November 2021
Intermediate
416 pages
12h 42m
English
book
Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods
by Ryan Kuo-Lung Lian, Ramadhani Kurniawan Subroto, Victor Andrean, Bing Hao Lin
Content preview from Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods
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6Frequency Coupling Matrices
“Pull one hair and the whole body moves”
– Zizhen Gong (1792–1841)
One of the most common equations used to model electrical elements in the frequency domain or harmonic domain is
(6.1)
where 
is the vector containing voltage harmonics at each node, 
is the vector of current harmonics, and 
is the harmonic admittance matrix. To employ the formulation of 6.1, the harmonic admittance matrix must be found.
For linear time‐invariant (LTI) components such as resistors 
, inductors 
, and capacitors 
, these admittance matrices are analytical and can be easily derived via phasor analysis. In addition, the structure of these admittance matrices is diagonal, which means that there is no interaction between harmonic voltages and currents of different orders.
In contrast, ...
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