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Operation and control           University of technology education HCMC
           power system                Faculty of electrical-electronics engineering
U n iv e r s it y o f t e c h n o lo g y e d u c a t io n
            Group No 9 H C M C   Chapter 9: INTRODUCTION TO ADVANCED TOPIC
 F a c u lt y o f e le c t r ic a l – e le c t r o n ic s
 1. FACTS
  Operation andncontrolr power system
                    e g in e e in g



 2. Steady state
                    Chapter 9   INTRODUCTION TO
                                ADVANCED TOPICS
 3. Load forecast




 4. Conclusion

                                                            Nguyễn Anh Toàn
                                                            Class: 10025250A
Operation and control                University of technology education HCMC
         power system                      Faculty of electrical-electronics engineering
          Group No 9                Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS
                         Objectives



2. Steady state   Recognize the different types of FACTS controler


                  Introduction the mathematical analysis for steady state operation

3. Load forecast
                  Explaint the various methods of load prediction



4. Conclusion
Operation and control           University of technology education HCMC
         power system                 Faculty of electrical-electronics engineering
          Group No 9            Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS
      Agenda


2. Steady state
      1                  FACTS ?


     2             Steady state operation
3. Load forecast



      3         Methods for load prediction
4. Conclusion
      4                 Conclusion
Operation and control                 University of technology education HCMC
         power system                       Faculty of electrical-electronics engineering
          Group No 9               Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS               What is a FACTS ?




2. Steady state
                                   Fexible AC Transmission System

                   Power in lines is controlled in         Up gradation of lines is easier.
                   any desired manner.
                   Line capacity is increased,             Reduced reactive power flow, thereby
3. Load forecast   practically upto thermal limits         permitting greater active power flow.
                   By raising transient stabilitv limit,   Reduced cost of energy received
                   system security is enhanced             due to enhanced line capacity.


4. Conclusion
Operation and control              University of technology education HCMC
         power system                    Faculty of electrical-electronics engineering
          Group No 9           Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS               Type of FACTS
                   E1 / δ1    P&Q          E2 / δ2
                          I
                                                            P = E1 ( E2 sin(δ )) / X
                                                             1
2. Steady state                X
                                         STATCOM
                   E1 / δ1         P&Q     E2 / δ2          P = E1 ( E2 sin(δ )) / X ref
                                                             1
                          I
                                                            X ref = X − Vinj / I
3. Load forecast
                               X
                                          SSSC
                   E1 / δ1         P&Q     E2 / δ2          P = E1 ( E2 sin(δ )) / X ref
                                                             1
                          I
4. Conclusion                                               X ref = X − Vinj / I
                               X
                                          UPFC              Q1 = E1 ( E2 cos(δ )) / X
Operation and control                                           University of technology education HCMC
         power system                                                 Faculty of electrical-electronics engineering
          Group No 9                                     Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                       Power Quality

                             Sinusoidal                                                       Sag
                   1                                                       1

                   0                                                       0
2. Steady state
                   -1                                                      -1

                        0   0.02   0.04   0.06    0.08   0.1   0.12             0   0.02   0.04   0.06   0.08   0.1   0.12




                                     Swell                                                 Transient
                   2
                                                                           2


3. Load forecast   0                                                       0


                   -2                                                      -2
                        0   0.02   0.04   0.06    0.08   0.1   0.12             0   0.02   0.04   0.06   0.08   0.1   0.12



                                     Flicker                                               Harmonic
                   1                                                       1

4. Conclusion      0                                                       0

                   -1                                                      -1

                        0    0.1      0.2        0.3     0.4    0.5             0   0.02   0.04   0.06   0.08   0.1   0.12

                                   Time [sec]                                              Time [sec]
Operation and control          University of technology education HCMC
         power system                Faculty of electrical-electronics engineering
          Group No 9            Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                      P,Q,U, phase angles                           Variables

                                  Z=h(X)+n
                                                                        1       2       3
2. Steady state




3. Load forecast




4. Conclusion
Operation and control                 University of technology education HCMC
         power system                       Faculty of electrical-electronics engineering
          Group No 9            Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS             Load prediction
                              It’s depend            Peak load
                                                     demand ?

2. Steady state




3. Load forecast


                                Ltotal = Lbase + Lweather + Lother factors
                                  1     Multiple Regression Methods
4. Conclusion
                                   2    Spectral Expansion Method
                                   3    Scaling a Standar Load
Operation and control                              University of technology education HCMC
         power system                                    Faculty of electrical-electronics engineering
          Group No 9                            Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                    Multiple Regression
                                    Y = a + b1T + b2W + b3 L + b4 P + F (t ) + d

                     Linear Regression Techniques                           Nonlinear Regression Method
2. Steady state                     Y = a0 + a1 X                      S = f1 (T ) + f 2 (W ) + f3 ( L) + f 4 ( P) + F (t ) + d
                                          n                    n
                   Y1 = a0 + a1 X 1     ∑Y
                                         i =1
                                                1   = na0 + a1 ∑ X 1
                                                              i =1      f1 (T ), f 2 (W ), f3 ( L), f 4 ( P )
                                              y1 = Y1 − Y
                   Y 1 = a0 + a1 X
                                              x1 = Y1 − X
3. Load forecast                                                       F (t ) + d = x − f1 (T ) − f 2 (W ) − f 3 ( L) − f 4 ( P)
                   y1 = a1 x1                   d = y1 − a1 x1
                                                                       Plotting a graph of the above relations
                    D = ∑ d12 = ∑ ( y1 − a1 x1 ) 2
                         i =1                                          Grouping these estimates according to
                     dD                                                the day of the week
                         = 0 = −2∑ x1 ( y1 − a1 x1 )
4. Conclusion        da1                                               F(t) is known, giving the basic demand
                                                                       curve.
                    a=
                         ∑x y                   XX A = XY
                         ∑x     2
Operation and control                                University of technology education HCMC
         power system                                      Faculty of electrical-electronics engineering
          Group No 9                   Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                Spectral Expansion Method


                   - Past load data                              Predicting a non-stationary process
                   - Repeat every 24 hours                       given by an ensemble of sample
2. Steady state    - Ensemble of time                            functions.
                   series
                   Pmn = Amn + f1 (Tm ) Bm + f 2 ( Lm )Cm + f3 (Wm ) Dm + .....

3. Load forecast
                   Pmm (t ) = Pw (t ) + Pd (t ) + pmn (t )
                                           nd
                                      1
                            Pw (t ) =
                                      nd
                                           ∑P
                                           n =1
                                                    mn   (t )

                                     1 nw
                            Pd (t ) = ∑ Pmn (t ) − Pw (t )
4. Conclusion                        nw n =1
                                       K            1
                            pmn (t ) = ∑ a b f k (t ) + e(t )
                                                  k k
                                                     2

                                       k =1
Operation and control                      University of technology education HCMC
         power system                            Faculty of electrical-electronics engineering
          Group No 9                  Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                  Scaling a Standar Load


                   - Using standar load curve

2. Steady state    - The predicted load can be obtained by multiplying the predicted ratio

                   r   (n+k) by the corresponding value of the load on the standard load curve.


3. Load forecast


                                   1− x      3                    Four quater hourly periods
                    r( n + k )   =
                                   1 − x4
                                            ∑r
                                            m=0
                                                    n−m   x   n
                                                                  x: varies between zero and unity
4. Conclusion
Operation and control               University of technology education HCMC
         power system                     Faculty of electrical-electronics engineering
          Group No 9               Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                  Loss of load probability

                                n  i
                     p ( xi ) =   q (1 − q ) n −1
                                                                  n       n!
                                i                                =
2. Steady state                                                   r  ( n −r )!r!
                    Problen:

                      A
3. Load forecast                                3 GENERATOR
                                                Each 50MW
                      B
                                                Probability of failure 0.01
4. Conclusion
                      C                         Failure independently

                   Find probability distribution of generator capacity ?
Operation and control                University of technology education HCMC
         power system                      Faculty of electrical-electronics engineering
          Group No 9              Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS              Generating probabity distribution




2. Steady state
                        CAPACITY(MW)                       PROBABILITY
                                  0                            0.000001
                                  50                           0.000297
                                 100                           0.029403
3. Load forecast                 150                           0.970299


                              n  i
                   p ( xi ) =   q (1 − q ) n −1                   n      n!
                              i                                      =
                                                                    r  ( n − )!r!
                                                                              r
4. Conclusion
Operation and control              University of technology education HCMC
         power system                    Faculty of electrical-electronics engineering
          Group No 9              Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS                Conclution




2. Steady state     The flexibility and adaptability of these new techniques indicate
                   that they will become part of the tools for solving power quality
                   problems in this increasingly complex electrical environment.

3. Load forecast

                    The implementation and use of these advanced techniques
                   needs to be done with much care and sensitivity.        They should

4. Conclusion      not replace the engineering understanding of the electromagnetic
                   nature of the problems that need to be solved
Operation and control        University of technology education HCMC
         power system              Faculty of electrical-electronics engineering
          Group No 9          Chapter 9: INTRODUCTION TO ADVANCED TOPIC

1. FACTS




2. Steady state




3. Load forecast

                                                    NHÓM 9
                                  Nguyễn Anh Toàn-1002525028
4. Conclusion                     Lê Minh Tùng-1002525033
                                  Huỳnh Ngọc Nhẫn-1002525017

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  • 1. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering U n iv e r s it y o f t e c h n o lo g y e d u c a t io n Group No 9 H C M C Chapter 9: INTRODUCTION TO ADVANCED TOPIC F a c u lt y o f e le c t r ic a l – e le c t r o n ic s 1. FACTS Operation andncontrolr power system e g in e e in g 2. Steady state Chapter 9 INTRODUCTION TO ADVANCED TOPICS 3. Load forecast 4. Conclusion Nguyễn Anh Toàn Class: 10025250A
  • 2. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Objectives 2. Steady state Recognize the different types of FACTS controler Introduction the mathematical analysis for steady state operation 3. Load forecast Explaint the various methods of load prediction 4. Conclusion
  • 3. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Agenda 2. Steady state 1 FACTS ? 2 Steady state operation 3. Load forecast 3 Methods for load prediction 4. Conclusion 4 Conclusion
  • 4. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS What is a FACTS ? 2. Steady state Fexible AC Transmission System Power in lines is controlled in Up gradation of lines is easier. any desired manner. Line capacity is increased, Reduced reactive power flow, thereby 3. Load forecast practically upto thermal limits permitting greater active power flow. By raising transient stabilitv limit, Reduced cost of energy received system security is enhanced due to enhanced line capacity. 4. Conclusion
  • 5. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Type of FACTS E1 / δ1 P&Q E2 / δ2 I P = E1 ( E2 sin(δ )) / X 1 2. Steady state X STATCOM E1 / δ1 P&Q E2 / δ2 P = E1 ( E2 sin(δ )) / X ref 1 I X ref = X − Vinj / I 3. Load forecast X SSSC E1 / δ1 P&Q E2 / δ2 P = E1 ( E2 sin(δ )) / X ref 1 I 4. Conclusion X ref = X − Vinj / I X UPFC Q1 = E1 ( E2 cos(δ )) / X
  • 6. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Power Quality Sinusoidal Sag 1 1 0 0 2. Steady state -1 -1 0 0.02 0.04 0.06 0.08 0.1 0.12 0 0.02 0.04 0.06 0.08 0.1 0.12 Swell Transient 2 2 3. Load forecast 0 0 -2 -2 0 0.02 0.04 0.06 0.08 0.1 0.12 0 0.02 0.04 0.06 0.08 0.1 0.12 Flicker Harmonic 1 1 4. Conclusion 0 0 -1 -1 0 0.1 0.2 0.3 0.4 0.5 0 0.02 0.04 0.06 0.08 0.1 0.12 Time [sec] Time [sec]
  • 7. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS P,Q,U, phase angles Variables Z=h(X)+n 1 2 3 2. Steady state 3. Load forecast 4. Conclusion
  • 8. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Load prediction It’s depend Peak load demand ? 2. Steady state 3. Load forecast Ltotal = Lbase + Lweather + Lother factors 1 Multiple Regression Methods 4. Conclusion 2 Spectral Expansion Method 3 Scaling a Standar Load
  • 9. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Multiple Regression Y = a + b1T + b2W + b3 L + b4 P + F (t ) + d Linear Regression Techniques Nonlinear Regression Method 2. Steady state Y = a0 + a1 X S = f1 (T ) + f 2 (W ) + f3 ( L) + f 4 ( P) + F (t ) + d n n Y1 = a0 + a1 X 1 ∑Y i =1 1 = na0 + a1 ∑ X 1 i =1 f1 (T ), f 2 (W ), f3 ( L), f 4 ( P ) y1 = Y1 − Y Y 1 = a0 + a1 X x1 = Y1 − X 3. Load forecast F (t ) + d = x − f1 (T ) − f 2 (W ) − f 3 ( L) − f 4 ( P) y1 = a1 x1 d = y1 − a1 x1 Plotting a graph of the above relations D = ∑ d12 = ∑ ( y1 − a1 x1 ) 2 i =1 Grouping these estimates according to dD the day of the week = 0 = −2∑ x1 ( y1 − a1 x1 ) 4. Conclusion da1 F(t) is known, giving the basic demand curve. a= ∑x y XX A = XY ∑x 2
  • 10. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Spectral Expansion Method - Past load data Predicting a non-stationary process - Repeat every 24 hours given by an ensemble of sample 2. Steady state - Ensemble of time functions. series Pmn = Amn + f1 (Tm ) Bm + f 2 ( Lm )Cm + f3 (Wm ) Dm + ..... 3. Load forecast Pmm (t ) = Pw (t ) + Pd (t ) + pmn (t ) nd 1 Pw (t ) = nd ∑P n =1 mn (t ) 1 nw Pd (t ) = ∑ Pmn (t ) − Pw (t ) 4. Conclusion nw n =1 K 1 pmn (t ) = ∑ a b f k (t ) + e(t ) k k 2 k =1
  • 11. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Scaling a Standar Load - Using standar load curve 2. Steady state - The predicted load can be obtained by multiplying the predicted ratio r (n+k) by the corresponding value of the load on the standard load curve. 3. Load forecast 1− x 3 Four quater hourly periods r( n + k ) = 1 − x4 ∑r m=0 n−m x n x: varies between zero and unity 4. Conclusion
  • 12. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Loss of load probability n  i p ( xi ) =   q (1 − q ) n −1 n  n! i   = 2. Steady state r  ( n −r )!r! Problen: A 3. Load forecast  3 GENERATOR  Each 50MW B  Probability of failure 0.01 4. Conclusion C  Failure independently Find probability distribution of generator capacity ?
  • 13. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Generating probabity distribution 2. Steady state CAPACITY(MW) PROBABILITY 0 0.000001 50 0.000297 100 0.029403 3. Load forecast 150 0.970299 n  i p ( xi ) =   q (1 − q ) n −1 n  n! i    = r  ( n − )!r! r 4. Conclusion
  • 14. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS Conclution 2. Steady state  The flexibility and adaptability of these new techniques indicate that they will become part of the tools for solving power quality problems in this increasingly complex electrical environment. 3. Load forecast  The implementation and use of these advanced techniques needs to be done with much care and sensitivity. They should 4. Conclusion not replace the engineering understanding of the electromagnetic nature of the problems that need to be solved
  • 15. Operation and control University of technology education HCMC power system Faculty of electrical-electronics engineering Group No 9 Chapter 9: INTRODUCTION TO ADVANCED TOPIC 1. FACTS 2. Steady state 3. Load forecast NHÓM 9 Nguyễn Anh Toàn-1002525028 4. Conclusion Lê Minh Tùng-1002525033 Huỳnh Ngọc Nhẫn-1002525017

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