Simple Procedure to Compute the Inductance of a Toroidal Ferrite Core from the Linear to the Saturation Regions

Salas, Rosa Ana; Pleite, J.

doi:10.3390/ma6062452

Cited by 9 publications

(9 citation statements)

References 14 publications

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“…The red curve is the Gaussian curve of the inductance with the projectile position. The inductance is maximum when the center of the projectile coincides with the center of the coil, which is consistent with the trend of the L(x) curve in [22], [29]. The blue curve shows the variation of the inductance with current, and it is maximum when the current is small, which is consistent with the trend of the L-I curve in [21], [22], [30].…”

Section: B Analysis Of Genetic Algorithm Modelsupporting

confidence: 81%

“…In contrast to the mathematical equations for iron-core inductors, it is important to note that the equivalent inductance is not only related to the position of the projectile but is also influenced by the magnetic saturation. According to [18], [21], and [22], magnetic saturation of the core leads to a decrease in the equivalent inductance, and when the magnetic saturation is very severe the effect of the core almost disappears and the equivalent inductance is approximately equal to that of the hollow coil. When the core is fixed, the severity of magnetic saturation depends on the strength of the electromagnetic field, so the equivalent inductance can be modified according to the magnitude of the excitation current in the coil, and described as an L-I curve.…”

Section: A Kinematic Equationsmentioning

confidence: 99%

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Specified Velocity Launching of Reluctance Coil Gun Based on Genetic Algorithm

Zhang

2024

IEEE Access

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In this study, a method is proposed to obtain the initial voltage of the capacitor and the initial relative position of the projectile of a reluctance coil gun using a genetic algorithm to make the projectile launch at a specified muzzle velocity with high efficiency. Firstly, the equivalent inductance change during the launching process is used as a link for multi-physics field analysis, and a set of electromagnetic dynamics equations is derived to correct the effect of magnetic saturation on the inductance according to the current value in the coil. Further the set of equations is constructed as a Simulink discretized numerical computational program and called by a genetic algorithm written in MATLAB to approximate the optimal solution by generation-by-generation optimization. When the specified projectile muzzle velocity is set to 10 m/s, the initial voltage of the capacitor calculated using the genetic algorithm is 156 V, and the initial position of the projectile is −14.3 mm. We input the parameters into the finite element analysis model and the launch experiment platform, and the obtained projectile muzzle velocity is 9.67 m/s and 9.8 m/s respectively, and the efficiency is close to the optimal value, also the comparison of voltage and current waveforms also shows that the method proposed in this study is effective.INDEX TERMS reluctance coil gun, equivalent inductance, genetic algorithm, specified muzzle velocity, launching efficiency.

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Section: B Analysis Of Genetic Algorithm Modelsupporting

confidence: 81%

Section: A Kinematic Equationsmentioning

confidence: 99%

Specified Velocity Launching of Reluctance Coil Gun Based on Genetic Algorithm

Zhang

2024

IEEE Access

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“…For low frequencies (for which the skin effect and hysteresis can be neglected in the core) and assuming simplification of the straight-line distribution of magnetic field lines in the core’s air gap, the flux in the core is equal to that in the air gap, B c A c = B δ A δ and substituting H c = B c /( μ 0 μ c ), the magnetic flux density B c of the magnetic field in the core (see Figure 1) is as follows [36,37]:Bc=μ0i1N1AcAδδ+(2π−α)rμc, where A c is the cross-sectional area of the core, A c = ab (see Figure 1), B δ is the magnetic flux density in the air gap, A δ is the cross-sectional area of the air gap, δ is the length of the air gap, H c is the magnetic field strength in the core, µ 0 is the magnetic permeability of free space, µ c is the relative core magnetic permeability, and α is the angle (see Figure 1).…”

Section: Determination Of Self and Leakage Inductances Of The Measmentioning

confidence: 99%

Practical Adaptation of a Low-Cost Voltage Transducer with an Open Feedback Loop for Precise Measurement of Distorted Voltages

Sułowicz

Ludwinek

Tulicki

et al. 2019

Sensors

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This paper presents the project proposal of a low-cost transducer with a Hall-effect sensor placed in a ferromagnetic core’s air gap, which enables the measurement of the distorted voltage instantaneous values without the feedback loop used for measurements in electrical machines. The presented transducer allows for electrical separation between the measured voltage and the voltage at the output. Moreover, the influences of frequency, additional resistance, and the reactance of the winding circuit on the voltage phase shift caused by winding inductance with ferrite core and amplitude are discussed. The result of simulating leakage inductance of measuring winding with ferrite core with an air gap is calculated using finite element analysis. Experimental investigations of the voltage phase shift angle and output voltage amplitude drop for the voltage transducers with an open feedback loop are carried out, taking into account the linear core magnetization characteristic.

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“…An increase in inductance causes the earlier v ac + V L to exceed V O , thereby improving PFC. Thus, in calculating inductance, the iron core of the transformer is identical to that of a toroid, and the inductance of which as a function of the excitation current [26].…”

Section: Theories Underlying Shunt‐based Semi‐active Pfcmentioning

confidence: 99%

Shunt semi‐active power factor correction circuit for permanent magnet synchronous motor driver

Chern¹,

Huang²

2014

IET Power Electronics

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This study developed a shunt-based, semi-active power factor correction (PFC) circuit for a sensor-less speed controller applicable in permanent magnet synchronous motors (PMSM). The objective of this novel approach is to increase the PF of the control circuit in order to improve the effectiveness of controlling the speed of the motor. The proposed circuit includes two parallel rectifiers capable of providing good PFC while maintaining simplicity. This study discusses the relevant theories, introduces the components and provides a simulation of the system. Experimental results, involving a sensor-less PMSM rotary compressor for an air conditioning unit, demonstrate the efficacy of the proposed device over a wide range of speeds and duty times. The performance was further compared with two other circuits, the results of which prove that this system accomplished the objectives of the study.

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Simple Procedure to Compute the Inductance of a Toroidal Ferrite Core from the Linear to the Saturation Regions

Cited by 9 publications

References 14 publications

Specified Velocity Launching of Reluctance Coil Gun Based on Genetic Algorithm

Specified Velocity Launching of Reluctance Coil Gun Based on Genetic Algorithm

Practical Adaptation of a Low-Cost Voltage Transducer with an Open Feedback Loop for Precise Measurement of Distorted Voltages

Shunt semi‐active power factor correction circuit for permanent magnet synchronous motor driver

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