Working Coulombic efficiency

src/thevenin/__init__.py

@@ -27,7 +27,7 @@
 from . import loadfns
 from . import plotutils
 
-__version__ = '0.1.1'
+__version__ = '0.1.2.dev'
 
 __all__ = [
     'IDASolver',

src/thevenin/_model.py

@@ -42,6 +42,7 @@ def __init__(self, params: dict | str = 'params.yaml'):
             num_RC_pairs  number of RC pairs         *int*, -
             soc0          initial state of charge    *float*, -
             capacity      maximum battery capacity   *float*, Ah
+            ce            coulombic efficiency       *float*, -
             mass          total battery mass         *float*, kg
             isothermal    flag for isothermal model  *bool*, -
             Cp            specific heat capacity     *float*, J/kg/K
@@ -92,6 +93,7 @@ def __init__(self, params: dict | str = 'params.yaml'):
             'num_RC_pairs',
             'soc0',
             'capacity',
+            'ce',
             'mass',
             'isothermal',
             'Cp',
@@ -103,6 +105,7 @@ def __init__(self, params: dict | str = 'params.yaml'):
         self.num_RC_pairs = params.pop('num_RC_pairs')
         self.soc0 = params.pop('soc0')
         self.capacity = params.pop('capacity')
+        self.ce = params.pop('ce')
         self.mass = params.pop('mass')
         self.isothermal = params.pop('isothermal')
         self.Cp = params.pop('Cp')
@@ -302,7 +305,8 @@ def rhs_funcs(self, t: float, sv: np.ndarray, inputs: dict) -> np.ndarray:
         power = current*voltage
 
         # state of charge (differential)
-        rhs[self._ptr['soc']] = -current / 3600. / self.capacity
+        ce = 1. if current >= 0. else self.ce
+        rhs[self._ptr['soc']] = -ce*current / 3600. / self.capacity
 
         # temperature (differential)
         Q_gen = current*(ocv - voltage)

src/thevenin/templates/params.yaml

@@ -1,6 +1,7 @@
 num_RC_pairs: 1
 soc0: 1.
 capacity: 75.
+ce: 1.
 mass: 1.9
 isothermal: False
 Cp: 745.

tests/test_model.py

@@ -3,6 +3,7 @@
 import pytest
 import numpy as np
 import thevenin as thev
+from scipy.integrate import cumulative_trapezoid
 
 
 @pytest.fixture(scope='function')
@@ -14,6 +15,7 @@ def dict_params():
         'num_RC_pairs': 0,
         'soc0': 0.5,
         'capacity': 1.,
+        'ce': 1.,
         'mass': 0.5,
         'isothermal': False,
         'Cp': 1150.,
@@ -368,6 +370,51 @@ def test_isothermal_flag(model_2RC, constant_steps):
     assert np.allclose(soln.vars['temperature_K'], model_2RC.T_inf)
 
 
+def test_coulombic_efficiency():
+
+    model_100 = thev.Model()
+    model_100.soc0 = 1.
+    model_100.ce = 1.
+    model_100.pre()
+
+    model_80 = thev.Model()
+    model_80.soc0 = 1.
+    model_80.ce = 0.8
+    model_80.pre()
+
+    expr = thev.Experiment()
+    expr.add_step('current_C', 0.05, (3600.*30., 10.), limits=('soc', 0.))
+    expr.add_step('current_C', -0.05, (3600.*30., 10.), limits=('soc', 1.))
+
+    # check discharge capacity / charge capacity ~ 1.0
+    soln_100 = model_100.run(expr)
+    assert all(soln_100.success)
+
+    dis = soln_100.get_steps(0)
+    chg = soln_100.get_steps(1)
+
+    cap_dis = cumulative_trapezoid(dis.vars['current_A'], dis.vars['time_h'],
+                                   initial=0.)
+    cap_chg = cumulative_trapezoid(chg.vars['current_A'], chg.vars['time_h'],
+                                   initial=0.)
+
+    assert round(abs(cap_dis).max() / abs(cap_chg).max(), 1) == 1.0
+
+    # check discharge capacity / charge capacity ~ 0.8
+    soln_80 = model_80.run(expr)
+    assert all(soln_80.success)
+
+    dis = soln_80.get_steps(0)
+    chg = soln_80.get_steps(1)
+
+    cap_dis = cumulative_trapezoid(dis.vars['current_A'], dis.vars['time_h'],
+                                   initial=0.)
+    cap_chg = cumulative_trapezoid(chg.vars['current_A'], chg.vars['time_h'],
+                                   initial=0.)
+
+    assert round(abs(cap_dis).max() / abs(cap_chg).max(), 1) == 0.8
+
+
 def test_mutable_warning():
     from thevenin._model import short_warn