###############################################################################
# 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,
)
from idaes.core.solvers import get_solver
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("NanoFiltration0D")
class NanoFiltrationData(UnitModelBlockData):
"""
Standard NF Unit Model Class:
- zero dimensional model
- steady state only
- single liquid phase only
"""
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.}""",
),
)
[docs] def build(self):
# Call UnitModel.build to setup dynamics
super().build()
self.scaling_factor = Suffix(direction=Suffix.EXPORT)
if len(self.config.property_package.phase_list) > 1 or "Liq" not in [
p for p in self.config.property_package.phase_list
]:
raise ConfigurationError(
"NF model only supports one liquid phase ['Liq'],"
"the property package has specified the following phases {}".format(
[p for p in self.config.property_package.phase_list]
)
)
units_meta = self.config.property_package.get_metadata().get_derived_units
# TODO: update IDAES such that solvent and solute lists are automatically created on the parameter block
self.solvent_list = Set()
self.solute_list = Set()
for c in self.config.property_package.component_list:
comp = self.config.property_package.get_component(c)
try:
if comp.is_solvent():
self.solvent_list.add(c)
if comp.is_solute():
self.solute_list.add(c)
except TypeError:
raise ConfigurationError(
"NF model only supports one solvent and one or more solutes,"
"the provided property package has specified a component '{}' "
"that is not a solvent or solute".format(c)
)
if len(self.solvent_list) > 1:
raise ConfigurationError(
"NF model only supports one solvent component,"
"the provided property package has specified {} solvent components".format(
len(self.solvent_list)
)
)
# Add unit parameters
self.A_comp = Var(
self.flowsheet().config.time,
self.solvent_list,
initialize=1e-12,
bounds=(1e-18, 1e-6),
domain=NonNegativeReals,
units=units_meta("length")
* units_meta("pressure") ** -1
* units_meta("time") ** -1,
doc="Solvent permeability coeff.",
)
self.B_comp = Var(
self.flowsheet().config.time,
self.solute_list,
initialize=1e-8,
bounds=(1e-11, 1e-5),
domain=NonNegativeReals,
units=units_meta("length") * units_meta("time") ** -1,
doc="Solute permeability coeff.",
)
self.sigma = Var(
self.flowsheet().config.time,
initialize=0.5,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=pyunits.dimensionless,
doc="Reflection coefficient",
)
self.dens_solvent = Param(
initialize=1000,
units=units_meta("mass") * units_meta("length") ** -3,
doc="Pure water density",
)
# Add unit variables
self.flux_mass_phase_comp_in = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
initialize=1e-3,
bounds=(1e-12, 1e6),
units=units_meta("mass")
* units_meta("length") ** -2
* units_meta("time") ** -1,
doc="Flux at feed inlet",
)
self.flux_mass_phase_comp_out = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
initialize=1e-3,
bounds=(1e-12, 1e6),
units=units_meta("mass")
* units_meta("length") ** -2
* units_meta("time") ** -1,
doc="Flux at feed outlet",
)
self.avg_conc_mass_phase_comp_in = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.solute_list,
initialize=1e-3,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=units_meta("mass") * units_meta("length") ** -3,
doc="Average solute concentration at feed inlet",
)
self.avg_conc_mass_phase_comp_out = Var(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.solute_list,
initialize=1e-3,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=units_meta("mass") * units_meta("length") ** -3,
doc="Average solute concentration at feed outlet",
)
self.area = Var(
initialize=1,
bounds=(1e-8, 1e6),
domain=NonNegativeReals,
units=units_meta("length") ** 2,
doc="Membrane area",
)
# 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.add_energy_balances(
balance_type=self.config.energy_balance_type, has_enthalpy_transfer=True
)
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,
self.config.property_package.component_list,
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,
self.config.property_package.component_list,
doc="Mass transfer term",
)
def eq_mass_transfer_term(self, t, p, j):
return (
self.mass_transfer_phase_comp[t, p, j]
== -self.feed_side.mass_transfer_term[t, p, j]
)
# NF performance equations
@self.Expression(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
doc="Average flux expression",
)
def flux_mass_phase_comp_avg(b, t, p, j):
return 0.5 * (
b.flux_mass_phase_comp_in[t, p, j] + b.flux_mass_phase_comp_out[t, p, j]
)
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
doc="Permeate production",
)
def eq_permeate_production(b, t, p, j):
return (
b.properties_permeate[t].get_material_flow_terms(p, j)
== b.area * b.flux_mass_phase_comp_avg[t, p, j]
)
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
doc="Inlet water and salt flux",
)
def eq_flux_in(b, t, p, j):
prop_feed = b.feed_side.properties_in[t]
prop_perm = b.properties_permeate[t]
comp = self.config.property_package.get_component(j)
if comp.is_solvent():
return b.flux_mass_phase_comp_in[t, p, j] == b.A_comp[
t, j
] * b.dens_solvent * (
(prop_feed.pressure - prop_perm.pressure)
- b.sigma[t] * (prop_feed.pressure_osm - prop_perm.pressure_osm)
)
elif comp.is_solute():
return b.flux_mass_phase_comp_in[t, p, j] == b.B_comp[t, j] * (
prop_feed.conc_mass_phase_comp[p, j]
- prop_perm.conc_mass_phase_comp[p, j]
) + (
(1 - b.sigma[t])
* b.flux_mass_phase_comp_in[t, p, j]
* 1
/ b.dens_solvent
* b.avg_conc_mass_phase_comp_in[t, p, j]
)
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
doc="Outlet water and salt flux",
)
def eq_flux_out(b, t, p, j):
prop_feed = b.feed_side.properties_out[t]
prop_perm = b.properties_permeate[t]
comp = self.config.property_package.get_component(j)
if comp.is_solvent():
return b.flux_mass_phase_comp_out[t, p, j] == b.A_comp[
t, j
] * b.dens_solvent * (
(prop_feed.pressure - prop_perm.pressure)
- b.sigma[t] * (prop_feed.pressure_osm - prop_perm.pressure_osm)
)
elif comp.is_solute():
return b.flux_mass_phase_comp_out[t, p, j] == b.B_comp[t, j] * (
prop_feed.conc_mass_phase_comp[p, j]
- prop_perm.conc_mass_phase_comp[p, j]
) + (
(1 - b.sigma[t])
* b.flux_mass_phase_comp_out[t, p, j]
* 1
/ b.dens_solvent
* b.avg_conc_mass_phase_comp_out[t, p, j]
)
# Average concentration
# COMMENT: Chen approximation of logarithmic average implemented
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.solute_list,
doc="Average inlet concentration",
)
def eq_avg_conc_in(b, t, p, j):
prop_feed = b.feed_side.properties_in[t]
prop_perm = b.properties_permeate[t]
return b.avg_conc_mass_phase_comp_in[t, p, j] == (
prop_feed.conc_mass_phase_comp[p, j]
* prop_perm.conc_mass_phase_comp[p, j]
* (
prop_feed.conc_mass_phase_comp[p, j]
+ prop_perm.conc_mass_phase_comp[p, j]
)
/ 2
) ** (1 / 3)
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.solute_list,
doc="Average inlet concentration",
)
def eq_avg_conc_out(b, t, p, j):
prop_feed = b.feed_side.properties_out[t]
prop_perm = b.properties_permeate[t]
return b.avg_conc_mass_phase_comp_out[t, p, j] == (
prop_feed.conc_mass_phase_comp[p, j]
* prop_perm.conc_mass_phase_comp[p, j]
* (
prop_feed.conc_mass_phase_comp[p, j]
+ prop_perm.conc_mass_phase_comp[p, j]
)
/ 2
) ** (1 / 3)
# Feed and permeate-side connection
@self.Constraint(
self.flowsheet().config.time,
self.config.property_package.phase_list,
self.config.property_package.component_list,
doc="Mass transfer from feed to permeate",
)
def eq_connect_mass_transfer(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, doc="Enthalpy transfer from feed to permeate"
)
def eq_connect_enthalpy_transfer(b, t):
return (
b.properties_permeate[t].get_enthalpy_flow_terms("Liq")
== -b.feed_side.enthalpy_transfer[t]
)
@self.Constraint(
self.flowsheet().config.time, doc="Isothermal assumption for permeate"
)
def eq_permeate_isothermal(b, t):
return (
b.feed_side.properties_out[t].temperature
== b.properties_permeate[t].temperature
)
[docs] def initialize_build(
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")
# Set solver options
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):
# TODO: make a unit specific stream table
var_dict = {}
if hasattr(self, "deltaP"):
var_dict["Pressure Change"] = self.deltaP[time_point]
return {"vars": var_dict}
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()
# 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
if iscale.get_scaling_factor(self.A_comp) is None:
iscale.set_scaling_factor(self.A_comp, 1e11)
if iscale.get_scaling_factor(self.B_comp) is None:
iscale.set_scaling_factor(self.B_comp, 1e5)
if iscale.get_scaling_factor(self.sigma) is None:
iscale.set_scaling_factor(self.sigma, 1)
if iscale.get_scaling_factor(self.dens_solvent) is None:
sf = iscale.get_scaling_factor(
self.feed_side.properties_in[0].dens_mass_phase["Liq"]
)
iscale.set_scaling_factor(self.dens_solvent, sf)
for vobj in [self.flux_mass_phase_comp_in, self.flux_mass_phase_comp_out]:
for (t, p, j), v in vobj.items():
if iscale.get_scaling_factor(v) is None:
comp = self.config.property_package.get_component(j)
if comp.is_solvent(): # scaling based on solvent flux equation
sf = (
iscale.get_scaling_factor(self.A_comp[t, j])
* iscale.get_scaling_factor(self.dens_solvent)
* iscale.get_scaling_factor(
self.feed_side.properties_in[t].pressure
)
)
iscale.set_scaling_factor(v, sf)
elif comp.is_solute(): # scaling based on solute flux equation
sf = iscale.get_scaling_factor(
self.B_comp[t, j]
) * iscale.get_scaling_factor(
self.feed_side.properties_in[t].conc_mass_phase_comp[p, j]
)
iscale.set_scaling_factor(v, sf)
for vobj in [
self.avg_conc_mass_phase_comp_in,
self.avg_conc_mass_phase_comp_out,
]:
for (t, p, j), v in vobj.items():
if iscale.get_scaling_factor(v) is None:
sf = iscale.get_scaling_factor(
self.feed_side.properties_in[t].conc_mass_phase_comp[p, j]
)
iscale.set_scaling_factor(v, sf)
for (t, p, j), v in self.feed_side.mass_transfer_term.items():
if iscale.get_scaling_factor(v) is None:
sf = iscale.get_scaling_factor(
self.feed_side.properties_in[t].get_material_flow_terms(p, j)
)
comp = self.config.property_package.get_component(j)
if comp.is_solute:
sf *= 1e2 # solute typically has mass transfer 2 orders magnitude less than flow
iscale.set_scaling_factor(v, sf)
for (t, p, j), v in self.mass_transfer_phase_comp.items():
if iscale.get_scaling_factor(v) is None:
sf = iscale.get_scaling_factor(
self.feed_side.properties_in[t].get_material_flow_terms(p, j)
)
comp = self.config.property_package.get_component(j)
if comp.is_solute:
sf *= 1e2 # solute typically has mass transfer 2 orders magnitude less than flow
iscale.set_scaling_factor(v, sf)
# TODO: update IDAES control volume to scale mass_transfer and enthalpy_transfer
for ind, v in self.feed_side.mass_transfer_term.items():
(t, p, j) = ind
if iscale.get_scaling_factor(v) is None:
sf = iscale.get_scaling_factor(
self.feed_side.mass_transfer_term[t, p, j]
)
iscale.constraint_scaling_transform(
self.feed_side.material_balances[t, j], sf
)
for t, v in self.feed_side.enthalpy_transfer.items():
if iscale.get_scaling_factor(v) is None:
sf = iscale.get_scaling_factor(
self.feed_side.properties_in[t].enth_flow
)
iscale.set_scaling_factor(v, sf)
iscale.constraint_scaling_transform(
self.feed_side.enthalpy_balances[t], sf
)
# transforming constraints
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_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_flux_in.items():
sf = iscale.get_scaling_factor(self.flux_mass_phase_comp_in[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_flux_out.items():
sf = iscale.get_scaling_factor(self.flux_mass_phase_comp_out[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_avg_conc_in.items():
sf = iscale.get_scaling_factor(self.avg_conc_mass_phase_comp_in[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_avg_conc_out.items():
sf = iscale.get_scaling_factor(self.avg_conc_mass_phase_comp_out[ind])
iscale.constraint_scaling_transform(c, sf)
for ind, c in self.eq_connect_mass_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_connect_enthalpy_transfer.items():
sf = iscale.get_scaling_factor(self.feed_side.enthalpy_transfer[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)