Limitations and Accuracy of a Continuous Reduced-Order Model for Modular Multilevel Converters

This paper analyzes the limitations of a reduced-order model for modular multilevel converters (MMCs) by elucidating the relation between its accuracy, operating frequency, and converter parameters. A reduced-order simplifies the analysis of the MMC and thereby may provide additional information about the converter behavior. However, the accuracy of such model depends on several factors. In this paper, the effect of approximating the converter as a continuous system by neglecting quantization issues associated with having a finite number of modules is studied in detail. The analysis is done based on Fourier-series approximations with which it is possible to elucidate the relationship between the resonant frequencies of the MMC and the error of the reduced-order model. With the Fourier approximation, it is also possible to characterize resonant frequencies of the converter, both numerically and analytically, in terms of the converter parameters. The results can serve as a tool to identify situations when the reduced-order model produces good and also less accurate approximations especially when a low number of modules is available.

[1]  Samir Kouro,et al.  Circuit Topologies, Modeling, Control Schemes, and Applications of Modular Multilevel Converters , 2015, IEEE Transactions on Power Electronics.

[2]  Mariusz Malinowski,et al.  A Survey on Cascaded Multilevel Inverters , 2010, IEEE Transactions on Industrial Electronics.

[3]  Kai Zhang,et al.  An Improved Control System for Modular Multilevel Converters with New Modulation Strategy and Voltage Balancing Control , 2015, IEEE Transactions on Power Electronics.

[4]  A. M. Gole,et al.  The use of averaged-value model of modular multilevel converter in DC grid , 2015, 2015 IEEE Power & Energy Society General Meeting.

[5]  J. Pou,et al.  Optimal injection of harmonics in circulating currents of modular multilevel converters for capacitor voltage ripple minimization , 2013, 2013 IEEE ECCE Asia Downunder.

[6]  Xikui Ma,et al.  An Improved Phase-Shifted Carrier Modulation for Modular Multilevel Converter to Suppress the Influence of Fluctuation of Capacitor Voltage , 2016, IEEE Transactions on Power Electronics.

[7]  Udaya K. Madawala,et al.  Model Predictive Direct Current Control of Modular Multilevel Converters: Modeling, Analysis, and Experimental Evaluation , 2015, IEEE Transactions on Power Electronics.

[8]  Wuhua Li,et al.  Average-Value Model of Modular Multilevel Converters Considering Capacitor Voltage Ripple , 2017, IEEE Transactions on Power Delivery.

[9]  Staffan Norrga,et al.  A Computationally Efficient Continuous Model for the Modular Multilevel Converter , 2014, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[10]  Marcelo A. Pérez,et al.  Predictive Control of AC–AC Modular Multilevel Converters , 2012, IEEE Transactions on Industrial Electronics.

[11]  Xu Cai,et al.  Frequency Domain Stability Analysis of MMC-Based HVdc for Wind Farm Integration , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[12]  Remus Teodorescu,et al.  Design, Control, and Application of Modular Multilevel Converters for HVDC Transmission Systems , 2016 .

[13]  Staffan Norrga,et al.  Dynamic Analysis of Modular Multilevel Converters , 2013, IEEE Transactions on Industrial Electronics.

[14]  Wenhua Liu,et al.  A Steady-State Analysis Method for a Modular Multilevel Converter , 2013, IEEE Transactions on Power Electronics.

[15]  Li Peng,et al.  Analysis and Suppressing Method for the Output Voltage Harmonics of Modular Multilevel Converter , 2016, IEEE Transactions on Power Electronics.

[16]  Hans-Peter Nee,et al.  Continuous modeling of open-loop control based negative sequence current control of modular multilevel converters for HVDC transmission , 2013, 2013 15th European Conference on Power Electronics and Applications (EPE).

[17]  R. Marquardt,et al.  Modular Multilevel Converter: An universal concept for HVDC-Networks and extended DC-Bus-applications , 2010, The 2010 International Power Electronics Conference - ECCE ASIA -.

[18]  Daniel E. Quevedo,et al.  Validation of a reduced order model for modular multilevel converters and analysis of circulating current , 2015, 2015 17th European Conference on Power Electronics and Applications (EPE'15 ECCE-Europe).

[19]  Nilanjan Ray Chaudhuri,et al.  Stability Analysis of Vector-Controlled Modular Multilevel Converters in Linear Time-Periodic Framework , 2016, IEEE Transactions on Power Electronics.

[20]  Dragan Jovcic,et al.  Small signal dynamic DQ model of Modular Multilevel Converter for system studies , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[21]  M. Barnes,et al.  Improved Accuracy Average Value Models of Modular Multilevel Converters , 2016, IEEE Transactions on Power Delivery.

[22]  Chengyong Zhao,et al.  Reliability Analysis and Redundancy Configuration of MMC With Hybrid Submodule Topologies , 2016, IEEE Transactions on Power Electronics.

[23]  Staffan Norrga,et al.  Validation of the continuous model of the modular multilevel converter with blocking/deblocking capability , 2012 .

[24]  Rainer Marquardt,et al.  An innovative modular multilevel converter topology suitable for a wide power range , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[25]  Staffan Norrga,et al.  A New Modulation Method for the Modular Multilevel Converter Allowing Fundamental Switching Frequency , 2012 .

[26]  Shaahin Filizadeh,et al.  Modeling modular multilevel converters using extended-frequency dynamic phasors , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[27]  K. Ilves,et al.  Open-Loop Control of Modular Multilevel Converters Using Estimation of Stored Energy , 2011, IEEE Transactions on Industry Applications.

[28]  K. Ilves,et al.  Frequency-domain modeling of modular multilevel converters , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[29]  Zhengming Zhao,et al.  An Improved Phase-Shifted Carrier Modulation Scheme for a Hybrid Modular Multilevel Converter , 2017, IEEE Transactions on Power Electronics.

[30]  J. Peralta,et al.  Detailed and Averaged Models for a 401-Level MMC–HVDC System , 2012, IEEE Transactions on Power Delivery.

[31]  K. Ilves,et al.  Steady-State Analysis of Interaction Between Harmonic Components of Arm and Line Quantities of Modular Multilevel Converters , 2012, IEEE Transactions on Power Electronics.

[32]  U N Gnanarathna,et al.  Efficient Modeling of Modular Multilevel HVDC Converters (MMC) on Electromagnetic Transient Simulation Programs , 2011, IEEE Transactions on Power Delivery.

[33]  Steffen Bernet,et al.  Continuous model of Modular Multilevel Converter with experimental verification , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[34]  Aniruddha M. Gole,et al.  Harmonic Instability in MMC-HVDC Converters Resulting From Internal Dynamics , 2016, IEEE Transactions on Power Delivery.

[35]  Jiangchao Qin,et al.  Predictive Control of a Modular Multilevel Converter for a Back-to-Back HVDC System , 2013, IEEE Transactions on Power Delivery.

[36]  Pavol Bauer,et al.  Steady-State Loss Model of Half-Bridge Modular Multilevel Converters , 2016, IEEE Transactions on Industry Applications.

[37]  Dragan Jovcic,et al.  Phasor model of Modular Multilevel Converter with circulating current suppression control , 2015, 2015 IEEE Power & Energy Society General Meeting.

[38]  Daniel E. Quevedo,et al.  Reference design for predictive control of modular multilevel converters , 2014, 2014 4th Australian Control Conference (AUCC).

[39]  Flavio G. Canavero,et al.  Steady-State Analysis of Switching Power Converters Via Augmented Time-Invariant Equivalents , 2014, IEEE Transactions on Power Electronics.

[40]  Xibo Yuan,et al.  Design and Experimental Evaluation of Fast Model Predictive Control for Modular Multilevel Converters , 2016, IEEE Transactions on Industrial Electronics.

[41]  Staffan Norrga,et al.  Capacitor voltage ripple shaping in modular multilevel converters allowing for operating region extension , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[42]  Hans-Peter Nee,et al.  Global Asymptotic Stability of Modular Multilevel Converters , 2014, IEEE Transactions on Industrial Electronics.