EIS Mathematics #1 -The simplicity of complex numbers and impedance diagrams – Battery – Application Note 50-1

Abstract

50#1 The results of impedance measurements are complex numbers. The electrochemists are sometimes unfamiliar with these numbers (or they have forgotten about them). This note aims at providing the mathematical background necessary to understand and analyze EIS diagrams. A few common characteristics and habits in impedance analysis are also explained in light of this background, such as how to select the most appropriate EIS representation (Nyquist or bode plot)

Introduction

The results of impedance measurements are complex numbers. The electrochemists are sometimes unfamiliar with these numbers (or they forget about them). This note aims at
giving the mathematical background necessary to understand and analyze EIS diagrams. A few common characteristics and habits in impedance analysis are also explained in light of this background.

II – COMPLEX NUMBER
II – 1 DEFINITION

A complex number is a set of two real numbers a and b written as…

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