An Interleaved Segmented Spectrum Analysis: A Measurement Technique for System Frequency Response and Fault Detection

Area of Science:

• Electrical Engineering
• Signal Processing
• Circuit Analysis

Background:

• Accurate frequency response measurement is crucial for circuit and system analysis.
• Existing methods may suffer from low resolution, high distortion, or require expensive equipment like network analyzers.
• Minimizing spectral leakage and interference is essential for precise frequency response extraction.

Purpose of the Study:

• To propose a frequency spectrum segmentation methodology for high-resolution, low-distortion frequency response extraction.
• To enable accurate circuit and system analysis without reliance on costly network analyzers.
• To provide a robust method for fault detection and failure avoidance through stability coverage.

Main Methods:

• Implementation of a modified Dirichlet function (MDF) for multi-tone excitation signals.
• Application of window functions to suppress system-induced oscillations and reduce distortion.
• Generation of an interleaved frequency spectrum segment for response measurement.

Main Results:

• Achieved high resolution and low distortion in frequency response measurements over a wide frequency range.
• Successfully represented the system's frequency response using Bode and Nyquist plots.
• Validated the proposed methodology through both simulation and hardware experiments.

Conclusions:

• The proposed MDF-based segmentation methodology offers an effective alternative for frequency response measurement.
• This technique enhances stability coverage, facilitating reliable fault detection and failure avoidance.
• The method demonstrates practical applicability and cost-effectiveness compared to traditional approaches.