1)
for (t, p, j), v in self.recovery_mass_phase_comp.items():
if j in self.config.property_package.solvent_set:
sf = 1
elif j in solute_set:
sf = 10
if iscale.get_scaling_factor(v) is None:
iscale.set_scaling_factor(v, sf)
# transforming constraints
for ind, c in self.feed_side.eq_isothermal.items():
sf = iscale.get_scaling_factor(self.feed_side.properties_in[0].temperature)
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_mass_transfer_term.items():
sf = iscale.get_scaling_factor(self.mass_transfer_phase_comp[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_solvent_transfer.items():
sf = iscale.get_scaling_factor(self.mass_transfer_phase_comp[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_permeate_production.items():
sf = iscale.get_scaling_factor(self.mass_transfer_phase_comp[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_rejection_phase_comp.items():
sf = iscale.get_scaling_factor(self.rejection_phase_comp[ind])
iscale.constraint_scaling_transform(c, sf)
for t, c in self.eq_permeate_isothermal.items():
sf = iscale.get_scaling_factor(self.feed_side.properties_in[t].temperature)
iscale.constraint_scaling_transform(c, sf)
for t, c in self.eq_recovery_vol_phase.items():
sf = iscale.get_scaling_factor(self.recovery_vol_phase[t, 'Liq'])
iscale.constraint_scaling_transform(c, sf)
for (t, j), c in self.eq_recovery_mass_phase_comp.items():
sf = iscale.get_scaling_factor(self.recovery_mass_phase_comp[t, 'Liq', j])
iscale.constraint_scaling_transform(c, sf)