design of robust power system stabilizer based-on ...

14 downloads 0 Views 1MB Size Report
two times. The equal function is affine gi(x) and unequal function gj (x) is convex. The function that is .... (38). Assuming. N instead of Jacobean matrix N and.
      

             

  



 !





 "# $ % &   # $ 

 & '&"

   !



((() ) 

* ) 

 * ) 



+&,   

 - -,



DESIGN OF ROBUST POWER SYSTEM STABILIZER BASED-ON OPTIMAL CONTROL THEORY 

A. Zackery

M. Sabahi

A. Mahmoodi Motlagh

F.M. Shahir

E. Babaei

                       !"       #  #    #        Abstract-                                                        1234 *                           &             !        *                 !            !             

                124   154       

  "       #   $   %      %     

           164         

    

   

      , 174       "                                  

   &                   

                      !       134              "               

                    %        &            %               

      !                           8                                 '             9    )   9) ' :            ':  "    ;  ;,  ";;   +   "    +"           Keywords:        (  )                   14 & #   $   *%    + ,  -   1==4 &        :?@                               1=24     I. INTRODUCTION                  1=54  &              

                 ,                    1=64                   (     .          '  %                   %                       

            1=74                /            &   ,       

                            ;             !                      1=34     !            )     

  %           #                                             / ,   0     &                  -    ,         

               ,      ,                          

            A           )      ,                   #   $   %                                 +  

- 

                    !  " #"$#%& 

    

                                                            

                           !  II. POWER SYSTEM MODEL " #         

 # # #  )4*     # )   ( *+ + +  +   + + +    #+       III. OPTIMAL CONTROL THEORY          

              )  z  u*  )#(*    )  z  u*  )##* y  )   z *  )#+*           z           u    y           $                   )  * 

 "

! ) *  (  ! ) *  (





" #$       



%       &#' (    ) *   +   + )  ) *  *  #  )#* )  )  *   )  * *       ) *     ( 

            

       )+*    )    *     ) * 

 ) * 



  ) * 

),*

        

)-*

         

).*

  + + 

)/*

 +   ) *     ) *     





)0*

 + )1*   ) *     



   )*     )*      (       )*

   2

   !   3!    )*  !      

                 

         

  %       

                             ) * 

  # 



)#,*

   #

   #$  !          

     ! )*   % )*  !           % )*5(&'5&5&((6                             

))   *   ) *    %  % ) * 

)#-*

% #

  7" *+)*#8**        A. Optimal Control Theory in Detail     

  

   )  )  **  ) )     *  

)#.*

"       )    *  & )( *  &(     ) & )  **   ,  (    ,  " 

)#/* )#0*

(

9                 

      )  )  **  & )& )  *   '  )#1*   :))     *   ) , )     *   *; (

                  2     2        2 2

 



   2    2   2 & 0! 5 0!               .'() !    ,   #    2                          ,   4       .'() !    . +    !    ?  2   " 

 %

 

4                

!   ,    #

             "



   

  " 



      "    "     2 ? ,      # " 

   "              

 3

 5

     . +   !            -           =5>   ,            

    #  "   

+     &        &             

 ,

' 

                    !  " #"$#%& 

  . +    !          "             C   0!  3  5     !             ,      

                  #  6

"         "   "   "        "    "   "      (   ,  "                    $    #   "



         "







 8

           "      #            $2                             #   "

%

&     "





$

&   2   2   " 

$

&    "   "

$ 

'



&    2   "

'



!

" &   



"  $$ "$ #$

  %  "      " &    $  '( '$ "  2   !  # " ("2  ) $$  % (  &  & $% $

$')   &  & ? , D    ("D:)*    "  " (  &      &   )   &     &    "      $     "       E2 #  

 "   " "   $3  C     

  . +    !             IV. DESIGN OF OPTIMAL NONLINEAR STABILIZER 4                     '() !    &&7   !        # +    $5    )  )    *                             " :,  2 

C                   

           

5 

 





 

 6  







$ 



 %  

 2  



8      

     



 3  





)       #   35       % $5   33 2 K  0! 33          . +    !                  #        2  $6  22$  

2 83    8   225    26 %     8     226  



35

268    3$     35 

       # 2 . ) . $2 28% . * . 2$ 2 . /1 . %  36 1          

       ,          

1:2)    !  #  /     2 . . 4 &  * H  O&   ?  + J6?7 88  "  C /    H  &  &- P =3> 0 )  &"T'7 ? 7   ( 40.     /  O/  ?  1H / 7  C C  OC    )+ * )  . & ( L  O. +  = > 0J Q /" &   O"  H  &  ",     . -  ' &0  C7QO0 H "    K    - - 7  /   &-  7  H  4 '   H /  & P400H7QT (? T)  O/           ,      +     J & H & &-   /                   0       &  7 P 400 H

 

Suggest Documents