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Linearly Decoupled Control of a Dynamic Voltage Restorer without Energy Storage

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  • Luis Ramon Merchan-Villalba

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

  • Jose Merced Lozano-Garcia

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

  • Juan Gabriel Avina-Cervantes

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

  • Hector Javier Estrada-Garcia

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

  • Alejandro Pizano-Martinez

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

  • Cristian Andres Carreno-Meneses

    (Engineering Division Campus Irapuato-Salamanca, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8, Com. Palo Blanco, Salamanca 36885, Mexico)

Abstract

This paper presents the design of a decoupled linear control strategy for a Dynamic Voltage Restorer (DVR) that utilizes a Matrix Converter (MC) as its core element and obtains the compensation energy directly from the power system. This DVR is intended to cope with power quality problems present in supply system voltages such as balanced and unbalanced variations (sags and swells), and harmonic distortion. The dynamic model of the complete system that includes the Matrix Converter, the input filters and the electrical grid, is performed in the synchronous reference frame ( d q 0 ), to have constant signals at the fundamental frequency, in order to design the proposed linear control strategy. The coupling in the d q components of the system output signals caused by the Park Transformation, is eliminated by a change of variable proposed for the controller design, giving rise to a decoupled linear control. In this way, the strategy developed makes it possible to establish an adequate transient response for the converter in terms of convergence speed and overshoot magnitude, in addition to ensuring closed-loop system stability under bounded operating conditions. Unlike other proposals that utilize complex modulation strategies to control the MC under adverse conditions at the input terminals, in this case, the ability to generate fully controllable output voltages, regardless of the condition of the input signals, is provided by the designed linear controller. This allows the development of a multifunctional compensator with a simple control that could be of easy implementation. In order to verify the performance of the control strategy developed, and the effectiveness of the proposed DVR to mitigate the power quality problems already mentioned, several case studies are presented. The operational capacity of the MC is demonstrated by the obtained simulation results, which clearly reveals the capability of the DVR to eliminate voltage swells up to 50% and sags less than 50%. The compensation limit reached for sags is 37%. In relation to compensation for unbalanced voltage variations, the DVR manages to reduce the voltage imbalance from 11.11% to 0.37%. Finally, with regard to the operation of the DVR as an active voltage filter, the compensator is capable of reducing a THD of 20% calculated on the supply voltage, to a value of 1.53% measured at the load terminals. In the last two cases, the DVR mitigates disturbances to a level below the criteria established in the IEEE standard for power quality. Results obtained from numerical simulations performed in MATLAB/Simulink serve to validate the proposal, given that for each condition analyzed, the MC had succesfully generated the adequate compensation voltages, thus corroborating the robustness and effectiveness of the control strategy developed in this proposal.

Suggested Citation

  • Luis Ramon Merchan-Villalba & Jose Merced Lozano-Garcia & Juan Gabriel Avina-Cervantes & Hector Javier Estrada-Garcia & Alejandro Pizano-Martinez & Cristian Andres Carreno-Meneses, 2020. "Linearly Decoupled Control of a Dynamic Voltage Restorer without Energy Storage," Mathematics, MDPI, vol. 8(10), pages 1-18, October.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1794-:d:428505
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    References listed on IDEAS

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    1. U.M. Al-Saggaf & I.M. Mehedi & R. Mansouri & M. Bettayeb, 2016. "State feedback with fractional integral control design based on the Bode’s ideal transfer function," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 149-161, January.
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    Cited by:

    1. Abdul Hameed Soomro & Abdul Sattar Larik & Mukhtiar Ahmed Mahar & Anwar Ali Sahito, 2022. "Simulation-Based Comparison of PID with Sliding Mode Controller for Matrix-Converter-Based Dynamic Voltage Restorer under Variation of System Parameters to Alleviate the Voltage Sag in Distribution Sy," Sustainability, MDPI, vol. 14(21), pages 1-16, November.
    2. Mario Versaci, 2022. "Preface to the Special Issue “Mathematical Modeling in Industrial Engineering and Electrical Engineering”—Special Issue Book," Mathematics, MDPI, vol. 10(21), pages 1-5, October.

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