Choice of equivalent circuit for impedance spectra of perovskite cells: Universal approach and empirical analysis.
Anna Todinova a, Lidia Contreras-Bernal b, Manuel Salado c, Shahzada Ahmad c, Neftali Morillo b, Jesus Idigoras b, Juan Antonio Anta b
a Molecular Materials and Nanosystems, Eindhoven University of Technology, Netherlands, Netherlands
b Pablo de Olavide University, Sevilla, Spain, Carretera de Utrera, km. 1, Montequinto, Spain
c BCMaterials, Basque Center for Materials, Applications and Nanostructures, UPV/EHU Science Park, Spain., Barrio Sarriena s/n, 48940 Leioa, Spain
International Conference on Hybrid and Organic Photovoltaics
Proceedings of International Conference on Hybrid and Organic Photovoltaics (HOPV18)
Benidorm, Spain, 2018 May 28th - 31st
Organizers: Emilio Palomares and Rene Janssen
Oral, Anna Todinova, presentation 110
DOI: https://doi.org/10.29363/nanoge.hopv.2018.110
Publication date: 21st February 2018

Impedance spectroscopy is a powerful technique in characterization of solar cells, in particular perovskite solar cells (PSCs). Small amplitude perturbation is used in order to obtain linearized cell response in frequency domain. The linearization allows to model impedance response with linear circuit elements, which can be associated with real physical parameters of the solar cell by using an equivalent circuit. A variety of equivalent circuits was used by many research groups in order to describe impedance spectra of PSCs and there is no general agreement on which equivalent circuit is preferable for the modelling of PSCs impedance spectra. In this work a range of equivalent circuits was analyzed both analytically and numerically for two and three-component impedance spectra of PSCs and full analytical and numerical equivalence was found for Voight, matryoshka and hybrid Voight-matryoshka circuits. Therefore, any one of those could be chosen, depending on the physical model of the device operation considered by a researcher. In addition, an empirical analysis which does not involve any equivalent circuit was applied and the parameters obtained using this analysis were compared to those obtained from the equivalent circuits mentioned above. This empirical analysis includes the calculation of the distribution of relaxation times (DRT). DRT analysis could be especially useful in case of poorly resolved impedance arcs. Good agreement was found between the parameters of the empirical analysis and the ones received using equivalent circuits. In contrast, equivalent circuits of the Maxwell type have a more complex relation to the parameters obtained empirically. Impedance spectra containing inductive feature (called either “loop” or “tail”) are also discussed in terms of negative resistive and capacitive elements. This feature is the signature of an additional process present in the system and very often it evolves into a regular impedance arc in the series of impedance measurements for the same perovskite cell. We show that inductive feature appearing in an impedance spectrum could be described only with Voight element without utilization of any inductive element. A general protocol for the analysis of impedance spectra of PSCs is proposed.

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