Truncation Order Selection Method for LTP-Theory-Based Stability Analysis of Converter Dominated Power Systems

Yang, Huoming; Dieckerhoff, Sibylle

doi:10.1109/tpel.2021.3076877

Cited by 7 publications

(1 citation statement)

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“…Linear Time Periodic (LTP) models are valuable tools for the analysis of frequency coupling effects generated by nonlinearities [2], [10], [23], [26], [27]. Some researches proposed LTP converter models and transformed them into an equivalent LTI system according to Floquet theory, in order to perform small-signal stability analyses under distorted grid conditions [26], [28]. Another application of LTP systems is to model the converters frequency coupling effects for static power system analyses, i.e.…”

Section: Introductionmentioning

confidence: 99%

LTP Modeling and Analysis of Frequency Coupling in PLL-Synchronized Converters for Harmonic Power Flow Studies

Cecati

Becker

Pugliese

et al. 2023

IEEE Trans. Smart Grid

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As known, nonlinear loads in power systems originate harmonic distortion and power quality issues. Converterinterfaced loads exhibit a nonlinear behaviour as well and may largely contribute to increase the harmonic pollution. The nonlinearities introduced by the PLL-synchronization and power control originate, indeed, a coupling mechanism between fundamental and harmonic frequencies. These harmonic coupling effects are not captured by traditional Norton/Thevenin equivalent converter models, leading to inaccurate harmonic power flow analyses. This paper proposes a Linear Time Periodic model of a PLL-synchronized converter to be used in Harmonic Power Flow analyses. A realistic 18-bus distribution grid hosting substantial amount of power-electronic interfaced resources is used as a case study. It is revealed that, in high grid loadability condition and with distorted grid supply voltage, the harmonics are significantly amplified by the converters and the fundamental components of the buses voltages are reduced, representing a risk for the voltage stability. This phenomenon is also influenced by the tuning of the current control loop and the PLL. The accuracy of the presented analyses is validated by comparing the harmonic power flow results with time-domain simulations.

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