Dynamic phasor state-space solver for hybrid AC/DC systems
Saif Alsarayreh (TU Delft - Electrical Engineering, Mathematics and Computer Science)
R. Dimitrovski (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Al. Lekić (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
This paper presents a dynamic phasor-based state-space modelling framework for modular multilevel converters (MMCs) using multiple dq reference frames (DQsym). The main contribution is the development of a numerically stable state-space solver tailored to multi-dq dynamic phasor models. The solver employs integration and a systematic matrix update mechanism to consistently incorporate switching events within the unified state-space formulation, allowing harmonic interactions and topology changes to be captured without manual reconfiguration. The proposed framework is implemented as a standalone MATLAB/Simulink library to facilitate time-domain simulation and to provide a structured basis for future eigenvalue-based small-signal stability studies. The approach is validated on a point-to-point HVDC system and benchmarked against an EMT model. Results demonstrate that the DQsym-based implementation achieves EMT-level fidelity while maintaining state-space structure suitable for scalable, system-level analysis of converter-dominated grids.
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