Large-Signal Model for the Stability Analysis of Matrix Converters

Casadei, D.; Clare, John; Empringham, Lee; Serra, G.; Tani, A.; Trentin, Andrew; Wheeler, Patrick; Zarri, L.

doi:10.1109/tie.2007.891999

Cited by 100 publications

(48 citation statements)

References 16 publications

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“…Retaining only the first-order terms, it is possible to obtain the small-signal model, useful to find the frequency response of the converter [9]:…”

Section: Stability Analysis Of 4q Converter With Current Controlled Smentioning

confidence: 99%

The Influence of Controller Parameters on the Quality of the Train Converter Current

Brenna

Foiadelli

Zaninelli

2011

Advances in Power Electronics

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This paper presents a stability analysis of train converters in order to evaluate how the controller parameters affect the absorbed current. The new dynamic model presented in this paper is capable of considering the time-variant nature of the system for the correct tuning of the feedback proportional-integral PI controller, applying a current controlled modulation technique never used in high-power traction converters. The reduction of the harmonic content of the current absorbed by a converter employed at the input stage onboard high-speed trains is really important, considering the interaction with the signaling system set up for traffic control. A computer model of the converter, considering both the power and the control structure, has also been implemented in order to deliver a validated tool for the developed theoretical analysis.

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“…Retaining only the first-order terms, it is possible to obtain the small-signal model, useful to find the frequency response of the converter [9]:…”

Section: Stability Analysis Of 4q Converter With Current Controlled Smentioning

confidence: 99%

The Influence of Controller Parameters on the Quality of the Train Converter Current

Brenna

Foiadelli

Zaninelli

2011

Advances in Power Electronics

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“…Here we extend analysis of the behaviour of the matrix converter to the nonlinear regime. (Prior investigation of the nonlinear development of the instability has so far been based on an approximation to the oscillatory state [2]; a comparison of our results with those from this approximation are discussed below, in Section 3.5.2. )…”

Section: Introductionmentioning

confidence: 97%

“…The key parameter is the output/input voltage transfer ratio, q. A linear stability analysis of the steady-state output indicates that the ripple appears through a Hopf bifurcation as q is increased through some threshold value q c ; the value of q c and other results such as the ripple frequency at onset have been computed by Casadei et al [2,3] for some typical system parameter values. Here we extend analysis of the behaviour of the matrix converter to the nonlinear regime.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 2 we set out the mathematical model [2,3] that we use to investigate the behaviour of the matrix converter, and indicate the means by which we solve the governing equations. In Section 3 we treat the case of zero transport delay, which allows significant analytical progress in calculating both the steady-state and oscillatory outputs.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear development of matrix-converter instabilities

Cox

Clare

2009

J Eng Math

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Abstract.Matrix converters convert a three-phase alternating-current power supply to a power supply of a different peak voltage and frequency, and are an emerging technology in a wide variety of applications. However, they are susceptible to an instability, whose behaviour is examined herein. The desired "steady-state" mode of operation of the matrix converter becomes unstable in a Hopf bifurcation as the output/input voltage transfer ratio, q, is increased through some threshold value, q c . Through weakly nonlinear analysis and direct numerical simulation of an averaged model, we show that this bifurcation is subcritical for typical parameter values, leading to hysteresis in the transition to the oscillatory state: there may thus be undesirable large-amplitude oscillations in the output voltages even when q is below the linear stability threshold value q c .

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“…The filter inductor suppresses the low-order harmonics from the power source. However, the LC filter, which has no energy storage, causes instability during operation and even results in severe system failure [3], [4]. The inherent resonance figure of the slightly damped LC filter mainly causes this issue.…”

Section: Introductionmentioning

confidence: 99%

One-Cycle Control Strategy with Active Damping for AC-DC Matrix Converter

Liu¹,

Zhang²,

Hou³

2014

Journal of Power Electronics

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This study presents an input filter resonance mitigation method for an AC-DC matrix converter. This method combines the advantages of the one-cycle control strategy and the active damping technique. Unnecessary sensors are removed, and system cost is reduced by employing the grid-side input currents as feedback to damp out LC resonance. A model that includes the proposed method and the input filter is established with consideration of the delay caused by the actual controller. A zero-pole map is employed to analyze model stability and to investigate virtual resistor parameter design principles. Based on a double closed-loop control scheme, the one-cycle control strategy does not require any complex modulation index control. Thus, this strategy can be more easily implemented than traditional space vector-based methods. Experimental results demonstrate the veracity of theoretical analysis and the feasibility of the proposed approach.

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Large-Signal Model for the Stability Analysis of Matrix Converters

Cited by 100 publications

References 16 publications

The Influence of Controller Parameters on the Quality of the Train Converter Current

The Influence of Controller Parameters on the Quality of the Train Converter Current

Nonlinear development of matrix-converter instabilities

One-Cycle Control Strategy with Active Damping for AC-DC Matrix Converter

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