Bilinear Discrete-Time Modeling and Stability Analysis of the Digitally Controlled Dual Active Bridge Converter

Shi, Linjun; Liu, Wanjun; Li, Zhuoqiang; Huang, Jun; Cui, Yao; Wang, Yue

doi:10.1109/tpel.2016.2640659

Cited by 79 publications

(69 citation statements)

References 33 publications

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“…As can be seen from (25) and (27), when z = 1, the DMCR and discrete equivalent averaged model have the same DC gain and phase, which are V /D′ and 0°, respectively. When z = e jπ , the gain of DMCR at ω = π/T is VT(2L + bD′)/(4a − 2LT)D′ and the phase is −360°.…”

Section: Discrete-time Model Considering Current Ripplementioning

confidence: 93%

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Sensorless predictive current control with a charge balance current estimator for boost converters based on discrete‐time model considering current ripple

Chen

Tong

Min

et al. 2018

IET Power Electronics

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The performance of a sensorless predictive current controlled boost converter is usually susceptible to the accuracy of the employed converter and current estimator models. Since the accuracy of conventional current estimator would be degraded due to parasitic parameter variations, a charge balance current estimator (CBCE) is proposed to overcome this issue. Its estimation of peak inductor current is based on the charge balance principle of output capacitor and characteristics of inductor current ripple. Only one parasitic parameter-capacitor equivalent series resistance (ESR) is used in CBCE. Furthermore, the capacitor ESR is also estimated together with output load by a proposed equivalent load estimation scheme which can improve the current estimation accuracy. Besides, to achieve a high dynamic performance digital control, a discretetime model considering current ripple is developed, in which the ripple is taken into account rather than treats inductor current as a constant in each switching cycle. It can achieve a higher accuracy than conventional averaged model, especially in the high-frequency region. Finally, its effectiveness is verified by simulation and experiment results.

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Section: Discrete-time Model Considering Current Ripplementioning

confidence: 93%

“…(25) and (32), the z-transfer function from i ref to v can be given byG vi (z) = G di (z)G vd(z). (see (33)) .…”

mentioning

confidence: 99%

Sensorless predictive current control with a charge balance current estimator for boost converters based on discrete‐time model considering current ripple

Chen

Tong

Min

et al. 2018

IET Power Electronics

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show abstract

“…From Fig. 7b, u carrier (n − 1) and u control (n − 1) have two intersections, PWM driver signal When the inverter is in steady-stable period-1, switch's duty ratio is monotone by the principle of SPWM inverter [7,8]. At the same time, it can be seen that the five switch's duty ratios do not decrease monotonically at the falling edge of positive-half cycle, where…”

Section: Cause Analysis Of State-mutation Phenomenonmentioning

confidence: 96%

“…The discrete model of GCI can be built with this method without splitting the state equation, but it adds two more state variables artificially, so the order of the system is added by this means. Those papers only explore non‐linear behaviour of H‐bridge GCI under linear controller [5, 7, 8]. A high efficiency, non‐isolated grid‐connected inverter with H6‐type (NGCI‐H6) is proposed [9].…”

Section: Introductionmentioning

confidence: 99%

Discrete modelling and state‐mutation analysis for sliding mode controlled non‐isolated grid‐connected inverter with H6‐type

Dai

Zhuang

Ren

et al. 2017

IET Power Electronics

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To analyse stability and non-linear behaviour of the sliding mode controlled non-isolated grid-connected inverter with H6-type (SMCNGCI-H6) system, the discrete model of the SMCNGCI-H6 system is first established based on the quasi-static theory and stroboscopic map method. With the case of folded diagram, a particular non-linear behaviour (state-mutation phenomenon) is observed that the state variable changes from the period-1 state to the period-2 state at a certain switching cycle. Then the root cause of state-mutation phenomenon is explored. Meanwhile, regarding the variation of state-mutation switching cycle with the parameters of sliding mode controller (SMC), a novel criterion (state-mutation switching cycle criterion) is proposed to determine state-mutation switching cycle of the state variable. Finally, the simulation and experimental results prove the validity of the discrete modelling of SMCNGCI-H6 system and the state-mutation switching cycle criterion.

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“…However, this method needs to find a proper Lyapunov function in advance, which is complicated and sometimes impossible to obtain. There is also the literature related to the stability problem of the digitally controlled DAB converter [32]. However, the mechanism and effects of the time delay on the stability of MPC DAB converters are not studied.…”

mentioning

confidence: 99%

Modeling and Stability Analysis of Model Predictive Control Dual Active Bridge Converter

et al. 2019

Self Cite

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Digital control has been widely used in dual active bridge (DAB) converters, which are pivotal parts of electric vehicles and distributed generation systems. However, the time delays introduced by the digital control could affect the performance or even lead to the instability of the digitally controlled DAB converter. In order to reduce the effect of time delay on the dynamics and stability of the system, the model predictive control (MPC) of the DAB converter is proposed based on the discrete-time iteration in this paper to compensate for the digital control delay. According to the obtained discrete-time model, the instability mechanism of the MPC DAB converters with different parameters is revealed. The simulation and theoretical analysis indicate that this method could reduce the influence of the digital control delay and increase the stable range of the system compared with the conventional control strategy. The proposed method is also revealed to have a strong compatibility and portability. In addition, the accurately predicted stability boundaries can be applied to the practical parameter design and guarantee the stable operation of the system. The experimental results are consistent with the theoretical analysis and verify the proposed method.

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Bilinear Discrete-Time Modeling and Stability Analysis of the Digitally Controlled Dual Active Bridge Converter

Cited by 79 publications

References 33 publications

Sensorless predictive current control with a charge balance current estimator for boost converters based on discrete‐time model considering current ripple

Sensorless predictive current control with a charge balance current estimator for boost converters based on discrete‐time model considering current ripple

Discrete modelling and state‐mutation analysis for sliding mode controlled non‐isolated grid‐connected inverter with H6‐type

Modeling and Stability Analysis of Model Predictive Control Dual Active Bridge Converter

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