# -*- coding: utf-8
"""Module of class DropletSeparator.
This file is part of project TESPy (github.com/oemof/tespy). It's copyrighted
by the contributors recorded in the version control history of the file,
available from its original location
tespy/components/nodes/droplet_separator.py
SPDX-License-Identifier: MIT
"""
from tespy.components.nodes.base import NodeBase
from tespy.tools.document_models import generate_latex_eq
from tespy.tools.fluid_properties import dh_mix_dpQ
from tespy.tools.fluid_properties import h_mix_pQ
[docs]
class DropletSeparator(NodeBase):
r"""
Separate liquid phase from gas phase of a single fluid.
This component is the parent component of the Drum.
**Mandatory Equations**
- :py:meth:`tespy.components.nodes.base.NodeBase.mass_flow_func`
- :py:meth:`tespy.components.nodes.base.NodeBase.pressure_equality_func`
- :py:meth:`tespy.components.nodes.droplet_separator.DropletSeparator.fluid_func`
- :py:meth:`tespy.components.nodes.droplet_separator.DropletSeparator.energy_balance_func`
- :py:meth:`tespy.components.nodes.droplet_separator.DropletSeparator.outlet_states_func`
Inlets/Outlets
- in1
- out1, out2 (index 1: saturated liquid, index 2: saturated gas)
Image
.. image:: /api/_images/DropletSeparator.svg
:alt: flowsheet of the droplet separator
:align: center
:class: only-light
.. image:: /api/_images/DropletSeparator_darkmode.svg
:alt: flowsheet of the droplet separator
:align: center
:class: only-dark
Parameters
----------
label : str
The label of the component.
design : list
List containing design parameters (stated as String).
offdesign : list
List containing offdesign parameters (stated as String).
design_path : str
Path to the components design case.
local_offdesign : boolean
Treat this component in offdesign mode in a design calculation.
local_design : boolean
Treat this component in design mode in an offdesign calculation.
char_warnings : boolean
Ignore warnings on default characteristics usage for this component.
printout : boolean
Include this component in the network's results printout.
Example
-------
The droplet separator separates gas from liquid phase. From a stream of
water the liquid phase will be separated.
>>> from tespy.components import Sink, Source, DropletSeparator
>>> from tespy.connections import Connection
>>> from tespy.networks import Network
>>> import shutil
>>> nw = Network(T_unit='C', p_unit='bar', h_unit='kJ / kg', iterinfo=False)
>>> so = Source('two phase inflow')
>>> sig = Sink('gas outflow')
>>> sil = Sink('liquid outflow')
>>> ds = DropletSeparator('droplet separator')
>>> ds.component()
'droplet separator'
>>> so_ds = Connection(so, 'out1', ds, 'in1')
>>> ds_sig = Connection(ds, 'out2', sig, 'in1')
>>> ds_sil = Connection(ds, 'out1', sil, 'in1')
>>> nw.add_conns(so_ds, ds_sig, ds_sil)
We specify the fluid's state at the inlet. At the gas outflow saturated
gas enthalpy is expected, at the liquid gas outflow saturated liquid
enthalpy. The mass flow at the outlets is expected to split according to
the vapor mass fraction:
.. math::
\dot{m}_\mathrm{out,1} = \left(1 - \frac{h_\mathrm{in} - h'}{h'' - h'}
\right) \cdot \dot{m}_\mathrm{in}
\dot{m}_\mathrm{out,2} = \frac{h_\mathrm{in} - h'}{h'' - h'} \cdot
\dot{m}_\mathrm{in}
>>> so_ds.set_attr(fluid={'water': 1}, p=1, h=1500, m=10)
>>> nw.solve('design')
>>> Q_in = so_ds.calc_Q()
>>> round(Q_in * so_ds.m.val_SI, 6) == round(ds_sig.m.val_SI, 6)
True
>>> round((1 - Q_in) * so_ds.m.val_SI, 6) == round(ds_sil.m.val_SI, 6)
True
>>> ds_sig.calc_Q()
1.0
>>> ds_sil.calc_Q()
0.0
In a different setup, we unset pressure and enthalpy and specify gas
temperature and mass flow instead. The temperature specification must yield
the corresponding boiling point pressure and the mass flow must yield the
inlet enthalpy. The inlet vapor mass fraction must be equal to fraction of
gas mass flow to inlet mass flow (0.95 in this example).
>>> so_ds.set_attr(fluid={'water': 1}, p=None, h=None, T=150, m=10)
>>> ds_sig.set_attr(m=9.5)
>>> nw.solve('design')
>>> round(so_ds.calc_Q(), 6)
0.95
>>> T_boil = so_ds.calc_T_sat()
>>> round(T_boil, 6) == round(so_ds.T.val_SI, 6)
True
"""
[docs]
@staticmethod
def component():
return 'droplet separator'
[docs]
def get_mandatory_constraints(self):
return {
'mass_flow_constraints': {
'func': self.mass_flow_func, 'deriv': self.mass_flow_deriv,
'constant_deriv': True, 'latex': self.mass_flow_func_doc,
'num_eq': 1},
'energy_balance_constraints': {
'func': self.energy_balance_func,
'deriv': self.energy_balance_deriv,
'constant_deriv': False, 'latex': self.energy_balance_func_doc,
'num_eq': 1},
'pressure_constraints': {
'func': self.pressure_equality_func,
'deriv': self.pressure_equality_deriv,
'constant_deriv': True,
'latex': self.pressure_equality_func_doc,
'num_eq': self.num_i + self.num_o - 1},
'outlet_constraints': {
'func': self.outlet_states_func,
'deriv': self.outlet_states_deriv,
'constant_deriv': False,
'latex': self.outlet_states_func_doc,
'num_eq': 2}
}
[docs]
@staticmethod
def inlets():
return ['in1']
[docs]
@staticmethod
def outlets():
return ['out1', 'out2']
[docs]
def energy_balance_func(self):
r"""
Calculate energy balance.
Returns
-------
residual : float
Residual value of energy balance.
.. math::
0 = \sum_i \left(\dot{m}_{in,i} \cdot h_{in,i} \right) -
\sum_j \left(\dot{m}_{out,j} \cdot h_{out,j} \right)\\
\forall i \in \text{inlets} \; \forall j \in \text{outlets}
"""
res = 0
for i in self.inl:
res += i.m.val_SI * i.h.val_SI
for o in self.outl:
res -= o.m.val_SI * o.h.val_SI
return res
[docs]
def energy_balance_func_doc(self, label):
r"""
Calculate energy balance.
Parameters
----------
label : str
Label for equation.
Returns
-------
latex : str
LaTeX code of equations applied.
"""
latex = (
r'0=\sum_i\left(\dot{m}_{\mathrm{in,}i}\cdot h_{\mathrm{in,}i}'
r'\right) - \sum_j \left(\dot{m}_{\mathrm{out,}j} \cdot '
r'h_{\mathrm{out,}j} \right) \; \forall i \in \text{inlets} \;'
r'\forall j \in \text{outlets}'
)
return generate_latex_eq(self, latex, label)
[docs]
def energy_balance_deriv(self, increment_filter, k):
r"""
Calculate partial derivatives of energy balance.
Parameters
----------
increment_filter : ndarray
Matrix for filtering non-changing variables.
k : int
Position of derivatives in Jacobian matrix (k-th equation).
"""
for i in self.inl:
if i.m.is_var:
self.jacobian[k, i.m.J_col] = i.h.val_SI
if i.h.is_var:
self.jacobian[k, i.h.J_col] = i.m.val_SI
for o in self.outl:
if o.m.is_var:
self.jacobian[k, o.m.J_col] = -o.h.val_SI
if o.h.is_var:
self.jacobian[k, o.h.J_col] = -o.m.val_SI
[docs]
def outlet_states_func(self):
r"""
Calculate energy balance.
Returns
-------
residual : list
Residual values of outlet state equations.
.. math::
0 = h_{out,1} - h\left(p, x=0 \right)\\
0 = h_{out,2} - h\left(p, x=1 \right)
"""
o0 = self.outl[0]
o1 = self.outl[1]
return [
h_mix_pQ(o0.p.val_SI, 0, o0.fluid_data) - o0.h.val_SI,
h_mix_pQ(o1.p.val_SI, 1, o1.fluid_data) - o1.h.val_SI
]
[docs]
def outlet_states_func_doc(self, label):
r"""
Calculate energy balance.
Parameters
----------
label : str
Label for equation.
Returns
-------
latex : str
LaTeX code of equations applied.
"""
latex = (
r'\begin{split}' + '\n'
r'0 =&h_\mathrm{out,1} -h\left(p_\mathrm{out,1}, x=0\right)\\'
r'0 =&h_\mathrm{out,2} -h\left(p_\mathrm{out,2}, x=1\right)\\'
r'\end{split}'
)
return generate_latex_eq(self, latex, label)
[docs]
def outlet_states_deriv(self, increment_filter, k):
r"""
Calculate partial derivatives of outlet states.
Parameters
----------
increment_filter : ndarray
Matrix for filtering non-changing variables.
k : int
Position of derivatives in Jacobian matrix (k-th equation).
"""
o0 = self.outl[0]
o1 = self.outl[1]
if o0.p.is_var:
self.jacobian[k, o0.p.J_col] = (
dh_mix_dpQ(o0.p.val_SI, 0, o0.fluid_data)
)
if o0.h.is_var and self.it == 0:
self.jacobian[k, o0.h.J_col] = -1
if o1.p.is_var:
self.jacobian[k + 1, o1.p.J_col] = (
dh_mix_dpQ(o1.p.val_SI, 1, o1.fluid_data)
)
if o1.h.is_var and self.it == 0:
self.jacobian[k + 1, o1.h.J_col] = -1
[docs]
def propagate_wrapper_to_target(self, branch):
if self in branch["components"]:
return
for outconn in self.outl:
branch["connections"] += [outconn]
branch["components"] += [self]
outconn.target.propagate_wrapper_to_target(branch)
[docs]
@staticmethod
def initialise_source(c, key):
r"""
Return a starting value for pressure and enthalpy at outlet.
Parameters
----------
c : tespy.connections.connection.Connection
Connection to perform initialisation on.
key : str
Fluid property to retrieve.
Returns
-------
val : float
Starting value for pressure/enthalpy in SI units.
.. math::
val = \begin{cases}
10^6 & \text{key = 'p'}\\
h\left(p, x=1 \right) & \text{key = 'h' at outlet 1}\\
h\left(p, x=0 \right) & \text{key = 'h' at outlet 2}
\end{cases}
"""
if key == 'p':
return 10e5
elif key == 'h':
if c.source_id == 'out1':
return h_mix_pQ(c.p.val_SI, 0, c.fluid_data)
else:
return h_mix_pQ(c.p.val_SI, 1, c.fluid_data)
[docs]
@staticmethod
def initialise_target(c, key):
r"""
Return a starting value for pressure and enthalpy at inlet.
Parameters
----------
c : tespy.connections.connection.Connection
Connection to perform initialisation on.
key : str
Fluid property to retrieve.
Returns
-------
val : float
Starting value for pressure/enthalpy in SI units.
.. math::
val = \begin{cases}
10^6 & \text{key = 'p'}\\
h\left(p, x=0.5 \right) & \text{key = 'h' at inlet 1}
\end{cases}
"""
if key == 'p':
return 10e5
elif key == 'h':
return h_mix_pQ(c.p.val_SI, 0.5, c.fluid_data)
[docs]
def get_plotting_data(self):
"""Generate a dictionary containing FluProDia plotting information.
Returns
-------
data : dict
A nested dictionary containing the keywords required by the
:code:`calc_individual_isoline` method of the
:code:`FluidPropertyDiagram` class. First level keys are the
connection index ('in1' -> 'out1', therefore :code:`1` etc.).
"""
return {
i + 1: {
'isoline_property': 'p',
'isoline_value': self.inl[0].p.val,
'isoline_value_end': self.outl[i].p.val,
'starting_point_property': 'v',
'starting_point_value': self.inl[0].vol.val,
'ending_point_property': 'v',
'ending_point_value': self.outl[i].vol.val
} for i in range(2)}