实现test_mql PNL0003与PNL00R管路
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@@ -8,7 +8,7 @@ from PythonModels.components.amesim_pneumatic import (
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AmesimPneumaticGas,
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diameter_mm_to_area_m2,
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)
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from PythonModels.core.base import DynamicComponent
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from PythonModels.core.base import AlgebraicComponent, DynamicComponent
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from PythonModels.core.medium import ThermodynamicProperties
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from PythonModels.core.ports import PortState
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from PythonModels.core.state import VolumeState
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@@ -23,7 +23,89 @@ class AmesimPnl0001Diagnostics:
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pressure_drop_pa: float
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class AmesimPnl0001Pipe(DynamicComponent):
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class _DarcyPipeResistanceMixin:
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diameter: float
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length: float
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relative_roughness: float
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area: float
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def _mass_flow_for_pressure_drop(
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self,
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pressure_drop_pa: float,
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*,
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density: float,
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temperature: float,
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) -> float:
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if pressure_drop_pa <= 0.0:
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return 0.0
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upper = 1.0e-9
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while self._darcy_pressure_drop(
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upper,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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upper *= 10.0
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if upper > 1.0e3:
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raise ValueError("unable to bracket pneumatic pipe resistance flow")
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lower = 0.0
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for _ in range(80):
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middle = 0.5 * (lower + upper)
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if self._darcy_pressure_drop(
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middle,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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lower = middle
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else:
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upper = middle
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return 0.5 * (lower + upper)
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def _darcy_pressure_drop(
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self,
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mass_flow_kg_s: float,
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*,
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density: float,
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temperature: float,
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) -> float:
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if mass_flow_kg_s == 0.0:
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return 0.0
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reynolds = self._reynolds_number(mass_flow_kg_s, temperature)
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friction_factor = self._friction_factor(reynolds)
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velocity = mass_flow_kg_s / (density * self.area)
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magnitude = (
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friction_factor
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* (self.length / self.diameter)
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* density
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* velocity
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* velocity
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/ 2.0
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)
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return magnitude if mass_flow_kg_s > 0.0 else -magnitude
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def _reynolds_number(self, mass_flow_kg_s: float, temperature: float) -> float:
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viscosity = helium_dynamic_viscosity(temperature)
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return 4.0 * abs(mass_flow_kg_s) / (pi * self.diameter * viscosity)
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def _friction_factor(self, reynolds_number: float) -> float:
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if reynolds_number <= 0.0:
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return 64_000_000.0
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laminar = 64.0 / reynolds_number
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if reynolds_number <= 2_300.0:
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return laminar
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turbulent = 1.0 / (
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-1.8
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* log10(
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(self.relative_roughness / 3.7) ** 1.11
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+ 6.9 / reynolds_number
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)
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) ** 2
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if reynolds_number >= 4_000.0:
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return turbulent
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fraction = (reynolds_number - 2_300.0) / 1_700.0
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return laminar + fraction * (turbulent - laminar)
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class AmesimPnl0001Pipe(_DarcyPipeResistanceMixin, DynamicComponent):
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"""Physical first-pass implementation of AMESim ``PNL0001`` (C-R).
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Port 2 owns the lumped gas storage. Port 1 is connected through a Darcy
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@@ -193,80 +275,289 @@ class AmesimPnl0001Pipe(DynamicComponent):
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U=port_1_m_flow * inlet_h_1 + port_2_m_flow * inlet_h_2 + heat_flow,
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)
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def _mass_flow_for_pressure_drop(
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self,
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pressure_drop_pa: float,
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*,
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density: float,
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temperature: float,
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) -> float:
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if pressure_drop_pa <= 0.0:
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return 0.0
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upper = 1.0e-9
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while self._darcy_pressure_drop(
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upper,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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upper *= 10.0
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if upper > 1.0e3:
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raise ValueError("unable to bracket PNL0001 resistance flow")
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lower = 0.0
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for _ in range(80):
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middle = 0.5 * (lower + upper)
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if self._darcy_pressure_drop(
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middle,
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density=density,
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temperature=temperature,
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) < pressure_drop_pa:
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lower = middle
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else:
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upper = middle
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return 0.5 * (lower + upper)
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def _darcy_pressure_drop(
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class AmesimPnl0003Pipe(_DarcyPipeResistanceMixin, DynamicComponent):
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"""First-pass AMESim ``PNL0003`` (C-R-C) pipe.
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The two pipe-end compliances are represented as equal half-volume gas
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stores connected by the same auditable Darcy resistance used for PNL0001.
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Center flow is positive from port 1 storage to port 2 storage.
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"""
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state_size = 4
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def __init__(
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self,
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mass_flow_kg_s: float,
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name: str,
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*,
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density: float,
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temperature: float,
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) -> float:
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if mass_flow_kg_s == 0.0:
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diameter_mm: float,
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length_m: float,
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relative_roughness: float,
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polytropic_constant: float = 1.35,
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heat_transfer_coefficient: float = 0.0,
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external_temperature_k: float = 293.15,
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gas: AmesimPneumaticGas = HELIUM_PNEUMATIC_GAS,
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p1_0: float = 101_325.0,
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T1_0: float = 293.15,
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p2_0: float = 101_325.0,
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T2_0: float = 293.15,
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) -> None:
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if diameter_mm <= 0.0:
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raise ValueError("diameter_mm must be positive")
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if length_m <= 0.0:
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raise ValueError("length_m must be positive")
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if relative_roughness < 0.0:
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raise ValueError("relative_roughness must be non-negative")
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if polytropic_constant <= 0.0:
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raise ValueError("polytropic_constant must be positive")
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if heat_transfer_coefficient < 0.0:
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raise ValueError("heat_transfer_coefficient must be non-negative")
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if external_temperature_k <= 0.0:
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raise ValueError("external_temperature_k must be positive")
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super().__init__(name=name)
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self.diameter = diameter_mm * 1.0e-3
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self.length = length_m
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self.relative_roughness = relative_roughness
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self.polytropic_constant = polytropic_constant
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self.heat_transfer_coefficient = heat_transfer_coefficient
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self.external_temperature = external_temperature_k
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self.gas = gas
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self.area = diameter_mm_to_area_m2(diameter_mm)
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self.volume = self.area * self.length
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self.compliance_volume = self.volume / 2.0
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self.heat_transfer_area = pi * self.diameter * self.length
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self.state_1 = self._initial_state(p1_0, T1_0)
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self.state_2 = self._initial_state(p2_0, T2_0)
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self.port_1 = PortState()
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self.port_2 = PortState()
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def _initial_state(self, pressure: float, temperature: float) -> VolumeState:
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rho = self.gas.density(pressure, temperature)
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mass = rho * self.compliance_volume
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return VolumeState(
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m=mass,
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U=mass * self.gas.specific_internal_energy(temperature),
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)
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def get_state_vector(self) -> list[float]:
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return [*self.state_1.as_vector(), *self.state_2.as_vector()]
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def set_state_vector(self, values: list[float]) -> None:
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if len(values) != 4:
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raise ValueError("PNL0003 state vector requires four values")
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self.state_1 = VolumeState.from_vector(values[:2])
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self.state_2 = VolumeState.from_vector(values[2:])
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def properties_1(self) -> ThermodynamicProperties:
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properties = self._properties(self.state_1)
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self.port_1.p = properties.p
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self.port_1.h_outflow = properties.h
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return properties
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def properties_2(self) -> ThermodynamicProperties:
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properties = self._properties(self.state_2)
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self.port_2.p = properties.p
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self.port_2.h_outflow = properties.h
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return properties
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def _properties(self, state: VolumeState) -> ThermodynamicProperties:
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if state.m <= 0.0:
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raise ValueError("pipe mass must stay positive")
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temperature = self.gas.temperature_from_internal_energy(state.U / state.m)
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density = state.m / self.compliance_volume
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pressure = self.gas.pressure(density, temperature)
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return ThermodynamicProperties(
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p=pressure,
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T=temperature,
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rho=density,
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u=state.U / state.m,
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h=self.gas.specific_enthalpy(temperature),
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)
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def gas_mass_g(self) -> float:
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return (self.state_1.m + self.state_2.m) * 1.0e3
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def resistance_mass_flow(self) -> float:
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"""Return center mass flow from port 1 storage to port 2 storage."""
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port_1 = self.properties_1()
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port_2 = self.properties_2()
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pressure_difference = port_1.p - port_2.p
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if pressure_difference == 0.0:
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return 0.0
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upstream = port_1 if pressure_difference > 0.0 else port_2
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magnitude = self._mass_flow_for_pressure_drop(
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abs(pressure_difference),
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density=upstream.rho,
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temperature=upstream.T,
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)
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return magnitude if pressure_difference > 0.0 else -magnitude
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def diagnostics(
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self,
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*,
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mass_flow_kg_s: float,
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temperature_k: float | None = None,
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) -> AmesimPnl0001Diagnostics:
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port_1 = self.properties_1()
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port_2 = self.properties_2()
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temperature = temperature_k or (port_1.T if mass_flow_kg_s >= 0.0 else port_2.T)
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density = port_1.rho if mass_flow_kg_s >= 0.0 else port_2.rho
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reynolds = self._reynolds_number(mass_flow_kg_s, temperature)
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friction_factor = self._friction_factor(reynolds)
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velocity = mass_flow_kg_s / (density * self.area)
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magnitude = (
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friction_factor
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* (self.length / self.diameter)
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* density
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* velocity
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* velocity
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pressure_drop = self._darcy_pressure_drop(
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mass_flow_kg_s,
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density=density,
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temperature=temperature,
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)
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return AmesimPnl0001Diagnostics(
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mass_flow_kg_s=mass_flow_kg_s,
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reynolds_number=reynolds,
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gas_velocity_m_s=velocity,
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friction_factor=friction_factor,
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pressure_drop_pa=pressure_drop,
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)
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def derivatives_from_connections(
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self,
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*,
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port_1_m_flow: float,
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connected_h_1: float,
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port_2_m_flow: float,
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connected_h_2: float,
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) -> tuple[VolumeState, VolumeState]:
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port_1 = self.properties_1()
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port_2 = self.properties_2()
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center_flow = self.resistance_mass_flow()
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heat_flow_each = (
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self.heat_transfer_coefficient
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* self.heat_transfer_area
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* (self.external_temperature - 0.5 * (port_1.T + port_2.T))
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/ 2.0
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)
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return magnitude if mass_flow_kg_s > 0.0 else -magnitude
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port_1_external_h = self.connection_inlet_enthalpy(
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port_m_flow=port_1_m_flow,
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connected_h=connected_h_1,
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internal_h=port_1.h,
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)
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port_2_external_h = self.connection_inlet_enthalpy(
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port_m_flow=port_2_m_flow,
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connected_h=connected_h_2,
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internal_h=port_2.h,
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)
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port_1_center_h = self.connection_inlet_enthalpy(
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port_m_flow=-center_flow,
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connected_h=port_2.h,
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internal_h=port_1.h,
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)
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port_2_center_h = self.connection_inlet_enthalpy(
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port_m_flow=center_flow,
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connected_h=port_1.h,
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internal_h=port_2.h,
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)
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return (
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VolumeState(
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m=port_1_m_flow - center_flow,
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U=(
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port_1_m_flow * port_1_external_h
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- center_flow * port_1_center_h
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+ heat_flow_each
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),
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),
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VolumeState(
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m=port_2_m_flow + center_flow,
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U=(
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port_2_m_flow * port_2_external_h
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+ center_flow * port_2_center_h
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+ heat_flow_each
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),
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),
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)
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def _reynolds_number(self, mass_flow_kg_s: float, temperature: float) -> float:
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viscosity = helium_dynamic_viscosity(temperature)
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return 4.0 * abs(mass_flow_kg_s) / (pi * self.diameter * viscosity)
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def _friction_factor(self, reynolds_number: float) -> float:
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if reynolds_number <= 0.0:
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return 64_000_000.0
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laminar = 64.0 / reynolds_number
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if reynolds_number <= 2_300.0:
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return laminar
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turbulent = 1.0 / (
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-1.8
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* log10(
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(self.relative_roughness / 3.7) ** 1.11
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+ 6.9 / reynolds_number
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)
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) ** 2
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if reynolds_number >= 4_000.0:
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return turbulent
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fraction = (reynolds_number - 2_300.0) / 1_700.0
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return laminar + fraction * (turbulent - laminar)
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class AmesimPnl00rPipe(_DarcyPipeResistanceMixin, AlgebraicComponent):
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"""First-pass AMESim ``PNL00R`` (R) pipe resistance."""
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def __init__(
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self,
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name: str,
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*,
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diameter_mm: float,
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length_m: float,
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relative_roughness: float,
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gas: AmesimPneumaticGas = HELIUM_PNEUMATIC_GAS,
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) -> None:
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if diameter_mm <= 0.0:
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raise ValueError("diameter_mm must be positive")
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if length_m <= 0.0:
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raise ValueError("length_m must be positive")
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if relative_roughness < 0.0:
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raise ValueError("relative_roughness must be non-negative")
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super().__init__(name=name)
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self.diameter = diameter_mm * 1.0e-3
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self.length = length_m
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self.relative_roughness = relative_roughness
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self.gas = gas
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self.area = diameter_mm_to_area_m2(diameter_mm)
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self.port_1 = PortState()
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self.port_2 = PortState()
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def mass_flow(
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self,
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*,
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port_1_pressure_pa: float,
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port_1_temperature_k: float,
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port_2_pressure_pa: float,
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port_2_temperature_k: float,
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) -> float:
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"""Return mass flow from port 1 to port 2 in kg/s."""
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if port_1_pressure_pa <= 0.0 or port_2_pressure_pa <= 0.0:
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raise ValueError("port pressures must be positive")
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if port_1_temperature_k <= 0.0 or port_2_temperature_k <= 0.0:
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raise ValueError("port temperatures must be positive")
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pressure_difference = port_1_pressure_pa - port_2_pressure_pa
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if pressure_difference == 0.0:
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return 0.0
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upstream_pressure = max(port_1_pressure_pa, port_2_pressure_pa)
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upstream_temperature = (
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port_1_temperature_k
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if pressure_difference > 0.0
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else port_2_temperature_k
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)
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density = self.gas.density(upstream_pressure, upstream_temperature)
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magnitude = self._mass_flow_for_pressure_drop(
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abs(pressure_difference),
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density=density,
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temperature=upstream_temperature,
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)
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return magnitude if pressure_difference > 0.0 else -magnitude
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def diagnostics(
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self,
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*,
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mass_flow_kg_s: float,
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pressure_pa: float,
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temperature_k: float,
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) -> AmesimPnl0001Diagnostics:
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density = self.gas.density(pressure_pa, temperature_k)
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reynolds = self._reynolds_number(mass_flow_kg_s, temperature_k)
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friction_factor = self._friction_factor(reynolds)
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velocity = mass_flow_kg_s / (density * self.area)
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pressure_drop = self._darcy_pressure_drop(
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mass_flow_kg_s,
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density=density,
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temperature=temperature_k,
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)
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return AmesimPnl0001Diagnostics(
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mass_flow_kg_s=mass_flow_kg_s,
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reynolds_number=reynolds,
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gas_velocity_m_s=velocity,
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friction_factor=friction_factor,
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pressure_drop_pa=pressure_drop,
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)
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def helium_dynamic_viscosity(temperature_k: float) -> float:
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