Tasirin Zazzabi Launi da CRI na LED Farin Hasken Kan Ingantaccen Aiki na Hasken Rana na Cikin Gida

2.1 Lissafin Cikakken Ma'auni

Binciken yana amfani da cikakkun lissafin ma'auni dangane da ka'idar Shockley-Queisser don tantance madaidaicin iyakar ingantaccen aiki na IPVs a ƙarƙashin yanayin LED daban-daban. Wannan hanyar tana la'akari da rashin daidaituwar bakan tsakanin fitowar LED da halayen shayar da kayan aikin hasken rana.

2.2 Binciken Bakan LED

An bincika LED na farin haske na kasuwanci masu bambancin CT (2200K zuwa 6500K) da ƙimar CRI (70, 80, 90). An auna rarraba ikon bakan kowane LED kuma an yi amfani da shi don ƙididdige juzu'in photon da ake samu don jujjuyawar hasken rana.

3.1 Tasirin Zazzabin Launi

Ƙananan zafin launi (2200-3000K) a koyaushe suna haifar da mafi girman ingantaccen aiki na ka'idar (har zuwa 45% inganci fiye da LED 6500K) kuma suna buƙatar ƙarancin makamashi mafi kyau na bandgap (kusan raguwar 0.2-0.3 eV). Wannan ya yi daidai da ƙara abun ciki na bakan ja a cikin LED masu dumi-fari.

3.2 Binciken Tasirin CRI

Sabanin zato na baya, manyan LED na CRI (CRI 90) suna buƙatar ƙananan kayan bandgap (1.4-1.6 eV) idan aka kwatanta da takwarorinsu na ƙananan CRI (1.7-1.9 eV). Faɗaɗɗen rarraba bakan a cikin manyan LED na CRI ya ƙara zuwa yankin ja, yana canza mafi kyawun buƙatun kayan aiki.

3.3 Kwatancen Aikin Kayan

Yayin da mafi kyawun aikin IPV yana buƙatar manyan kayan bandgap a ƙarƙashin hasken ƙananan CRI, fasahohi masu girma kamar silicon crystalline (c-Si) da CdTe suna nuna ingantaccen aiki a ƙarƙashin hasken babban CRI saboda mafi kyawun daidaitawar bakan tare da bayanan shayarsu.

4.1 Tsarin Lissafi

Cikakkun lissafin ma'auni sun dogara ne akan ƙayyadaddun iyakar Shockley-Queisser da aka daidaita don yanayin cikin gida:

$\\eta_{max} = \\frac{J_{sc} \\times V_{oc} \\times FF}{P_{in}}$

Inda $J_{sc} = q \\int_{\\lambda_{min}}^{\\lambda_{max}} EQE(\\lambda) \\Phi_{photon}(\\lambda) d\\lambda$

Mafi kyawun makamashin bandgap $E_g^{opt}$ an ƙaddara shi ta hanyar haɓaka aikin inganci $\\eta(E_g)$ ga kowane bakan LED.

4.2 Aiwar Code

import numpy as np
import pandas as pd

def calculate_ipv_efficiency(led_spectrum, bandgap_energy):
    """
    Calculate theoretical IPV efficiency for given LED spectrum and bandgap
    
    Parameters:
    led_spectrum: DataFrame with columns ['wavelength_nm', 'irradiance_w_m2_nm']
    bandgap_energy: Bandgap energy in eV
    
    Returns:
    efficiency: Theoretical maximum efficiency
    """
    h = 6.626e-34  # Planck's constant
    c = 3e8        # Speed of light
    q = 1.602e-19  # Electron charge
    
    # Convert wavelengths to energies
    wavelengths = led_spectrum['wavelength_nm'].values * 1e-9
    energies = (h * c) / wavelengths / q
    
    # Calculate photon flux
    photon_flux = led_spectrum['irradiance_w_m2_nm'] * wavelengths / (h * c)
    
    # Calculate current density (assuming perfect EQE above bandgap)
    usable_photons = photon_flux[energies >= bandgap_energy]
    j_sc = q * np.sum(usable_photons)
    
    # Simplified efficiency calculation
    input_power = np.sum(led_spectrum['irradiance_w_m2_nm'])
    efficiency = (j_sc * 0.7 * 1.0) / input_power  # Assuming typical Voc and FF
    
    return efficiency

# Example usage for different CRI conditions
bandgaps = np.linspace(1.0, 2.5, 100)
efficiencies_cri70 = [calculate_ipv_efficiency(led_cri70, eg) for eg in bandgaps]
efficiencies_cri90 = [calculate_ipv_efficiency(led_cri90, eg) for eg in bandgaps]