Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices

By Lennart Harnefors. IEEE transactions on industrial electronics (1982. Print), 2007

515 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/25dc46ad49b4f9d695b1e6309f23d6d344ca4e11

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

Harmonic Stability in Power Electronic-Based Power Systems: Concept, Modeling, and Analysis (2019, methodology): “By the help of complex space vectors and complex transfer functions [54], the dq-frame model can be represented by [11] [ ydq ydq ] = [ G+(s) G−(s) G∗−(s) G∗+(s) ][ udq udq ]”
Passivity-Based Stability Assessment of Grid-Connected VSCs—An Overview (2016, methodology): “The dq-frame correspondence is obtained simply by substituting s → s + jω1 [27] i = E − v (s + jω1)L , v = e −(s+ jω1)Td vref .”
Sequence Domain SISO Equivalent Models of a Grid-Tied Voltage Source Converter System for Small-Signal Stability Analysis (2018, methodology): “This interesting property of VSC was also identified from dq impedance and introduced as dq asymmetry in [16].”
Modeling and Control of VSC-HVDC Links Connected to Weak AC Systems (2010, methodology): “In [20], the space-vector theory is applied for modeling of three-phase dynamic systems using the transfer matrix concept.”
Input-Admittance Calculation and Shaping for Controlled Voltage-Source Converters (2007, methodology): “As shown in [13], complex space vectors—denoted with boldface letters—e.”
Impedance Modeling of Three-Phase Voltage Source Converters in DQ, Sequence, and Phasor Domains (2017, background): “Transformation of three-phase variables into a rotating dq reference frame is a popular technique for the modeling of ac machines and converters [18], [19].”
Analysis of Low-Frequency Oscillation in Electric Railways Based on Small-Signal Modeling of Vehicle-Grid System in dq Frame (2015, background): “Hedq can be obtained by the frequency mapping technique [33].”
Impedance-Based Analysis of DC-Link Voltage Dynamics in Voltage-Source Converters (2019, methodology): “where cos( ) sin( ) j e j       is the complex form of the Park transformation [31].”
Analysis of Subsynchronous Torsional Interaction With Power Electronic Converters (2007, background): “Real space vectors: are necessary for modeling -unsymmetric (unbalanced) systems [15], e.”
Revisiting Grid-Forming and Grid-Following Inverters: A Duality Theory (2021, methodology): “4(a) is a re-casting of the model in small-signal form (for which variables are designated with )̂ and in the complex vector dq frame (variables designated with dq±) [4], [16], [17] 3.”
Symmetrical PLL for SISO Impedance Modeling and Enhanced Stability in Weak Grids (2020, background): “However, only the symmetric MIMO system can be strictly represented by a SISO complex transfer function [12].”