Add agrivPV gallery example

Author: AdamRJensen

docs/examples/agrivoltaics/plot_agrivoltaics_ground_irradiance.py

@@ -0,0 +1,155 @@
+"""
+AgriPV with infinite sheds
+==========================
+
+Irradiance at crop level between rows
+"""
+
+# %%
+# This example demonstrates how to calculate irradiance at crop level
+# for an agriPV system using pvlib's infinite sheds model.
+# For an overview of agrivPV concepts and performance, the reader
+# is referred to :doi:`10.69766/XAEU5008`.
+
+# The first steps is to define the plant location and calculate solar position
+# and clearsky irradiance for a single day as an example.
+#
+# .. figure:: ../../_images/agrivoltaics_system.jpg
+#    :align: center
+#    :width: 75%
+#    :alt: Photo of an agriPV system
+#
+#    Photo of a agriPV system
+#    *Source: Adam R. Jensen*
+
+import pvlib
+import pandas as pd
+import matplotlib.pyplot as plt
+
+location = pvlib.location.Location(latitude=55, longitude=10)
+
+times = pd.date_range('2020-06-28', periods=24*60, freq='1min', tz='UTC')
+
+solpos = location.get_solarposition(times)
+
+clearsky = location.get_clearsky(times, model='ineichen')
+
+# %%
+# Next, we need to define the plant layout:
+
+height = 3  # []
+pitch = 12  # [m] row spacing
+row_width = 2 * 2  # [m] two modules in portrait, each 2 m long
+gcr = row_width / pitch  # [-]
+axis_azimuth = 0  # [degrees] north-south tracking axis
+max_angle = 50  # [degrees] maximum rotation angle
+
+# %%
+# Before running the infinite sheds model, we need to know the orientation
+# of the trackers. For single-axis tracker, this can be calculated as follows:
+
+tracking_orientations = pvlib.tracking.singleaxis(
+    apparent_zenith=solpos['apparent_zenith'],
+    apparent_azimuth=solpos['azimuth'],
+    axis_azimuth=axis_azimuth,
+    max_angle=max_angle,
+    backtrack=True,
+    gcr=gcr,
+    )
+
+# %%
+# For agrivPV systems, the local albedo is dependent on crop growth and thus
+# changes throughout the seasons. In this example, we only simulate one
+# day and thus use a constant value. Similarly, we will assume a constant
+# air temperature to avoid getting external data.
+
+albedo = 0.25  # [unitless]
+temp_air = 18  # [degrees C]
+
+# %%
+# Now, we are ready to calculate the front and read-side irradiance using
+# the pvlib infinite sheds model.
+
+dni_extra = pvlib.irradiance.get_extra_radiation(times)
+
+irradiance = pvlib.bifacial.infinite_sheds.get_irradiance(
+    surface_tilt=tracking_orientations['surface_tilt'],
+    surface_azimuth=tracking_orientations['surface_azimuth'],
+    solar_zenith=solpos['apparent_zenith'],
+    solar_azimuth=solpos['azimuth'],
+    gcr=gcr,
+    height=height,
+    pitch=pitch,
+    ghi=clearsky['ghi'],
+    dhi=clearsky['dhi'],
+    dni=clearsky['dni'],
+    albedo=albedo,
+    model='haydavies',
+    dni_extra=dni_extra,
+    bifaciality=0.8,
+)
+
+# %%
+# Once the in-plane irradiance is known, we can estimate the power output.
+# For simplicity, we use the PVWatts model:
+
+N_tables = 108
+modules_per_table = 14
+pdc0_per_module = 380  # [W] STC rating
+pdc0 = pdc0_per_module * modules_per_table * N_tables
+
+gamma_pdc = -0.004  # [1/degrees C]
+
+temp_cell = pvlib.temperature.faiman(
+    poa_global=irradiance['poa_global'],
+    temp_air=temp_air,
+)
+
+power_dc = pvlib.pvsystem.pvwatts_dc(
+    g_poa_effective=irradiance['poa_global'],
+    temp_cell=temp_cell,
+    pdc0=pdc0,
+    gamma_pdc=gamma_pdc)
+
+power_dc.divide(1000).plot()
+plt.ylabel('DC power [kW]')
+plt.show()
+
+# %%
+# In addition to the power output of the PV array, we are also interested
+# in how much irradiance reaches the crops under the array. In this case
+# we calculate the average irradiance using the infinite sheds utility
+# functions.
+#
+# This consists of two parts. First we determine the diffuse irradiance on
+# ground and second we calculate the fraction of the ground that is unshaded
+# (i.e., receives DNI).
+
+from pvlib.tools import cosd
+
+vf_ground_sky = pvlib.bifacial.utils.vf_ground_sky_2d_integ(
+    surface_tilt=tracking_orientations['surface_tilt'],
+    gcr=gcr,
+    height=height,
+    pitch=pitch,
+)
+
+unshaded_ground_fraction = pvlib.bifacial.utils._unshaded_ground_fraction(
+    surface_tilt=tracking_orientations['surface_tilt'],
+    surface_azimuth=tracking_orientations['surface_azimuth'],
+    solar_zenith=solpos['apparent_zenith'],
+    solar_azimuth=solpos['azimuth'],
+    gcr=gcr,
+)
+
+crop_avg_irradiance = (
+    unshaded_ground_fraction * clearsky['dni'] * cosd(solpos['apparent_zenith'])
+    + vf_ground_sky * clearsky['dhi'])
+
+fig, ax = plt.subplots()
+clearsky['ghi'].plot(ax=ax, label='Horizontal irradiance above panels')
+crop_avg_irradiance.plot(ax=ax, label='Horizontal irradiance at crop level')
+ax.legend(loc='upper center')
+ax.set_ylabel('Irradiance [W/m$^2$]')
+ax.set_ylim(-10, 1050)
+plt.show()