Analytical Techniques for DC-DC Converters and 1Φ Inverters: A Comprehensive Review

Shete, Sangeeta H.; Joshi, P. M.

doi:10.1007/s40031-022-00759-x

Cited by 6 publications

(6 citation statements)

References 69 publications

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“…Small-signal modeling approaches aim at linearizing them around an equilibrium point so that they can be treated as linear time-invariant systems, which can benefit from the use of linear controllers. In this context, several small-signal modeling techniques are properly discussed and compared in [1]. Although this topic has been extensively explored in the literature, it has been the focus of recent research.…”

Section: Introductionmentioning

confidence: 99%

Generalized Pulse Width Modulation Switch Model for Converters Based on the Multistate Switching Cell in Discontinuous Conduction Mode

Tofoli

2024

Sensors

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This work introduces a generalized version of the pulse width modulation (PWM) switch model applied in the small-signal modeling of converters based on the multistate switching cell (MSSC) operating in discontinuous conduction mode (DCM). It consists of extending the concept formerly introduced by Vorperian for the representation of multiphase converters in DCM, yielding a circuit-based approach that does not rely on matrix manipulations unlike state-space averaging (SSA). The derived dc and ac models are valid for any number of switching states and any operating region defined in terms of the duty cycle, thus allowing for determining the voltage gain and distinct transfer functions. A thorough discussion of results is presented to demonstrate the applicability of the derived models to represent distinct configurations of the MSSC.

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Section: Introductionmentioning

confidence: 99%

Generalized Pulse Width Modulation Switch Model for Converters Based on the Multistate Switching Cell in Discontinuous Conduction Mode

Tofoli

2024

Sensors

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“…Considering that average modeling is widely popular, one can determine the smallsignal model of a power converter using state-space averaging (SSA), the pulse width modulation (PWM) switch model, circuit averaging, or special techniques, whereas each method has intrinsic advantages and drawbacks as discussed in Shete and Joshi. 4 Janke et al 5 derive ac models of the conventional buck, boost, and flyback converters employing circuit averaging. Similarly, the small-signal modeling of the single-ended primary inductance converter (SEPIC) and Cuk topologies is presented in Ayachit et al 6 and Kathi et al, 7 respectively, resulting in somewhat cumbersome transfer functions that represent fourth-order systems.…”

Section: Introductionmentioning

confidence: 99%

“…The literature on small‐signal analysis applied in power electronic converters is very well established, but it is still a modern topic. For instance, Shete and Joshi 4 classify the existing approaches for the analysis of dc‐dc converters and single‐phase inverters into numerical and analytical techniques. The latter ones exist in terms of average and discrete modeling solutions.…”

Section: Introductionmentioning

confidence: 99%

“…The latter ones exist in terms of average and discrete modeling solutions. Considering that average modeling is widely popular, one can determine the small‐signal model of a power converter using state‐space averaging (SSA), the pulse width modulation (PWM) switch model, circuit averaging, or special techniques, whereas each method has intrinsic advantages and drawbacks as discussed in Shete and Joshi 4 …”

Section: Introductionmentioning

confidence: 99%

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Unified small‐signal model for DC‐DC converters based on the three‐state switching cell operating in discontinuous conduction mode

Tofoli

2023

Circuit Theory & Apps

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SummaryUnified small‐signal modeling approaches are of paramount importance for the design of controllers and closed‐loop control systems in power electronic converters. In this sense, this work proposes the small‐signal analysis of non‐isolated dc‐dc converters employing the three‐state switching cell (3SSC) in discontinuous conduction mode (DCM). The modeling technique relies on the very same principles of the pulse width modulation (PWM) switch while not involving matrix operations, but only basic concepts related to electric circuits. Considering that the waveforms associated with the terminals of the 3SSC in DCM have a common behavior in all basic dc‐dc converters, it is possible to derive the small‐signal models for both operating regions of the 3SSC, that is, non‐overlapping mode (NOM) and overlapping mode (OM). Thus, one can effectively demonstrate that the same circuit can represent both modes, even though the coefficients that describe the models are calculated from distinct equations. The theoretical claims are validated in the frequency and time domains while comparing the model with the converter. The obtained results evidence that the unified model can accurately represent converters based on the 3SSC in DCM.

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“…A study of dynamic behaviour and assessment of stability of such nonlinear and complex circuits is a very challenging job. Article [1] presented the review of existing analytical techniques in a structured and meaningful manner and stated that the circuit averaging (CA), state space averaging (SSA), and PWM switch modelling are most commonly used analytical techniques, whereas signal flow graphs, energy factor, switching function, S-Z method are special techniques. SSA is an organised method which allows the inclusion of parasitic elements of a circuit even in the initial stage, permits to explore a linear system with a zero initial condition and nonlinear systems with all initial conditions [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of state space averaging and PWM with extra element theorem techniques for complex cascaded DC-DC Buck converter

Shete

Joshi

2023

Acta Polytech

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Until now, most commonly used state space averaging and PWM techniques have been applied to different converter topologies and their advantages and disadvantages were stated. However, the superiority of an analytical technique was not justified based on a parametric comparison of these techniques for the same converter topology. Hence, in this paper, first time a comparative evaluation of two commonly used modelling techniques for fourth order converter is presented. The first approach makes use of a state-space averaging of the converter and is based on analytical manipulations using different state representations of the converter. The second approach is based on PWM switch modelling with an extra element theorem and consists of topological manipulations. The two modelling techniques are applied to the same complex cascaded DC-DC Buck converter and a transfer function is obtained. These techniques are compared for different features and the study concludes that state space modelling technique is systematic and less complicated than PWM switch modelling with an extra element theorem for a higher order converter.

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Analytical Techniques for DC-DC Converters and 1Φ Inverters: A Comprehensive Review

Cited by 6 publications

References 69 publications

Generalized Pulse Width Modulation Switch Model for Converters Based on the Multistate Switching Cell in Discontinuous Conduction Mode

Generalized Pulse Width Modulation Switch Model for Converters Based on the Multistate Switching Cell in Discontinuous Conduction Mode

Unified small‐signal model for DC‐DC converters based on the three‐state switching cell operating in discontinuous conduction mode

Comparative study of state space averaging and PWM with extra element theorem techniques for complex cascaded DC-DC Buck converter

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