diff --git a/pvlib/data/gold/gold_dataset.json b/pvlib/data/gold/gold_dataset.json new file mode 100644 index 0000000000..f6ea51f1e3 --- /dev/null +++ b/pvlib/data/gold/gold_dataset.json @@ -0,0 +1,7595 @@ +{ + "version": "1.0.0", + "python": "3.6.4 |Anaconda, Inc.| (default, Jan 16 2018, 18:10:19) \n[GCC 7.2.0]", + "numpy": "1.14.0", + "scipy": "1.0.0", + "pvlib": "0.5.1+35.gc96795d.dirty", + "timestamp_utc_iso": "2018-02-14T03:09:16.774300", + "units": { + "G": "W/m^2", + "T": "degC", + "i_l": "A", + "i_0": "A", + "r_s": "Ohm", + "g_sh": "S", + "nNsVth": "V", + "v_gold": "V", + "i_gold": "A" + }, + "devices": [{ + "name": "Bishop_ref_cell", + "Technology": "Mono-c-Si", + "N_s": 1, + "iv_curves": [{ + "G": "0x1.9000000000000p+6", + "T": "0x1.e000000000000p+3", + "i_l": "0x1.ea14057082492p-8", + "i_0": "0x1.0a0d098e92fecp-28", + "r_s": "0x0.0p+0", + "g_sh": "0x0.0p+0", + "nNsVth": "0x1.311f0f74446a5p-5", + "v_gold": ["-0x1.613e3601cb70ap-7", "0x1.4ab249c48532ep-4", 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"0x1.8a0854c2d998dp+6"], + "i_gold": ["0x1.5e549630e24c0p+0", "0x1.52c0f55da839ep+0", "0x1.46058b93ac57dp+0", "0x1.37b3fa49d71bap+0", "0x1.279f71a4c07e7p+0", "0x1.15b3955fb486dp+0", "0x1.01e6f09f6996cp+0", "0x1.d86af85ed3f05p-1", "0x1.a93c2fcbe3df4p-1", "0x1.764286e30538bp-1", "0x1.3f80da55a0b85p-1", "0x1.04fb1a43aac70p-1", "0x1.8d6ba56645749p-2", "0x1.096bc57d2119cp-2", "0x1.f8027a8e5ed1cp-4", "-0x1.4cbb2a286bf30p-6", "-0x1.5dde4643f77b0p-3", "-0x1.505fcf91fcabcp-2", "-0x1.f9140a7f04605p-2", "-0x1.54813240d7afap-1", "-0x1.b010d85779057p-1"] + }] + }] +} \ No newline at end of file diff --git a/pvlib/data/gold/gold_dataset.py b/pvlib/data/gold/gold_dataset.py new file mode 100644 index 0000000000..7a30abf3d7 --- /dev/null +++ b/pvlib/data/gold/gold_dataset.py @@ -0,0 +1,373 @@ +import datetime +import json +import sys + +import numpy +from pvlib import pvsystem +import pvlib.version +import scipy +import scipy.constants as constants + +# Some useful physical constants (CODATA: https://physics.nist.gov/cuu/Constants/) + +# elementary charge, 1.6021766208e-19 C +elementary_charge_C = constants.value('elementary charge') + +# Boltzmann constant, 1.38064852e-23 J/K +boltzmann_J_per_K = constants.value('Boltzmann constant') + +# Define standard test condition (STC) temperature +T_STC_K = 298.15 # K, equivalent to 25 degC + +# Approximate largest possible absolute residual value, determined empirically +TOL_CURRENT_SUM_RESIDUAL_GOLD = 1.e-12 + +# Generate I-V curves, each with same number of points, over matrix of (G,T) combinations +G_list = [100., 200., 400., 600., 800., 1000., 1100.] # W/m^2 +T_list = [15., 25., 50., 75.] # degC +NUM_PTS = 21 + + +def generate_gold_dataset(json_filepath=None): + ''' + TODO + Returns the dataset in a python dictionary. + Optionally writes result in lossless interoperable format to a json file. + ''' + + # Load module inside function to avoid a global dependency requirement + # http://pyinterval.readthedocs.io/en/latest/guide.html + # pip install pyinterval, even in conda distro's + from interval import interval, imath + + TOL_CURRENT_SUM_RESIDUAL_GOLD_INTERVAL = interval( + [-TOL_CURRENT_SUM_RESIDUAL_GOLD, TOL_CURRENT_SUM_RESIDUAL_GOLD]) + + CECMOD = pvsystem.retrieve_sam('cecmod') + + # Create a reference-like x-Si cell based on limited parameters in Bishop's 1988 paper Fig. 6 + cell_area = 4. # cm^2 + ideality_factor = 1.5 + + # Copy an existing mono-Si cell and None the entries we don't know or need + mono_Si_cell = CECMOD.SunPower_SPR_E20_327 + mono_Si_cell.name = 'Bishop_ref_cell' + mono_Si_cell.BIPV = 'N' + mono_Si_cell.Date = '6/20/1988' + mono_Si_cell.T_NOCT = None + mono_Si_cell.A_c = None + mono_Si_cell.N_s = 1 + mono_Si_cell.I_sc_ref = cell_area*30.e-3 # Amp + mono_Si_cell.V_oc_ref = None + mono_Si_cell.I_mp_ref = None + mono_Si_cell.V_mp_ref = None + mono_Si_cell.beta_oc = None + mono_Si_cell.a_ref = mono_Si_cell.N_s*ideality_factor * \ + boltzmann_J_per_K*T_STC_K/elementary_charge_C # Volt + mono_Si_cell.I_L_ref = cell_area*30.e-3 # Amp + mono_Si_cell.I_o_ref = cell_area*5500.e-12 # Amp + mono_Si_cell.R_s = cell_area*1.33 # Ohm + mono_Si_cell.R_sh_ref = cell_area*750. # Ohm + mono_Si_cell.Adjust = None + mono_Si_cell.gamma_r = None + mono_Si_cell.Version = None + mono_Si_cell.PTC = None + + # The "base" devices, of which there are ideal, normal, and degraded versions + devices = [mono_Si_cell, CECMOD.SunPower_SPR_E20_327, + CECMOD.First_Solar_FS_495] + + # Initialize the output + gold_dataset = {"version": '1.0.0', + "python": sys.version, + "numpy": numpy.__version__, + "scipy": scipy.__version__, + "pvlib": pvlib.version.__version__, + "timestamp_utc_iso": datetime.datetime.utcnow().isoformat(), + "units": {"G": 'W/m^2', + "T": 'degC', + "i_l": 'A', + "i_0": 'A', + "r_s": 'Ohm', + "g_sh": 'S', + "nNsVth": 'V', + "v_gold": 'V', + "i_gold": 'A'}, + "devices": []} + + # For each ideal, normal, or degraded device, create matrix of I-V curves + for device in devices: + device_dict = {"name": device.name, + "Technology": device.Technology, + "N_s": device.N_s, + "iv_curves": []} + + # Choose bandgap parameters based on device technology + # Add new technologies if/when needed, should match a CEC module database type + # These are NOT saved, but should be versioned + if device.Technology == 'CdTe': + EgRef = 1.475 + dEgdT = -0.0003 + elif device.Technology == 'Mono-c-Si' or device.Technology == 'Multi-c-Si': + EgRef = 1.121 + dEgdT = -0.0002677 + else: + raise ValueError('Unsupported device technology.') + + # Do all "flavor" combinations of ideal device, regular device, and degraded device + r_s_scale_grid, g_sh_scale_grid = numpy.meshgrid( + [0., 1., 5.], [0., 1., 5.]) + + # For all "flavors" of this device, create I-V curves over the (G,T) matrix + for r_s_scale, g_sh_scale in zip(r_s_scale_grid.flat, g_sh_scale_grid.flat): + for G in G_list: + for T in T_list: + # Compute the model parameters at each irradiance-temperature combo + device_params = pvsystem.calcparams_desoto( + poa_global=G, temp_cell=T, + alpha_isc=device.alpha_sc, module_parameters=device, + EgRef=EgRef, dEgdT=dEgdT) + # More convienent variable names + i_l, i_0, r_s, r_sh, nNsVth = device_params + # Ideal, regular, or degraded series resistance + r_s = r_s_scale*r_s + # Ideal, regular, or degraded shunt conductance + # json spec excludes IEEE 754 inf, so use shunt conductance instead of shunt resistance + g_sh = g_sh_scale/r_sh + # Reverse engineer the diode voltage range + i_sc = pvsystem.i_from_v( + r_sh, r_s, nNsVth, 0., i_0, i_l) # Not a gold value + v_oc = pvsystem.v_from_i( + r_sh, r_s, nNsVth, 0., i_0, i_l) # Not a gold value + # For min diode voltage, go slightly less than Isc, even when r_s==0 + v_d_min = i_sc*r_s - 0.02*v_oc + # For max diode voltage, go slightly greater than Voc + v_d_max = 1.01*v_oc + # More I-V points towards Voc + v_d = v_d_min + \ + (v_d_max - v_d_min) * \ + numpy.log10(numpy.linspace(1., 10.**1.01, NUM_PTS)) + # Bishop's method is explicit and vectorized + i_gold = i_l - i_0*numpy.expm1(v_d/nNsVth) - g_sh*v_d + v_gold = v_d - r_s*i_gold + + # Record interoperable hex values for vi_pair in zip(v_gold, i_gold): + device_dict["iv_curves"].append( + { + "G": G.hex(), + "T": T.hex(), + "i_l": i_l.hex(), + "i_0": i_0.hex(), + "r_s": r_s.hex(), + "g_sh": g_sh.hex(), + "nNsVth": nNsVth.hex(), + "v_gold": [v.hex() for v in v_gold.tolist()], + "i_gold": [i.hex() for i in i_gold.tolist()] + } + ) + + # Solve the current sum at diode node residual as a numerically reliable interval + current_sum_residual_interval_list = \ + [interval(i_l) - interval(i_0) * + imath.expm1((interval(vi_pair[0]) + interval(vi_pair[1])*interval(r_s))/interval(nNsVth)) - + interval(g_sh)*(interval(vi_pair[0]) + interval(vi_pair[1])*interval(r_s)) - + interval(vi_pair[1]) for vi_pair in zip(v_gold, i_gold)] + + # Make sure the computed interval is within the specified tolerance + for v, i, current_sum_residual_interval in zip(v_gold, i_gold, current_sum_residual_interval_list): + if current_sum_residual_interval not in TOL_CURRENT_SUM_RESIDUAL_GOLD_INTERVAL: + raise ValueError("Residual interval {} not in {}, for (V,I)=({},{})".format( + current_sum_residual_interval, TOL_CURRENT_SUM_RESIDUAL_GOLD_INTERVAL, v, i)) + + # Append this I-V curve to the list for this device + gold_dataset["devices"].append(device_dict) + + # When requested, write dataset in json file, skips empty path strings too + if json_filepath: + with open(json_filepath, 'w') as fp: + json.dump(gold_dataset, fp) + + # Return the dictionary, but note floating point values in hex format + return gold_dataset + + +def gauge_against_gold_dataset(test_func_dict, json_filepath=None): + ''' + TODO + Function returns worst curve for each device for each function in test_func_dict + ''' + + # Initialize output + worst_results = [] + + # Generate gold dataset on the fly if not specified as file + if not json_filepath: + gold_dataset = generate_gold_dataset() + else: + with open(json_filepath, 'r') as fp: + gold_dataset = json.load(fp) + + # Follow SemVer and maintain backwards compatibility whenever possible + version = gold_dataset["version"] + print("{} at version {}".format(json_filepath, version)) + + devices = gold_dataset["devices"] + for device in devices: + # Reset the worst max abs residuals over all I-V curves per device + worst_i_test_current_sum_max_abs_res = 0. + worst_i_test_terminal_max_abs_res = 0. + worst_v_test_current_sum_max_abs_res = 0. + worst_v_test_terminal_max_abs_res = 0. + + # Initialize the worst results for this device + # Note that a caller may choose not to test all the possible functions + # FUTURE This dictionary can be expanded in a backwards compatible manner to support + # additional gold values and residuals for Isc, R@Isc, Ix, Pmp, Ixx, R@Voc, and Voc + device_dict = \ + {"name": device["name"], + "Technology": device["Technology"], + "N_s": device["N_s"]} + if "i_from_v" in test_func_dict: + device_dict["i_from_v"] = {"current_sum": None, "terminal": None} + if "v_from_i" in test_func_dict: + device_dict["v_from_i"] = {"current_sum": None, "terminal": None} + + # Gauge each I-V curve for current sum and terminal residuals + for iv_curve in device["iv_curves"]: + # Load 5 single diode model parameters for each I-V curve + # Floats are saved in lossless, interchangeable hex format + g_sh = float.fromhex(iv_curve["g_sh"]) + # json spec doesn't support IEEE 754 inf, so shunt conductance saved instead + # FUTURE Switch pvlib over to using shunt conductance instead of shunt resistance + if g_sh == 0.: + r_sh = numpy.inf + else: + r_sh = 1./g_sh + r_s = float.fromhex(iv_curve["r_s"]) + nNsVth = float.fromhex(iv_curve["nNsVth"]) + i_0 = float.fromhex(iv_curve["i_0"]) + i_l = float.fromhex(iv_curve["i_l"]) + v_gold = numpy.array([float.fromhex(v) + for v in iv_curve["v_gold"]]) + i_gold = numpy.array([float.fromhex(i) + for i in iv_curve["i_gold"]]) + + # Check if caller wants to test an i_from_v function + if "i_from_v" in test_func_dict: + # Compute test values using provided test function that meets pvlib API + i_test = test_func_dict["i_from_v"]( + r_sh, r_s, nNsVth, v_gold, i_0, i_l) + + # Gauge computed values against gold values for sum of currents residual at diode node + i_test_current_sum_res = i_l - i_0 * \ + numpy.expm1((v_gold + i_test*r_s)/nNsVth) - \ + g_sh*(v_gold + i_test*r_s) - i_test + i_test_current_sum_max_abs_res = numpy.amax( + numpy.abs(i_test_current_sum_res)) + if worst_i_test_current_sum_max_abs_res < i_test_current_sum_max_abs_res: + worst_i_test_current_sum_max_abs_res = i_test_current_sum_max_abs_res + device_dict["i_from_v"]["current_sum"] = \ + { + "G": float.fromhex(iv_curve["G"]), + "T": float.fromhex(iv_curve["T"]), + "i_l": i_l, + "i_0": i_0, + "r_s": r_s, + "r_sh": r_sh, + "nNsVth": nNsVth, + "v_gold": v_gold.tolist(), + "i_gold": i_gold.tolist(), + "i_test": i_test.tolist(), + "residual": i_test_current_sum_res.tolist(), + "max_abs_residual": i_test_current_sum_max_abs_res.tolist() + } + + # Gauge computed values against gold values for difference residual at terminal + i_test_terminal_res = i_test - i_gold + i_test_terminal_max_abs_res = numpy.amax( + numpy.abs(i_test_terminal_res)) + if worst_i_test_terminal_max_abs_res < i_test_terminal_max_abs_res: + worst_i_test_terminal_max_abs_res = i_test_terminal_max_abs_res + device_dict["i_from_v"]["terminal"] = \ + { + "G": float.fromhex(iv_curve["G"]), + "T": float.fromhex(iv_curve["T"]), + "i_l": i_l, + "i_0": i_0, + "r_s": r_s, + "r_sh": r_sh, + "nNsVth": nNsVth, + "v_gold": v_gold.tolist(), + "i_gold": i_gold.tolist(), + "i_test": i_test.tolist(), + "residual": i_test_terminal_res.tolist(), + "max_abs_residual": i_test_terminal_max_abs_res.tolist() + } + + # Check if caller wants to test a v_from_i function + if "v_from_i" in test_func_dict: + # Compute test values using provided test function that meets pvlib API + v_test = test_func_dict["v_from_i"]( + r_sh, r_s, nNsVth, i_gold, i_0, i_l) + + # Gauge computed values against gold values for sum of currents residual at diode node + v_test_current_sum_res = i_l - i_0 * \ + numpy.expm1((v_test + i_gold*r_s)/nNsVth) - \ + g_sh*(v_test + i_gold*r_s) - i_gold + v_test_current_sum_max_abs_res = numpy.amax( + numpy.abs(v_test_current_sum_res)) + if worst_v_test_current_sum_max_abs_res < v_test_current_sum_max_abs_res: + worst_v_test_current_sum_max_abs_res = v_test_current_sum_max_abs_res + device_dict["v_from_i"]["current_sum"] = \ + { + "G": float.fromhex(iv_curve["G"]), + "T": float.fromhex(iv_curve["T"]), + "i_l": i_l, + "i_0": i_0, + "r_s": r_s, + "r_sh": r_sh, + "nNsVth": nNsVth, + "v_gold": v_gold.tolist(), + "i_gold": i_gold.tolist(), + "v_test": v_test.tolist(), + "residual": v_test_current_sum_res.tolist(), + "max_abs_residual": v_test_current_sum_max_abs_res.tolist() + } + + # Gauge computed values against gold values for difference residual at terminal + v_test_terminal_res = v_test - v_gold + v_test_terminal_max_abs_res = numpy.amax( + numpy.abs(v_test_terminal_res)) + if worst_v_test_terminal_max_abs_res < v_test_terminal_max_abs_res: + worst_v_test_terminal_max_abs_res = v_test_terminal_max_abs_res + device_dict["v_from_i"]["terminal"] = \ + { + "G": float.fromhex(iv_curve["G"]), + "T": float.fromhex(iv_curve["T"]), + "i_l": i_l, + "i_0": i_0, + "r_s": r_s, + "r_sh": r_sh, + "nNsVth": nNsVth, + "v_gold": v_gold.tolist(), + "i_gold": i_gold.tolist(), + "v_test": v_test.tolist(), + "residual": v_test_terminal_res.tolist(), + "max_abs_residual": v_test_terminal_max_abs_res.tolist() + } + + # Append the worst results found for this device to the output dict + # For convienent post processing and analysis, floats are NOT in hex format + worst_results.append(device_dict) + + # Unit test consumers should be able to pass/fail based on the worst results returned for each device + return(worst_results) + + +# TODO Determine the final functionality here for command line operation +# TODO What about logging warnings along the way? +if __name__ == '__main__': + + generate_gold_dataset("gold_dataset.json") + print(json.dumps(gauge_against_gold_dataset( + {"i_from_v": pvsystem.i_from_v, "v_from_i": pvsystem.v_from_i}, json_filepath="gold_dataset.json"))) diff --git a/pvlib/data/gold/worst_pvlib_computaitons.json b/pvlib/data/gold/worst_pvlib_computaitons.json new file mode 100644 index 0000000000..407bb86eda --- /dev/null +++ b/pvlib/data/gold/worst_pvlib_computaitons.json @@ -0,0 +1,193 @@ +[{ + "name": "Bishop_ref_cell", + "Technology": "Mono-c-Si", + "N_s": 1, + "i_from_v": { + "current_sum": { + "G": 1000.0, + "T": 75.0, + "i_l": 0.34609999999999996, + "i_0": 3.0407536094957474e-05, + "r_s": 26.6, + "r_sh": Infinity, + "nNsVth": 0.04500185335353259, + "v_gold": [-1.5089440039918927, -1.1032699896018565, -0.7960826132220626, -0.5468527286276292, 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90.28290069722556, 92.14788069097281], + "i_gold": [1.7091360000000133, 1.7091359999968911, 1.709135999846357, 1.7091359967540916, 1.7091359601035734, 1.7091356639481947, 1.7091338581602213, 1.709124981334341, 1.7090881655405494, 1.7089550821206059, 1.7085255701899236, 1.7072651167669164, 1.7038535887446207, 1.6952410629510586, 1.674776156397324, 1.6286651183066487, 1.529541028238012, 1.3251972758908988, 0.919469381445011, 0.14070563550841464, -1.30891476629178], + "v_test": [-1.8281635970827164, 13.528021144370712, 24.61673387337263, 33.30813854163662, 40.45674317958094, 46.52857466426154, 51.80595132230372, 56.47292020412927, 60.65616067463826, 64.44659819433922, 67.91170971057608, 71.10295203202074, 74.06046327751105, 76.81615691768918, 79.39582588831863, 81.82061409309009, 84.10807064384811, 86.27292123398371, 88.32764310141471, 90.28290069722556, 92.14788069097281], + "residual": [-0.021873668807252056, 2.7646831329164456e-05, -5.533948552738366e-07, 5.12100086780265e-08, 7.491784970170556e-09, 4.212594717500906e-10, -1.3577761137639754e-10, 1.4715340057591675e-11, -4.121147867408581e-12, -1.4637180356658064e-12, 5.684341886080802e-14, 1.1368683772161603e-13, 5.684341886080802e-14, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], + "max_abs_residual": 0.021873668807252056 + } + } +}] \ No newline at end of file diff --git a/pvlib/pvsystem.py b/pvlib/pvsystem.py index 40ef7c2f0e..94329a811c 100644 --- a/pvlib/pvsystem.py +++ b/pvlib/pvsystem.py @@ -565,6 +565,7 @@ class LocalizedPVSystem(PVSystem, Location): See the :py:class:`PVSystem` class for an object model that describes an unlocalized PV system. """ + def __init__(self, pvsystem=None, location=None, **kwargs): # get and combine attributes from the pvsystem and/or location @@ -1814,11 +1815,206 @@ def _pwr_optfcn(df, loc): return I * df[loc] +def current_sum_diode_node(voltage, current, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent): + ### Computes the sum of the currents at the diode node in the local 5-parameter single-diode equivalent-circuit model. ### + + # Inputs (any broadcast-compatible combination of scalars and numpy arrays): + # Observables at prevailing conditions (device-level): + # voltage is terminal voltage [V] + # current is terminal current [A] + # Parameters at prevailing conditions (device-level): + # photocurrent is photocurrent [A] + # saturation_current is diode reverse saturation current [A] + # nNsVth is modified diode ideality factor [V] + # resistance_series is series resistance [Ohm] + # conductance_shunt is parallel conductance [S] + + # Outputs (device-level, at each combination of inputs): + # current_sum is sum of currents at the diode node [A], preserving the resolved type of the inputs + + # Voltage at diode node + v_plus_i_times_r_s = voltage + current*resistance_series + + # Sum of currents at diode node + current_sum = photocurrent - saturation_current * \ + np.expm1(v_plus_i_times_r_s/nNsVth) - \ + conductance_shunt*v_plus_i_times_r_s - current + + # Make sure we return an np.ndarray if any input was that type (undoes any casting of rank-0 np.ndarray to np.float64) + if any(map(lambda x: isinstance(x, np.ndarray), [voltage, current, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent])): + current_sum = np.asarray(current_sum) + + return current_sum + + +def v_oc(resistance_shunt, resistance_series, nNsVth, saturation_current, photocurrent): + ''' Comput open circuit voltage''' + try: + from scipy.optimize import brentq + except ImportError: + raise ImportError('This function requires scipy') + + # This transforms Gsh=1/Rsh, including ideal Rsh=np.inf into Gsh=0., which + # is generally more numerically stable + conductance_shunt = 1./resistance_shunt + + # Check for all scalar or rank-0 inputs, any transform for consistent indexing + if all(map(lambda x: np.isscalar(x) or (isinstance(x, np.ndarray) and not x.shape), [conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent])): + all_scalar_or_rank0_inputs = True + rank0_output = any(map(lambda x: isinstance(x, np.ndarray), [ + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent])) + scalar_output = not rank0_output + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent = map( + lambda x: np.array([x]), [conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent]) + else: + all_scalar_or_rank0_inputs = False + rank0_output = False + scalar_output = False + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent = np.broadcast_arrays( + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # Get bracket maximum from corresponding ideal diode equation + b = nNsVth*(np.log(photocurrent + saturation_current) - np.log(saturation_current)) + + # Define main argument to scipy.optimize.brentq() + def f(v_oc, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent): + return current_sum_diode_node(v_oc, 0., conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # This allows us to make a ufunc out of brentq() + array_zero_func = np.frompyfunc(lambda b, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent: brentq( + f, 0., b, args=(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent), maxiter=1000), 6, 1) + + # Solve for output + v_oc = array_zero_func(b, conductance_shunt, resistance_series, + nNsVth, saturation_current, photocurrent) + + # Make sure we return proper type outputs corresponding to inputs + v_oc = np.float64(v_oc) + if not scalar_output: + v_oc = np.array(v_oc) + + return v_oc + + def v_from_i(resistance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent): ''' Device voltage at the given device current for the single diode model. + Uses the single diode model (SDM) as described in, e.g., + Jain and Kapoor 2004 [1]. + The solution uses scipy.optimize.brentq(). + Ideal device parameters are specified by resistance_shunt=np.inf and + resistance_series=0. + Inputs to this function can include scalars and pandas.Series, but it is + the caller's responsibility to ensure that the arguments are all float64 + and within the proper ranges. + + Parameters + ---------- + resistance_shunt : numeric + Shunt resistance in ohms under desired IV curve conditions. + Often abbreviated ``Rsh``. + 0 < resistance_shunt <= numpy.inf + + resistance_series : numeric + Series resistance in ohms under desired IV curve conditions. + Often abbreviated ``Rs``. + 0 <= resistance_series < numpy.inf + + nNsVth : numeric + The product of three components. 1) The usual diode ideal factor + (n), 2) the number of cells in series (Ns), and 3) the cell + thermal voltage under the desired IV curve conditions (Vth). The + thermal voltage of the cell (in volts) may be calculated as + ``k*temp_cell/q``, where k is Boltzmann's constant (J/K), + temp_cell is the temperature of the p-n junction in Kelvin, and + q is the charge of an electron (coulombs). + 0 < nNsVth + + current : numeric + The current in amperes under desired IV curve conditions. + + saturation_current : numeric + Diode saturation current in amperes under desired IV curve + conditions. Often abbreviated ``I_0``. + 0 < saturation_current + + photocurrent : numeric + Light-generated current (photocurrent) in amperes under desired + IV curve conditions. Often abbreviated ``I_L``. + 0 <= photocurrent + + Returns + ------- + current : np.ndarray or scalar + + References + ---------- + [1] A. Jain, A. Kapoor, "Exact analytical solutions of the + parameters of real solar cells using Lambert W-function", Solar + Energy Materials and Solar Cells, 81 (2004) 269-277. + ''' + try: + from scipy.optimize import brentq + except ImportError: + raise ImportError('This function requires scipy') + + # This transforms Gsh=1/Rsh, including ideal Rsh=np.inf into Gsh=0., which + # is generally more numerically stable + conductance_shunt = 1./resistance_shunt + + # Check for all scalar or rank-0 inputs, any transform for consistent indexing + if all(map(lambda x: np.isscalar(x) or (isinstance(x, np.ndarray) and not x.shape), [conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent])): + all_scalar_or_rank0_inputs = True + rank0_output = any(map(lambda x: isinstance(x, np.ndarray), [ + conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent])) + scalar_output = not rank0_output + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent = map( + lambda x: np.array([x]), [conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent]) + else: + all_scalar_or_rank0_inputs = False + rank0_output = False + scalar_output = False + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent = np.broadcast_arrays( + conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent) + + # Check current range to ensure good root bracketing + if np.any(current < 0.) or np.any(i_sc(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) < current): + raise ValueError("Current input out of range [0., Isc], current = {}, Isc = {}".format(current, i_sc(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent))) + + # Compute initially for ideal device with zero resistance_series and zero conductance_shunt + b = nNsVth*(np.log(photocurrent + saturation_current - current) - np.log(saturation_current)) + + # Define main argument to scipy.optimize.brentq() + def f(voltage, conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent): + return current_sum_diode_node(voltage, current, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # This allows us to make a ufunc out of brentq() + array_zero_func = np.frompyfunc(lambda b, conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent: brentq( + f, 0., b, args=(conductance_shunt, resistance_series, nNsVth, current, saturation_current, photocurrent), maxiter=1000), 7, 1) + + # Solve for output + voltage = array_zero_func(b, conductance_shunt, resistance_series, + nNsVth, current, saturation_current, photocurrent) + + # Make sure we return proper type outputs corresponding to inputs + voltage = np.float64(voltage) + if not scalar_output: + voltage = np.array(voltage) + + return voltage + + +def v_from_i_original(resistance_shunt, resistance_series, nNsVth, current, + saturation_current, photocurrent): + ''' + Device voltage at the given device current for the single diode model. + Uses the single diode model (SDM) as described in, e.g., Jain and Kapoor 2004 [1]. The solution is per Eq 3 of [1] except when resistance_shunt=numpy.inf, @@ -1952,11 +2148,174 @@ def v_from_i(resistance_shunt, resistance_series, nNsVth, current, return V +def i_sc(resistance_shunt, resistance_series, nNsVth, saturation_current, photocurrent): + ''' Comput short circuit current''' + try: + from scipy.optimize import brentq + except ImportError: + raise ImportError('This function requires scipy') + + # This transforms Gsh=1/Rsh, including ideal Rsh=np.inf into Gsh=0., which + # is generally more numerically stable + conductance_shunt = 1./resistance_shunt + + # Check for all scalar or rank-0 inputs, any transform for consistent indexing + if all(map(lambda x: np.isscalar(x) or (isinstance(x, np.ndarray) and not x.shape), [conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent])): + all_scalar_or_rank0_inputs = True + rank0_output = any(map(lambda x: isinstance(x, np.ndarray), [ + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent])) + scalar_output = not rank0_output + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent = map( + lambda x: np.array([x]), [conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent]) + else: + all_scalar_or_rank0_inputs = False + rank0_output = False + scalar_output = False + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent = np.broadcast_arrays( + conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # Compute initially for ideal device with zero resistance_series and zero conductance_shunt + b = photocurrent + + # Define main arguments to scipy.optimize.brentq() + def f(i_sc, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent): + return current_sum_diode_node(0., i_sc, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # This allows us to make a ufunc out of brentq() + array_zero_func = np.frompyfunc(lambda b, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent: brentq( + f, 0., b, args=(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent), maxiter=1000), 6, 1) + + # Solve for output (brentq() throws if convergence flag is not true) + i_sc = array_zero_func(b, conductance_shunt, resistance_series, + nNsVth, saturation_current, photocurrent) + + # Make sure we return proper type outputs corresponding to inputs + i_sc = np.float64(i_sc) + if not scalar_output: + i_sc = np.array(i_sc) + + return i_sc + + def i_from_v(resistance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent): ''' Device current at the given device voltage for the single diode model. + Uses the single diode model (SDM) as described in, e.g., + Jain and Kapoor 2004 [1]. + The solution uses scipy.optimize.brentq(). + Ideal device parameters are specified by resistance_shunt=np.inf and + resistance_series=0. + Inputs to this function can include scalars and pandas.Series, but it is + the caller's responsibility to ensure that the arguments are all float64 + and within the proper ranges. + + Parameters + ---------- + resistance_shunt : numeric + Shunt resistance in ohms under desired IV curve conditions. + Often abbreviated ``Rsh``. + 0 < resistance_shunt <= numpy.inf + + resistance_series : numeric + Series resistance in ohms under desired IV curve conditions. + Often abbreviated ``Rs``. + 0 <= resistance_series < numpy.inf + + nNsVth : numeric + The product of three components. 1) The usual diode ideal factor + (n), 2) the number of cells in series (Ns), and 3) the cell + thermal voltage under the desired IV curve conditions (Vth). The + thermal voltage of the cell (in volts) may be calculated as + ``k*temp_cell/q``, where k is Boltzmann's constant (J/K), + temp_cell is the temperature of the p-n junction in Kelvin, and + q is the charge of an electron (coulombs). + 0 < nNsVth + + voltage : numeric + The voltage in Volts under desired IV curve conditions. + + saturation_current : numeric + Diode saturation current in amperes under desired IV curve + conditions. Often abbreviated ``I_0``. + 0 < saturation_current + + photocurrent : numeric + Light-generated current (photocurrent) in amperes under desired + IV curve conditions. Often abbreviated ``I_L``. + 0 <= photocurrent + + Returns + ------- + current : np.ndarray or scalar + + References + ---------- + [1] A. Jain, A. Kapoor, "Exact analytical solutions of the + parameters of real solar cells using Lambert W-function", Solar + Energy Materials and Solar Cells, 81 (2004) 269-277. + ''' + try: + from scipy.optimize import brentq + except ImportError: + raise ImportError('This function requires scipy') + + # This transforms Gsh=1/Rsh, including ideal Rsh=np.inf into Gsh=0., which + # is generally more numerically stable + conductance_shunt = 1./resistance_shunt + + # Check for all scalar or rank-0 inputs, any transform for consistent indexing + if all(map(lambda x: np.isscalar(x) or (isinstance(x, np.ndarray) and not x.shape), [conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent])): + all_scalar_or_rank0_inputs = True + rank0_output = any(map(lambda x: isinstance(x, np.ndarray), [ + conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent])) + scalar_output = not rank0_output + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent = map( + lambda x: np.array([x]), [conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent]) + else: + all_scalar_or_rank0_inputs = False + rank0_output = False + scalar_output = False + # Make sure that we can index numpy arrays + conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent = np.broadcast_arrays( + conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent) + + # Check voltage range to ensure good root bracketing + if np.any(voltage < 0.) or np.any(v_oc(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) < voltage): + raise ValueError("Voltage input out of range [0., Voc], voltage = {}, Voc = {}".format(voltage, v_oc(conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent))) + + # Compute initially for ideal device with zero resistance_series and zero conductance_shunt + b = photocurrent - saturation_current*np.expm1(voltage/nNsVth) + + # Define main arguments to scipy.optimize.brentq() + def f(current, conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent): + return current_sum_diode_node(voltage, current, conductance_shunt, resistance_series, nNsVth, saturation_current, photocurrent) + + # This allows us to make a ufunc out of brentq() + array_zero_func = np.frompyfunc(lambda b, conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent: brentq( + f, 0., b, args=(conductance_shunt, resistance_series, nNsVth, voltage, saturation_current, photocurrent), maxiter=1000), 7, 1) + + # Solve for output (brentq() throws if convergence flag is not true) + current = array_zero_func(b, conductance_shunt, resistance_series, + nNsVth, voltage, saturation_current, photocurrent) + + # Make sure we return proper type outputs corresponding to inputs + current = np.float64(current) + if not scalar_output: + current = np.array(current) + + return current + + +def i_from_v_original(resistance_shunt, resistance_series, nNsVth, voltage, + saturation_current, photocurrent): + ''' + Device current at the given device voltage for the single diode model. + Uses the single diode model (SDM) as described in, e.g., Jain and Kapoor 2004 [1]. The solution is per Eq 2 of [1] except when resistance_series=0,