Analysis and Optimization of the Stray Capacitance of Rogowski Coils
Abstract
:1. Introduction
2. Analysis of Dynamic Characteristics of Rogowski Coils
3. Stray Capacitance of Rogowski Coils
3.1. A Network Model of the Stray Capacitance of Rogowski Coils
3.2. Simplified Model of the Stray Capacitance Network
3.3. Discussions of the Factors Affecting Stray Capacitance
3.3.1. Investigations of Factors Affecting
3.3.2. Investigations of Factors Affecting
3.3.3. Measures to Reduce Stray Capacitance
4. Optimization of the Skeleton Cross-Section
4.1. Optimization of Skeletons of Three Common Shapes
4.1.1. Rectangular Cross-Section
4.1.2. Circular Cross-Section
4.1.3. Oval Cross-Section
4.2. Optimal Design of the Skelenton Cross-Section
4.2.1. The Constrained Variational Problem
4.2.2. Solution to the Constrained Variational Problem via Euler’s Method
4.3. Numerical Example
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
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Stray Capacitance | FEM | Proposed Method | Relative Error |
---|---|---|---|
Cts | 7.74 pF | 8.05 pF | 4.0% |
Ctt | 2.66 pF | 2.81 pF | 5.9% |
CAB | 7.52 pF | 7.94 pF | 5.6% |
Shape of the Cross-Section | Perimeter (cm) | Rc () | Lc () | Cc (pF) | ||
---|---|---|---|---|---|---|
Rectangular | 4.22 | 0.0760 | 0.1044 | 1.230 | 1 | 1 |
Circular | 3.93 | 0.0711 | 0.1044 | 1.151 | 1.069 | 1.034 |
Oval | 3.85 | 0.0697 | 0.1044 | 1.128 | 1.090 | 1.044 |
Proposed | 3.71 | 0.0671 | 0.1044 | 1.086 | 1.133 | 1.064 |
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Wang, J.; Wang, H.; Mao, M.; Ma, X. Analysis and Optimization of the Stray Capacitance of Rogowski Coils. Appl. Sci. 2024, 14, 7748. https://doi.org/10.3390/app14177748
Wang J, Wang H, Mao M, Ma X. Analysis and Optimization of the Stray Capacitance of Rogowski Coils. Applied Sciences. 2024; 14(17):7748. https://doi.org/10.3390/app14177748
Chicago/Turabian StyleWang, Jiawei, Huifu Wang, Minyu Mao, and Xikui Ma. 2024. "Analysis and Optimization of the Stray Capacitance of Rogowski Coils" Applied Sciences 14, no. 17: 7748. https://doi.org/10.3390/app14177748