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- W2896465235 abstract "Analysis of ac electrical systems can be performed via frame transformations in the time-domain or via harmonic transfer functions (HTFs) in the frequency-domain. The two approaches each have unique advantages but are hard to reconcile because the coupling effect in the frequency-domain leads to infinite dimensional HTF matrices that need to be truncated. This paper explores the relation between the two representations and shows that applying a frame transformation on the input-output signals creates a direct equivalence to a similarity transformation to the HTF matrix of the system. Under certain conditions, such similarity transformations have a diagonalizing effect which, essentially, reduces the HTF matrix order from infinity to two or one, making the matrix tractable mathematically without truncation or approximation. This theory is applied to a droop-controlled voltage source inverter as an illustrative example. A stability criterion is derived in the frequency-domain which agrees with the conventional state-space model but offers greater insights into the mechanism of instability in terms of the negative damping (non-passivity) under droop control. Therefore, the paper not only establishes a unified view in theory but also offers an effective practical tool for stability assessment." @default.
- W2896465235 created "2018-10-26" @default.
- W2896465235 creator A5025165020 @default.
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- W2896465235 date "2020-07-01" @default.
- W2896465235 modified "2023-09-26" @default.
- W2896465235 title "Interpreting Frame Transformations in AC Systems as Diagonalization of Harmonic Transfer Functions" @default.
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- W2896465235 doi "https://doi.org/10.1109/tcsi.2020.2976754" @default.
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