Output Impedance Modeling of Single-Phase Grid-Tied Inverters With Capturing the Frequency-Coupling Effect of PLL

Qian, Qiang; Xie, Shaojun; Xu, Jinming; Xu, Kesen; Bian, Shenyiyang; Zhong, Nini

doi:10.1109/tpel.2019.2946984

Cited by 45 publications

(31 citation statements)

References 34 publications

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“…In the literature [18][19][20][21], the impact of PLL on the harmonic stability and impedance modeling of the grid-connected converter under a weak grid has been reported. Literature [18] introduced the double second-order generalized integrator (DSOGI-PLL) to increase the phase margin and improve the stability of the three-phase grid-connected converter.…”

Section: Introductionmentioning

confidence: 99%

“…Literature [18] introduced the double second-order generalized integrator (DSOGI-PLL) to increase the phase margin and improve the stability of the three-phase grid-connected converter. The harmonic stability improvement, taking the frequency coupling characteristics of the PLL, has been studied in [19] for a single-phase grid-connected converter. The authors in [20] have conducted the study revealing the grid-connected converter with modified PLL parameters to augment the stability analysis.…”

Section: Introductionmentioning

confidence: 99%

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Impact of Phase Locked Loop with Different Types and Control Dynamics on Resonance of DFIG System

et al. 2020

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In recent years, the doubly fed induction generator (DFIG) operates in a weak grid, rather than a strong grid due to the high proportion of wind energy into the power grid. The impedance interaction between the DFIG system and series and parallel compensated weak grid might cause the subsynchronous resonance (SSR) and high frequency resonance (HFR) in the DFIG system, respectively. Phase locked loop (PLL) is a popular grid synchronization technique, and the high bandwidth PLL can cause resonance at middle frequencies in the DFIG system. However, the impact of PLL types and their controller dynamics on the resonance in the DFIG system are not adequately researched. The impact of the PLL controller with different types, such as synchronous reference frame (SRF) and Lead/Lag PLL, is studied in this paper to fill this gap. Additionally, an improved PLL is proposed, which can guarantee the high phase margin and decrease the likelihood of the resonance at middle frequencies in the DFIG system under a weak grid. Moreover, the phase margin of the DFIG system impedance with an improved PLL is less sensitive to its controller parameters. Simulation and experimental results verify the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Impact of Phase Locked Loop with Different Types and Control Dynamics on Resonance of DFIG System

et al. 2020

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“…Then, [17] proposed a more detailed harmonic transfer matrix to model the frequency-coupling and sequence-coupling. Additionally, sequence-couplings in single-phase grid-connected CCI have also been proposed in [18] and [19], where the coupling effect of the PLL is expressed by the multi-frequency impedance matrix. Furthermore, considering sequencecouplings, many studies have tried to convert the admittance or impedance matrix to its equivalent SISO models to simplify the stability analysis [20]- [23].…”

Section: Introductionmentioning

confidence: 99%

“…[21] tried to convert the multi-input and multioutput (MIMO) dq-domain impedance-based stability analysis model into its equivalent SISO sequence-domain models, and [22] revealed the relationships of the dq-domain impedance and modified sequence-domain impedance. Additionally, stability analysis of single-phase CCIs in [18] and [19] replaced the multi-frequency impedance matrix by modified single-frequency impedance. Thus, the PLL-related resonances in single-phase CCI were clarified and mitigated.…”

Section: Introductionmentioning

confidence: 99%

Coupling-Related Instability Mechanism and Mitigation Analysis of the Instantaneous Power Based Current Controlled Inverter

Zheng

et al. 2020

IEEE Access

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Instabilities related to sequence-couplings of current controlled inverters (CCIs) have been recognized recently, but limited to accurate stability analysis of CCIs synchronized to the grid by the phaselocked loop (PLL). As for CCIs, another feasible grid-synchronization method is based on the instantaneous power (IP) theory, while instability recognitions of the IP-based CCI (IP-CCI) are lacking. Therefore, this paper reveals the instability mechanism and mitigation of the IP-CCI by comparison with the PLL-based CCI (PLL-CCI). Specifically, sequence-admittances of the IP-CCI are modeled, and interactions between sequence-couplings and circuit-coupling of the CCI-grid system are analyzed further. Simultaneously, influences of different system parameters on instabilities of the IP-CCI are thoroughly studied. Studies indicate that sequence-admittances of the IP-CCI exhibit closer sequence-couplings in comparison to that of the PLL-CCI, and negative damping of the IP-CCI is resulted from sequence-couplings, which clarifies interactive instabilities of the grid-connected IP-CCI are coupling-related. Therefore, corresponding instability mitigation can be achieved via sequence-decoupling methods, like the studied controller parameters regulation methods and the filter-based methods. Whereas, the stability deterioration level of sequence-couplings is grid-impedance-dependent, which means the weak grid would limit the decoupling performance. Nyquist plots, simulations and experiments are carried out to verify the studied couplingrelated instability of the IP-CCI. INDEX TERMS Current controlled inverter, instantaneous power, sequence-admittance, coupling-related instability.

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“…However, only the fundamental perturbed frequency harmonic in dc-side is considered. The single-frequency impedance model of single-phase inverter is established in [13], where only the PLL will result in FCE and other parts are linear. In contrast, the topology of single-phase VSR features inherent nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Input Impedance Modeling of Single-Phase Voltage Source Rectifier With Consideration of FrequencyCoupling Effect

Lin¹,

Su²,

Sun³

et al. 2020

Preprint

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Time-periodicity and non-linearity pose a challenge to the precise input impedance modeling of single-phase power converters. In this study, a precise input impedance model with measurability of the single-phase voltage source rectifier (VSR), which considers the frequency-coupling effect (FCE), is established. Meanwhile, it is revealed that the rectifier input impedance is dependent of the grid impedance. In the proposed modeling approach, only Laplace transform and frequencyshifting operation are required, which avoids the complicated convolution calculation in the frequency domain. In addition, the influence of grid impedance on the input impedance is studied. Simulations are conducted to verify the effectiveness of the proposed method. <br>

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Output Impedance Modeling of Single-Phase Grid-Tied Inverters With Capturing the Frequency-Coupling Effect of PLL

Cited by 45 publications

References 34 publications

Impact of Phase Locked Loop with Different Types and Control Dynamics on Resonance of DFIG System

Impact of Phase Locked Loop with Different Types and Control Dynamics on Resonance of DFIG System

Coupling-Related Instability Mechanism and Mitigation Analysis of the Instantaneous Power Based Current Controlled Inverter

Input Impedance Modeling of Single-Phase Voltage Source Rectifier With Consideration of FrequencyCoupling Effect

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