A high-precision digital integrator based on the Romberg algorithm.
1College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China.
The Review of Scientific Instruments
|May 1, 2017
Summary
This study introduces an improved digital integrator for power systems using a weighted Romberg algorithm. This method enhances precision and simplifies design, achieving less than 0.01% error for accurate signal processing.
Area of Science:
- Electrical Engineering
- Signal Processing
- Numerical Analysis
Background:
- Integrators are crucial for power system measurements and signal processing.
- Traditional Newton-Cotes integrators face challenges with poor high-frequency response (low-order) or complex transfer functions (high-order).
Purpose of the Study:
- To develop a digital integrator with improved precision and reduced design complexity.
- To address the limitations of existing Newton-Cotes based digital integrators.
Main Methods:
- Analysis of the error between composite Newton-Cotes algorithms and ideal transfer functions.
- Employing dual sampling frequencies (normal and half) for input signals.
- Weighting sampled signals using the Romberg algorithm to enhance accuracy.
Main Results:
- The proposed digital integrator demonstrates superior transient and steady-state performance.
- Achieved a significant reduction in error, falling below 0.01%.
- Simplified the design complexity for algorithms of equivalent order.
Conclusions:
- The Romberg-weighted, dual-sampling-frequency approach offers a more precise and practical digital integrator.
- This method overcomes the inherent trade-offs in traditional Newton-Cotes integrator designs.
- The developed integrator is suitable for demanding power system applications requiring high accuracy.
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