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					       Vienna 21-24 May 2007



     HYBRID SYSTEM TO IMPROVEMENT OF
       THE POWER SUPPLY CONTINUITY
                 INDEXES




                                                  V. A. Barrera-Núñez
                                                Gilberto Carrillo-Caicedo
                                                    G. Ordoñez-Plata

GISEL – Colombia - RIF Session 3 - Paper 0828
        Vienna 21-24 May 2007




                     Posing the problem
                                CREG - SSPD
                                    NTI
             DES C   t (i )  12
                                    i 1

              FES C  NTI  18
                                Service quality indicator
CREG – Colombian Energy and Gas Regulatory Commission
SSPD – Colombian public services´ superintendence
 GISEL – Colombia - RIF Session 3 - Paper 0828              2
       Vienna 21-24 May 2007




                          Posing the problem
              60

                                                                               51
              50

                                        41
              40                                                37
                                                                                                        35
                         33                                                         33
                                                                                                   31
                                                                                                                          29             2001
             % 30                                                                        27
                                                                          25                                         25                  2002
                    24                       23                                                                                23
                                                  21
                              19                           19        19
              20                   18                                                         17                                    18
                                                                                                             16 17



              10

                                                       2

               0
                    T1        T2        T3        T1       T2        T3        T1        T2        T3        T1      T2        T3

                    Más de 200 Cqtos               100 - 200 Cqtos                  20 - 99 Cqtos            Menos de 20 Cqtos


    Percentage of circuit exceeding DES index during 2001 - 2002

GISEL – Colombia - RIF Session 3 - Paper 0828                                                                                                   3
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          Fault location methodology




GISEL – Colombia - RIF Session 3 - Paper 0828
       Vienna 21-24 May 2007




     Description of the methodology
                                         v(t)
                                         i(t)
                    ~




                                                Protection and measurement
                                                equipment

GISEL – Colombia - RIF Session 3 - Paper 0828                      5
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     Description of the methodology




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     Description of the methodology
                                  1.1




                                   1




                                  0.9                        Single
                                                             phase
                                                            duration
                                  0.8
                  Vrms(t) [p.u]




                                                        Single phase
                                          Slope          magnitude                  Slope
                                  0.7       of                                        of
                                           fall                                   recovery
                                  0.6




                                  0.5

                                                             Duration of
                                                            minimum state
                                  0.4
                                     20   30      40   50          60        70   80    90   100

                                                               Tiempo [ms]

                       General Descriptors for the classification process

GISEL – Colombia - RIF Session 3 - Paper 0828                                                      7
       Vienna 21-24 May 2007




       Methods based on knowledge

               •Support Vectorial Machine – SVM
                     •Finite Mixture – FM
             •Learning Algorithm Multivarable Data
                      Analysis - LAMDA


GISEL – Colombia - RIF Session 3 - Paper 0828
        Vienna 21-24 May 2007




                                       SVM



“Maximization
of the margin”

                                                 Data type A
                                                 Data type B



 GISEL – Colombia - RIF Session 3 - Paper 0828        9
       Vienna 21-24 May 2007




                           Finite Mixture
                                                 g1 p1     G
                                 g2 p2

                                                         g3 p3
                                          g4 p4


                                     gC pC


                                                                                            Estimacion de la funcion de probabilidad (Mezcla Finita de 3 terminos)
                                                                                0.35




                                                                                 0.3



                                             c
                          f MF  x    pi g  x ; i 
                                                                                0.25




                                                                                 0.2




                                                                 Probabilidad
                                                                                0.15




                                           i 1
                                                                                 0.1




                                                                                0.05




                                                                                  0
                                                                                       -6           -4              -2               0                  2            4
                                                                                                                  Dominio de las muestras




GISEL – Colombia - RIF Session 3 - Paper 0828                                                                                                     10
       Vienna 21-24 May 2007



                    LAMDA technique              X1:C1


                                                 X2:C1      L             MADMarginal Adequacy
                                                                              Degree


                          X1                     Xn:C1                    GAD  Global Adequacy
                                                                                Degree

                                                X1:C2

                X         X2                     X2:C2      L             MAX
                                                                                Assigned
               Objeto                                                            Class
                                                 Xn:C2




                          Xn                     X1:Cn


                                                 X2:Cn      L
                                                 Xn:Cn

                            Descriptors
                Object                          Classes   MAD’s   GAD’s
                            of the object

GISEL – Colombia - RIF Session 3 - Paper 0828                                                     11
       Vienna 21-24 May 2007




                          Hybrid System

                             Developed tests
                                SVM - Ratan Das
                                 FM – Ratan Das
                               LAMDA – Ratan Das


GISEL – Colombia - RIF Session 3 - Paper 0828
       Vienna 21-24 May 2007




                     Distribution circuit
                      1        2            4    5    6         7       8
           G   A         A   ABC
                                                                             M
                                            B    B     C
                                   3
                                                 13    9

                    17                 15                       10      11

                       16                   14             12


                             Carga monofásica         Carga trifásica



                     Distribution circuit used in the tests



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       Vienna 21-24 May 2007




                              SVM – Ratan Das
                                     100%

                                     90%

                                     80%

                                     70%

                                     60%
                        Porcentaje




                                     50%

                                     40%

                                     30%

                                     20%

                                     10%

                                      0%
                                            Monofasica   Bifasica   Bifasica a Tierra   Trifásica

                 %Multiple Estimación         2,7%        0,0%            0,6%           2,1%
                 %errores                     11,8%       8,6%           10,8%           9,2%
                 %aciertos                    85,1%       91,4%          88,6%           87,9%



             Accuracy of hybrid system in the fault location

GISEL – Colombia - RIF Session 3 - Paper 0828                                                       14
       Vienna 21-24 May 2007




                      SVM – Ratan Das




            Comparison between Ratan Das Algorithm and
                 SVM – Ratan Das hybrid system




GISEL – Colombia - RIF Session 3 - Paper 0828            15
       Vienna 21-24 May 2007




          Finite Mixture – Ratan Das




       Results distributed by cases to FM-RDas hybrid system
GISEL – Colombia - RIF Session 3 - Paper 0828                  16
       Vienna 21-24 May 2007




   LAMDA Technique – Ratan Das
                                        100


                                        90


                                        80


                                        70
               Cantidad de fallas [%]




                                        60
                                              50%
                                        50
                                                    44%
                                        40


                                        30


                                        20


                                        10
                                                                            5%       1%
                                         0
                                               1     2                           3   4
                                                    Identificador tipo de solucion


   Results distributed by cases to LAMDA-RDas hybrid system
GISEL – Colombia - RIF Session 3 - Paper 0828                                             17
       Vienna 21-24 May 2007




                 Comparison of results




                     Comparison of the hybrid systems
                     based on SVM, FM and LAMDA



GISEL – Colombia - RIF Session 3 - Paper 0828           18
       Vienna 21-24 May 2007




                               Conclusions
   • Selection of descriptors
   • Training by real and simulated data
   • Model based and AI classification
                        Hybrid


GISEL – Colombia - RIF Session 3 - Paper 0828   19
       Vienna 21-24 May 2007




                        www.uis.edu.co
                       Bucaramanga, Colombia

Autores:           Gilberto Carrillo Caicedo, gilberto@uis.edu.co
                   Victor Barrera Nuñez, vicbarreras@hotmail.com
                   Gabriel Ordoñez Plata, gaby@uis.edu.co




GISEL – Colombia - RIF Session 3 - Paper 0828
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