## 1 Introduction  
With the continuous advancement of cutting-edge and smart technologies, there is a growing demand for sensing physical phenomena and remote wireless monitoring. Throughout various industrial revolutions, innovative ideas and processes have found their way into industrial applications, leading to the emergence of what we now refer to as \"Industry 4.0\". The core concept behind Industry 4.0 is to automate devices and systems, imbuing them with intelligence and connecting them on a global scale, creating what we call Cyber-Physical Systems (CPSs) to enhance human interaction and convenience. Industrial environments are markedly different from typical everyday work settings, often characterized by harsh conditions that fall outside the realm of optimal human comfort. These conditions include extreme ambient temperatures, varying humidity levels, and the presence of toxic, inflammable, or volatile gases. These extreme factors limit accessibility and can sometimes render these environments hazardous, making access nearly impossible. Hence, the imperative to sense and monitor environmental factors arises, enablingquick response measures and improved interaction with installed devices to enhance work efficiency and automation. One particularly effective approach entails the deployment of wireless sensing systems referred to as \"Wireless Sensor Nodes\". These nodes are engineered to operate independently, typically consisting of sensors, a microcontroller, and a radio communication system. To ensure sustained functionality, they are equipped with a battery as their power source, enabling them to operate for extended periods, ranging from several months to a few years, thanks to their remarkable ultra-low-power capabilities. The substantial growth in ultra-low-power electronics and the subsequent advancements in conditioning circuits have led to a significant reduction in the power consumption of microelectronic systems, including microcontrollers and sensor platforms. This development has spurred the research community to explore the use of energy harvesters, specifically vibration-based energy harvesters, as a viable power source. This category of energy harvesters harnesses ambient energy in the form of vibrations, a common occurrence in industrial environments, to provide power for small electronic devices like sensors, microcontrollers, and wireless transceivers. This breakthrough opens up the potential for the creation of fully autonomous and battery-free systems designed for conventional industrial measurement and monitoring applications. These applications often face limited accessibility due to harsh environmental conditions, making complete battery replacement a formidable challenge. Consequently, the primary objective of our present work is to demonstrate that energy harvesting can supply a sufficient amount of power, thereby extending the lifespan of the currently used battery until the next recharge. Achieving this would significantly reduce waste and the periodic maintenance costs associated with battery replacement. Numerous research groups have put forth a spectrum of vibration-based energy harvester designs. These designs range from the conventional and simple tip-loaded cantilever-based designs [1; 2; 3; 4] to more intricate and optimized configurations capable of harvesting energy across a broader frequency spectrum [5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15], whereas many other research works have been dedicated to exploring the potential use of different vibration-based energy harvesting to achieve fully autonomous sensing devices designed to be implemented in harsh environments with limited access, and where remote monitoring is needed. [PERSON] et al. [16] discussed a practical approach to power wireless sensor nodes using a combination of rechargeable batteries and an electromagnetic vibration energy harvesting system, ensuring reliable and sustainable operation of wireless sensor networks. [PERSON] et al.