add snow_depth inputs

Author: cwhanse

pvlib/snow.py

@@ -13,30 +13,36 @@ def _time_delta_in_hours(times):
     return delta.dt.total_seconds().div(3600)
 
 
-def fully_covered_nrel(snowfall, threshold_snowfall=1.):
+def fully_covered_nrel(snowfall, snow_depth=None, threshold_snowfall=1.):
     '''
     Calculates the timesteps when the row's slant height is fully covered
     by snow.
 
     Parameters
     ----------
-    snowfall : Series
-        Accumulated snowfall in each time period [cm]
-
-    threshold_snowfall : float, default 1.0
+    snowfall: Series
+        Accumulated snowfall in each time period. [cm]
+    snow_depth: Series, optional
+        Snow depth on the ground at the beginning of each time period.
+        Must have the same index as `snowfall`. [cm]
+    threshold_snowfall: float, default 1.0
         Hourly snowfall above which snow coverage is set to the row's slant
         height. [cm/hr]
 
     Returns
     ----------
-    boolean: Series
+    Series
         True where the snowfall exceeds the defined threshold to fully cover
         the panel.
 
     Notes
     -----
     Implements the model described in [1]_ with minor improvements in [2]_.
 
+    `snow_depth` is used to set coverage=0 when no snow is present on the
+    ground. This check is described in [2]_ as needed for systems with
+    low tilt angle.
+
     References
     ----------
     .. [1] Marion, B.; Schaefer, R.; Caine, H.; Sanchez, G. (2013).
@@ -56,11 +62,15 @@ def fully_covered_nrel(snowfall, threshold_snowfall=1.):
         hourly_snow_rate.iloc[0] = snowfall.iloc[0] / timedelta
     else:  # can't infer frequency from index
         hourly_snow_rate.iloc[0] = 0  # replaces NaN
-    return hourly_snow_rate > threshold_snowfall
+    covered = (hourly_snow_rate > threshold_snowfall)
+    # no coverage when no snow on the ground
+    if snow_depth is not None:
+        covered = covered & (snow_depth > 0.)
+    return covered
 
 
 def coverage_nrel(snowfall, poa_irradiance, temp_air, surface_tilt,
-                  initial_coverage=0, threshold_snowfall=1.,
+                  snow_depth=None, initial_coverage=0, threshold_snowfall=1.,
                   can_slide_coefficient=-80., slide_amount_coefficient=0.197):
     '''
     Calculates the fraction of the slant height of a row of modules covered by
@@ -82,6 +92,9 @@ def coverage_nrel(snowfall, poa_irradiance, temp_air, surface_tilt,
     surface_tilt : numeric
         Tilt of module's from horizontal, e.g. surface facing up = 0,
         surface facing horizon = 90. [degrees]
+    snow_depth : Series, optional
+        Snow depth on the ground at the beginning of each time period.
+        Must have the same index as `snowfall`. [cm]
     initial_coverage : float, default 0
         Fraction of row's slant height that is covered with snow at the
         beginning of the simulation. [unitless]
@@ -106,6 +119,10 @@ def coverage_nrel(snowfall, poa_irradiance, temp_air, surface_tilt,
     In [1]_, `can_slide_coefficient` is termed `m`, and the value of
     `slide_amount_coefficient` is given in tenths of a module's slant height.
 
+    `snow_depth` is used to set coverage=0 when no snow is present on the
+    ground. This check is described in [2]_ as needed for systems with
+    low tilt angle.
+
     References
     ----------
     .. [1] Marion, B.; Schaefer, R.; Caine, H.; Sanchez, G. (2013).
@@ -117,7 +134,7 @@ def coverage_nrel(snowfall, poa_irradiance, temp_air, surface_tilt,
     '''
 
     # find times with new snowfall
-    new_snowfall = fully_covered_nrel(snowfall, threshold_snowfall)
+    new_snowfall = fully_covered_nrel(snowfall, snow_depth, threshold_snowfall)
 
     # set up output Series
     snow_coverage = pd.Series(np.nan, index=poa_irradiance.index)
@@ -143,6 +160,10 @@ def coverage_nrel(snowfall, poa_irradiance, temp_air, surface_tilt,
     snow_coverage.ffill(inplace=True)
     snow_coverage -= cumulative_sliding
 
+    if snow_depth is not None:
+        # no coverage when there's no snow on the ground
+        # described in [2] to avoid non-sliding snow for low-tilt systems.
+        snow_coverage[snow_depth<=0] = 0.
     # clean up periods where row is completely uncovered
     return snow_coverage.clip(lower=0)
 

pvlib/tests/test_snow.py

@@ -19,6 +19,18 @@ def test_fully_covered_nrel():
     assert_series_equal(expected, fully_covered)
 
 
+def test_fully_covered_nrel_with_snow_depth():
+    dt = pd.date_range(start="2019-1-1 12:00:00", end="2019-1-1 18:00:00",
+                       freq='1h')
+    snowfall_data = pd.Series([1, 5, .6, 4, .23, -5, 19], index=dt)
+    snow_depth = pd.Series([0., 1, 6, 6.6, 10.6, 10., -2], index=dt)
+    expected = pd.Series([False, True, False, True, False, False, False],
+                         index=dt)
+    fully_covered = snow.fully_covered_nrel(snowfall_data,
+                                            snow_depth=snow_depth)
+    assert_series_equal(expected, fully_covered)
+
+
 def test_coverage_nrel_hourly():
     surface_tilt = 45
     slide_amount_coefficient = 0.197
@@ -38,6 +50,27 @@ def test_coverage_nrel_hourly():
     assert_series_equal(expected, snow_coverage)
 
 
+def test_coverage_nrel_hourly_with_snow_depth():
+    surface_tilt = 45
+    slide_amount_coefficient = 0.197
+    dt = pd.date_range(start="2019-1-1 10:00:00", end="2019-1-1 17:00:00",
+                       freq='1h')
+    poa_irradiance = pd.Series([400, 200, 100, 1234, 134, 982, 100, 100],
+                               index=dt)
+    temp_air = pd.Series([10, 2, 10, 1234, 34, 982, 10, 10], index=dt)
+    snowfall_data = pd.Series([1, .5, .6, .4, .23, -5, .1, .1], index=dt)
+    snow_depth = pd.Series([1, 1, 1, 1, 0, 1, 0, .1], index=dt)
+    snow_coverage = snow.coverage_nrel(
+        snowfall_data, poa_irradiance, temp_air, surface_tilt,
+        snow_depth=snow_depth, threshold_snowfall=0.6)
+
+    slide_amt = slide_amount_coefficient * sind(surface_tilt)
+    covered = 1.0 - slide_amt * np.array([0, 1, 2, 3, 4, 5, 6, 7])
+    expected = pd.Series(covered, index=dt)
+    expected[snow_depth<=0] = 0
+    assert_series_equal(expected, snow_coverage)
+
+
 def test_coverage_nrel_subhourly():
     surface_tilt = 45
     slide_amount_coefficient = 0.197