Predictive Control of Three Phase AC/DC Converters

Figure B.4: Vector diagram of predicted currents in PCC dq
∆ILdqP0
B.2. PREDICTIVE CURRENT CONTROL IN ROTATING SYSTEM 129
I LqP = T (
s
L (U Lq − U P q ) + I Lq 1 − R )
L T s
(B.13)
Next, on the basis of (B.12) and (B.13) future currents I LdqP are calculated for
every voltage vector U P dq . Voltage vector, which minimizes cost function value
J, defined as:
√
J = (I dref − I LdP ) 2 + (I qref − I LqP ) 2 (B.14)
is being selected for next sampling period.
U P I LdP [A] I LqP [A] I Lderr [A] I Lqerr [A] J [A]
U P 1 1.58 3.41 0.41 -3.41 3.43
U P 2 1.06 1.48 0.93 -1.48 1.75
U P 3 2.48 0.06 -0.48 -0.06 0.48
U P 4 4.41 0.58 -2.41 -0.58 2.48
U P 5 4.93 2.51 -2.93 -2.51 3.86
U P 6 3.51 3.93 -1.51 -3.93 4.21
U P 0 2.99 1.99 -0.99 -1.99 2.23
Table B.3: An example operation of PCC dq
q
∆ILdqP1
∆ILdqP6∆ILdqP5
d
Table B.3 and Fig. B.4 show example operation of the PCC dq under conditions
listed in Tab. B.1. Note that for both control methods PCC αβ and PCC dq
the same voltage vector has been selected.
∆ILdqP2 ∆ILdqP3 ∆ILdqP4
ILdqIdqref