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A Systematic Controller Design for a Grid-Connected Inverter with LCL Filter Using a Discrete-Time Integral State Feedback Control and State Observer

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  • Seung-Jin Yoon

    (Department of Electrical and Information Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea)

  • Ngoc Bao Lai

    (Department of Electrical and Information Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea)

  • Kyeong-Hwa Kim

    (Department of Electrical and Information Engineering, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul 01811, Korea)

Abstract

Inductive-capacitive-inductive (LCL)-type filters are currently preferred as a replacement for L-type filters in distributed generation (DG) power systems, due to their superior harmonic attenuation capability. However, the third-order dynamics introduced by LCL filters pose a challenge to design a satisfactory controller for such a system. Conventionally, an LCL-filtered grid-connected inverter can be effectively controlled by using a full-state feedback control. However, this control approach requires the measurement of all system state variables, which brings about more complexity for the inverter system. To address this issue, this paper presents a systematic procedure to design an observer-based integral state feedback control for a LCL-filtered grid-connected inverter in the discrete-time domain. The proposed control scheme consists of an integral state feedback controller and a full-state observer which uses the control input, grid-side currents, and grid voltages to predict all the system state variables. Therefore, only the grid-side current sensors and grid voltage sensors are required to implement the proposed control scheme. Due to the discrete-time integrator incorporated in the state feedback controller, the proposed control scheme ensures both the reference tracking and disturbance rejection performance of the inverter system in a practical and simple way. As a result, superior control performance can be achieved by using the reduced number of sensors, which significantly reduces the cost and complexity of the LCL-filtered grid-connected inverter system in DG applications. To verify the practical usefulness of the proposed control scheme, a 2 kW three-phase prototype grid-connected inverter has been constructed, and the proposed control system has been implemented based on 32-bit floating-point digital signal processor (DSP) TMS320F28335. The effectiveness of the proposed scheme is demonstrated through the comprehensive simulation and experimental results.

Suggested Citation

  • Seung-Jin Yoon & Ngoc Bao Lai & Kyeong-Hwa Kim, 2018. "A Systematic Controller Design for a Grid-Connected Inverter with LCL Filter Using a Discrete-Time Integral State Feedback Control and State Observer," Energies, MDPI, vol. 11(2), pages 1-20, February.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:2:p:437-:d:132056
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    References listed on IDEAS

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    1. Tien Hai Nguyen & Kyeong-Hwa Kim, 2017. "Finite Control Set–Model Predictive Control with Modulation to Mitigate Harmonic Component in Output Current for a Grid-Connected Inverter under Distorted Grid Conditions," Energies, MDPI, vol. 10(7), pages 1-25, July.
    2. Bouzid, Allal M. & Guerrero, Josep M. & Cheriti, Ahmed & Bouhamida, Mohamed & Sicard, Pierre & Benghanem, Mustapha, 2015. "A survey on control of electric power distributed generation systems for microgrid applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 44(C), pages 751-766.
    3. Wei Jin & Yongli Li & Guangyu Sun & Lizhi Bu, 2017. "H∞ Repetitive Control Based on Active Damping with Reduced Computation Delay for LCL-Type Grid-Connected Inverters," Energies, MDPI, vol. 10(5), pages 1-19, April.
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    Cited by:

    1. Dante Mora & Ciro Núñez & Nancy Visairo & Juan Segundo & Eugenio Camargo, 2019. "Control for Three-Phase LCL-Filter PWM Rectifier with BESS-Oriented Application," Energies, MDPI, vol. 12(21), pages 1-17, October.
    2. Min Huang & Han Li & Weimin Wu & Frede Blaabjerg, 2019. "Observer-Based Sliding Mode Control to Improve Stability of Three-Phase LCL-Filtered Grid-Connected VSIs," Energies, MDPI, vol. 12(8), pages 1-15, April.
    3. Xiaotao Chen & Weimin Wu & Ning Gao & Jiahao Liu & Henry Shu-Hung Chung & Frede Blaabjerg, 2019. "Finite Control Set Model Predictive Control for an LCL-Filtered Grid-Tied Inverter with Full Status Estimations under Unbalanced Grid Voltage," Energies, MDPI, vol. 12(14), pages 1-22, July.
    4. Yuxing Liu & Jiazhu Xu & Zhikang Shuai & Yong Li & Yanjian Peng & Chonggan Liang & Guiping Cui & Sijia Hu & Mingmin Zhang & Bin Xie, 2020. "A Novel Harmonic Suppression Traction Transformer with Integrated Filtering Inductors for Railway Systems," Energies, MDPI, vol. 13(2), pages 1-18, January.
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    6. Thuy Vi Tran & Seung-Jin Yoon & Kyeong-Hwa Kim, 2018. "An LQR-Based Controller Design for an LCL-Filtered Grid-Connected Inverter in Discrete-Time State-Space under Distorted Grid Environment," Energies, MDPI, vol. 11(8), pages 1-28, August.
    7. Zhilin Lyu & Qing Wei & Yiyi Zhang & Junhui Zhao & Emad Manla, 2018. "Adaptive Virtual Impedance Droop Control Based on Consensus Control of Reactive Current," Energies, MDPI, vol. 11(7), pages 1-17, July.
    8. Rizka Bimarta & Thuy Vi Tran & Kyeong-Hwa Kim, 2018. "Frequency-Adaptive Current Controller Design Based on LQR State Feedback Control for a Grid-Connected Inverter under Distorted Grid," Energies, MDPI, vol. 11(10), pages 1-29, October.
    9. Faris Adnan Padhilah & Kyeong-Hwa Kim, 2020. "A Power Flow Control Strategy for Hybrid Control Architecture of DC Microgrid under Unreliable Grid Connection Considering Electricity Price Constraint," Sustainability, MDPI, vol. 12(18), pages 1-28, September.

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