基于优化匀强磁场的电磁流速层析成像技术

doi:10.19595/j.cnki.1000-6753.tces.241825

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Abstract In multi-electrode electromagnetic flowmeters, electromagnetic velocity tomography is a crucial technology for measuring the instantaneous velocity parameters of conductive-phase fluids, particularly under complex multiphase flow conditions. This technology provides a reliable and safe approach for characterizing transient, nonlinear, and intricate conductive-phase flow processes, which are common in dynamic industrial environments. It is essential for understanding the transient characteristics of flow velocity, assisting in the development of transient flow models, and plays an important role in system monitoring, production distribution, optimization of lifetime, and the safety of fluid distribution systems. This paper aims to optimize Helmholtz coils parameters to enhance the homogeneous magnetic field of electromagnetic velocity tomography, in order to overcome the challenge of accurately measuring the velocity distribution of non-axisymmetric complex conductive fluids.
Firstly, multi-physics simulations and analysis are employed to elucidate the relationship between Helmholtz coils parameters and field characteristics in terms of magnetic field strength and homogeneity. Through multiple regression analysis, the optimal design expressions or best value ranges for the parameters of Helmholtz coils are established. Additionally, several general principles are summarized: (1) Increasing the winding current in both circular and rectangular Helmholtz coils linearly enhances the magnetic flux density without affecting field homogeneity; (2) The optimal shape for rectangular Helmholtz coils is square; (3) The optimal axial gap between windings for both coil types is 0 mm; (4) For fixed coil spacing, the radial equivalent total length of the coils should remain constant; (5) Under identical parameters, circular Helmholtz coils demonstrate superior magnetic field homogeneity compared to rectangular ones. Based on these findings, the optimal parameters for Helmholtz coils are determined for a pipeline with a diameter of 100 mm, coil spacing of 190 mm, and wire diameter of 0.8 mm. These adjustments result in a remarkable 4.42-fold increase in magnetic flux density and a 7.59% enhancement in homogeneity, leading to this configuration being designated as “optimal Helmholtz coils.” In parallel, based on previously established best practices, the designed configuration is “original Helmholtz coils.”
The electromagnetic velocity tomography algorithm utilizes induced potential signals from electrode sensors to reconstruct velocity profiles. To ensure precise velocity measurements, equal amplitude forward and reverse currents are applied to both original and optimal Helmholtz coils, generating a homogeneous magnetic field as well as a reversed Helmholtz field. A comparison of induced signals reveals that the optimal Helmholtz coils enhance the signal amplitude by 4.48 times compared to the original coils. This increase significantly boosts the signal-to-noise ratio, reducing the need for signal amplification and minimizing distortion or overload. Larger signal amplitudes improve the ability to capture dynamic flow changes, such as velocity fluctuations.
Velocity profiles are reconstructed from the induced signals using a high-order power-law imaging algorithm. The original and optimal coils show excellent agreement between the reconstructed and set velocity profiles. After optimizing the coils, the electromagnetic velocity tomography reduces the average velocity percentage deviation by 0.21% for the first velocity profile and 0.15% for the second profile, compared to the original coils. The phenomenon, where optimizing the coils does not significantly reduce the average percentage deviation of local velocity, is related to the physical implications of the weighting function. It fails to consider how flow patterns and velocity distributions affect attenuation of induced electromotive force.

Key words： Electromagnetic velocity tomography Helmholtz coils homogeneous magnetic field high-order power-law imaging algorithm

Received: 18 October 2024

PACS:

TM930.12

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	Bi Xinyu
	Yao Ze
	Zhu Jingyuan
	Ma Lu

Cite this article:

Bi Xinyu,Yao Ze,Zhu Jingyuan等. Optimization of Enhanced Homogeneous Magnetic Field of Electromagnetic Velocity Tomography[J]. Transactions of China Electrotechnical Society, 2025, 40(21): 6945-6955.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.241825 OR https://dgjsxb.ces-transaction.com/EN/Y2025/V40/I21/6945

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