Comparison of Prediction Techniques to Compensate Time Delays Caused by Digital Control of a Three-Phase Buck-Type PWM Rectifier System

Nußbaumer, Thomas; Heldwein, Marcelo Lobo; Gong, G.; Round, S.D.; Kolar, Johann W.

doi:10.1109/tie.2007.909061

Cited by 135 publications

(69 citation statements)

References 22 publications

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“…Therefore, for a sufficiently small delay τ the inverters will demonstrate a phase-locking behavior. According to [28], a good estimate of the overall delay introduced by the digital control is τ = 1.75T S 1 , where T S = 1/f S and f S ∈ R >0 is the switching frequency of the inverter. Since usually f S ∈ [5,20] kHz [16], τ is reasonably small in most practical applications.…”

Section: Application To a Microgrid Composed Of Two Droop-controllmentioning

confidence: 99%

Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids

Efimov

Schiffer

Ortega

2016

International Journal of Control

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Motivated by the problem of phase-locking in droop-controlled inverter-based microgrids with delays, the recently developed theory of input-to-state stability (ISS) for multistable systems is extended to the case of multistable systems with delayed dynamics. Sufficient conditions for ISS of delayed systems are presented using Lyapunov-Razumikhin functions. It is shown that ISS multistable systems are robust with respect to delays in a feedback. The derived theory is applied to two examples. First, the ISS property is established for the model of a nonlinear pendulum and delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumptions, the problem of phase-locking analysis in droop-controlled inverter-based microgrids with delays can be reduced to the stability investigation of the nonlinear pendulum. For this case, corresponding delay-dependent conditions for asymptotic phase-locking are given.

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Section: Application To a Microgrid Composed Of Two Droop-controllmentioning

confidence: 99%

Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids

Efimov

Schiffer

Ortega

2016

International Journal of Control

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“…Based on the Lyapunov stability analysis [24,27], the necessary and sufficient condition of the time-delay system is that all the roots of the characteristic Equation (5) is negative real part or the conjugate complex root with negative real part. Therefore, the critical condition of suspension instability is that there is only a purely imaginary eigenvalue represented by λ in Equation (5).…”

Section: Numerical Solution and Analysis Of Critical Time Delaymentioning

confidence: 99%

“…Recently, intensive research has been conducted on addressing the problem of the smith predictor [16,25,27] and time delay compensation control [19,21,24,26]. The authors in [17] investigated the effect of the time delay on stability and investigated a method to compensate for the time delay effect in order to ensure galloping suppression.…”

Section: Introductionmentioning

confidence: 99%

“…The authors in [17] investigated the effect of the time delay on stability and investigated a method to compensate for the time delay effect in order to ensure galloping suppression. In [27], the authors discussed the influence of the time delay on the stability of the inner current control loop and comparatively evaluated two prediction methods for time-delay compensation, i.e., a linear prediction and the Smith prediction. Moreover, the authors in [25] proposed a new method for controller tuning using an optimization method; the optimization method was based on dominating the gain of the minimum phase term in the open loop transfer function of the loop, such that the non-minimum phase effects of the model and process have become dominated by the minimum phase characteristic of the desired term.…”

Section: Introductionmentioning

confidence: 99%

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Stability analysis and fuzzy smith compensation control for semi-active suspension systems with time delay

Pang

Liu

2015

IFS

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Abstract. This paper investigates the problem of stability analysis and fuzzy-smith compensation control for semi-active suspension systems with time delay. The dynamic system of the suspension system with time delay is first formulated in terms of control objectives, such as ride comfort, road handling, and suspension deflection. By using the Lyapunov stability analysis, the necessary and sufficient condition of the critical time delay for the semi-active suspension is derived, and the numerical computation method of solving the asymptotic stability area for this suspension system is presented. Then, our work focuses on designing a Fuzzy-Smith predictive controller to satisfy suspension performance requirements. The control law adopted here is based on the smith predictive control principle, which ensures the control accuracy and stability of a time-delay suspension system. In order to overcome the challenging issues of the model uncertainties of input time delay, a Fuzzy-Smith predictive controller with time delay is established for the semi-active suspension. Furthermore, simulation and test results for the semi-active suspension are provided to demonstrate the effectiveness and feasibility of the proposed method.

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“…Capacitor current feedback active damping has been extensively used because it is simple to realize among the various active damping approaches [9]- [11]. However, in a digitally controlled system, there is an inevitable digital control delay between the sampling instant and the PWM updating instant which is equivalent to applying a unit time delay z -1 in the control loop [12]- [14]. Few references have thoroughly discussed the stability and damping performance of capacitor current feedback active damping when the digital control delay is taken into account, especially at low switching frequencies.…”

Section: Introductionmentioning

confidence: 99%

A Modified Capacitor Current Feedback Active Damping Approach for Grid Connected Converters with an LCL Filter

Wan¹,

Xiong²,

Ji³

et al. 2015

Journal of Power Electronics

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Capacitor current feedback active damping is extensively used in grid-connected converters with an LCL filter. However, systems tends to become unstable when the digital control delay is taken into account, especially in low switching frequencies. This paper discusses this issue by deriving a discrete model with a digital control delay and by presenting the stable region of an active damping loop from high to low switching frequencies. In order to overcome the disadvantage of capacitor current feedback active damping, this paper proposes a modified approach using grid current and converter current for feedback. This can expand the stable region and provide sufficient active damping whether in high or low switching frequencies. By applying the modified approach, the active damping loop can be simplified from fourth-order into second-order, and the design of the grid current loop can be simplified. The modified approach can work well when the grid impedance varies. Both the active damping performance and the dynamic performance of the current loop are verified by simulations and experimental results.

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Comparison of Prediction Techniques to Compensate Time Delays Caused by Digital Control of a Three-Phase Buck-Type PWM Rectifier System

Cited by 135 publications

References 22 publications

Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids

Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids

Stability analysis and fuzzy smith compensation control for semi-active suspension systems with time delay

A Modified Capacitor Current Feedback Active Damping Approach for Grid Connected Converters with an LCL Filter

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