Use of the mathematical model of the ignition system to analyze the spark discharge, including the destruction of spark plug electrodes

Różowicz, Sebastian

doi:10.1515/phys-2018-0011

Cited by 12 publications

(16 citation statements)

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“…In the CFE method, the s α factor can be presented as the quotient of the polynomials of the s variable and the order of the α derivative-here, these variables have integer powers [28,29].…”

Section: Selected Approximation Methods In the Analysis Of Fractionalmentioning

confidence: 99%

“…The voltage at the output and current at the input of the two-port network are shown in Figures 4 and 5. The waveforms were obtained for the real parameters of ignition coils, that is R1 = 0.2 ; L1 = 7 mH; R2 = 1380 ; L2 = 40 mH; U = 13 V [19][20][21][22].…”

Section: The Classic Magnetic Coupling Of Two Coilsmentioning

confidence: 99%

“…The result of the digital simulation of the solution is shown in Figure 7. The waveforms were obtained for the real parameters of ignition coils, that is [19][20][21][22].…”

Section: The Classic Magnetic Coupling Of Two Coilsmentioning

confidence: 99%

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Properties of Fractional-Order Magnetic Coupling

et al. 2020

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This paper presents the properties of fractional-order magnetic coupling. The difficulties connected with the analysis of two coils in dynamic states, resulting from the classical approach, provided motivation for studying the properties of fractional-order magnetic coupling. These difficulties arise from failure to comply with the commutation laws, i.e., a sudden power disappearance in the primary winding caused by a switch-mode power supply. Theoretically, under ideal conditions, a sudden power disappearance in the coil is, according to the classical method, manifested by a sudden voltage surge in the form of the Dirac delta function. As is well-known, it is difficult to obtain such ideal conditions in practice; the time of current disappearance does not equal zero due to the circuit breaker’s imperfection (even when electronic circuit breakers are used, the time equals several hundred nanoseconds). Furthermore, it is necessary to take into account phenomena occurring in real inductances, such as the skin effect, the influence of the ferromagnetic core and many other factors. It would be very difficult to model all these phenomena using classical differential calculus. The application of fractional-order differential calculus makes it possible to model them in a simple way by appropriate selection of coefficients and fractional-order derivatives. It should be mentioned that the analysis could be used, for example, in the case of high-voltage generation systems, including spark ignition systems of internal combustion engines. The use of fractional-order differential calculus will allow for more accurate modeling of phenomena occurring in such systems.

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Section: Selected Approximation Methods In the Analysis Of Fractionalmentioning

confidence: 99%

Section: The Classic Magnetic Coupling Of Two Coilsmentioning

confidence: 99%

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Properties of Fractional-Order Magnetic Coupling

et al. 2020

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“…In the CFE fractional power s can be represented as the quotient of the polynomials of the variable s and the order of the derivative α. Here the variables appear as integer exponents [11,12].…”

Section: Model Of the Ignition Systemmentioning

confidence: 99%

Archives of Electrical Engineering

Różowicz

2019

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“…The determination of these quantities is often inaccurate, e.g., in an overhead line the value of capacitance and leakage depends on the weather conditions, and is usually specified in certain ranges. The study of sensitivity of wave parameters to errors in the determination of unit parameters was presented in the paper [1]. This task was performed based on the definition of the relative sensitivity of electrical circuits [2,3].…”

Section: Introductionmentioning

confidence: 99%

Assessment of the Impact of Per Unit Parameters Errors on Wave and Output Parameters in a Transmission Line

et al. 2021

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The assessment of the impact of per unit length parameter errors on the determination of wave parameters, currents, and voltages at the end of the line has been presented in the paper. The impact on the above-mentioned values has been indicated. This paper presents an assessment of the impact of per unit parameter errors on the determination of both wave parameters, as well as currents and voltages at the end of a transmission line, although it is mainly focused on indicating which of the per unit parameters have the strongest impact on the above-mentioned values. For this purpose, elements of incremental sensitivity have been used.

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Use of the mathematical model of the ignition system to analyze the spark discharge, including the destruction of spark plug electrodes

Cited by 12 publications

References 1 publication

Properties of Fractional-Order Magnetic Coupling

Properties of Fractional-Order Magnetic Coupling

Archives of Electrical Engineering

Assessment of the Impact of Per Unit Parameters Errors on Wave and Output Parameters in a Transmission Line

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