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An LQR-Based Controller Design for an LCL-Filtered Grid-Connected Inverter in Discrete-Time State-Space under Distorted Grid Environment

Author

Listed:
  • Thuy Vi Tran

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

  • Seung-Jin Yoon

    (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

In order to alleviate the negative impacts of harmonically distorted grid conditions on inverters, this paper presents a linear quadratic regulator (LQR)-based current control design for an inductive-capacitive-inductive (LCL)-filtered grid-connected inverter. The proposed control scheme is constructed based on the internal model (IM) principle in which a full-state feedback controller is used for the purpose of stabilization and the integral terms as well as resonant terms are augmented into a control structure for the reference tracking and harmonic compensation, respectively. Additionally, the proposed scheme is implemented in the synchronous reference frame (SRF) to take advantage of the simultaneous compensation for both the negative and positive sequence harmonics by one resonant term. Since this leads to the decrease of necessary resonant terms by half, the computation effort of the controller can be reduced. With regard to the full-state feedback control approach for the LCL-filtered grid connected inverter, additional sensing devices are normally required to measure all of the system state variables. However, this causes a complexity in hardware and high implementation cost for measurement devices. To overcome this challenge, this paper presents a discrete-time current full-state observer that uses only the information from the control input, grid-side current sensor, and grid voltage sensor to estimate all of the system state variables with a high precision. Finally, an optimal linear quadratic control approach is introduced for the purpose of choosing optimal feedback gains, systematically, for both the controller and full-state observer. The simulation and experimental results are presented to prove the effectiveness and validity of the proposed control scheme.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:8:p:2062-:d:162622
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    References listed on IDEAS

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    1. 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.
    2. 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. Thanh Van Nguyen & Kyeong-Hwa Kim, 2019. "An Improved Power Management Strategy for MAS-Based Distributed Control of DC Microgrid under Communication Network Problems," Sustainability, MDPI, vol. 12(1), pages 1-27, December.
    2. Bo Pang & Heng Nian, 2019. "Improved Operation Strategy with Alternative Control Targets for Voltage Source Converter under Harmonically Distorted Grid Considering Inter-Harmonics," Energies, MDPI, vol. 12(7), pages 1-14, March.
    3. Boris Dumnic & Bane Popadic & Dragan Milicevic & Nikola Vukajlovic & Marko Delimar, 2019. "Control Strategy for a Grid Connected Converter in Active Unbalanced Distribution Systems," Energies, MDPI, vol. 12(7), pages 1-18, April.
    4. 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.
    5. 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.
    6. Raymundo Cordero & Thyago Estrabis & Gabriel Gentil & Matheus Caramalac & Walter Suemitsu & João Onofre & Moacyr Brito & Juliano dos Santos, 2022. "Tracking and Rejection of Biased Sinusoidal Signals Using Generalized Predictive Controller," Energies, MDPI, vol. 15(15), pages 1-13, August.
    7. Thuy Vi Tran & Myungbok Kim & Kyeong-Hwa Kim, 2019. "Frequency Adaptive Current Control Scheme for Grid-connected Inverter without Grid Voltage Sensors Based on Gradient Steepest Descent Method," Energies, MDPI, vol. 12(22), pages 1-27, November.
    8. Teuvo Suntio & Tuomas Messo, 2019. "Power Electronics in Renewable Energy Systems," Energies, MDPI, vol. 12(10), pages 1-5, May.
    9. Óscar Gonzales-Zurita & Jean-Michel Clairand & Elisa Peñalvo-López & Guillermo Escrivá-Escrivá, 2020. "Review on Multi-Objective Control Strategies for Distributed Generation on Inverter-Based Microgrids," Energies, MDPI, vol. 13(13), pages 1-29, July.

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