Harmonic Analysis and Stability in Power Conversion Systems
Summary
Harmonic analysis and stability assessment lie at the heart of modern power conversion systems, which encompass devices such as inverters, rectifiers and variable-speed drives. The proliferation of power electronic converters in renewable energy integration, electric vehicle charging and distributed generation has accentuated the significance of harmonic distortion and its impact on system performance. Harmonic currents generated by switching actions can interact with network impedances, leading to resonance, voltage distortion and potential instability. Stability in this context refers to the ability of a converter-dominated network to maintain synchronism and acceptable voltage and frequency profiles under varying operating conditions, such as changes in load, generation or grid impedance. Analytical approaches range from frequency-domain models, which employ harmonic transfer functions or impedance spectroscopy, to time-domain and linear time-periodic (LTP) theories that capture periodic behaviour and non-linear control dynamics. Practical applications involve the design of passive and active filters, control-loop optimisation and impedance-shaping techniques to mitigate harmonic propagation and ensure robust operation. Advances in computational methods and measurement-based black-box identification have enabled more accurate prediction of stability boundaries and resonance phenomena, facilitating the reliable deployment of converter-based power systems at scale.
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Research from all publishers
Recent studies have introduced refined harmonic-domain models and simulation tools to enhance predictive accuracy and computational efficiency. A 2024 investigation employed harmonic state-space modelling of a three-level Vienna rectifier to characterise the transfer of harmonics between AC and DC sides, demonstrating its utility for converter control design and stability analysis. In 2023, a novel propagation framework based on scattering parameters from microwave theory was proposed for meshed transmission networks, allowing clear identification of harmonic pathways and quantification of source contributions under varying grid topologies. Earlier work in 2020 presented a hybrid-domain simulation tool that combined white-box device models with frequency-domain network representations, achieving rapid and reliable assessment of harmonic interactions in residential distribution networks and informing Monte Carlo-based harmonic risk studies.
Harmonic Analysis and Stability in Power Conversion Systems publication trend
The graph below shows the total number of articles in harmonic analysis and stability in power conversion systems across all publications each year (not limited to Nature Index journals).
Technical terms
Harmonic distortion: The deviation of voltage or current waveforms from a pure sinusoid due to the presence of integer multiples of the fundamental frequency.
Linear time-periodic (LTP) system: A system whose parameters vary periodically in time, used to model converters under periodic switching and control.
Harmonic transfer function (HTF): A frequency-domain representation that relates injected currents to resulting voltage harmonics in a black-box converter model.
Resonance: Amplification of specific harmonic frequencies due to interaction between network impedance and converter filter elements, potentially causing instability.
Black-box identification: A measurement-based method for estimating system impedance or transfer functions without requiring detailed internal parameter knowledge.
References
- Stability Assessment of Power-Converter-Based AC systems by LTP Theory: Eigenvalue Analysis and Harmonic Impedance Estimation. IEEE Journal of Emerging and Selected Topics in Power Electronics (2017).
- Vector-Norm Based Truncation of Harmonic Transfer Functions in Black-Box Electronic Power Systems. IEEE Open Journal of the Industrial Electronics Society (2022).
- Vienna Rectifier Modeling and Harmonic Coupling Analysis Based on Harmonic State-Space. Electronics (2024).
- Harmonic Propagation Model for Analyses in Meshed Power Systems. IEEE Transactions on Power Delivery (2023).
- A Simulation Tool for Accurate and Fast Assessment of Harmonic Propagation in Modern Residential Grids. IEEE Transactions on Power Delivery (2020).
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