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TEMPERATURE DEPENDENCE OF SATURATION CURRENT

Literature

pvmismatch.pvcell.PVcell.Isat1 and Isat2 scales J01 and J02

• I0nT/I0n0=(T/T0)**3 * exp[ -qEg/nk * (1/To-1/T) ]

pvlib.pvsystem.calcparams_desoto

• E_g = EgRef * (1 + dEgdT*(Tcell_K - Tref_K))
• nNsVth = nNsVth_ref * (Tcell_K / Tref_K)
• I0nT/I0n0=(T/T0)**3 * exp[ qEg0/(kT0) - qEgT/(kT)]

pvlib.pvsystem.calcparams_pvsyst

• gamma = gamma_ref + mu_gamma * (Tcell_K - Tref_K)
• nNsVth = gamma * k / q * cells_in_series * Tcell_K
• I0nT/I0n0=(T/T0)**3 * exp[ -qEg/(k*gamma) * (1/To-1/T) ]

Kinsey PIP v16 p503 (2008) also has different gamma term -> Bhattacharya, Varshini

Perl et al (2016) show great data to 400°C for n=1 & n=2

• J0n ~ (ni(T)^2)^(1/n) ~ [T^3 exp(-Eg/nkT)]^(1/n) for n=1 and n=2

What does PVcircuit do?

We scale with Jdb(T)

• J0n ~ (Jdb(T))^(1/n) ~ [T^3 exp(-Eg/nkT) (Eg/kT + 1)^2]^(1/n) for all n

Braun 2012 show this discrepancy between Jdb(T) and empirical J01(T) ~ ni^2