Stationary Frame Equivalent Model of Proportional-Integral Controller in dq Synchronous Frame

Zou, Changyue; Liu, Bangyin; Duan, Shanxu; Li, Rui

doi:10.1109/tpel.2013.2296789

Cited by 82 publications

(46 citation statements)

References 12 publications

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“…Figure 10a presents the block diagram of the proposed control scheme. Using the math model described in [35], the equivalent transfer function in stationary reference frame for the dashed box in Figure 10a is derived as follows. A droop-Lyapunov-based control technique is proposed for single-phase converters in [33,34].…”

Section: Methods Transfer Functionmentioning

confidence: 99%

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Performance Improvement for Two-Stage Single-Phase Grid-Connected Converters Using a Fast DC Bus Control Scheme and a Novel Synchronous Frame Current Controller

Huang

Chen

2017

Energies

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Two-stage single-phase grid-connected converters are widely used in renewable energy applications. Due to the presence of a second harmonic ripple across the DC bus voltage, it is very challenging to design the DC bus voltage control scheme in single-phase grid-connected inverters. The DC bus voltage controller must filter the ripple and balance a tradeoff between low harmonic distortion and high bandwidth. This paper presents a fast DC bus voltage controller, which uses a second order digital finite impulse response (FIR) notch filter in conjunction with input power feedforward scheme to ensure the steady-state and dynamic performance. To gain the input power without extra hardware, a Kalman filter is incorporated to estimate the DC bus input current. At the same time, a modulation compensation strategy is implemented to eliminate the nonlinearity of the grid current control loop, which is caused by the DC bus voltage ripple. Moreover, a novel synchronous frame current controller for single-phase systems is also introduced, and its equivalent model in stationary frame has been derived. Simulation and experimental results are provided to verify the effective of the proposed control scheme.

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Section: Methods Transfer Functionmentioning

confidence: 99%

“…Therefore, from the above analysis, the proposed synchronous frame controller G c (s) is equivalent to a proportion-resonant controller in stationary frame as (35). Figure 11a presents Bode diagrams for a PR controller and a resonant controller.…”

Section: Methods Transfer Functionmentioning

confidence: 99%

Performance Improvement for Two-Stage Single-Phase Grid-Connected Converters Using a Fast DC Bus Control Scheme and a Novel Synchronous Frame Current Controller

Huang

Chen

2017

Energies

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“…Here, the synchronous reference frame equivalent PI (SRF-EPI) controller in the stationary frame was presented as an alternative solution for fundamental frequency reference signal tracking purposes [26], [28].…”

Section: A Stationary Frame Srf-epi Pi and Pr Controllersmentioning

confidence: 99%

“…where Gd (s) represents the delay in digital control, Td is delay time and it is related with analog-digital sampling process, PWM generation process, and hardware filtering [6], [26], [30]. The PWM switching frequency and the sampling frequency of the digital current controller are both selected to be 10 kHz.…”

Section: Virtual Resistance Based Active Damping (Ad) Strategymentioning

confidence: 99%

“…However, the approximation is not accurate and the coupling terms are ignored, either [25]. In [26], an accurate synchronous frame equivalent PI (SRF-EPI) in stationary frame with L filter was presented, which shows robust performance under a wide frequency range. However, the system with the LCL resonance is not considered and the effects of the power-stage parameter deviations and the grid background distortion were not taken into account, and the discrete model and the control delay effect were also neglected.…”

Section: Introductionmentioning

confidence: 99%

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Stationary Frame Current Control Evaluations for Three-Phase Grid-Connected Inverters with PVR-based Active Damped LCL Filters

Han¹,

Shen²,

Guerrero³

2016

Journal of Power Electronics

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Grid-connected inverters (GCIs) with LCL output filter have the ability of attenuating high-frequency (HF) switching ripples. However, by using only grid-current control, the system is prone to resonances if it is not properly damped, and the current distortion would be amplified significantly under highly distorted grid conditions. In this paper, a synchronous reference frame equivalent proportional-integral (SRF-EPI) controller in αβ stationary frame using the parallel virtual resistance-based active damping (PVR -AD) strategy for grid-interfaced distributed generation (DG) systems to suppress the LCL resonance is proposed. Although both proportional-resonant (PR) controller in αβ stationary frame and PI controller in dq synchronous frame achieve zero steady-state error, the amplitude-and phase-frequency characteristics differ greatly from each other except for the reference tracking at fundamental frequency. Therefore, an accurate SRF-EPI controller in αβ stationary frame is established to achieve precise tracking accuracy. Moreover, the robustness, harmonic rejection capabilities, and influence of control delay are investigated by the Nyquist stability criterion when the PVR-based AD method is adopted. Furthermore, the grid voltage feed-forward and multiple PR controllers are integrated in the current loop to mitigate the current distortion introduced by the grid background distortion. Besides, the parameters design guidelines are presented to show the feasibility and effectiveness of the proposed strategy. Finally, simulation and experimental results are provided to validate the feasibility of the proposed control approach.

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Model predictive current control of asymmetrical hybrid cascaded multilevel inverter

et al. 2022

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Stationary Frame Equivalent Model of Proportional-Integral Controller in dq Synchronous Frame

Cited by 82 publications

References 12 publications

Performance Improvement for Two-Stage Single-Phase Grid-Connected Converters Using a Fast DC Bus Control Scheme and a Novel Synchronous Frame Current Controller

Performance Improvement for Two-Stage Single-Phase Grid-Connected Converters Using a Fast DC Bus Control Scheme and a Novel Synchronous Frame Current Controller

Stationary Frame Current Control Evaluations for Three-Phase Grid-Connected Inverters with PVR-based Active Damped LCL Filters

Model predictive current control of asymmetrical hybrid cascaded multilevel inverter

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