Non-Hermitian systems are garnering attention in optics, electricity, acoustics, and other fields owing to their distinctive physical phenomena and promising applications. We explores the higher-order singularities in three-dimensional non-Hermitian systems. We also analyze the effects of these singularities on the energy response of the systems. We design and build a three-dimensional resonator array circuit, simulating its gain and loss by incorporating positive and negative resistances to establish a system constructed from repeated minimal unit cells. Through an analysis of the eigenvalues of the Hamiltonian operator and phase diagrams in the parameter space, the generation mechanism and evolution behavior of singularities in the system are elucidated. LTspice simulation results indicate that higher-order singularities significantly enhance the energy (voltage) response of the system, particularly when the circuit contains a specific number of unit cells, which can markedly increase the response speed. This finding provides new directions for optimizing sensor design and highlights the important application potential of higher-order singularities in non-Hermitian systems for improving the system performance.