Modeling of resonant inverters with high harmonic content using the extended describing function method

Domínguez, A.; Otín, A.; Barragán, L.A.; Lucía, Óscar; Artigas, J.I.

doi:10.1109/iecon.2012.6389109

Cited by 13 publications

(10 citation statements)

References 11 publications

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“…This surprising effect matches perfectly with the simplified equivalent circuit for a SRC proposed in [11]. After substituting (33) in (15), the 4 th small-signal model can be rewritten as a 2 nd reduced-order one as:…”

Section: ( )supporting

confidence: 56%

“…Although the assumption of 1 st harmonic content is only strictly valid when the resonant tank is high-Q selective and when Ȧ S is quite near resonance, the dynamics of the resonant inverter are well predicted with only the 1 st harmonic [15,28] :…”

Section: Hbsri Model Reduction With Svadp Methodsmentioning

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can be made for simplifying these models, variable frequency operation or load uncertainty can make these premises no longer valid.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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Section: ( )supporting

confidence: 56%

Section: Hbsri Model Reduction With Svadp Methodsmentioning

confidence: 99%

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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“…Since the outputs to be controlled are the active powers, P 1 and P 2 , the perturbation can be obtained as follows [4]:…”

Section: Small-signal Modelmentioning

confidence: 99%

“…The most widely used modeling techniques in resonant converters are the extended describing function (EDF), the generalized averaging method and the phasor transformation [4]. All of them are based on considering that the state variables are periodic functions that can be decomposed in Fourier series.…”

Section: Introductionmentioning

confidence: 99%

Small-signal model of dual half-bridge series resonant inverter sharing resonant capacitor for domestic induction heating

Domínguez

Barragán

Otín

et al. 2014

IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society

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The state-of-the-art of induction heating technology requires more and more multivariable control systems able to provide a suitable response for a wide set of vessels to be heated. The goal of this paper is to propose a small signal model of a multivariable system, a dual half-bridge series resonant inverter sharing a common resonant capacitor. A Phase Shift Square Wave Modulation (PSSWM) is considered to control the output power of two induction heating loads where the switching frequency and the phase shift are the control inputs. Thus, the topology to be controlled is a Two-Input-Two-Output (TITO) system that presents significant interactions between the inputs and the outputs. A transfer function matrix based on the harmonic balance approach is proposed and validated in simulation. Moreover, stability, output controllability and performance limitations are analyzed highlighting the control problems that arise in this particular application.

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FPGA implementation of a gain-scheduled controller for transient optimization of resonant converters applied to induction heating

Lucía

Jiménez

Urriza

et al. 2013

2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC)

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Modeling of resonant inverters with high harmonic content using the extended describing function method

Cited by 13 publications

References 11 publications

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

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

Small-signal model of dual half-bridge series resonant inverter sharing resonant capacitor for domestic induction heating

FPGA implementation of a gain-scheduled controller for transient optimization of resonant converters applied to induction heating

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