1D Membrane Model for CO2 Capture and Utilization

idaes/models_extra/co2_capture_and_utilization/unit_models/README.md

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+This directory contains the unit models for Carbon Capture and Utilization

idaes/models_extra/co2_capture_and_utilization/unit_models/__init__.py

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+#################################################################################
+# The Institute for the Design of Advanced Energy Systems Integrated Platform
+# Framework (IDAES IP) was produced under the DOE Institute for the
+# Design of Advanced Energy Systems (IDAES).
+#
+# Copyright (c) 2018-2024 by the software owners: The Regents of the
+# University of California, through Lawrence Berkeley National Laboratory,
+# National Technology & Engineering Solutions of Sandia, LLC, Carnegie Mellon
+# University, West Virginia University Research Corporation, et al.
+# All rights reserved.  Please see the files COPYRIGHT.md and LICENSE.md
+# for full copyright and license information.
+#################################################################################
+from .membrane_1d import Membrane1D, MembraneFlowPattern

idaes/models_extra/co2_capture_and_utilization/unit_models/membrane_1d.py

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+#################################################################################
+# The Institute for the Design of Advanced Energy Systems Integrated Platform
+# Framework (IDAES IP) was produced under the DOE Institute for the
+# Design of Advanced Energy Systems (IDAES).
+#
+# Copyright (c) 2018-2024 by the software owners: The Regents of the
+# University of California, through Lawrence Berkeley National Laboratory,
+# National Technology & Engineering Solutions of Sandia, LLC, Carnegie Mellon
+# University, West Virginia University Research Corporation, et al.
+# All rights reserved.  Please see the files COPYRIGHT.md and LICENSE.md
+# for full copyright and license information.
+#################################################################################
+
+"""
+One-dimensional membrane class for CO2 gas separation
+"""
+
+# pylint: disable=unused-import
+from enum import Enum
+from pyomo.common.config import Bool, ConfigDict, ConfigValue, In
+from pyomo.environ import (
+    Constraint,
+    Param,
+    Var,
+    units,
+    Expression,
+)
+from pyomo.network import Port
+
+from idaes.core import (
+    FlowDirection,
+    UnitModelBlockData,
+    declare_process_block_class,
+    useDefault,
+    MaterialFlowBasis,
+)
+from idaes.core.util.config import is_physical_parameter_block
+from idaes.models.unit_models.mscontactor import MSContactor
+from idaes.core.util.exceptions import ConfigurationError
+from idaes.core.util.tables import create_stream_table_dataframe
+
+__author__ = "Maojian Wang"
+
+
+class MembraneFlowPattern(Enum):
+    """
+    Enum of supported flow patterns for membrane.
+    So far only support countercurrent and cocurrent flow
+    """
+
+    COUNTERCURRENT = 1
+    COCURRENT = 2
+
+
+@declare_process_block_class("Membrane1D")
+class Membrane1DData(UnitModelBlockData):
+    """Standard Membrane 1D Unit Model Class."""
+
+    CONFIG = UnitModelBlockData.CONFIG()
+
+    Stream_Config = ConfigDict()
+
+    Stream_Config.declare(
+        "property_package",
+        ConfigValue(
+            default=useDefault,
+            domain=is_physical_parameter_block,
+            description="Property package to use for given stream",
+            doc="""Property parameter object used to define property calculations for given stream,
+    **default** - useDefault.
+    **Valid values:** {
+    **useDefault** - use default package from parent model or flowsheet,
+    **PhysicalParameterObject** - a PhysicalParameterBlock object.}""",
+        ),
+    )
+    Stream_Config.declare(
+        "property_package_args",
+        ConfigDict(
+            implicit=True,
+            description="Dict of arguments to use for constructing property package",
+            doc="""A ConfigDict with arguments to be passed to property block(s)
+    and used when constructing these,
+    **default** - None.
+    **Valid values:** {
+    see property package for documentation.}""",
+        ),
+    )
+
+    Stream_Config.declare(
+        "has_energy_balance",
+        ConfigValue(
+            default=True,
+            domain=Bool,
+            doc="Bool indicating whether to include energy balance for stream. Default=True.",
+        ),
+    )
+    Stream_Config.declare(
+        "has_pressure_balance",
+        ConfigValue(
+            default=True,
+            domain=Bool,
+            doc="Bool indicating whether to include pressure balance for stream. Default=True.",
+        ),
+    )
+
+    CONFIG.declare(
+        "sweep_flow",
+        ConfigValue(
+            default=True,
+            domain=Bool,
+            doc="Bool indicating whether there is a sweep flow in the permeate side.",
+            description="Bool indicating whether stream has a feed Port and inlet "
+            "state, or if all flow is provided via mass transfer. Default=True.",
+        ),
+    )
+    CONFIG.declare(
+        "finite_elements",
+        ConfigValue(
+            default=5,
+            domain=int,
+            description="Number of finite elements in length domain",
+            doc="""Number of finite elements to use when discretizing length
+                domain (default=5)""",
+        ),
+    )
+    CONFIG.declare(
+        "flow_type",
+        ConfigValue(
+            default=MembraneFlowPattern.COUNTERCURRENT,
+            domain=In(MembraneFlowPattern),
+            description="Flow configuration of membrane",
+            doc="""Flow configuration of membrane
+               - MembraneFlowPattern.COCURRENT: feed and sweep flows from 0 to 1
+               - MembraneFlowPattern.COUNTERCURRENT: feed side flows from 0 to 1
+                                                    sweep side flows from 1 to 0  (default)""",
+        ),
+    )
+
+    for side_name in ["feed", "sweep"]:
+        CONFIG.declare(
+            side_name + "_side",
+            Stream_Config(),
+        )
+
+    def build(self):
+        """
+        This is a one-dimensional model for gas separation in CO₂ capture applications.
+        The model will be discretized in the flow direction, and it supports two flow patterns:
+        counter-current flow and co-current flow. The model was customized for gas-phase separation
+        in CO₂ capture with a single-layer design. If a multi-layer design is needed, multiple units
+        can be connected for this application. The two sides of the membrane are called the feed side
+        and sweep side. The sweep stream inlet is optional. The driving force across the membrane is the
+        partial pressure difference in this gas separation application. Additionally, the energy balance
+        assumes that temperature remains constant on each side of the membrane.
+
+        """
+        super().build()
+
+        feed_dict = dict(self.config.feed_side)
+        sweep_dict = dict(self.config.sweep_side)
+
+        feed_dict["flow_direction"] = FlowDirection.forward
+        if self.config.flow_type == MembraneFlowPattern.COCURRENT:
+            sweep_dict["flow_direction"] = FlowDirection.forward
+        elif self.config.flow_type == MembraneFlowPattern.COUNTERCURRENT:
+            sweep_dict["flow_direction"] = FlowDirection.backward
+        else:
+            raise ConfigurationError(
+                f"{self.name} Membrane1D only supports cocurrent and "
+                "countercurrent flow patterns, but flow_type configuration"
+                " argument was set to {config.flow_type}."
+            )
+
+        if self.config.sweep_flow is False:
+            sweep_dict["has_feed"] = False
+
+        streams_dict = {"feed_side": feed_dict, "sweep_side": sweep_dict}
+        self.mscontactor = MSContactor(
+            streams=streams_dict,
+            number_of_finite_elements=self.config.finite_elements,
+        )
+
+        self.feed_side_inlet = Port(extends=self.mscontactor.feed_side_inlet)
+        self.feed_side_outlet = Port(extends=self.mscontactor.feed_side_outlet)
+        if self.config.sweep_flow is True:
+            self.sweep_side_inlet = Port(extends=self.mscontactor.sweep_side_inlet)
+        self.sweep_side_outlet = Port(extends=self.mscontactor.sweep_side_outlet)
+
+        self._make_geometry()
+        self._make_performance()
+
+    def _make_geometry(self):
+
+        self.area = Var(
+            initialize=100, units=units.cm**2, doc="Area per cell (or finite element)"
+        )
+
+        self.length = Var(initialize=100, units=units.cm, doc="The membrane length")
+        self.cell_length = Expression(expr=self.length / self.config.finite_elements)
+
+        self.cell_area = Var(initialize=100, units=units.cm**2, doc="The membrane area")
+
+        @self.Constraint()
+        def area_per_cell(self):
+            return self.cell_area == self.area / self.config.finite_elements
+
+    def _make_performance(self):
+        feed_side_units = (
+            self.config.feed_side.property_package.get_metadata().derived_units
+        )
+
+        self.permeance = Var(
+            self.flowsheet().time,
+            self.mscontactor.elements,
+            self.mscontactor.feed_side.component_list,
+            initialize=1,
+            doc="Values in Gas Permeance Unit(GPU)",
+            units=units.dimensionless,
+        )
+
+        self.gpu_factor = Param(
+            default=10e-8 / 13333.2239,
+            units=units.m / units.s / units.Pa,
+            mutable=True,
+            doc=" This is a coefficient that will convert the unit of permeability from GPU to SI units for further calculation",
+        )
+
+        """
+        Selectivity is defined for cases where some permeabilities are unavailable. Only define the selectivity
+         between different components; others should be set to 1. If the permeabilities of all components are defined
+         there is no need to define selectivity, as this may overdefine the problem.
+        """
+        self.selectivity = Var(
+            self.flowsheet().time,
+            self.mscontactor.elements,
+            self.mscontactor.feed_side.component_list,
+            self.mscontactor.feed_side.component_list,
+            initialize=1,
+            units=units.dimensionless,
+        )
+
+        @self.Constraint(
+            self.flowsheet().time,
+            self.mscontactor.elements,
+            self.mscontactor.feed_side.component_list,
+            self.mscontactor.feed_side.component_list,
+            doc="permeance calculation",
+        )
+        def permeance_calculation(self, t, e, a, b):
+            return (
+                self.permeance[t, e, a] * self.selectivity[t, e, a, b]
+                == self.permeance[t, e, b]
+            )
+
+        p_units = feed_side_units.PRESSURE
+
+        crossover_component_list = list(
+            set(self.mscontactor.feed_side.component_list)
+            & set(self.mscontactor.sweep_side.component_list)
+        )
+
+        @self.Constraint(
+            self.flowsheet().time,
+            self.mscontactor.elements,
+            crossover_component_list,
+            doc="permeability calculation",
+        )
+        def permeability_calculation(self, t, s, m):
+            feed_side_state = self.mscontactor.feed_side[t, s]
+            if feed_side_state.get_material_flow_basis() is MaterialFlowBasis.molar:
+                mb_units = feed_side_units.FLOW_MOLE
+                rho = self.mscontactor.feed_side[t, s].dens_mol
+            elif feed_side_state.get_material_flow_basis() is MaterialFlowBasis.mass:
+                mb_units = feed_side_units.FLOW_MASS
+                rho = self.mscontactor.feed_side[t, s].dens_mass
+            else:
+                raise TypeError(
+                    "This model only supports MaterialFlowBasis equal to molar or mass"
+                )
+
+            return self.mscontactor.material_transfer_term[
+                t, s, "feed_side", "sweep_side", m
+            ] == -units.convert(
+                (
+                    rho
+                    * self.gpu_factor
+                    * self.permeance[t, s, m]
+                    * self.cell_area
+                    * (
+                        self.mscontactor.feed_side[t, s].pressure
+                        * self.mscontactor.feed_side[t, s].mole_frac_comp[m]
+                        - units.convert(
+                            self.mscontactor.sweep_side[t, s].pressure, to_units=p_units
+                        )
+                        * self.mscontactor.sweep_side[t, s].mole_frac_comp[m]
+                    )
+                ),
+                to_units=mb_units,
+            )
+
+        @self.Constraint(
+            self.flowsheet().time,
+            self.mscontactor.elements,
+            doc="Energy balance",
+        )
+        def energy_transfer(self, t, s):
+            return (
+                self.mscontactor.feed_side[t, s].temperature
+                == self.mscontactor.sweep_side[t, s].temperature
+            )
+
+    def _get_stream_table_contents(self, time_point=0):
+        return create_stream_table_dataframe(
+            {
+                "Feed Inlet": self.feed_side_inlet,
+                "Feed Outlet": self.feed_side_outlet,
+                "Permeate Inlet": self.sweep_side_inlet,
+                "Permeate Outlet": self.sweep_side_outlet,
+            },
+            time_point=time_point,
+        )