Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach

The modular multilevel converter (MMC) has been prominently used in medium- and high-power applications. This paper presents the control of output and circulating current of MMC using sliding mode control (SMC). The design of the proposed controller and the relation between control parameters and va...

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Main Authors: Waqar Uddin, Kamran Zeb, Muhammad Adil Khan, Muhammad Ishfaq, Imran Khan, Saif ul Islam, Hee-Je Kim, Gwan Soo Park, Cheewoo Lee
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/12/21/4084
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author Waqar Uddin
Kamran Zeb
Muhammad Adil Khan
Muhammad Ishfaq
Imran Khan
Saif ul Islam
Hee-Je Kim
Gwan Soo Park
Cheewoo Lee
author_facet Waqar Uddin
Kamran Zeb
Muhammad Adil Khan
Muhammad Ishfaq
Imran Khan
Saif ul Islam
Hee-Je Kim
Gwan Soo Park
Cheewoo Lee
author_sort Waqar Uddin
collection DOAJ
description The modular multilevel converter (MMC) has been prominently used in medium- and high-power applications. This paper presents the control of output and circulating current of MMC using sliding mode control (SMC). The design of the proposed controller and the relation between control parameters and validity condition are based on the system dynamics. The proposed designed controller enables the system to track its reference values. The controller is designed to control both output current and circulating current along with suppression of second harmonics contents in circulating current. Furthermore, the capacitor voltage and energy of the converter are also regulated. The control of output current is carried out in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mi>q</mi> </mrow> </semantics> </math> </inline-formula>-axis as well as in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>&#945;</mi> <mi>&#946;</mi> <mo>&#8722;</mo> <mi>a</mi> <mi>x</mi> <mi>i</mi> <mi>s</mi> </mrow> </semantics> </math> </inline-formula> with first-order switching law. However, a second-order switching law-based super twisting algorithm is used for controlling circulating current and suppression of its second harmonics contents. The stability of the controlled system is numerically calculated and verified by Lyapunov stability conditions. Moreover, the simulation results of the proposed controller are critically compared with the conventional proportional resonant (PR) controller to verify the effectiveness of the proposed control strategy. The proposed controller attains faster dynamic response and minimizes steady-state error comparatively. The simulation of the MMC model is carried out in MATLAB/Simulink.
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spelling doaj.art-f01ec71672304433b2d911c80aa5dab92022-12-22T04:28:41ZengMDPI AGEnergies1996-10732019-10-011221408410.3390/en12214084en12214084Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode ApproachWaqar Uddin0Kamran Zeb1Muhammad Adil Khan2Muhammad Ishfaq3Imran Khan4Saif ul Islam5Hee-Je Kim6Gwan Soo Park7Cheewoo Lee8School of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaDepartment of Electrical and Computer Science, Air University, Islamabad 44000, PakistanSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaC2N, University of Paris Sud, University of Paris Saclay, 10 Boulevard Thomas Gobert, 91120 Palaiseau, FranceSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaSchool of Electrical and Computer Engineering, Pusan National University, Busan 46241, KoreaThe modular multilevel converter (MMC) has been prominently used in medium- and high-power applications. This paper presents the control of output and circulating current of MMC using sliding mode control (SMC). The design of the proposed controller and the relation between control parameters and validity condition are based on the system dynamics. The proposed designed controller enables the system to track its reference values. The controller is designed to control both output current and circulating current along with suppression of second harmonics contents in circulating current. Furthermore, the capacitor voltage and energy of the converter are also regulated. The control of output current is carried out in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mi>q</mi> </mrow> </semantics> </math> </inline-formula>-axis as well as in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>&#945;</mi> <mi>&#946;</mi> <mo>&#8722;</mo> <mi>a</mi> <mi>x</mi> <mi>i</mi> <mi>s</mi> </mrow> </semantics> </math> </inline-formula> with first-order switching law. However, a second-order switching law-based super twisting algorithm is used for controlling circulating current and suppression of its second harmonics contents. The stability of the controlled system is numerically calculated and verified by Lyapunov stability conditions. Moreover, the simulation results of the proposed controller are critically compared with the conventional proportional resonant (PR) controller to verify the effectiveness of the proposed control strategy. The proposed controller attains faster dynamic response and minimizes steady-state error comparatively. The simulation of the MMC model is carried out in MATLAB/Simulink.https://www.mdpi.com/1996-1073/12/21/4084modular multilevel convertersliding mode controllyapunov stability
spellingShingle Waqar Uddin
Kamran Zeb
Muhammad Adil Khan
Muhammad Ishfaq
Imran Khan
Saif ul Islam
Hee-Je Kim
Gwan Soo Park
Cheewoo Lee
Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
Energies
modular multilevel converter
sliding mode control
lyapunov stability
title Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
title_full Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
title_fullStr Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
title_full_unstemmed Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
title_short Control of Output and Circulating Current of Modular Multilevel Converter Using a Sliding Mode Approach
title_sort control of output and circulating current of modular multilevel converter using a sliding mode approach
topic modular multilevel converter
sliding mode control
lyapunov stability
url https://www.mdpi.com/1996-1073/12/21/4084
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