Need help in analysing equations-Active Power FIlter
Hi All,
I have been recently placed on a new project related to Power Systems.I a
new in this field
and not getting a proper place to start with.So please give me you
advise.
The project is an Active Shunt Type Power Filter used to take ou
harmonics from the power line.
We have an existing product selling in the market,but with an ol
controller design, TI DSP(TMS320C40)<=====>Dual Ram<=====>TMS320F240(T
MCU).
So we have thought of migrating on a new controller platform.
The existing source code we have is in assembly,and the documentatio
written is not up to the mark(I mean the derivations..etc)
All that i can see in the docs are final equations with missin
explanation.Below is the section I am not able to understand,
mainly the equation (1),(2).....(5) their derivations.
---------------start here ------------------
Recursive real-time harmonics and reactive power detection algorith
routine flow chart shown in Figure 4-20.
F240 controlled by the A / D converter samples the input data to the for
of signed integers stored in the designated memory unit. C32 first convert
integer to floating-point number, and then executes the recursive real-tim
detection of harmonic and reactive power compensation algorith
instructions, the calculation is as described below
According to symmetrical component method, in three-phase three-wir
system, the instantaneous load current ia, ib, ic can be decomposed int
positive sequence component group and the negative sequence component
Group. To use the index, 1 positive sequence, 2 negative sequence,
harmonic frequency,I Indicated that peak current, ¢ first phase angle,
sampling frequency cycle points,n Counts for the sampling point
n=0,1,2,…N-1. So, after sampling the load current can be expressed as
ix(n) = ∑k=1to ∞ [I1k sin(2∏nk/N + *1k -2l∏/3) + I2
sin(2∏nk/N + *2k +2l∏/3)]
In which
l = 0,1,2 for x=a, x=b, x=c
Substituting in the following formula
ixypk(n) = {ixypk(n-1) – 2*[ ix(n-N)- ix(n)] * sin(2∏nk/N
2l∏/3)}/N
ixyqk(n) = {ixyqk(n-1) – 2*[ ix(n-N)- ix(n)] * cos(2∏nk/N
2l∏/3)}/N
-------------------------(1)
For the fundamental wave can be calculated
Matrix [A11(n) B11(n) , A21(n) B21(n)] = 1/3 matrix [iayp1(n)+ ibyp1(n)
icyp1(n) iayq1(n)+
ibyq1(n)+ icyq1(n) , 2iayp1(n)- ibyp1(n)-
icyp1(n) 2iayq1(n)- ibyq1(n)- icyq1(n)]
------------------(2)
B11 A11,Represent the fundamental positive-sequence reactive curren
components and fundamental positive-sequence active component of th
amplitude.
Suppose
ix11(n) = A11(n)* sin(2∏n/N + 2l∏/3) + B11(n)* cos(2∏n/N
2l∏/3) --------(3)
ix21(n) = A21(n)* sin(2∏n/N + 2l∏/3) + B21(n)* cos(2∏n/N
2l∏/3) --------(4)
ix1(n) =ixyp1(n)* sin(2∏n/N + 2l∏/3) + ixyq1(n)* cos(2∏n/N
2l∏/3) --------(5)
If only the active power filter to compensate harmonic and fundamenta
negative sequence, instead of reactive power compensation, then us
equation (3). Calculated to be fundamental positive sequence curren
signals ix11, Then the load current signal minus the ix11 command signa
can be obtained icx*(n ) = ix(n) - ix11.If the demand compensation afte
the network side of a symmetrical three-phase fundamental current, wit
power factor 1,with equation (3) makes A11 = 0, Which can be fundamenta
positive sequence of the active component ipx11, With the load curren
signal minus ipx11,will get the command signal icx*(n ) = ix(n) - ipx11
If the active power filter to compensate harmonics and not just reactiv
and negative sequence compensation,use equation (5), Calculated fundamenta
current signal ix1. Then the load current signal minus the ix1,will get th
command signal.
For the harmonic,don’t need to distinguish positive sequence component
negative sequence component. If the active power filter is used t
compensate for nominated sub-harmonic,then by using equation (1),with
ixyqk(n), ixypk(n) be calculated as
ixk(n) =ixyqk(n)* cos(2∏kn/N ) + ixypk(n)* sin(2∏kn/N )
And is a sub harmonic current signal.
------------- end here -----------------------------------
Thanks in advance
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