Optimum foil thickness of inductors conducting DC and non-sinusoidal periodic currents

Wojda, Rafal P.; Kazimierczuk, Marian K.

doi:10.1049/iet-pel.2011.0369

Cited by 28 publications

(18 citation statements)

References 14 publications

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“…The simulations showed that the temperature dependent ac winding resistance calculated from Dowell's equation tracks the FEM results with high accuracy. Moreover, it has been shown that the equations for the optimum foil thickness (17) and the optimum diameter of the solid-round-wire windings (34) are a very good designing tool for windings operating at different temperatures.…”

Section: Resultsmentioning

confidence: 99%

“…For the high power inductors, from aforementioned losses, significant role plays the winding losses [9][10][11][12][13][14][15][16][17][18][19][20][21][31][32][33][34][35][36]. While core and dielectric loss are decreased by selection of low-loss materials, the winding losses are significantly reduced by optimization of the winding conductor size [16,17,19].…”

Section: Introductionmentioning

confidence: 99%

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Thermal analytical winding size optimization for different conductor shapes

Wojda¹

2015

Archives of Electrical Engineering

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Abstract. The aim of this paper is to derive an analytical equations for the temperature dependent optimum winding size of inductors conducting high frequency ac sinusoidal currents. Derived analytical equations are useful designing tool for research and development engineers because windings made of foil, square-wire, and solid-round-wire windings are considered. Temperature dependent Dowell's equation for the ac-to-dc winding resistance ratio is given and approximated. Thermally dependent analytical equations for the optimum foil thickness, as well as valley thickness and diameter of the square-wire and solid-round-wire windings are derived from approximated thermally dependent ac-to-dc winding resistance ratios. Minimum winding ac resistance of the foil winding and local minimum of the winding ac resistance of the solid-round-wire winding are verified with Maxwell 3D Finite Element Method simulations.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal analytical winding size optimization for different conductor shapes

Wojda¹

2015

Archives of Electrical Engineering

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“…The losses of the high frequency transformer can be divided into core loss and winding loss [31][32][33][34]. The hysteresis core loss can be expressed as [31] …”

Section: Transformer Loss Analysismentioning

confidence: 99%

Magnetic flux density bias analysis and suppression strategy for voltage‐fed single‐stage full‐bridge converter

Zhang

Qian

et al. 2016

Circuit Theory & Apps

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Power transformer in the voltage-fed single-stage full-bridge (SSFB) converter is easy to be saturated because of the special operating mode of this topology. First and foremost, detailed analysis about the generation mechanism of the transformer saturation in the voltage-fed SSFB converter is presented for the first time in this paper. Second, the mathematical expression of the maximum value of magnetic flux density bias (MFDB) during every line cycle is deduced. Furthermore, a novel suppressing strategy, consisted of the digital compensating algorithm and design considerations, is proposed based on the theoretical analysis and mathematical expression. The MFDB can be eliminated and additional circuits are not needed with the proposed strategy. Finally, a 1 kW prototype with the voltage-fed SSFB topology is built to verify the effect of the proposed approach. The voltage-second imbalance is reduced to less than 1% using the proposed suppression strategy compared with 14% when the strategy is not used. Consequently, the system reliability and the efficiency are improved. research is seldom studied comprehensively. In [10], the flux density bias problem is mentioned, and a protection circuit is used to limit the maximum magnetizing current. Detailed theoretical analysis is not involved, and the efficiency is still affected.In this paper, the generation principle of the MFDB is analyzed in detail. Then the mathematical expression of the maximum MFDB is deduced. Based on these theoretical analyses, a novel strategy is developed to avoid the transformer saturation in the voltage-fed SSFB converter. The paper is organized as follows. In Section 2, the principle of flux density bias generation is analyzed. Besides, the maximum MFDB is calculated in this section. Section 3 gives several conventional solutions for suppressing the MFDB. The proposed suppressing strategy including design consideration is presented in Section 4. In Section 5, a 1-kW prototype with voltage SSFB topology is built and tested. With the proposed strategy, the system reliability is improved, and the efficiency is increased. The conclusions are given in Section 6. GENERATION MECHANISM OF THE MFDBThe circuit diagram of the voltage-fed SSFB converter is shown in Figure 1. The two bridge legs of the full-bridge converter are composed of four transistors, Q 1 , Q 2 , Q 3 and Q 4 , in which, Q 2 and Q 4 are also used to perform the same current-shaping function as the switch in a boost converter. Components D S1 , D S2 , L 1 and L 2 make up a semi-bridgeless converter. The power transformer T r , resonant inductance L r (including the leakage inductance), output rectifier diodes D R1 and D R2 , output filter inductance L O and capacitance C O make up a standard full-bridge converter [11][12][13]]. An energy store capacitor C F is placed across the primary-side dc bus. MFDB generation mechanismThe MFDB occurs when the voltage-second balance of the magnetizing inductance is not achieved. Actually, this phenomenon may occur in most full-bridge converter b...

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“…In particular, if the series resistance of the inductor ρ L can be related to inductance l, using, for example, a theoretical model accounting for various constructions of inductors [16][17][18], proximity effect [19] or harmonic contents [20], then the derived corrections allow to find the optimal inductance l. Being able to estimate the impact of the internal battery resistance enables determination without simulation or prototyping whether a particular kind of batteries is suitable for an application. In particular, if the series resistance of the inductor ρ L can be related to inductance l, using, for example, a theoretical model accounting for various constructions of inductors [16][17][18], proximity effect [19] or harmonic contents [20], then the derived corrections allow to find the optimal inductance l. Being able to estimate the impact of the internal battery resistance enables determination without simulation or prototyping whether a particular kind of batteries is suitable for an application.…”

Section: First-order Correctionsmentioning

confidence: 99%

Modelling of battery‐powered boost DC–DC power LED driver with parasitics by multivariate power series expansion

Rudziński

2014

Circuit Theory & Apps

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This paper presents an analytic model of a battery-powered boost DC-DC converter driving a power light emitting diode. The model is capable of taking into account parasitic components, including series resistances, parasitic capacitances and inductances. Unlike the standard approach to the converter modelling, the discussed model does not require any assumptions concerning current and voltage waveforms. It is based on power series expansion in normalized values of the parasitic components, leading to expressions comprising only physical parameters of the circuit. First-order corrections are derived and illustrated in this paper.

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Optimum foil thickness of inductors conducting DC and non-sinusoidal periodic currents

Cited by 28 publications

References 14 publications

Thermal analytical winding size optimization for different conductor shapes

Thermal analytical winding size optimization for different conductor shapes

Magnetic flux density bias analysis and suppression strategy for voltage‐fed single‐stage full‐bridge converter

Modelling of battery‐powered boost DC–DC power LED driver with parasitics by multivariate power series expansion

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