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A Dynamic Voltage Restorer based on Matrix Converter with Fuzzy ...

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POWER ENGINEERING AND ELECTRICAL ENGINEERING<br />

VOLUME: 10 | NUMBER: 3 | 2012 | SEPTEMBER<br />

6. Comparis<strong>on</strong> between Proposed<br />

and C<strong>on</strong>venti<strong>on</strong>al C<strong>on</strong>troller<br />

C<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller is used in many system<br />

c<strong>on</strong>trollers because of its simplicity. It is designed for a<br />

unique system operating point to compensate it in the<br />

best way. Therefore its main disadvantage is the inability<br />

to operate well under a wider range of operating<br />

c<strong>on</strong>diti<strong>on</strong>s such as different types of sags and swells <strong>with</strong><br />

different amplitude or phase shift. In the other word the<br />

proporti<strong>on</strong>al and integral gains of c<strong>on</strong>venti<strong>on</strong>al PI<br />

c<strong>on</strong>troller should be changed to obtain a proper resp<strong>on</strong>se<br />

from the system. However c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>trollers<br />

have fixed gains that cannot be c<strong>on</strong>trolled. To solve this<br />

problem, a fuzzy PI c<strong>on</strong>troller is proposed in this paper<br />

instead of c<strong>on</strong>venti<strong>on</strong>al <strong>on</strong>e. In this secti<strong>on</strong> the advantage<br />

of using this type of c<strong>on</strong>troller is discussed.<br />

At first, a c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller is used<br />

instead of the fuzzy PI c<strong>on</strong>troller which is shown in<br />

Fig. 10a). The gains of this c<strong>on</strong>troller are designed by<br />

trial-and-error such that the load voltage has the best<br />

waveform in the presence of 30 % balanced sag as shown<br />

in Fig. 15. In Fig. 16 and Fig. 17, the operati<strong>on</strong> of this<br />

c<strong>on</strong>troller and the proposed fuzzy PI c<strong>on</strong>troller are<br />

analyzed side by side in various disturbances. As it can be<br />

c<strong>on</strong>sidered, the fuzzy <strong>on</strong>e has better resp<strong>on</strong>se <strong>with</strong> less<br />

overshoot and also a better damping ratio. This behaviour<br />

is expected as the fuzzy c<strong>on</strong>troller changes the PI gains in<br />

each disturbance to have a better resp<strong>on</strong>se, but the<br />

c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller has fixed gains which create<br />

large overshoot in different operating c<strong>on</strong>diti<strong>on</strong>s.<br />

Fig. 16: Comparis<strong>on</strong> of c<strong>on</strong>venti<strong>on</strong>al and fuzzy PI c<strong>on</strong>troller -<br />

unbalanced sag/swell (Phase A: 40 % sag <strong>with</strong> 0 ˚ phase shift;<br />

phase B: 30 % swell <strong>with</strong> -30 ˚ phase shift; phase C: 50 %<br />

swell <strong>with</strong> +45 ˚ phase shift): (A) Source voltage, (B) Load<br />

voltage <strong>with</strong> c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller, (C) Load voltage <strong>with</strong><br />

fuzzy PI c<strong>on</strong>troller.<br />

Fig. 17: Comparis<strong>on</strong> of c<strong>on</strong>venti<strong>on</strong>al and fuzzy PI c<strong>on</strong>troller -<br />

unbalanced sag/swell (phase A: 30 % sag <strong>with</strong> +15 ˚ phase<br />

shift; phase B: 15 % sag <strong>with</strong> -40 ˚ phase shift; phase C: 25 %<br />

swell <strong>with</strong> +30 ˚ phase shift): (A) Source voltage, (B) Load<br />

voltage <strong>with</strong> c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller, (C) Load voltage <strong>with</strong><br />

fuzzy PI c<strong>on</strong>troller.<br />

7. C<strong>on</strong>clusi<strong>on</strong><br />

Fig. 15: Comparis<strong>on</strong> of c<strong>on</strong>venti<strong>on</strong>al and fuzzy PI c<strong>on</strong>troller: 30 %<br />

balanced sag: (A) Source voltage, (B) Load voltage <strong>with</strong><br />

c<strong>on</strong>venti<strong>on</strong>al PI c<strong>on</strong>troller, (C) Load voltage <strong>with</strong> fuzzy PI<br />

c<strong>on</strong>troller.<br />

A DVR topology <str<strong>on</strong>g>based</str<strong>on</strong>g> <strong>on</strong> matrix c<strong>on</strong>verter utilizing<br />

indirect space vector modulati<strong>on</strong> has been analyzed in<br />

this paper. The proposed DVR topology is able to<br />

compensate balanced sags/swells as well as unbalanced<br />

<strong>on</strong>es and harm<strong>on</strong>ic polluti<strong>on</strong> <strong>with</strong> acceptable THD for<br />

load voltage. The simulati<strong>on</strong> is d<strong>on</strong>e in<br />

MATLAB/Simulink software. The topology has some<br />

advantages such as fast resp<strong>on</strong>se to voltage disturbances<br />

and low cost. Furthermore there is no DC-link and bulky<br />

capacitor in the structure so DVR has a compact design;<br />

however the number of switches in this topology has<br />

increased in comparis<strong>on</strong> <strong>with</strong> c<strong>on</strong>venti<strong>on</strong>al DVR. The<br />

c<strong>on</strong>troller utilizes a fuzzy PI c<strong>on</strong>troller to make an<br />

appropriate resp<strong>on</strong>se during different disturbances <strong>with</strong><br />

less overshoot and a better damping ratio. That behavior<br />

is obtained because the fuzzy PI c<strong>on</strong>troller can change its<br />

PI gains according to disturbances.<br />

© 2012 ADVANCES IN ELECTRICAL AND ELECTRONIC ENGINEERING 150

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