Modified Nodal Analysis-Based Determination of Transfer Functions for Multi-Inputs Multi-Outputs Linear Circuits

Yıldız, Ali Bekir

doi:10.1080/00051144.2010.11828391

Automatika

2010

DOI: 10.1080/00051144.2010.11828391

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Modified Nodal Analysis-Based Determination of Transfer Functions for Multi-Inputs Multi-Outputs Linear Circuits

Ali Bekir Yıldız

Abstract: Original scientific paperA generalized method for determination of transfer functions of circuits with multi-inputs multi-outputs is introduced. The paper proposes a systematic and efficient formulation for generating the transfer matrix containing transfer functions, necessary to model these kinds of circuits. The modified nodal analysis, whose application is simpler than the state-space analysis, is used in obtaining the system equations. The method is a matrix-based approach. It is suitable for both symboli… Show more

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2024

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Cited by 2 publications

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Asymmetric aerosol volume transmission: A computational approach toward infection prevention efficiency of face masks

de Winter,

Verhoeven,

Vermeulen

et al. 2024

Physics of Fluids

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Wearing face masks is considered as one of the infection prevention and control options for respiratory viruses (e.g., SARS-CoV-2) that acts by blocking virus-laden aerosols. It is generally thought that aerosol blockage occurs when air passes through the face mask fabric. We calculated air flows through face masks and through peripheral leakages, based on reported breathing resistance values of face masks (FFP/N95, surgical masks, and cloth masks) and found that most of the inhaled and exhaled air passes through these peripheral leakages. Nevertheless, face masks remain effective as an infection prevention option, because additional calculations showed that the majority of aerosol volume cannot follow the tortuous path of air around the face mask. The filtering efficiency through the peripheral leakages can be described as a function of breathing conditions, vocal activities, the leakage geometry and tortuous pathway, aerosol properties (diameter, composition) and ambient conditions (e.g., evaporation, ventilation). Inclusion of these parameters explains the asymmetric filtering behavior of face masks, i.e., the risk of infection from person A to person B does not necessarily equal the risk of infection from person B to person A. Our findings explain thus why masking an infectious person is more effective than masking an exposed person. Establishing that the tortuous pathway of air around the face mask is the sole contributor to face mask efficiency opens new opportunities for designing safer face masks.

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Asymmetric aerosol volume transmission: A computational approach toward infection prevention efficiency of face masks

de Winter,

Verhoeven,

Vermeulen

et al. 2024

Physics of Fluids

View full text Add to dashboard Cite

show abstract

Calculation of the Resonant Converters Control Characteristics by the Superposition Method

Pavlov,

Obrubov,

Vinnychenko

et al. 2024

Teh. elektrodin.

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The work presents the calculations of the control characteristics of the full-bridge resonant converter with a series resonant LLC circuit and frequency control by two methods - the first harmonic method and the superposition method. The theoretical results were verified by the analytical-structural modeling method. The power circuit of the resonant converter for the analysis of electromagnetic processes is replaced by a linear T-shaped circuit with two series resonant RLC-circuits and equivalent generators of rectangular voltages, which simulate a transistor inverter and a diode rectifier in the quasi-continuous current mode. Analytical-structural modeling method consists in partly analytical and partly structural ways of building a numerical model of the resonant converter in the form of the simulation model in the MATLAB-Simulink environment. Linear structural links of the model are created on the basis of integral equations of circles. Non-linear links are created based on the non-linear functions and causal relationships. The structural model based on these links takes into account the nonlinearity of the elements of the power circuit of the resonant converter and is based on simpler mathematical expressions compared to the equivalent mathematical model of the resonant converter. The structural model corresponds to the idea of the resonant converter in the form of the resonant circuit with independent equivalent voltage generators and allows to adjust the magnetic coupling coefficient between the transformer windings and simulate processes with arbitrary control functions of equivalent generators. The peculiarity of the use of the superposition method for calculating the static characteristics of the resonant converter is the need to match the voltage phases of the equivalent generators of the equivalent circuit during the changes of the operating frequency or relative load voltage. The dependence of the input voltage of the rectifier, which is simulated by the second equivalent generator, on the processes of the power circuit of the real resonant converter, determines the conditions for matching (adjusting) the phases of the equivalent generators. References 30, figures 5.

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Modified Nodal Analysis-Based Determination of Transfer Functions for Multi-Inputs Multi-Outputs Linear Circuits

Cited by 2 publications

References 8 publications

Asymmetric aerosol volume transmission: A computational approach toward infection prevention efficiency of face masks

Asymmetric aerosol volume transmission: A computational approach toward infection prevention efficiency of face masks

Calculation of the Resonant Converters Control Characteristics by the Superposition Method

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