This study presents a comprehensive mathematical model for analyzing the electrical impedance of spherical piezoceramic devices, which are increasingly utilized in modern microelectronic systems. Spherical piezoceramic shells’ unique geometric and physical properties enable enhanced sensitivity, reduced electrical impedance, and improved operational stability compared to cylindrical and disk-shaped counterparts. The research investigates the relationship between key operational parameters, including frequency, material properties, and geometric dimensions, and their impact on impedance characteristics. The mathematical model uses harmonic oscillation equations and accounts for dynamic boundary conditions and electric potential distributions across hemispherical surfaces. Numerical simulations reveal that spherical piezoceramic shells exhibit a 1.3–1.6 times higher quality than cylindrical elements and 2–2.5 times higher than disk-shaped elements. Additionally, a sharp reduction in electrical impedance – by 2–3.5 times – was observed at electromechanical resonance frequencies. Experimental validation confirmed that spherical elements demonstrate 20–30% greater resistance to mechanical deformations and 15–25% lower susceptibility to local resonances, significantly improving vibration accuracy and operational stability. The proposed model allows precise prediction of impedance-frequency dependencies and optimization of spherical piezoceramic devices for various high-frequency applications, including telecommunications, medical diagnostics, and automated control systems. These findings provide a foundation for further integrating spherical piezoceramic elements into advanced microelectronic technologies, ensuring their efficiency, durability, and adaptability across diverse operational conditions.