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# Contribution to the sizing of the modular multilevel converter

Abstract : The modular multilevel converter is a suitable solution for HVDC grids thanks to its modularity, low switching frequency and quasi-sinusoidal AC voltage. However, due to its topology, its mathematical model is quite complex and is therefore often simplified at the design stage. In particular, the arm equivalent resistance R, the arm inductance L and the circulating current are often neglected. But experimental results obtained with our 1-ph 6-level full-bridge MMC prototype showed that these hypotheses are not always acceptable. In this context, the goal of this thesis is to study the impact of accounting for R, L and the circulating current on the module capacitor voltage and on the operating area of the converter. First, we extended the commonly used integral based model and we clarified the hypotheses behind it. Among others, expressions for the circulating and dc currents have been developed and compared with the one that can be found in the literature. It allowed us to analyze the module capacitor voltage ripple as a function of R and L, without circulating current only. Second, to overcome the limitations of the integral based model, we proposed to use a steady state time invariant (DeltaSiga) MMC model in dq0 frame. Only few hypotheses are required to obtain this model, but a numerical evaluation is required. It allowed us to analyze the module capacitor average voltage and the module capacitor voltage ripple as a function of R and L, with and without circulating current. Third, using the steady state time invariant model, we developed a detailed PQ diagram of the MMC. In addition to the conventional AC current limit, DC current limit and modulation index limit, we added several internal limits: IGBT current, arm rms current and module capacitor voltage and current ripple. The results have been confirmed by numerical simulation using a detailed Matlab Simulink SimPowerSystems model. The results presented in this thesis could be used to optimize the sizing of the components of the MMC considering its operating area, and to assess the impact of different parameters on the MMC performance.
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Cited literature [84 references]

https://tel.archives-ouvertes.fr/tel-02308196
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Submitted on : Tuesday, October 8, 2019 - 1:19:07 PM
Last modification on : Saturday, December 4, 2021 - 4:04:26 AM

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• HAL Id : tel-02308196, version 1

### Citation

Bogdan Džonlaga. Contribution to the sizing of the modular multilevel converter. Electric power. Université Paris Saclay (COmUE), 2019. English. ⟨NNT : 2019SACLS297⟩. ⟨tel-02308196⟩

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