PythonModels/systems/test_mql.py

@@ -4564,12 +4564,17 @@ class TestMqlSystem:
         resistance_boundary_pressure_pa: float,
         inlet_node_temperature_k: float = 293.15,
         resistance_boundary_temperature_k: float = 293.15,
+        p4_port1_remote_orifice_boundary_pressure_pa: float = 15.3e6,
+        p4_port1_remote_orifice_boundary_temperature_k: float = 293.15,
+        p4_port3_remote_orifice_boundary_pressure_pa: float = 15.3e6,
+        p4_port3_remote_orifice_boundary_temperature_k: float = 293.15,
     ):
         """Close a PN3 chamber segment through the adjacent real P4 node.
 
         The P4 primary pressure/temperature is supplied by the PNL0001 line on
-        P4 port 2. Ports 1 and 3 use the adjacent PNL0002 center compliances;
+        P4 port 2. Ports 1 and 3 use the adjacent PNL0002 center compliances.
-        their far P4 nodes remain prescribed boundaries in this local closure.
+        The next P4 nodes contribute their primary PNL0001/chamber states;
+        PNVO upstream endpoints remain prescribed boundaries in this local closure.
         """
         from PythonModels.components.amesim_pneumatic import (
             AmesimPneumaticOrifice,
@@ -4635,6 +4640,24 @@ class TestMqlSystem:
         p4_port1_remote_primary_chamber = self.network.components[
             p4_port1_remote_primary_chamber_alias
         ]
+        p4_port1_remote_port1_line = self.pnl0002_assembly.lines[
+            p4_port1_remote_neighborhood.port_1.line_alias
+        ]
+        p4_port1_far_node_alias = p4_port1_remote_neighborhood.port_1.remote_node_alias
+        p4_port1_far_node = self.node4_assembly[p4_port1_far_node_alias]
+        p4_port1_far_primary = self._p4_primary_connection_for_node(
+            p4_port1_far_node_alias
+        )
+        p4_port1_far_primary_line = self.pnl0001_assembly.lines[
+            p4_port1_far_primary.line_alias
+        ]
+        p4_port1_far_primary_chamber_alias = p4_port1_far_primary.chamber_alias
+        p4_port1_far_primary_chamber = self.network.components[
+            p4_port1_far_primary_chamber_alias
+        ]
+        p4_port1_remote_orifice = self.pneumatic_assembly.variable_orifices[
+            p4_port1_remote_neighborhood.port_4.orifice_alias
+        ]
         p4_port3_remote_neighborhood = self.p4_node_neighborhood(
             p4_neighborhood.port_3.remote_node_alias
         )
@@ -4650,6 +4673,24 @@ class TestMqlSystem:
         p4_port3_remote_primary_chamber = self.network.components[
             p4_port3_remote_primary_chamber_alias
         ]
+        p4_port3_remote_port3_line = self.pnl0002_assembly.lines[
+            p4_port3_remote_neighborhood.port_3.line_alias
+        ]
+        p4_port3_far_node_alias = p4_port3_remote_neighborhood.port_3.remote_node_alias
+        p4_port3_far_node = self.node4_assembly[p4_port3_far_node_alias]
+        p4_port3_far_primary = self._p4_primary_connection_for_node(
+            p4_port3_far_node_alias
+        )
+        p4_port3_far_primary_line = self.pnl0001_assembly.lines[
+            p4_port3_far_primary.line_alias
+        ]
+        p4_port3_far_primary_chamber_alias = p4_port3_far_primary.chamber_alias
+        p4_port3_far_primary_chamber = self.network.components[
+            p4_port3_far_primary_chamber_alias
+        ]
+        p4_port3_remote_orifice = self.pneumatic_assembly.variable_orifices[
+            p4_port3_remote_neighborhood.port_4.orifice_alias
+        ]
         volume = self.network.components[spec.volume_alias]
         inlet_orifice = self.network.components[spec.inlet_orifice_alias]
         outlet_orifice = self.network.components[spec.outlet_orifice_alias]
@@ -4667,6 +4708,14 @@ class TestMqlSystem:
             raise TypeError(
                 f"{p4_port3_remote_primary_chamber_alias} is not an AMESim pneumatic volume"
             )
+        if not isinstance(p4_port1_far_primary_chamber, AmesimPneumaticVolume):
+            raise TypeError(
+                f"{p4_port1_far_primary_chamber_alias} is not an AMESim pneumatic volume"
+            )
+        if not isinstance(p4_port3_far_primary_chamber, AmesimPneumaticVolume):
+            raise TypeError(
+                f"{p4_port3_far_primary_chamber_alias} is not an AMESim pneumatic volume"
+            )
         if not isinstance(inlet_orifice, AmesimPneumaticOrifice):
             raise TypeError(
                 f"{spec.inlet_orifice_alias} is not an AMESim pneumatic orifice"
@@ -4690,10 +4739,20 @@ class TestMqlSystem:
                 p4_port1_remote_node=p4_port1_remote_node,
                 p4_port1_remote_primary_line=p4_port1_remote_primary_line,
                 p4_port1_remote_primary_chamber=p4_port1_remote_primary_chamber,
+                p4_port1_remote_port1_line=p4_port1_remote_port1_line,
+                p4_port1_far_node=p4_port1_far_node,
+                p4_port1_far_primary_line=p4_port1_far_primary_line,
+                p4_port1_far_primary_chamber=p4_port1_far_primary_chamber,
+                p4_port1_remote_orifice=p4_port1_remote_orifice,
                 p4_port3_line=p4_port3_line,
                 p4_port3_remote_node=p4_port3_remote_node,
                 p4_port3_remote_primary_line=p4_port3_remote_primary_line,
                 p4_port3_remote_primary_chamber=p4_port3_remote_primary_chamber,
+                p4_port3_remote_port3_line=p4_port3_remote_port3_line,
+                p4_port3_far_node=p4_port3_far_node,
+                p4_port3_far_primary_line=p4_port3_far_primary_line,
+                p4_port3_far_primary_chamber=p4_port3_far_primary_chamber,
+                p4_port3_remote_orifice=p4_port3_remote_orifice,
                 volume=volume,
                 inlet_orifice=inlet_orifice,
                 outlet_orifice=outlet_orifice,
@@ -4707,6 +4766,14 @@ class TestMqlSystem:
                 pressure_pa=resistance_boundary_pressure_pa,
                 temperature_k=resistance_boundary_temperature_k,
             ),
+            p4_port1_remote_orifice_boundary=TestMqlPneumaticBoundaryCondition(
+                pressure_pa=p4_port1_remote_orifice_boundary_pressure_pa,
+                temperature_k=p4_port1_remote_orifice_boundary_temperature_k,
+            ),
+            p4_port3_remote_orifice_boundary=TestMqlPneumaticBoundaryCondition(
+                pressure_pa=p4_port3_remote_orifice_boundary_pressure_pa,
+                temperature_k=p4_port3_remote_orifice_boundary_temperature_k,
+            ),
         )
 
     def simulate_pn3_p4_node_chamber_segment_from_spec(
@@ -4717,6 +4784,10 @@ class TestMqlSystem:
         resistance_boundary_pressure_pa: float,
         inlet_node_temperature_k: float = 293.15,
         resistance_boundary_temperature_k: float = 293.15,
+        p4_port1_remote_orifice_boundary_pressure_pa: float = 15.3e6,
+        p4_port1_remote_orifice_boundary_temperature_k: float = 293.15,
+        p4_port3_remote_orifice_boundary_pressure_pa: float = 15.3e6,
+        p4_port3_remote_orifice_boundary_temperature_k: float = 293.15,
         config: SolveIVPConfig | None = None,
         t_eval: list[float] | None = None,
     ):
@@ -4726,6 +4797,18 @@ class TestMqlSystem:
             resistance_boundary_pressure_pa=resistance_boundary_pressure_pa,
             inlet_node_temperature_k=inlet_node_temperature_k,
             resistance_boundary_temperature_k=resistance_boundary_temperature_k,
+            p4_port1_remote_orifice_boundary_pressure_pa=(
+                p4_port1_remote_orifice_boundary_pressure_pa
+            ),
+            p4_port1_remote_orifice_boundary_temperature_k=(
+                p4_port1_remote_orifice_boundary_temperature_k
+            ),
+            p4_port3_remote_orifice_boundary_pressure_pa=(
+                p4_port3_remote_orifice_boundary_pressure_pa
+            ),
+            p4_port3_remote_orifice_boundary_temperature_k=(
+                p4_port3_remote_orifice_boundary_temperature_k
+            ),
         )
         run_config = config or SolveIVPConfig(t_stop=1.0e-4, max_step=1.0e-5)
         return integrate_ode(

PythonModels/systems/test_mql_closure.py

@@ -203,10 +203,20 @@ class TestMqlPn3P4NodeChamberSegmentComponents:
     p4_port1_remote_node: TestMqlPneumaticNode4
     p4_port1_remote_primary_line: AmesimPnl0001Pipe
     p4_port1_remote_primary_chamber: AmesimPneumaticVolume
+    p4_port1_remote_port1_line: AmesimPnl0002Pipe
+    p4_port1_far_node: TestMqlPneumaticNode4
+    p4_port1_far_primary_line: AmesimPnl0001Pipe
+    p4_port1_far_primary_chamber: AmesimPneumaticVolume
+    p4_port1_remote_orifice: AmesimPneumaticOrifice
     p4_port3_line: AmesimPnl0002Pipe
     p4_port3_remote_node: TestMqlPneumaticNode4
     p4_port3_remote_primary_line: AmesimPnl0001Pipe
     p4_port3_remote_primary_chamber: AmesimPneumaticVolume
+    p4_port3_remote_port3_line: AmesimPnl0002Pipe
+    p4_port3_far_node: TestMqlPneumaticNode4
+    p4_port3_far_primary_line: AmesimPnl0001Pipe
+    p4_port3_far_primary_chamber: AmesimPneumaticVolume
+    p4_port3_remote_orifice: AmesimPneumaticOrifice
     volume: AmesimPneumaticVolume
     inlet_orifice: AmesimPneumaticOrifice
     outlet_orifice: AmesimPneumaticOrifice
@@ -226,15 +236,25 @@ class TestMqlPn3P4NodeChamberSegmentSnapshot:
     p4_port1_line: ThermodynamicProperties
     p4_port1_remote_primary_line: ThermodynamicProperties
     p4_port1_remote_primary_chamber: ThermodynamicProperties
+    p4_port1_remote_port1_line: ThermodynamicProperties
+    p4_port1_far_primary_line: ThermodynamicProperties
+    p4_port1_far_primary_chamber: ThermodynamicProperties
+    p4_port1_remote_orifice_boundary: ThermodynamicProperties
     p4_port3_line: ThermodynamicProperties
     p4_port3_remote_primary_line: ThermodynamicProperties
     p4_port3_remote_primary_chamber: ThermodynamicProperties
+    p4_port3_remote_port3_line: ThermodynamicProperties
+    p4_port3_far_primary_line: ThermodynamicProperties
+    p4_port3_far_primary_chamber: ThermodynamicProperties
+    p4_port3_remote_orifice_boundary: ThermodynamicProperties
     inlet_node: ThermodynamicProperties
     resistance_boundary: ThermodynamicProperties
     node_balance: TestMqlPneumaticNode3Balance
     p4_balance: TestMqlPneumaticNode4Balance
     p4_port1_remote_balance: TestMqlPneumaticNode4Balance
+    p4_port1_far_balance: TestMqlPneumaticNode4Balance
     p4_port3_remote_balance: TestMqlPneumaticNode4Balance
+    p4_port3_far_balance: TestMqlPneumaticNode4Balance
     inlet_node_to_line_flow: float
     inlet_line_to_chamber_flow: float
     outlet_node_to_line_flow: float
@@ -249,10 +269,20 @@ class TestMqlPn3P4NodeChamberSegmentSnapshot:
     p4_port1_remote_node_to_line_flow: float
     p4_port1_remote_chamber_to_line_flow: float
     p4_port1_remote_node_to_primary_line_flow: float
+    p4_port1_remote_to_port1_line_flow: float
+    p4_port1_far_node_to_line_flow: float
+    p4_port1_far_chamber_to_line_flow: float
+    p4_port1_far_node_to_primary_line_flow: float
+    p4_port1_remote_orifice_to_node_flow: float
     p4_to_port3_line_flow: float
     p4_port3_remote_node_to_line_flow: float
     p4_port3_remote_chamber_to_line_flow: float
     p4_port3_remote_node_to_primary_line_flow: float
+    p4_port3_remote_to_port3_line_flow: float
+    p4_port3_far_node_to_line_flow: float
+    p4_port3_far_chamber_to_line_flow: float
+    p4_port3_far_node_to_primary_line_flow: float
+    p4_port3_remote_orifice_to_node_flow: float
 
 
 class TestMqlPn3P4NodeChamberSegmentClosure:
@@ -269,10 +299,14 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
         components: TestMqlPn3P4NodeChamberSegmentComponents,
         inlet_node: TestMqlPneumaticBoundaryCondition,
         resistance_boundary: TestMqlPneumaticBoundaryCondition,
+        p4_port1_remote_orifice_boundary: TestMqlPneumaticBoundaryCondition,
+        p4_port3_remote_orifice_boundary: TestMqlPneumaticBoundaryCondition,
     ) -> None:
         self.components = components
         self.inlet_node = inlet_node
         self.resistance_boundary = resistance_boundary
+        self.p4_port1_remote_orifice_boundary = p4_port1_remote_orifice_boundary
+        self.p4_port3_remote_orifice_boundary = p4_port3_remote_orifice_boundary
 
     def initial_state_vector(self) -> list[float]:
         return [
@@ -285,14 +319,20 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             *self.components.p4_port1_line.get_state_vector(),
             *self.components.p4_port1_remote_primary_line.get_state_vector(),
             *self.components.p4_port1_remote_primary_chamber.get_state_vector(),
+            *self.components.p4_port1_remote_port1_line.get_state_vector(),
+            *self.components.p4_port1_far_primary_line.get_state_vector(),
+            *self.components.p4_port1_far_primary_chamber.get_state_vector(),
             *self.components.p4_port3_line.get_state_vector(),
             *self.components.p4_port3_remote_primary_line.get_state_vector(),
             *self.components.p4_port3_remote_primary_chamber.get_state_vector(),
+            *self.components.p4_port3_remote_port3_line.get_state_vector(),
+            *self.components.p4_port3_far_primary_line.get_state_vector(),
+            *self.components.p4_port3_far_primary_chamber.get_state_vector(),
         ]
 
     def apply_state_vector(self, values: list[float]) -> None:
-        if len(values) != 26:
+        if len(values) != 38:
-            raise ValueError("PN3/P4 node chamber segment state vector requires twenty-six values")
+            raise ValueError("PN3/P4 node chamber segment state vector requires thirty-eight values")
         self.components.inlet_line.set_state_vector(values[:2])
         self.components.volume.set_state_vector(values[2:4])
         self.components.outlet_line.set_state_vector(values[4:6])
@@ -302,9 +342,15 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
         self.components.p4_port1_line.set_state_vector(values[14:16])
         self.components.p4_port1_remote_primary_line.set_state_vector(values[16:18])
         self.components.p4_port1_remote_primary_chamber.set_state_vector(values[18:20])
-        self.components.p4_port3_line.set_state_vector(values[20:22])
+        self.components.p4_port1_remote_port1_line.set_state_vector(values[20:22])
-        self.components.p4_port3_remote_primary_line.set_state_vector(values[22:24])
+        self.components.p4_port1_far_primary_line.set_state_vector(values[22:24])
-        self.components.p4_port3_remote_primary_chamber.set_state_vector(values[24:])
+        self.components.p4_port1_far_primary_chamber.set_state_vector(values[24:26])
+        self.components.p4_port3_line.set_state_vector(values[26:28])
+        self.components.p4_port3_remote_primary_line.set_state_vector(values[28:30])
+        self.components.p4_port3_remote_primary_chamber.set_state_vector(values[30:32])
+        self.components.p4_port3_remote_port3_line.set_state_vector(values[32:34])
+        self.components.p4_port3_far_primary_line.set_state_vector(values[34:36])
+        self.components.p4_port3_far_primary_chamber.set_state_vector(values[36:])
 
     def snapshot(
         self,
@@ -326,6 +372,13 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
         p4_port1_remote_primary_chamber = (
             self.components.p4_port1_remote_primary_chamber.properties()
         )
+        p4_port1_remote_port1_line = (
+            self.components.p4_port1_remote_port1_line.properties()
+        )
+        p4_port1_far_primary_line = self.components.p4_port1_far_primary_line.properties()
+        p4_port1_far_primary_chamber = (
+            self.components.p4_port1_far_primary_chamber.properties()
+        )
         p4_port3_line = self.components.p4_port3_line.properties()
         p4_port3_remote_primary_line = (
             self.components.p4_port3_remote_primary_line.properties()
@@ -333,10 +386,27 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
         p4_port3_remote_primary_chamber = (
             self.components.p4_port3_remote_primary_chamber.properties()
         )
+        p4_port3_remote_port3_line = (
+            self.components.p4_port3_remote_port3_line.properties()
+        )
+        p4_port3_far_primary_line = self.components.p4_port3_far_primary_line.properties()
+        p4_port3_far_primary_chamber = (
+            self.components.p4_port3_far_primary_chamber.properties()
+        )
         inlet_node = self.inlet_node.properties(self.components.inlet_line.gas)
         resistance_boundary = self.resistance_boundary.properties(
             self.components.node_resistance.gas
         )
+        p4_port1_remote_orifice_boundary = (
+            self.p4_port1_remote_orifice_boundary.properties(
+                self.components.p4_port1_remote_orifice.gas
+            )
+        )
+        p4_port3_remote_orifice_boundary = (
+            self.p4_port3_remote_orifice_boundary.properties(
+                self.components.p4_port3_remote_orifice.gas
+            )
+        )
         inlet_node_to_line_flow = self.components.inlet_line.resistance_mass_flow(
             port_1_pressure_pa=inlet_node.p,
             port_1_temperature_k=inlet_node.T,
@@ -407,6 +477,29 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
                 port_1_temperature_k=p4_port1_remote_primary_chamber.T,
             )
         )
+        p4_port1_remote_to_port1_line_flow = (
+            self.components.p4_port1_remote_port1_line.port_mass_flow(
+                port_pressure_pa=p4_port1_remote_primary_line.p,
+                port_temperature_k=p4_port1_remote_primary_line.T,
+            )
+        )
+        p4_port1_far_node_to_line_flow = (
+            self.components.p4_port1_remote_port1_line.port_mass_flow(
+                port_pressure_pa=p4_port1_far_primary_line.p,
+                port_temperature_k=p4_port1_far_primary_line.T,
+            )
+        )
+        p4_port1_far_chamber_to_line_flow = (
+            self.components.p4_port1_far_primary_line.resistance_mass_flow(
+                port_1_pressure_pa=p4_port1_far_primary_chamber.p,
+                port_1_temperature_k=p4_port1_far_primary_chamber.T,
+            )
+        )
+        p4_port1_remote_orifice_to_node_flow = self._boundary_to_p4_flow(
+            boundary=p4_port1_remote_orifice_boundary,
+            p4_boundary=p4_port1_remote_primary_line,
+            orifice=self.components.p4_port1_remote_orifice,
+        )
         p4_to_port3_line_flow = self.components.p4_port3_line.port_mass_flow(
             port_pressure_pa=p4_primary_line.p,
             port_temperature_k=p4_primary_line.T,
@@ -423,6 +516,29 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
                 port_1_temperature_k=p4_port3_remote_primary_chamber.T,
             )
         )
+        p4_port3_remote_to_port3_line_flow = (
+            self.components.p4_port3_remote_port3_line.port_mass_flow(
+                port_pressure_pa=p4_port3_remote_primary_line.p,
+                port_temperature_k=p4_port3_remote_primary_line.T,
+            )
+        )
+        p4_port3_far_node_to_line_flow = (
+            self.components.p4_port3_remote_port3_line.port_mass_flow(
+                port_pressure_pa=p4_port3_far_primary_line.p,
+                port_temperature_k=p4_port3_far_primary_line.T,
+            )
+        )
+        p4_port3_far_chamber_to_line_flow = (
+            self.components.p4_port3_far_primary_line.resistance_mass_flow(
+                port_1_pressure_pa=p4_port3_far_primary_chamber.p,
+                port_1_temperature_k=p4_port3_far_primary_chamber.T,
+            )
+        )
+        p4_port3_remote_orifice_to_node_flow = self._boundary_to_p4_flow(
+            boundary=p4_port3_remote_orifice_boundary,
+            p4_boundary=p4_port3_remote_primary_line,
+            orifice=self.components.p4_port3_remote_orifice,
+        )
         p4_balance = self.components.p4_node.balance(
             port_2_temperature_k=p4_primary_line.T,
             port_2_pressure_pa=p4_primary_line.p,
@@ -449,20 +565,45 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
         p4_port1_remote_balance = self.components.p4_port1_remote_node.balance(
             port_2_temperature_k=p4_port1_remote_primary_line.T,
             port_2_pressure_pa=p4_port1_remote_primary_line.p,
-            port_1_enthalpy_flow_w=0.0,
+            port_1_enthalpy_flow_w=self._enthalpy_flow_from_node(
-            port_1_mass_flow_g_s=0.0,
+                flow_kg_s=p4_port1_remote_to_port1_line_flow,
+                node_h=p4_port1_remote_primary_line.h,
+                connected_h=p4_port1_remote_port1_line.h,
+            ),
+            port_1_mass_flow_g_s=-p4_port1_remote_to_port1_line_flow * 1.0e3,
             port_3_enthalpy_flow_w=self._enthalpy_flow_from_node(
                 flow_kg_s=p4_port1_remote_node_to_line_flow,
                 node_h=p4_port1_remote_primary_line.h,
                 connected_h=p4_port1_line.h,
             ),
             port_3_mass_flow_g_s=-p4_port1_remote_node_to_line_flow * 1.0e3,
-            port_4_enthalpy_flow_w=0.0,
+            port_4_enthalpy_flow_w=self._enthalpy_flow_from_node(
-            port_4_mass_flow_g_s=0.0,
+                flow_kg_s=p4_port1_remote_orifice_to_node_flow,
+                node_h=p4_port1_remote_orifice_boundary.h,
+                connected_h=p4_port1_remote_primary_line.h,
+            ),
+            port_4_mass_flow_g_s=p4_port1_remote_orifice_to_node_flow * 1.0e3,
         )
         p4_port1_remote_node_to_primary_line_flow = (
             p4_port1_remote_balance.port_2_mass_flow_g_s * 1.0e-3
         )
+        p4_port1_far_balance = self.components.p4_port1_far_node.balance(
+            port_2_temperature_k=p4_port1_far_primary_line.T,
+            port_2_pressure_pa=p4_port1_far_primary_line.p,
+            port_1_enthalpy_flow_w=0.0,
+            port_1_mass_flow_g_s=0.0,
+            port_3_enthalpy_flow_w=self._enthalpy_flow_from_node(
+                flow_kg_s=p4_port1_far_node_to_line_flow,
+                node_h=p4_port1_far_primary_line.h,
+                connected_h=p4_port1_remote_port1_line.h,
+            ),
+            port_3_mass_flow_g_s=-p4_port1_far_node_to_line_flow * 1.0e3,
+            port_4_enthalpy_flow_w=0.0,
+            port_4_mass_flow_g_s=0.0,
+        )
+        p4_port1_far_node_to_primary_line_flow = (
+            p4_port1_far_balance.port_2_mass_flow_g_s * 1.0e-3
+        )
         p4_port3_remote_balance = self.components.p4_port3_remote_node.balance(
             port_2_temperature_k=p4_port3_remote_primary_line.T,
             port_2_pressure_pa=p4_port3_remote_primary_line.p,
@@ -472,13 +613,38 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
                 connected_h=p4_port3_line.h,
             ),
             port_1_mass_flow_g_s=-p4_port3_remote_node_to_line_flow * 1.0e3,
+            port_3_enthalpy_flow_w=self._enthalpy_flow_from_node(
+                flow_kg_s=p4_port3_remote_to_port3_line_flow,
+                node_h=p4_port3_remote_primary_line.h,
+                connected_h=p4_port3_remote_port3_line.h,
+            ),
+            port_3_mass_flow_g_s=-p4_port3_remote_to_port3_line_flow * 1.0e3,
+            port_4_enthalpy_flow_w=self._enthalpy_flow_from_node(
+                flow_kg_s=p4_port3_remote_orifice_to_node_flow,
+                node_h=p4_port3_remote_orifice_boundary.h,
+                connected_h=p4_port3_remote_primary_line.h,
+            ),
+            port_4_mass_flow_g_s=p4_port3_remote_orifice_to_node_flow * 1.0e3,
+        )
+        p4_port3_remote_node_to_primary_line_flow = (
+            p4_port3_remote_balance.port_2_mass_flow_g_s * 1.0e-3
+        )
+        p4_port3_far_balance = self.components.p4_port3_far_node.balance(
+            port_2_temperature_k=p4_port3_far_primary_line.T,
+            port_2_pressure_pa=p4_port3_far_primary_line.p,
+            port_1_enthalpy_flow_w=self._enthalpy_flow_from_node(
+                flow_kg_s=p4_port3_far_node_to_line_flow,
+                node_h=p4_port3_far_primary_line.h,
+                connected_h=p4_port3_remote_port3_line.h,
+            ),
+            port_1_mass_flow_g_s=-p4_port3_far_node_to_line_flow * 1.0e3,
             port_3_enthalpy_flow_w=0.0,
             port_3_mass_flow_g_s=0.0,
             port_4_enthalpy_flow_w=0.0,
             port_4_mass_flow_g_s=0.0,
         )
-        p4_port3_remote_node_to_primary_line_flow = (
+        p4_port3_far_node_to_primary_line_flow = (
-            p4_port3_remote_balance.port_2_mass_flow_g_s * 1.0e-3
+            p4_port3_far_balance.port_2_mass_flow_g_s * 1.0e-3
         )
 
         snapshot = TestMqlPn3P4NodeChamberSegmentSnapshot(
@@ -493,15 +659,25 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             p4_port1_line=p4_port1_line,
             p4_port1_remote_primary_line=p4_port1_remote_primary_line,
             p4_port1_remote_primary_chamber=p4_port1_remote_primary_chamber,
+            p4_port1_remote_port1_line=p4_port1_remote_port1_line,
+            p4_port1_far_primary_line=p4_port1_far_primary_line,
+            p4_port1_far_primary_chamber=p4_port1_far_primary_chamber,
+            p4_port1_remote_orifice_boundary=p4_port1_remote_orifice_boundary,
             p4_port3_line=p4_port3_line,
             p4_port3_remote_primary_line=p4_port3_remote_primary_line,
             p4_port3_remote_primary_chamber=p4_port3_remote_primary_chamber,
+            p4_port3_remote_port3_line=p4_port3_remote_port3_line,
+            p4_port3_far_primary_line=p4_port3_far_primary_line,
+            p4_port3_far_primary_chamber=p4_port3_far_primary_chamber,
+            p4_port3_remote_orifice_boundary=p4_port3_remote_orifice_boundary,
             inlet_node=inlet_node,
             resistance_boundary=resistance_boundary,
             node_balance=node_balance,
             p4_balance=p4_balance,
             p4_port1_remote_balance=p4_port1_remote_balance,
+            p4_port1_far_balance=p4_port1_far_balance,
             p4_port3_remote_balance=p4_port3_remote_balance,
+            p4_port3_far_balance=p4_port3_far_balance,
             inlet_node_to_line_flow=inlet_node_to_line_flow,
             inlet_line_to_chamber_flow=inlet_line_to_chamber_flow,
             outlet_node_to_line_flow=outlet_node_to_line_flow,
@@ -518,12 +694,26 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             p4_port1_remote_node_to_primary_line_flow=(
                 p4_port1_remote_node_to_primary_line_flow
             ),
+            p4_port1_remote_to_port1_line_flow=p4_port1_remote_to_port1_line_flow,
+            p4_port1_far_node_to_line_flow=p4_port1_far_node_to_line_flow,
+            p4_port1_far_chamber_to_line_flow=p4_port1_far_chamber_to_line_flow,
+            p4_port1_far_node_to_primary_line_flow=(
+                p4_port1_far_node_to_primary_line_flow
+            ),
+            p4_port1_remote_orifice_to_node_flow=p4_port1_remote_orifice_to_node_flow,
             p4_to_port3_line_flow=p4_to_port3_line_flow,
             p4_port3_remote_node_to_line_flow=p4_port3_remote_node_to_line_flow,
             p4_port3_remote_chamber_to_line_flow=p4_port3_remote_chamber_to_line_flow,
             p4_port3_remote_node_to_primary_line_flow=(
                 p4_port3_remote_node_to_primary_line_flow
             ),
+            p4_port3_remote_to_port3_line_flow=p4_port3_remote_to_port3_line_flow,
+            p4_port3_far_node_to_line_flow=p4_port3_far_node_to_line_flow,
+            p4_port3_far_chamber_to_line_flow=p4_port3_far_chamber_to_line_flow,
+            p4_port3_far_node_to_primary_line_flow=(
+                p4_port3_far_node_to_primary_line_flow
+            ),
+            p4_port3_remote_orifice_to_node_flow=p4_port3_remote_orifice_to_node_flow,
         )
         self._write_port_states(snapshot)
         return snapshot
@@ -554,6 +744,16 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             orifice=orifice,
         )
 
+    @staticmethod
+    def _boundary_to_p4_flow(
+        *,
+        boundary: ThermodynamicProperties,
+        p4_boundary: ThermodynamicProperties,
+        orifice: AmesimPneumaticOrifice,
+    ) -> float:
+        upstream_temperature = boundary.T if boundary.p >= p4_boundary.p else p4_boundary.T
+        return orifice.mass_flow(boundary.p, p4_boundary.p, upstream_temperature)
+
     @staticmethod
     def _port(
         component: AmesimPneumaticVolume | AmesimPneumaticOrifice,
@@ -626,6 +826,41 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             snapshot.p4_port1_remote_primary_chamber.h
         )
 
+        p4_port1_remote_port1_line = self.components.p4_port1_remote_port1_line
+        p4_port1_remote_port1_line.port_1.p = snapshot.p4_port1_remote_primary_line.p
+        p4_port1_remote_port1_line.port_1.m_flow = (
+            snapshot.p4_port1_remote_to_port1_line_flow
+        )
+        p4_port1_remote_port1_line.port_1.h_outflow = (
+            snapshot.p4_port1_remote_port1_line.h
+        )
+        p4_port1_remote_port1_line.port_2.p = snapshot.p4_port1_far_primary_line.p
+        p4_port1_remote_port1_line.port_2.m_flow = snapshot.p4_port1_far_node_to_line_flow
+        p4_port1_remote_port1_line.port_2.h_outflow = (
+            snapshot.p4_port1_remote_port1_line.h
+        )
+
+        p4_port1_far_primary_line = self.components.p4_port1_far_primary_line
+        p4_port1_far_primary_line.port_1.p = snapshot.p4_port1_far_primary_chamber.p
+        p4_port1_far_primary_line.port_1.m_flow = snapshot.p4_port1_far_chamber_to_line_flow
+        p4_port1_far_primary_line.port_1.h_outflow = snapshot.p4_port1_far_primary_line.h
+        p4_port1_far_primary_line.port_2.p = snapshot.p4_port1_far_primary_line.p
+        p4_port1_far_primary_line.port_2.m_flow = snapshot.p4_port1_far_node_to_primary_line_flow
+        p4_port1_far_primary_line.port_2.h_outflow = snapshot.p4_port1_far_primary_line.h
+
+        p4_port1_far_primary_chamber = self.components.p4_port1_far_primary_chamber
+        p4_port1_far_primary_chamber.port_a.p = snapshot.p4_port1_far_primary_chamber.p
+        p4_port1_far_primary_chamber.port_a.m_flow = -snapshot.p4_port1_far_chamber_to_line_flow
+        p4_port1_far_primary_chamber.port_a.h_outflow = snapshot.p4_port1_far_primary_chamber.h
+
+        p4_port1_remote_orifice = self.components.p4_port1_remote_orifice
+        p4_port1_remote_orifice.port_a.p = snapshot.p4_port1_remote_orifice_boundary.p
+        p4_port1_remote_orifice.port_a.m_flow = snapshot.p4_port1_remote_orifice_to_node_flow
+        p4_port1_remote_orifice.port_a.h_outflow = snapshot.p4_port1_remote_orifice_boundary.h
+        p4_port1_remote_orifice.port_b.p = snapshot.p4_port1_remote_primary_line.p
+        p4_port1_remote_orifice.port_b.m_flow = -snapshot.p4_port1_remote_orifice_to_node_flow
+        p4_port1_remote_orifice.port_b.h_outflow = snapshot.p4_port1_remote_primary_line.h
+
         p4_port3_line = self.components.p4_port3_line
         p4_port3_line.port_1.p = snapshot.p4_port3_remote_primary_line.p
         p4_port3_line.port_1.m_flow = snapshot.p4_port3_remote_node_to_line_flow
@@ -659,6 +894,41 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             snapshot.p4_port3_remote_primary_chamber.h
         )
 
+        p4_port3_remote_port3_line = self.components.p4_port3_remote_port3_line
+        p4_port3_remote_port3_line.port_1.p = snapshot.p4_port3_far_primary_line.p
+        p4_port3_remote_port3_line.port_1.m_flow = snapshot.p4_port3_far_node_to_line_flow
+        p4_port3_remote_port3_line.port_1.h_outflow = (
+            snapshot.p4_port3_remote_port3_line.h
+        )
+        p4_port3_remote_port3_line.port_2.p = snapshot.p4_port3_remote_primary_line.p
+        p4_port3_remote_port3_line.port_2.m_flow = (
+            snapshot.p4_port3_remote_to_port3_line_flow
+        )
+        p4_port3_remote_port3_line.port_2.h_outflow = (
+            snapshot.p4_port3_remote_port3_line.h
+        )
+
+        p4_port3_far_primary_line = self.components.p4_port3_far_primary_line
+        p4_port3_far_primary_line.port_1.p = snapshot.p4_port3_far_primary_chamber.p
+        p4_port3_far_primary_line.port_1.m_flow = snapshot.p4_port3_far_chamber_to_line_flow
+        p4_port3_far_primary_line.port_1.h_outflow = snapshot.p4_port3_far_primary_line.h
+        p4_port3_far_primary_line.port_2.p = snapshot.p4_port3_far_primary_line.p
+        p4_port3_far_primary_line.port_2.m_flow = snapshot.p4_port3_far_node_to_primary_line_flow
+        p4_port3_far_primary_line.port_2.h_outflow = snapshot.p4_port3_far_primary_line.h
+
+        p4_port3_far_primary_chamber = self.components.p4_port3_far_primary_chamber
+        p4_port3_far_primary_chamber.port_a.p = snapshot.p4_port3_far_primary_chamber.p
+        p4_port3_far_primary_chamber.port_a.m_flow = -snapshot.p4_port3_far_chamber_to_line_flow
+        p4_port3_far_primary_chamber.port_a.h_outflow = snapshot.p4_port3_far_primary_chamber.h
+
+        p4_port3_remote_orifice = self.components.p4_port3_remote_orifice
+        p4_port3_remote_orifice.port_a.p = snapshot.p4_port3_remote_orifice_boundary.p
+        p4_port3_remote_orifice.port_a.m_flow = snapshot.p4_port3_remote_orifice_to_node_flow
+        p4_port3_remote_orifice.port_a.h_outflow = snapshot.p4_port3_remote_orifice_boundary.h
+        p4_port3_remote_orifice.port_b.p = snapshot.p4_port3_remote_primary_line.p
+        p4_port3_remote_orifice.port_b.m_flow = -snapshot.p4_port3_remote_orifice_to_node_flow
+        p4_port3_remote_orifice.port_b.h_outflow = snapshot.p4_port3_remote_primary_line.h
+
     def rhs(self, state_vector: list[float]) -> list[float]:
         snapshot = self.snapshot(state_vector)
         base_rhs = TestMqlPn3NodeChamberSegmentClosure.rhs(self, state_vector)[:10]
@@ -708,6 +978,31 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
                 internal_h=snapshot.p4_port1_remote_primary_chamber.h,
             )
         )
+        p4_port1_remote_port1_derivative = (
+            self.components.p4_port1_remote_port1_line.derivatives_from_connections(
+                port_1_m_flow=snapshot.p4_port1_remote_to_port1_line_flow,
+                connected_h_1=snapshot.p4_port1_remote_primary_line.h,
+                port_2_m_flow=snapshot.p4_port1_far_node_to_line_flow,
+                connected_h_2=snapshot.p4_port1_far_primary_line.h,
+            )
+        )
+        p4_port1_far_primary_derivative = (
+            self.components.p4_port1_far_primary_line.derivatives_from_connections(
+                port_1_m_flow=snapshot.p4_port1_far_chamber_to_line_flow,
+                connected_h_1=snapshot.p4_port1_far_primary_chamber.h,
+                port_2_m_flow=snapshot.p4_port1_far_node_to_primary_line_flow,
+                connected_h_2=snapshot.p4_port1_far_primary_line.h,
+            )
+        )
+        p4_port1_far_chamber_derivative = (
+            self.components.p4_port1_far_primary_chamber.derivatives_from_two_connections(
+                port_a_m_flow=-snapshot.p4_port1_far_chamber_to_line_flow,
+                connected_h_a=snapshot.p4_port1_far_primary_line.h,
+                port_b_m_flow=0.0,
+                connected_h_b=snapshot.p4_port1_far_primary_chamber.h,
+                internal_h=snapshot.p4_port1_far_primary_chamber.h,
+            )
+        )
         p4_port3_remote_primary_derivative = (
             self.components.p4_port3_remote_primary_line.derivatives_from_connections(
                 port_1_m_flow=snapshot.p4_port3_remote_chamber_to_line_flow,
@@ -725,6 +1020,31 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
                 internal_h=snapshot.p4_port3_remote_primary_chamber.h,
             )
         )
+        p4_port3_remote_port3_derivative = (
+            self.components.p4_port3_remote_port3_line.derivatives_from_connections(
+                port_1_m_flow=snapshot.p4_port3_far_node_to_line_flow,
+                connected_h_1=snapshot.p4_port3_far_primary_line.h,
+                port_2_m_flow=snapshot.p4_port3_remote_to_port3_line_flow,
+                connected_h_2=snapshot.p4_port3_remote_primary_line.h,
+            )
+        )
+        p4_port3_far_primary_derivative = (
+            self.components.p4_port3_far_primary_line.derivatives_from_connections(
+                port_1_m_flow=snapshot.p4_port3_far_chamber_to_line_flow,
+                connected_h_1=snapshot.p4_port3_far_primary_chamber.h,
+                port_2_m_flow=snapshot.p4_port3_far_node_to_primary_line_flow,
+                connected_h_2=snapshot.p4_port3_far_primary_line.h,
+            )
+        )
+        p4_port3_far_chamber_derivative = (
+            self.components.p4_port3_far_primary_chamber.derivatives_from_two_connections(
+                port_a_m_flow=-snapshot.p4_port3_far_chamber_to_line_flow,
+                connected_h_a=snapshot.p4_port3_far_primary_line.h,
+                port_b_m_flow=0.0,
+                connected_h_b=snapshot.p4_port3_far_primary_chamber.h,
+                internal_h=snapshot.p4_port3_far_primary_chamber.h,
+            )
+        )
         return [
             *base_rhs,
             *p4_primary_derivative.as_vector(),
@@ -732,9 +1052,15 @@ class TestMqlPn3P4NodeChamberSegmentClosure:
             *p4_port1_derivative.as_vector(),
             *p4_port1_remote_primary_derivative.as_vector(),
             *p4_port1_remote_chamber_derivative.as_vector(),
+            *p4_port1_remote_port1_derivative.as_vector(),
+            *p4_port1_far_primary_derivative.as_vector(),
+            *p4_port1_far_chamber_derivative.as_vector(),
             *p4_port3_derivative.as_vector(),
             *p4_port3_remote_primary_derivative.as_vector(),
             *p4_port3_remote_chamber_derivative.as_vector(),
+            *p4_port3_remote_port3_derivative.as_vector(),
+            *p4_port3_far_primary_derivative.as_vector(),
+            *p4_port3_far_chamber_derivative.as_vector(),
         ]
 
 

tests/test_test_mql_pnl0001_segment.py

@@ -275,6 +275,23 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
             closure.components.p4_port1_remote_primary_chamber.name,
             "pn_c1_10",
         )
+        self.assertEqual(
+            closure.components.p4_port1_remote_port1_line.name,
+            "pneumatic_80",
+        )
+        self.assertEqual(closure.components.p4_port1_far_node.alias, "pnnode4_19")
+        self.assertEqual(
+            closure.components.p4_port1_far_primary_line.name,
+            "pneumatic_65",
+        )
+        self.assertEqual(
+            closure.components.p4_port1_far_primary_chamber.name,
+            "pn_c1_11",
+        )
+        self.assertEqual(
+            closure.components.p4_port1_remote_orifice.name,
+            "pn_morifice_10",
+        )
         self.assertEqual(closure.components.p4_port3_line.name, "pneumatic_83")
         self.assertEqual(closure.components.p4_port3_remote_node.alias, "pnnode4_16")
         self.assertEqual(
@@ -285,8 +302,25 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
             closure.components.p4_port3_remote_primary_chamber.name,
             "pn_c1_8",
         )
-        self.assertEqual(len(closure.initial_state_vector()), 26)
+        self.assertEqual(
-        self.assertEqual(len(rhs), 26)
+            closure.components.p4_port3_remote_port3_line.name,
+            "pneumatic_95",
+        )
+        self.assertEqual(closure.components.p4_port3_far_node.alias, "pnnode4_22")
+        self.assertEqual(
+            closure.components.p4_port3_far_primary_line.name,
+            "pneumatic_74",
+        )
+        self.assertEqual(
+            closure.components.p4_port3_far_primary_chamber.name,
+            "pn_c1_15",
+        )
+        self.assertEqual(
+            closure.components.p4_port3_remote_orifice.name,
+            "pn_morifice_1",
+        )
+        self.assertEqual(len(closure.initial_state_vector()), 38)
+        self.assertEqual(len(rhs), 38)
         self.assertAlmostEqual(
             snapshot.p4_balance.pressure_pa,
             snapshot.p4_primary_line.p,
@@ -320,6 +354,27 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
             closure.components.p4_port1_remote_node.alias,
             neighborhood.port_1.remote_node_alias,
         )
+        port1_remote_neighborhood = self.system.p4_node_neighborhood(
+            neighborhood.port_1.remote_node_alias
+        )
+        self.assertEqual(
+            closure.components.p4_port1_remote_port1_line.name,
+            port1_remote_neighborhood.port_1.line_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port1_far_node.alias,
+            port1_remote_neighborhood.port_1.remote_node_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port1_far_primary_line.name,
+            self.system._p4_primary_connection_for_node(
+                port1_remote_neighborhood.port_1.remote_node_alias
+            ).line_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port1_remote_orifice.name,
+            port1_remote_neighborhood.port_4.orifice_alias,
+        )
         self.assertEqual(
             closure.components.p4_port3_line.name,
             neighborhood.port_3.line_alias,
@@ -328,6 +383,27 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
             closure.components.p4_port3_remote_node.alias,
             neighborhood.port_3.remote_node_alias,
         )
+        port3_remote_neighborhood = self.system.p4_node_neighborhood(
+            neighborhood.port_3.remote_node_alias
+        )
+        self.assertEqual(
+            closure.components.p4_port3_remote_port3_line.name,
+            port3_remote_neighborhood.port_3.line_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port3_far_node.alias,
+            port3_remote_neighborhood.port_3.remote_node_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port3_far_primary_line.name,
+            self.system._p4_primary_connection_for_node(
+                port3_remote_neighborhood.port_3.remote_node_alias
+            ).line_alias,
+        )
+        self.assertEqual(
+            closure.components.p4_port3_remote_orifice.name,
+            port3_remote_neighborhood.port_4.orifice_alias,
+        )
         self.assertEqual(
             closure.components.node_orifice.name,
             neighborhood.port_4.orifice_alias,
@@ -367,27 +443,45 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
         )
         self.assertAlmostEqual(
             snapshot.p4_port1_remote_node_to_primary_line_flow
-            + snapshot.p4_port1_remote_node_to_line_flow,
+            + snapshot.p4_port1_remote_node_to_line_flow
+            + snapshot.p4_port1_remote_to_port1_line_flow
+            - snapshot.p4_port1_remote_orifice_to_node_flow,
+            0.0,
+            delta=1.0e-12,
+        )
+        self.assertAlmostEqual(
+            snapshot.p4_port1_far_node_to_primary_line_flow
+            + snapshot.p4_port1_far_node_to_line_flow,
             0.0,
             delta=1.0e-12,
         )
         self.assertAlmostEqual(
             snapshot.p4_port3_remote_node_to_primary_line_flow
-            + snapshot.p4_port3_remote_node_to_line_flow,
+            + snapshot.p4_port3_remote_node_to_line_flow
+            + snapshot.p4_port3_remote_to_port3_line_flow
+            - snapshot.p4_port3_remote_orifice_to_node_flow,
             0.0,
             delta=1.0e-12,
         )
-        mass_derivative_sum = sum(rhs[index] for index in range(0, 26, 2))
+        self.assertAlmostEqual(
+            snapshot.p4_port3_far_node_to_primary_line_flow
+            + snapshot.p4_port3_far_node_to_line_flow,
+            0.0,
+            delta=1.0e-12,
+        )
+        mass_derivative_sum = sum(rhs[index] for index in range(0, 38, 2))
         self.assertAlmostEqual(
             mass_derivative_sum,
             (
                 snapshot.inlet_node_to_line_flow
                 - snapshot.node_to_resistance_flow
+                + snapshot.p4_port1_remote_orifice_to_node_flow
+                + snapshot.p4_port3_remote_orifice_to_node_flow
             ),
             delta=1.0e-12,
         )
 
-    def test_simulates_twenty_six_state_pn3_p4_node_chamber_segment(self) -> None:
+    def test_simulates_thirty_eight_state_pn3_p4_node_chamber_segment(self) -> None:
         solution = self.system.simulate_pn3_p4_node_chamber_segment_from_spec(
             self.spec,
             inlet_node_pressure_pa=15.31e6,
@@ -402,8 +496,8 @@ class TestMqlPn3P4NodeChamberSegmentTests(unittest.TestCase):
 
         self.assertTrue(solution.success)
         self.assertEqual(len(solution.t), 3)
-        self.assertEqual(len(solution.y), 26)
+        self.assertEqual(len(solution.y), 38)
-        self.assertEqual([len(row) for row in solution.y], [3] * 26)
+        self.assertEqual([len(row) for row in solution.y], [3] * 38)
 
 
 if __name__ == "__main__":