On a distributed parameter model for electrical impedance of ionic polymer

Kentaro Takagi; Yoshihiro Nakabo; Zhi-Wei Luo; Kinji Asaka

doi:10.1117/12.715554

5 April 2007 On a distributed parameter model for electrical impedance of ionic polymer

Kentaro Takagi, Yoshihiro Nakabo, Zhi-Wei Luo, Kinji Asaka

Proceedings Volume 6524, Electroactive Polymer Actuators and Devices (EAPAD) 2007; 652416 (2007) https://doi.org/10.1117/12.715554
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

From the observation of the measured frequency response, the electrical impedance of IPMC has the characteristics of a distributed parameter system. Especially in the case of TEA ion, we found that the frequency response cannot be approximated by a simple ideal capacitor or even by low-order transfer functions. In this study, we discuss a black-box circuit modeling of the electrical system of IPMC from the point of view of the frequency response. We employ some models whose transfer functions are not rational. One of such models is a distributed circuit (transmission line). Another is a black-box circuit model with a distributed parameter element (constant phase element). Both transfer functions consist of square root of 's'. In the experiment, the electrical impedance of an IPMC (gold plated Nafion) is measured under some conditions such as electrode clamp sizes and two cation species, Na ion and TEA ion. From the result, we found that the electrode clamp condition less affects the measured impedance. However, we observed that the impedance highly depends on the cation species. From the experimental frequency response, the parameters of the model are identified. Larger resistance and smaller capacitive element are identified in TEA case than those in Na case. The identified parameters are consistent with the physical intuition that TEA ion movement is slower than Na ion.

Citation Download Citation

Kentaro Takagi, Yoshihiro Nakabo, Zhi-Wei Luo, and Kinji Asaka "On a distributed parameter model for electrical impedance of ionic polymer", Proc. SPIE 6524, Electroactive Polymer Actuators and Devices (EAPAD) 2007, 652416 (5 April 2007); https://doi.org/10.1117/12.715554

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