Wave Digital-Based Variability Analysis of Electrical Mismatch in Photovoltaic Arrays

This research investigates the effects that electrical mismatches and partial shading can have on the performance of photovoltaic arrays. The analysis adopts a probabilistic point of view where the most relevant parameters of the solar units are seen as random variables. The analysis relies on an efficient and robust simulation technique, based on Wave Digital principles, that is tailored to the modular topology of solar arrays. It is shown how electrical mismatch, solar shading and array topology can interact among them in a quite complex way.

[1]  Gehan A. J. Amaratunga,et al.  Analytic Solution to the Photovoltaic Maximum Power Point Problem , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  G. Petrone,et al.  Optimized Configuration of Mismatched Photovoltaic Arrays , 2016, IEEE Journal of Photovoltaics.

[3]  Ke-Horng Chen,et al.  Highly Efficient Analog Maximum Power Point Tracking (AMPPT) in a Photovoltaic System , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Augusto Sarti,et al.  Dynamic adaptation of instantaneous nonlinear bipoles in wave digital networks , 2016, 2016 24th European Signal Processing Conference (EUSIPCO).

[5]  Augusto Sarti,et al.  Biparametric Wave Digital Filters , 2017, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Giulio Antonini,et al.  Digital Wave Simulation of Quasi-Static Partial Element Equivalent Circuit Method , 2017, IEEE Transactions on Electromagnetic Compatibility.

[7]  Eleonora Riva Sanseverino,et al.  Reconfigurable electrical interconnection strategies for photovoltaic arrays: A review , 2014 .

[8]  Giovanni Marucci,et al.  Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques , 2014, Proceedings of the IEEE 2014 Custom Integrated Circuits Conference.

[9]  Augusto Sarti,et al.  Modeling Sallen-Key audio filters in the Wave Digital domain , 2017, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[10]  Augusto Sarti,et al.  Modeling a class of multi-port nonlinearities in wave digital structures , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[11]  Doron Shmilovitz,et al.  Maximum Power Point Tracking Employing Sliding Mode Control , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Julius O. Smith,et al.  Resolving Grouped Nonlinearities in Wave Digital Filters using Iterative Techniques , 2016 .

[13]  Augusto Sarti,et al.  An Improved and Generalized Diode Clipper Model for Wave Digital Filters , 2015 .

[14]  Augusto Sarti,et al.  Multi-port nonlinearities in Wave Digital Structures , 2015, 2015 International Symposium on Signals, Circuits and Systems (ISSCS).

[15]  Augusto Sarti,et al.  Modeling nonlinear wave digital elements using the Lambert function , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Augusto Sarti,et al.  Wave Digital Implementation of Robust First-Order Differential Microphone Arrays , 2018, IEEE Signal Processing Letters.

[17]  Augusto Sarti,et al.  Wave-Based Analysis of Large Nonlinear Photovoltaic Arrays , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Salvatore Levantino,et al.  Variation-Aware Modeling of Integrated Capacitors Based on Floating Random Walk Extraction , 2018, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[19]  K. Meerkotter,et al.  Digital simulation of nonlinear circuits by wave digital filter principles , 1989, IEEE International Symposium on Circuits and Systems,.

[20]  A. Fettweis.  Pseudo-passivity, sensitivity, and stability of wave digital filters , 1972 .

[21]  A. Fettweis.  Wave digital filters: Theory and practice , 1986, Proceedings of the IEEE.

[22]  Augusto Sarti,et al.  Canonical piecewise-linear representation of curves in the wave digital domain , 2017, 2017 25th European Signal Processing Conference (EUSIPCO).

[23]  Julius O. Smith,et al.  Wave digital filter modeling of circuits with operational amplifiers , 2016, 2016 24th European Signal Processing Conference (EUSIPCO).

[24]  M. Vitelli,et al.  Analytical model of mismatched photovoltaic fields by means of Lambert W-function , 2007 .

[25]  Paolo Maffezzoni,et al.  Efficient Uncertainty Quantification for the Periodic Steady State of Forced and Autonomous Circuits , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[26]  Paolo Maffezzoni,et al.  Compact Electrothermal Macromodeling of Photovoltaic Modules , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[27]  J. Jatskevich,et al.  Efficient Approaches for Modeling and Simulating Photovoltaic Power Systems , 2013, IEEE Journal of Photovoltaics.