Useful Energy formulas
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This document contains a list of useful constants in physics and formulas related to solar energy and photovoltaics. It includes the speed of light, elementary charge, Planck's constant, Boltzmann's constant, and vacuum permittivity. Formulas cover topics like the speed of light, photon energy, irradiance, air mass, diffusion currents, drift currents, diffusion length, solar cell I-V curves, Lambert-Beer's law, Snell's law, and Fresnel equations. Additional formulas address sensible and latent heat, Fourier's law, Newton's law of cooling, heat storage, temperature coefficients, NOCT model, module ideality factor, battery parameters, and state of charge.
![Week 2
Law of mass action
Diffusion current density
(electrons)
Diffusion current density
(holes)
Drift current density
(electrons)
Drift current density (holes)
Diffusion length (electrons)
Formula
Diffusion length (holes)
√
√
Week 3
J-V curve of an ideal
solar cell
Formula
[
J-V curve of a non-ideal
solar cell
)
(
(
(
)
)
)
[
Open-circuit voltage
(
(
Fill factor
Efficiency
Lambert-Beer´s law
Snell´s law
( )
∫
Short-circuit current
(
)
( )
( )
( )
]
]
)](https://image.slidesharecdn.com/constantsformulasweek7-131211185457-phpapp02/85/Useful-Energy-formulas-2-320.jpg)
![Week 6
Sensible heat
Formula
(
)
Latent heat
Fourier’s law
Newton’s law
Energy per area emitted by a
black body
Energy per area emitted by a
grey body
Heat in a collector
Energy stored in a water tank
(
Heat loss of a water tank
Heat stored in a phase
change material
Solar-to-hydrogen efficiency
[ (
)
)
(
⋅
3
)]](https://image.slidesharecdn.com/constantsformulasweek7-131211185457-phpapp02/85/Useful-Energy-formulas-4-320.jpg)
Useful Energy formulas
- 1. USEFUL CONSTANTS Constant Speed of light in vacuum Elementary charge Planck’s constant Boltzmann’s constant Vacuum permittivity Symbol c q h k ε0 Value 2.998 108 1.6 10-19 6.626 10-34 1.38 10-23 8.854 10-12 USEFUL FORMULAS Week 1 Speed of light in vacuum Energy of a photon Irradiance Formula ∫ ( ) Air mass Spectral photon flux Photon flux ( ) ∫ ( ) ( ) Units m/s C Js J/K F/m
- 2. Week 2 Law of mass action Diffusion current density (electrons) Diffusion current density (holes) Drift current density (electrons) Drift current density (holes) Diffusion length (electrons) Formula Diffusion length (holes) √ √ Week 3 J-V curve of an ideal solar cell Formula [ J-V curve of a non-ideal solar cell ) ( ( ( ) ) ) [ Open-circuit voltage ( ( Fill factor Efficiency Lambert-Beer´s law Snell´s law ( ) ∫ Short-circuit current ( ) ( ) ( ) ( ) ] ] )
- 3. Fresnel reflection coefficient, ppolarization Fresnel transmission coefficient, ppolarization Fresnel reflection coefficient, spolarization Fresnel transmission coefficient, spolarization ( ( Week 4 Finger’s resistance Fick’s law ) ) Formula
- 4. Week 6 Sensible heat Formula ( ) Latent heat Fourier’s law Newton’s law Energy per area emitted by a black body Energy per area emitted by a grey body Heat in a collector Energy stored in a water tank ( Heat loss of a water tank Heat stored in a phase change material Solar-to-hydrogen efficiency [ ( ) ) ( ⋅ 3 )]
- 5. Week 7 Temperature coefficient Formula X (T ) X ST C dX (T TST C ) dT ( NOCT 20C ) 800 W 2 m Tcell Tambient G NOCT Model Module Ideality Factor MIF EPV ,T Eexp ected At MPP I V V To the right of MPP I V V To the left of MPP I V V Battery capacity C-rate Storage round-trip efficiency Ebatt CbattV C rate I Cbatt Eout 100 Ein Battery Voltaic efficiency V Vdisch arg e Battery Coulombic efficiency C Qdisch arg e Total battery efficiency State of charge Depth of discharge 1h Vch arg e Qch arg e 100 100 batt VC SOC DOD Eavailable 100 CbattV Edisch arg ed CbattV 100