pvlib.pvarray.batzelis#

pvlib.pvarray.batzelis(effective_irradiance, temp_cell, v_mp, i_mp, v_oc, i_sc, alpha_sc, beta_voc)[source]#

Compute maximum power point, open circuit, and short circuit values using Batzelis’s method.

Batzelis’s method (described in Section III of [1]) is a fast method of computing the maximum power current and voltage. The calculations are rooted in the De Soto single-diode model, but require only typical datasheet information.

Parameters:

effective_irradiance (numeric, non-negative) – Effective irradiance incident on the PV module. [Wm⁻²]
temp_cell (numeric) – PV module operating temperature. [°C]
v_mp (float) – Maximum power point voltage at STC. [V]
i_mp (float) – Maximum power point current at STC. [A]
v_oc (float) – Open-circuit voltage at STC. [V]
i_sc (float) – Short-circuit current at STC. [A]
alpha_sc (float) – Short-circuit current temperature coefficient at STC. [A/K]
beta_voc (float) – Open-circuit voltage temperature coefficient at STC. [V/K]

Returns:

dict – The returned dict-like object contains the keys/columns:

p_mp - power at maximum power point. [W]
i_mp - current at maximum power point. [A]
v_mp - voltage at maximum power point. [V]
i_sc - short circuit current. [A]
v_oc - open circuit voltage. [V]

Notes

This method is the combination of three sub-methods for:

estimating single-diode model parameters from datasheet information
translating SDM parameters from STC to operating conditions (taken from the De Soto model)
estimating the MPP, OC, and SC points on the resulting I-V curve.

At extremely low irradiance (e.g. 1e-10 Wm⁻²), this model can produce negative voltages. This function clips any negative voltages to zero.

References

Examples

>>> params = {'i_sc': 15.98, 'v_oc': 50.26, 'i_mp': 15.27, 'v_mp': 42.57,
...           'alpha_sc': 0.007351, 'beta_voc': -0.120624}
>>> batzelis(np.array([1000, 800]), np.array([25, 30]), **params)
{'p_mp': array([650.0439    , 512.99199048]),
 'i_mp': array([15.27      , 12.23049303]),
 'v_mp': array([42.57      , 41.94368856]),
 'i_sc': array([15.98    , 12.813404]),
 'v_oc': array([50.26      , 49.26532902])}