Add JRC spectral factor correction (#2088)

* create spectral_factor_jrc

* Update mismatch.py

* Update mismatch.py

* Update pvlib/spectrum/mismatch.py

Co-authored-by: Echedey Luis <[email protected]>

* Update pvlib/spectrum/mismatch.py

Co-authored-by: Echedey Luis <[email protected]>

* Update mismatch.py

* Update mismatch.py

* Update mismatch.py

* Update v0.11.0.rst

* normalise coefficients

* normalisation calc, test tolerance

include normalisation calculation for built in coeff inside the function
adjust tests --- additional calculation seems to affect this(?)

* Update mismatch.py

* Update mismatch.py

* Update pvlib/spectrum/mismatch.py

Co-authored-by: Cliff Hansen <[email protected]>

* Update mismatch.py

line length

* Update v0.11.0.rst

* Update mismatch.py

* Update pvlib/spectrum/mismatch.py

Co-authored-by: Echedey Luis <[email protected]>

* Update mismatch.py

* Update mismatch.py

---------

Co-authored-by: Echedey Luis <[email protected]>
Co-authored-by: Cliff Hansen <[email protected]>

Author: 3 people

docs/sphinx/source/reference/effects_on_pv_system_output/spectrum.rst

@@ -15,5 +15,6 @@ Spectrum
    spectrum.spectral_factor_firstsolar
    spectrum.spectral_factor_sapm
    spectrum.spectral_factor_pvspec
+   spectrum.spectral_factor_jrc
    spectrum.sr_to_qe
    spectrum.qe_to_sr

docs/sphinx/source/whatsnew/v0.11.0.rst

@@ -46,9 +46,14 @@ Enhancements
   efficiency ([unitless]) and vice versa. The conversion functions are
   :py:func:`pvlib.spectrum.sr_to_qe` and :py:func:`pvlib.spectrum.qe_to_sr`
   respectively. (:issue:`2040`, :pull:`2041`)
-* Add function :py:func:`pvlib.spectrum.spectral_factor_pvspec`, which calculates the
-  spectral mismatch factor as a function of absolute airmass and clearsky index
-  using the PVSPEC model. (:issue:`1950`, :issue:`2065`, :pull:`2072`)
+* Add function :py:func:`pvlib.spectrum.spectral_factor_pvspec`, which
+  calculates the spectral mismatch factor as a function of absolute airmass and
+  clearsky index using the PVSPEC model.
+  (:issue:`1950`, :issue:`2065`, :pull:`2072`)
+* Add function :py:func:`pvlib.spectrum.spectral_factor_jrc`, which calculates
+  the spectral mismatch factor as a function of airmass and clearsky
+  index using the JRC model.
+  (:issue:`1950`, :issue:`2065`, :issue:`2087`, :pull:`2088`)
 * Added extraterrestrial and direct spectra of the ASTM G173-03 standard with
   the new function :py:func:`pvlib.spectrum.get_reference_spectra`.
   (:issue:`1963`, :pull:`2039`)

pvlib/spectrum/__init__.py

@@ -8,6 +8,7 @@
     spectral_factor_firstsolar,
     spectral_factor_sapm,
     spectral_factor_pvspec,
+    spectral_factor_jrc,
     sr_to_qe,
     qe_to_sr
 )

pvlib/spectrum/mismatch.py

@@ -794,6 +794,116 @@ def spectral_factor_pvspec(airmass_absolute, clearsky_index,
     return mismatch
 
 
+def spectral_factor_jrc(airmass, clearsky_index, module_type=None,
+                        coefficients=None):
+    r"""
+    Estimate a technology-specific spectral mismatch modifier from
+    airmass and clear sky index using the JRC model.
+
+    The JRC spectral mismatch model includes the effects of cloud cover on
+    the irradiance spectrum. Model coefficients are derived using measurements
+    of irradiance and module performance at the Joint Research Centre (JRC) in
+    Ispra, Italy (45.80N, 8.62E). Coefficients for two module types are
+    available via the ``module_type`` parameter. More details on the model can
+    be found in [1]_.
+
+    Parameters
+    ----------
+    airmass : numeric
+        relative airmass. [unitless]
+
+    clearsky_index: numeric
+        clear sky index. [unitless]
+
+    module_type : str, optional
+        One of the following PV technology strings from [1]_:
+
+        * ``'cdte'`` - anonymous CdTe module.
+        * ``'multisi'`` - anonymous multicrystalline Si module.
+
+    coefficients : array-like, optional
+        user-defined coefficients, if not using one of the default coefficient
+        sets via the ``module_type`` parameter.
+
+    Returns
+    -------
+    mismatch: numeric
+        spectral mismatch factor (unitless) which is multiplied
+        with broadband irradiance reaching a module's cells to estimate
+        effective irradiance, i.e., the irradiance that is converted to
+        electrical current.
+
+    Notes
+    -----
+    The JRC model parameterises the spectral mismatch factor as a function
+    of air mass and the clear sky index as follows:
+
+    .. math::
+
+        M = 1 + a_1(e^{-k_c}-e^{-1}) + a_2(k_c-1)+a_3(AM-1.5),
+
+    where :math:`M` is the spectral mismatch factor, :math:`k_c` is the clear
+    sky index, :math:`AM` is the air mass, :math:`e` is Euler's number, and
+    :math:`a_1, a_2, a_3` are module-specific coefficients. The :math:`a_n`
+    coefficients available via the ``coefficients`` parameter differ from the
+    :math:`k_n` coefficients documented in [1]_ in that they are normalised by
+    the specific short-circuit current value, :math:`I_{sc0}^*`, which is the
+    expected short-circuit current at standard test conditions indoors. The
+    model used to estimate the air mass (denoted as :math:`AM`) is not stated
+    in the original publication. The authors of [1]_ used the ESRA model [2]_
+    to estimate the clear sky GHI for the clear sky index, which is the ratio
+    of GHI to clear sky GHI. Also, prior to the calculation of :math:`k_c`, the
+    irradiance measurements were corrected for angle of incidence using the
+    Martin and Ruiz model [3]_.
+
+    References
+    ----------
+    .. [1] Huld, T., Sample, T., and Dunlop, E., 2009. A simple model
+       for estimating the influence of spectrum variations on PV performance.
+       In Proceedings of the 24th European Photovoltaic Solar Energy
+       Conference, Hamburg, Germany pp. 3385-3389. 2009. Accessed at:
+       https://www.researchgate.net/publication/256080247
+    .. [2] Rigollier, C., Bauer, O., and Wald, L., 2000. On the clear sky model
+       of the ESRA—European Solar Radiation Atlas—with respect to the Heliosat
+       method. Solar energy, 68(1), pp.33-48.
+       :doi:`10.1016/S0038-092X(99)00055-9`
+    .. [3] Martin, N. and Ruiz, J. M., 2001. Calculation of the PV modules
+       angular losses under field conditions by means of an analytical model.
+       Solar Energy Materials and Solar Cells, 70(1), 25-38.
+       :doi:`10.1016/S0927-0248(00)00408-6`
+    """
+
+    _coefficients = {}
+    _coefficients['multisi'] = (0.00172, 0.000508, 0.00000357)
+    _coefficients['cdte'] = (0.000643, 0.000130, 0.0000108)
+    # normalise coefficients by I*sc0, see [1]
+    _coefficients = {
+        'multisi': tuple(x / 0.00348 for x in _coefficients['multisi']),
+        'cdte': tuple(x / 0.001150 for x in _coefficients['cdte'])
+    }
+    if module_type is not None and coefficients is None:
+        coefficients = _coefficients[module_type.lower()]
+    elif module_type is None and coefficients is not None:
+        pass
+    elif module_type is None and coefficients is None:
+        raise ValueError('No valid input provided, both module_type and ' +
+                         'coefficients are None. module_type can be one of ' +
+                         ", ".join(_coefficients.keys()))
+    else:
+        raise ValueError('Cannot resolve input, must supply only one of ' +
+                         'module_type and coefficients. module_type can be ' +
+                         'one of' ", ".join(_coefficients.keys()))
+
+    coeff = coefficients
+    mismatch = (
+        1
+        + coeff[0] * (np.exp(-clearsky_index) - np.exp(-1))
+        + coeff[1] * (clearsky_index - 1)
+        + coeff[2] * (airmass - 1.5)
+    )
+    return mismatch
+
+
 def sr_to_qe(sr, wavelength=None, normalize=False):
     """
     Convert spectral responsivities to quantum efficiencies.

pvlib/tests/test_spectrum.py

@@ -426,6 +426,54 @@ def test_spectral_factor_pvspec_supplied_ambiguous():
                                         coefficients=None)
 
 
+@pytest.mark.parametrize("module_type,expected", [
+    ('multisi', np.array([1.06129, 1.03098, 1.01155, 0.99849])),
+    ('cdte', np.array([1.09657,  1.05594, 1.02763, 0.97740])),
+])
+def test_spectral_factor_jrc(module_type, expected):
+    ams = np.array([1.0, 1.5, 2.0, 1.5])
+    kcs = np.array([0.4, 0.6, 0.8, 1.4])
+    out = spectrum.spectral_factor_jrc(ams, kcs,
+                                       module_type=module_type)
+    assert np.allclose(expected, out, atol=1e-4)
+
+
+@pytest.mark.parametrize("module_type,expected", [
+    ('multisi', np.array([1.06129, 1.03098, 1.01155, 0.99849])),
+    ('cdte', np.array([1.09657,  1.05594, 1.02763, 0.97740])),
+])
+def test_spectral_factor_jrc_series(module_type, expected):
+    ams = pd.Series([1.0, 1.5, 2.0, 1.5])
+    kcs = pd.Series([0.4, 0.6, 0.8, 1.4])
+    out = spectrum.spectral_factor_jrc(ams, kcs,
+                                       module_type=module_type)
+    assert isinstance(out, pd.Series)
+    assert np.allclose(expected, out, atol=1e-4)
+
+
+def test_spectral_factor_jrc_supplied():
+    # use the multisi coeffs
+    coeffs = (0.494, 0.146, 0.00103)
+    out = spectrum.spectral_factor_jrc(1.0, 0.8, coefficients=coeffs)
+    expected = 1.01052106
+    assert_allclose(out, expected, atol=1e-4)
+
+
+def test_spectral_factor_jrc_supplied_redundant():
+    # Error when specifying both module_type and coefficients
+    coeffs = (0.494, 0.146, 0.00103)
+    with pytest.raises(ValueError, match='supply only one of'):
+        spectrum.spectral_factor_jrc(1.0, 0.8, module_type='multisi',
+                                     coefficients=coeffs)
+
+
+def test_spectral_factor_jrc_supplied_ambiguous():
+    # Error when specifying neither module_type nor coefficients
+    with pytest.raises(ValueError, match='No valid input provided'):
+        spectrum.spectral_factor_jrc(1.0, 0.8, module_type=None,
+                                     coefficients=None)
+
+
 @pytest.fixture
 def sr_and_eqe_fixture():
     # Just some arbitrary data for testing the conversion functions