A Modified Sequence-Domain Impedance Definition and Its Equivalence to the dq-Domain Impedance Definition for the Stability Analysis of AC Power Electronic Systems
By Atle Rygg, Marta Molinas, Chen Zhang, Xu Cai. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2016
392 citations recorded by the source corpus.
Representation of ac power systems by frequency-dependent impedance equivalents is an emerging technique in the dynamic analysis of power systems including power electronic converters. The technique has been applied for decades in dc-power systems, and it was recently adopted to map the impedances in ac systems. Most of the work on ac systems can be categorized into two approaches. One is the analysis of the system in the dq domain, whereas the other applies harmonic linearization in the phase domain through symmetric components. Impedance models based on analytical calculations, numerical simulation, and experimental studies have been previously developed and verified in both domains independently. The authors of previous studies discuss the advantages and disadvantages of each domain separately, but neither a rigorous comparison nor an attempt to bridge them has been conducted. This paper attempts to close this gap by deriving the mathematical formulation that shows the equivalence between the dq-domain and the sequence-domain impedances. A modified form of the sequence-domain impedance matrix is proposed, and with this definition the stability estimates obtained with the generalized Nyquist criterion become equivalent in both domains. The second contribution of this paper is the definition of a mirror frequency decoupled (MFD) system. The analysis of MFD systems is less complex than that of non-MFD systems because the positive and negative sequences are decoupled. This paper shows that if a system is incorrectly assumed to be MFD, this will lead to an erroneous or ambiguous estimation of the equivalent impedance.
Subfields: Control and Systems Engineering, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/2ecd79ea7a36afc6eed7a4becd41494b75a29999
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
In Electrical and Electronic Engineering
Citations in the corpus
- Sequence Domain SISO Equivalent Models of a Grid-Tied Voltage Source Converter System for Small-Signal Stability Analysis (2018, methodology): “This condition is true if either the converter or the grid impedance is dq asymmetric [16] or equivalently contains the mirror frequency coupling effect [17].”
- The Small-Signal Stability Analysis of the Droop-Controlled Converter in Electromagnetic Timescale (2019, background): “According to the definition of a mirror frequency decoupled (MFD) in [27], the PLL and active as well as reactive power controllers are not mirror frequency decoupled (NMFD)”
- Frequency Coupling Characteristic Modeling and Stability Analysis of Doubly Fed Induction Generator (2018, methodology): “Another advantage of the impedance based method is that even if it is not available to develop an analytical model, the impedance model can be obtained by experimentation or simulation [23]–[25].”
- AC Stability Analysis and dq Frame Impedance Specifications in Power-Electronics-Based Distributed Power Systems (2017, methodology): “The modified sequence impedance matrix is given in [28] as”