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Extended Order Generalised Integral Control based Circulating Current Mitigating Scheme in Modular Multilevel Converters—A Balancing Approach Cover

Extended Order Generalised Integral Control based Circulating Current Mitigating Scheme in Modular Multilevel Converters—A Balancing Approach

Open Access
|Oct 2025

Figures & Tables

Figure 1.

Basic configuration of three-phase MMC. MMC, modular multilevel converter.

Figure 2.

Equivalent diagram of a 3-phase MMC. MMC, modular multilevel converter.

Figure 3.

Block diagram of proposed P + EOGIs based controller for minimisation of circulating current control. EOGIs, extended order generalised integrator; MMC, modular multilevel converter; PWM, pulse width modulation.

Figure 4.

Proposed controller used for MMC showing pole/zero responses. (X-axis-Real Part and Y-axis-Imaginary part). MMC, modular multilevel converter.

Figure 5.

System executed with conventional PI-controller for resistive load (a) circulating currents (b) active power output (c) output voltage of grid and (d) output current of grid (e) converter output voltage (f) converter output current (g) upper arm voltage of phase-a (h) lower arm voltage of phase-a (i) input DC voltage (j) input DC.

Figure 6.

System executed with proposed controller for resistive load (a) circulating currents (b) active power output (c) output voltage of grid and (d) output current of grid (e) converter output voltage (f) converter output current (g) upper arm voltage of phase-a (h) lower arm voltage of phase-a.

Figure 7.

Experimental hardware setup of proposed system.

Figure 8.

System executed with proposed controller for resistive load (a) circulating currents (b) output voltage of grid and (c) output current of grid (d) active power output (e) upper arm voltage of phase-a (f) lower arm voltage of phase-a (g) input DC voltage (h) input DC.

Figure 9.

Proposed system with (a) RL load (b) non-linear loads (c) non-linear loads and implementation of EOGI for harmonic mitigation (d) three phase currents during references. EOGI, extended order generalised integrator; RL, resistive-inductive load.

Figure 10.

Waveforms obtained using OPAL RT (New Delhi, India), and MATLAB and their comparison (a). Current waveforms (b). PWM signals and voltage waveforms (c). Tracking between them (d). DC bus voltage and its effect in variations. PWM, pulse width modulation.

Simulation parameters used in proposed configuration_

S. noParameterValue
1Rated active power20 MW
2Rated reactive power6.6 VAR
3DC supply33 kV
4DC link capacitor value300 µF
5Converter output voltage RMS11 kV
6Number of sub-modules per arm6
7Each sub-module capacitor value0.03 F
8Each sub-module capacitor voltage5,500 V
9Resistance of arm0.01 Ω
10Inductance of arm5 mH
11Line frequency50 Hz
12Carrier switching frequency2 kHz

Literature review_

ReferenceFocus areaKey contributionLimitations
Marquardt (2001)MMC fundamentalsIntroduced MMC topology for scalable high-voltage applicationsEarly work lacked detailed control strategies for circulating currents
Rodriguez et al. (2009)Multilevel convertersOverview of multilevel converter topologies and their industrial applicationsLimited focus on MMC -specific challenges like capacitor balancing
Dekka et al. (2017)MMC evolutionComprehensive review of MMC topologies, modulation and control methodsDid not address advanced harmonic suppression techniques
Tu et al. (2011)Circulating current controlProposed PI controllers in double-fundamental rotating frame for harmonic reductionIneffective under unbalanced grid conditions
Li et al. (2013)Passive control methodIntroduced arm inductance/resistance for circulating current suppressionHigh voltage disturbances and instability risks
Zhang et al. (2014)Hybrid controlCombined PI and repetitive controllers for harmonic eliminationComplex tuning, limited transient performance
He et al. (2015)Series PI-repetitive controlEnhanced PI transient performance with repetitive steady-state controlRestricted bandwidth, unsuitable for non-integer harmonics
Bergna et al. (2013)Energy-based controlDecoupled double synchronous frame for sequence component regulationHigh computational complexity, limited to three-phase systems
Proposed methodEOGI-based controlParallel multi-harmonic EOGIs (2nd, 4th and 6th-order)Requires ISE-optimised gains but achieves stability via Popov criterion
DOI: https://doi.org/10.2478/pead-2025-0021 | Journal eISSN: 2543-4292 | Journal ISSN: 2451-0262
Language: English
Page range: 325 - 341
Submitted on: Jan 16, 2025
Accepted on: Sep 5, 2025
Published on: Oct 31, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Pradeep Kumar, P. R. Sharma, Poonam Singhal, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.