Christoph Haederli - Les thèses en ligne de l'INP - Institut National ...
Christoph Haederli - Les thèses en ligne de l'INP - Institut National ...
Christoph Haederli - Les thèses en ligne de l'INP - Institut National ...
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158 Application and Verification<br />
The hysteresis controller <strong>de</strong>picted in Figure 102 makes use of the controller states indicated in<br />
TABLE 66. Note that the boundaries indicated for the modulation <strong>de</strong>pth in TABLE 66 have be<strong>en</strong><br />
<strong>de</strong>termined heuristically. The formulas giv<strong>en</strong> are an approximation for a highly non-linear<br />
relationship. Fixed boundaries could be used instead, still providing good performance but not<br />
making full use of the physical capabilities of the converter.<br />
TABLE 66, MODULATORS FOR HYSTERESIS NP CONTROL IN THE ANPC 1<br />
Controller<br />
state<br />
cos(ϕ) < 0.15 cos(ϕ) > 0.15<br />
m > 0.26 +<br />
m < 0.5 m > 0.5<br />
m < 0.26 +<br />
abs(ϕ)<br />
abs(ϕ) AND m<br />
< cos(ϕ)<br />
m > cos(ϕ)<br />
(Note 1)<br />
State 3:<br />
all with low<br />
gain<br />
6 th harmonic<br />
injection<br />
6 th harmonic<br />
injection<br />
real time NP<br />
curr<strong>en</strong>t<br />
function<br />
real time NP<br />
curr<strong>en</strong>t function<br />
real time NP<br />
curr<strong>en</strong>t<br />
function<br />
State 2 and 4:<br />
all with high<br />
gain<br />
real time NP<br />
curr<strong>en</strong>t<br />
function<br />
6 th harmonic<br />
injection<br />
real time NP<br />
curr<strong>en</strong>t<br />
function<br />
real time NP<br />
curr<strong>en</strong>t function<br />
real time NP<br />
curr<strong>en</strong>t<br />
function<br />
State 1 and 5:<br />
virtual vector<br />
virtual vector<br />
virtual vector<br />
real time NP<br />
virtual vector<br />
with high gain<br />
sequ<strong>en</strong>ces<br />
sequ<strong>en</strong>ces<br />
sequ<strong>en</strong>ces<br />
curr<strong>en</strong>t function<br />
sequ<strong>en</strong>ces<br />
Note 1: This condition is not <strong>de</strong>termined analytically, but is just a random approximation of the relationship found<br />
by calculation of individual operating points as shown in TABLE 88 in app<strong>en</strong>dix 9.5.4<br />
There is a high <strong>de</strong>gree of freedom for the implem<strong>en</strong>tation of the hysteresis controller. Any of<br />
the preferred controller configurations according to TABLE 29 and Table 30 or the like can be<br />
applied in case of use of the real time NP curr<strong>en</strong>t function. To get best performance according to<br />
the chos<strong>en</strong> strategy, the control gain should be low in steady state (state 3). Alternatively, ev<strong>en</strong> a<br />
first tolerance band (state 3) could be <strong>de</strong>fined where no NP control is active at all. The control gain<br />
should be high in state 2 and 4, so that maximum NP control capacity (controllers in saturation,<br />
CM limited by feasible operating range) is obtained before reaching the threshold for the next<br />
control mo<strong>de</strong>.<br />
7.3.1 Interaction of the modulators<br />
All modulators <strong>de</strong>termine switching patterns for a half modulation period at a time. Half<br />
periods with rising CM voltage (falling carrier in carrier based schemes) and with falling CM voltage<br />
(rising carrier in carrier based systems) alternate. This concept is also kept for the virtual vectors, so<br />
that they seamlessly fit with the other modulation schemes. The type of modulator to be used can<br />
be <strong>de</strong>termined on a half switching period basis without problems. This results in very dynamic<br />
performance without sacrificing the output voltage waveform quality.