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Related papers: Solar Cells, Lambert W and the LogWright Functions

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Single junction Si solar cells dominate photovoltaics but are close to their efficiency limits. This paper presents ideal limiting efficiencies for tandem and triple junction multijunction solar cells subject only to the constraint of the…

Materials Science · Physics 2013-12-11 J. P. Connolly , D. Mencaraglia , C. Renard , D. Bouchier

In this work, novel, high-throughput metrology methods are used to perform a detailed performance loss analysis of approximately 400 industrial crystalline silicon solar cells, all coming from the same production line. The characterization…

Distributed photovoltaic (DPV) systems are essential for advancing renewable energy applications and achieving energy independence. Accurate DPV power forecasting can optimize power system planning and scheduling while significantly…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Huapeng Lin , Miao Yu

Low cost, highly efficient, and stable solar cells demand low temperature processing, less stringent criteria on materials, and possibility of dynamic recovery from long term degradation: a combination of features unachievable from the…

Applied Physics · Physics 2021-04-07 Nithin Chatterji , Swasti Bhatia , Anil Kumar , Aldrin Antony , Pradeep R. Nair

We introduce dPV, an end-to-end differentiable photovoltaic (PV) cell simulator based on the drift-diffusion model and Beer-Lambert law for optical absorption. dPV is programmed in Python using JAX, an automatic differentiation (AD) library…

Computational Physics · Physics 2021-12-10 Sean Mann , Eric Fadel , Samuel S. Schoenholz , Ekin D. Cubuk , Steven G. Johnson , Giuseppe Romano

Hard X-ray spectra in solar flares provide knowledge of the electron spectrum that results from acceleration and propagation in the solar atmosphere. However, the inference of the electron spectra from solar X-ray spectra is an ill-posed…

Astrophysics · Physics 2009-11-10 E. P. Kontar , M. Piana , A. M. Massone , A. G. Emslie , J. C. Brown

Much research has been carried out on shrinkage methods for real-valued covariance matrices. In spectral analysis of $p$-vector-valued time series there is often a need for good shrinkage methods too, most notably when the complex-valued…

Statistics Theory · Mathematics 2015-10-28 A. T. Walden , D. Schneider-Luftman

A design tool was formulated for optimizing the efficiency of inorganic, thin-film, photovoltaic solar cells. The solar cell can have multiple semiconductor layers in addition to antireflection coatings, passivation layers, and buffer…

Numerical Analysis · Mathematics 2024-09-23 Tom H. Anderson , Benjamin J. Civiletti , Peter Monk , Akhlesh Lakhtakia

In this paper we show the existence of the minimal solution to the multidimensional Lambert-Euler inversion, a multidimensional generalization of $[-e^{-1} ,0)$ branch of Lambert W function $W_0(x)$. Specifically, for a given nonnegative…

Mathematical Physics · Physics 2021-07-29 Yevgeniy Kovchegov , Peter T. Otto

The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques. The…

Nuclear Theory · Physics 2009-11-10 B. M. Kessler , G. L. Payne , W. N. Polyzou

The full-potential linearized augmented-plane wave (FP-LAPW) method is well known to enable most accurate calculations of the electronic structure and magnetic properties of crystals and surfaces. The implementation of atomic forces has…

Condensed Matter · Physics 2009-10-31 Max Petersen , Frank Wagner , Lars Hufnagel , Matthias Scheffler , Peter Blaha , Karlheinz Schwarz

The full-waveform inversion (FWI) addresses the computation and characterization of subsurface model parameters by matching predicted data to observed seismograms in the frame of nonlinear optimization. We formulate FWI as a nonlinearly…

Optimization and Control · Mathematics 2021-08-26 Ali Gholami , Hossein S. Aghamiry , Stéphane Operto

We have implemented two recently proposed dipole shower algorithms that have next-to-leading-logarithmic accuracy at leading colour in the Herwig event generator. We study their properties and compare them to Herwig's existing dipole and…

High Energy Physics - Phenomenology · Physics 2026-05-05 Jack Holguin , Simon Plätzer , Michael H. Seymour , Siddharth Sule

I propose a general quantitative framework to evaluate the quality, track the historical development, and guide future optimization of photovoltaic (PV) absorbers at any development level, including both experimentally synthesized and…

Materials Science · Physics 2024-04-24 Andrea Crovetto

We prove simple general formulas for expectations of functions of a L\'evy process and its running extremum. Under additional conditions, we derive analytical formulas using the Fourier/Laplace inversion and Wiener-Hopf factorization, and…

Probability · Mathematics 2023-08-01 Svetlana Boyarchenko , Sergei Levendorskiĭ

The Lambert $W$ function, giving the solutions of a simple transcendental equation, has become a famous function and arises in many applications in combinatorics, physics, or population dyamics just to mention a few. In the last decade it…

Classical Analysis and ODEs · Mathematics 2015-06-23 István Mező , Árpád Baricz

In this communication, the convergence of the 1/t and Wang - Landau algorithms in the calculation of multidimensional numerical integrals is analyzed. Both simulation methods are applied to a wide variety of integrals without restrictions…

Statistical Mechanics · Physics 2009-11-13 R. E. Belardinelli , S. Manzi , V. D. Pereyra

The variability of the solar resource is mainly caused by cloud passing, causing rapid power fluctuations on the output of photovoltaic (PV) systems. The fluctuations can negatively impact the electric grid, and smoothing techniques can be…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Ana Foles , Luis Fialho , Manuel Collares-Pereira , Pedro Horta

In classical physics, calculating the slack of a hanging chain is a problem that has attracted interest. This study aims to solve this problem through experiment and theory. When the length and distance of both the ends of a hanging chain…

Classical Physics · Physics 2019-01-23 Masato Ito

Soiling is the accumulation of dirt in solar panels which leads to a decreasing trend in solar energy yield and may be the cause of vast revenue losses. The effect of soiling can be reduced by washing the panels, which is, however, a…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Alexandros Kalimeris , Ioannis Psarros , Giorgos Giannopoulos , Manolis Terrovitis , George Papastefanatos , Gregory Kotsis
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