Control system analysis and design of a resonant inverter with the variable frequency variable duty cycle scheme

Tian, Jingjing; Petzoldt, J.; Reimann, T.; Scherf, M.; Berger, G.

doi:10.1109/pesc.2006.1711829

Cited by 15 publications

(14 citation statements)

References 4 publications

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“…The relation between the current amplitude i L and the current phase angle T to the control inputs, d and ɘ sw , is nonlinear, and small-signal analysis was employed in [18,19].…”

Section: B Small Signal Low Frequency Current and Power Modelsmentioning

confidence: 99%

“…The value of d M w w is derived in [18]. Under resonance operation, a zero-pole cancellation occurs in G șdr (s) (A1) and thus a first-order transfer function is obtained in (55).…”

Section: B Small Signal Low Frequency Current and Power Modelsmentioning

confidence: 99%

“…Although these high-frequency terms can be dropped out, analytical transfer functions are difficult to be obtained even for a simple series resonant inverter (SRI). For induction heating applications, in [14,15] the small-signal model of a phase-shift and frequency controlled SRI by EDF are presented respectively, in [16] the small-signal model of a dual half bridge series resonant inverter (DHBSRI) by EDF is provided, in [17][18][19] a small-signal model of a half-bridge series resonant inverter (HBSRI) by phase-based phasor transformation is obtained. However, neither [14][15][16] nor [17][18][19] provides analytical transfer functions.…”

Section: Introductionmentioning

confidence: 99%

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Reduced-Order Models of Series Resonant Inverters in Induction Heating Applications

Domínguez

Barragán

Artigas

et al. 2017

IEEE Trans. Power Electron.

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Abstract--From the controller design framework, a simple analytical model that captures the dominant behavior in the range of interest is the optimal. When modeling resonant circuits, complex mathematical models are obtained. These high-order models are not the most suitable for controller design. Although some assumptions can be made for simplifying these models, variable frequency operation or load uncertainty can make these premises no longer valid. In this work, a systematic modeling order reduction technique, Slowly Varying Amplitude and Phase (SVAP), is considered for obtaining simpler analytical models of resonant inverters. SVAP gives identical results as the classical model-order residualization technique from automatic control theory. A slight modification of SVAP, Slowly Varying Amplitude Derivative and Phase (SVADP) is applied in this paper to obtain a better validity range. SVADP is validated for a half-bridge series resonant inverter (HBSRI) and for a highorder plant, a dual-half bridge series resonant inverter (DHBSRI) giving analytical second-order transfer functions for both topologies. Simulation and experimental results are provided to show the validity range of the reduced-order models.

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“…The relation between the current amplitude i L and the current phase angle T to the control inputs, d and ɘ sw , is nonlinear, and small-signal analysis was employed in [18,19].…”

Section: B Small Signal Low Frequency Current and Power Modelsmentioning

confidence: 99%

“…The value of d M w w is derived in [18]. Under resonance operation, a zero-pole cancellation occurs in G șdr (s) (A1) and thus a first-order transfer function is obtained in (55).…”

Section: B Small Signal Low Frequency Current and Power Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reduced-Order Models of Series Resonant Inverters in Induction Heating Applications

Domínguez

Barragán

Artigas

et al. 2017

IEEE Trans. Power Electron.

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“…The output power of the resonant inverter has to controlled by adjusting the duty cycle of the IGBT using power loop circuit based on simple integrator I controller or PI controller [17]- [18]. A PLL is used as frequency tracking control circuit.…”

Section: Proposed Control Systemmentioning

confidence: 99%

An Improved PIλ Controller for Resonant Inverter Induction Heating Systems under Load and Line Variations

Helaimi¹,

Benghanem²,

Belmadani³

2012

SIC

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This paper presents the description, analysis and control of an LLC resonant inverter suitable for induction heating applications. The output power of the proposed inverter has to be controlled by adjusting the duty cycle of the switches using a power loop circuit based on fractional order PI λ controller. A phased locked loop (PLL) is used as frequency tracking control circuit. The complete closed loop control model is obtained using small signal analysis. The validity of the proposed control is verified by simulation results. Results of this simulation are compared to those obtained by using a PI controller. They show that the improved PI λ controller exhibits a much better behaviour.

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“…In order to synchronize the converter and its switching frequency, most authors use phase‐locked loop (PLL) schemes . The phase‐shift between current and voltage is measured through an XOR gate and a low pass filter used to obtain a proportional voltage.…”

Section: Introductionmentioning

confidence: 99%

All-digital DSP-based phase-locked loop for induction heating applications

Segura

Sala-Perez

Lopez-Mestre³

et al. 2012

Int. Trans. Electr. Energ. Syst.

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Phase-locked loop schemes are widely used in induction heating applications for controlling the converters.\ud Most authors use total or partial analog solutions to implement the control schemes, which are less sturdy\ud and flexible to changes than digital schemes. In this paper, an all-digital DSP-based PLL is presented. It\ud has fewer variations due to the tolerances of the analog components and provides great flexibility in a wide\ud range of conditions just by reprogramming. Moreover, it allows changing dynamically some of the parameters\ud during the process and opens up the possibility of more complex control algorithms. The all-digital\ud PLL has been simulated and experimentally tested, demonstrating the feasibility and reliability of this type of\ud control in a real industrial equipmentPostprint (published version

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Control system analysis and design of a resonant inverter with the variable frequency variable duty cycle scheme

Cited by 15 publications

References 4 publications

Reduced-Order Models of Series Resonant Inverters in Induction Heating Applications

Reduced-Order Models of Series Resonant Inverters in Induction Heating Applications

An Improved PIλ Controller for Resonant Inverter Induction Heating Systems under Load and Line Variations

All-digital DSP-based phase-locked loop for induction heating applications

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