Small-Signal Modeling of <i>LLC</i> Converters Using Homopolarity Cycle

Mohammadi, Mehdi; Degioanni, Franco; Mahdavi, Mohammad; Ordonez, Martin

doi:10.1109/tpel.2019.2933179

Cited by 16 publications

(10 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the principle of state‐space average, the small signal analysis method is used to analysis the steady‐state characteristics of the TSBI. According to (1)–(12), the following matrix expression can be obtained by introducing D .

\begin{matrix} (\begin{matrix} left L_{1} & 0 & 0 & 0 \\ left 0 & L_{2} & 0 & 0 \\ left 0 & 0 & C_{1} & 0 \\ left 0 & 0 & 0 & C_{2} \end{matrix}) p (\begin{matrix} left i_{L 1} \\ left i_{L 2} \\ left u_{C 1} \\ left u_{C 2} \end{matrix}) \\ = (\begin{matrix} left - R_{L 1} - D R_{C 1} & 0 & D & - 1 \\ left 0 & 0 & 0 & 1 \\ left - D & 0 & - \frac{1 - D}{R_{C 1}} & \frac{1 - D}{R_{C 1}} \\ left 1 & - 1 & \frac{1 - D}{R_{C 1}} & - \frac{1 - D}{R_{C 1}} \end{matrix}) (\begin{matrix} left i_{L 1} \\ left i_{L 2} \\ left u_{C 1} \\ left u_{C 2} \end{matrix}) \\ + \end{matrix}

…”

Section: Small‐signal Modelling Of Tsbimentioning

confidence: 99%

See 1 more Smart Citation

Modelling, analysis, and parameters design of filter‐integrated three‐switch boost inverter

Liu

et al. 2022

IET Power Electronics

View full text Add to dashboard Cite

By combining the filter circuit and boost circuit, the filter-integrated three-switch boost inverter (TSBI) is proposed in this paper. Different from the traditional boost inverter, TSBI achieves the boost function at the AC side, so the voltage stress on the switches is small. Through modelling and analysis, the boosting characteristics and filtering characteristics of the system are obtained. The proposed topology can significantly suppress the resonance spike and does not need to add additional filtering equipment, which can reduce the volume of equipment and system loss. In order to clearly illustrate the advantages and disadvantages of the proposed topology, this paper makes a detailed comparison with other types of inverters. Finally, the feasibility of the system is verified by experiment and simulation.

show abstract

\begin{matrix} (\begin{matrix} left L_{1} & 0 & 0 & 0 \\ left 0 & L_{2} & 0 & 0 \\ left 0 & 0 & C_{1} & 0 \\ left 0 & 0 & 0 & C_{2} \end{matrix}) p (\begin{matrix} left i_{L 1} \\ left i_{L 2} \\ left u_{C 1} \\ left u_{C 2} \end{matrix}) \\ = (\begin{matrix} left - R_{L 1} - D R_{C 1} & 0 & D & - 1 \\ left 0 & 0 & 0 & 1 \\ left - D & 0 & - \frac{1 - D}{R_{C 1}} & \frac{1 - D}{R_{C 1}} \\ left 1 & - 1 & \frac{1 - D}{R_{C 1}} & - \frac{1 - D}{R_{C 1}} \end{matrix}) (\begin{matrix} left i_{L 1} \\ left i_{L 2} \\ left u_{C 1} \\ left u_{C 2} \end{matrix}) \\ + \end{matrix}

…”

Section: Small‐signal Modelling Of Tsbimentioning

confidence: 99%

“…However, the LCL filter has a significant disadvantage, [12]. Its bode diagram has an obvious resonance peak at the resonance frequency, which can easily lead to system instability, [13].…”

Section: Introductionmentioning

confidence: 99%

Modelling, analysis, and parameters design of filter‐integrated three‐switch boost inverter

Liu

et al. 2022

IET Power Electronics

View full text Add to dashboard Cite

show abstract

“…In most conditions, Lm is larger than Lr, ωm is smaller than ωr and the time period from t1 to t2 is short. So the change of ir is very small in this period and the time period from 0 to t1 can be regarded as Tr/2 in [10,16]. But the requirements "Ir0+Ir1=0" and "Vc0+Vc1=0" are only met when fs is equal to fr.…”

Section: A Simplification Of Condition Imentioning

confidence: 99%

“…The results are shown in the table below. 150k/200k=0.75 [8] 3.4 0.4992 3k/5k=0.6 [10] 20 0.4570 230k/270k=0.8519 [13] 14.28 0.1397 71.43k/93k=0.7681 [15] 9.6 0.2913 75k/96k=0.7813 [16] 2.9268 0.4438 150k/189k=0.7937 [18] 2.7427 0.4221 480k/670k=0.7164 [21] 7 0.4397…”

Section: A Simplification Of Condition Imentioning

confidence: 99%

“…For example, the authors think the resonant current remain unchanged during the period while the LLC converter's rectifier is in the off-state, which only applies if the excitation inductor is much larger than the resonant inductor. In the literature [16], a new average smallsignal modeling technique is proposed based on [14,15], so the unsuitable assumptions still exist. In the literature [17][18][19], the power loss estimation methods are presented with TDA method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Time Domain Simplified Equations and its Iterative Calculation Model for LLC Resonant Converter

et al. 2020

View full text Add to dashboard Cite

LLC resonant converters can achieve soft switching and loss reduction. However, the analysis methods of wide frequency range LLC converters generally have problems with incomplete working condition analysis at non-resonant frequencies and there is always a tradeoff between the accuracy and the simplicity. These problems will affect the loss calculation, synchronous rectification and so on. The research objective of this paper focuses on the full-bridge LLC resonant converter. In this paper, three conditions are analyzed in time-domain including switching frequency lower than the resonant frequency at heavy load, switching frequency lower than the resonant frequency at light load, and switching frequency larger than the resonant frequency. Based on proper assumption and simplification, the approximate equivalent of the trigonometric function is used to simplify the complex time-domain equations. The simplified equations are obtained with the resonant capacitor voltage and resonant inductor current as the key variables. In order to make the simplified equations easy to use, an iterative calculation model is proposed with more simplicity than sophisticated software to solve nonlinear equations. The simplified equations and the model proposed in this paper are verified by comparison with the fundamental analysis methods, the simulation, and the experiments. By using the iterative calculation model, the voltage, current, time and other variables of switching points can be obtained with the relative error less than 3% to theoretic values, which can be used in loss calculation, synchronous rectification and so on. And the iterative calculation model can be realized on DSP or other processors in real-time.

show abstract

Analytic discrete state-space model of LLC resonant converter

Rezaii,

Carvalho

2024

e-Prime - Advances in Electrical Engineering, Electronics and E

View full text Add to dashboard Cite

Small-Signal Modeling of LLC Converters Using Homopolarity Cycle

Cited by 16 publications

References 30 publications

Modelling, analysis, and parameters design of filter‐integrated three‐switch boost inverter

Modelling, analysis, and parameters design of filter‐integrated three‐switch boost inverter

Time Domain Simplified Equations and its Iterative Calculation Model for LLC Resonant Converter

Analytic discrete state-space model of LLC resonant converter

Contact Info

Product

Resources

About