## 1 Introduction
The main disadvantage of these materials is that they tend to have lower conductivity than metals. Metals such as silver, copper, stainless steel, and aluminum exhibit excellent electrical conductivity within the range of \(1.4\times 10^{6}\) to \(63.0\times 10^{6}\) S/m. Coating fibers with metal results in a highly conductive outer coating. However, long-term wear or repeated laundering usually leads to the degradation of this type of fiber. Twisted stainless-steel yarns are, apart from carbon fibers, most commonly used as conductive fibers. They are characterized by high strength, resistance to oxidation, and very good conductivity compared to metallically coated insulating fabrics. Pure stainless-steel yarns can be woven, knitted, or made into a nonwoven fabric structure. Stainless-steel fibers can be blended with traditional thread, such as cotton or polyester. The disadvantages of stainless-steel yarns are weight and stiffness. In addition to metals, carbon materials such as carbon black, carbon nanofibers, carbon nanotubes, graphite, and graphene can be used in antistatic textiles. From a mechanical point of view, carbon nanotube (CNT) yarns are tensile-resistant, flexible, and lightweight. They have conductivity similar to that of metals and are more oxidation-resistant than stainless steel. Depositing a CNT layer outside of other fibers can also increase conductivity. The main disadvantage of CNT yarns is their cost, which is significantly higher than that of alternatives. Carbon fiber is one of the strongest and lightest materials available today. It is five times stronger and one-third lighter than steel. Carbon fibers are thin strands with a diameter ranging from 5 to 10 \(\upmu\)m primarily composed of carbon atoms and possess relatively low electrical conductivity--typically on the order of 100 S/m. However, by adding certain materials, the electrical conductivity of carbon fibers can be increased, leading to values of 10,000 S/m. ESD protective clothing is usually made of composite fabrics in which a grid or strips of conductive threads are incorporated inside of raw cotton, polyester, or blended materials. Figure 1 shows nonwoven polyester antistatic fabric used to filter various powders, such as dust, cellulose, or chemicals. ESD protective coats and tunics prevent charging and remove any charge thank to the grid of conductive fibers woven into the fabric. They are worn in medical areas, clean rooms, and hospital laboratories (see Figure 2). Reliable textile models must be developed to design protective clothing that meets existing standards for evaluating ESD protective fabrics. This article focuses on modeling fabrics and nonwoven fabrics to determine the charge decay time by induction. Measuring the charge decay time in a material is one of the basic electrostatic tests. The method is suitable for correctly characterizing all types of fabric exposed to ESD. Information about the resistance of conductive fibers can also be deduced from the charge decay plots. The measurement provides information on the effectiveness of the electrostatic shielding of textiles. The research described in this paper is focused on developing a simplified model of ESD protective textiles with a conductive grid on a 1:1 scale using COMSOL Multiphysics software(r) [42]. The model allows for the study of how changes in the parameters of the textiles (such as grid size, thickness, and conductivity) affect the charge decay plots following the EN 1149-3 standard [43] (method 2, inductive charging).