Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods

Symbols

⊗:

convolution operator

ΔF:

small‐signal frequency coupling matrix

^ζ(k):

the unknown variable at the k‐th iteration

_θw:

weights of the network W,

_θt:

weights of the network _ht,

_θd:

weights of the network _hd

Φ:

state transition of system matrix of A

Φ¯:

state transition of system matrix of A¯

Φ̂:

state transition of system matrix of Â

Φˇ:

state transition of system matrix of Aˇ

Φ˘:

state transition of system matrix of A˘

Ω:

input dynamics matrix

A:

system matrix

_Ar:

reduced system matrix

A¯:

system matrix with input dynamics augmented

Â:

system matrix with input and harmonic state dynamics augmented

Aˇ:

system matrix with input, control, and reference state dynamics augmented

A˘:

system matrix with input, control, reference, and harmonic state dynamics augmented

B:

input matrix

_Br:

reduced input matrix

C:

capacitor

_Cc(s):

transfer function of the current controller

_Ccon:

connection matrix

_Cv(s):

transfer function of the dc voltage controller

_Cx:

Clarke transformation matrix

D:

domain

D_S:

source domain

D_T:

target domain

𝔼:

statistical expectation

h:

hypothesis

h_t:

task hypothesis

h_d:

discrepancy hypothesis

i:

state variable for current

_itd:

d‐frame current

_itdref:

d‐frame current reference

_itq:

q‐frame current

_itqref:

q‐frame current reference

I:

identity matrix

_Ii:

i‐th current harmonic component

I:

vector of current harmonics

J:

Jacobian matrix

L:

inductor

_LD:

risk over D

ℒ_C:

cross‐entropy

ℒ_CCSA:

classification and contrastive semantic alignment loss

ℒ_S:

separation loss

ℒ_SA:

semantic alignment loss

_ma:

modulation ...