Lecture 2 Load forecasting


Numerical Example: Load Forecasting for a Utility



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Lecture 2

Numerical Example: Load Forecasting for a Utility


Area

Year

2004

2019

2010

2011

2012

2013

2014

2015

2016

2017

2019

2021

X^3

X^2

X

R^2

2021

LF

A

MW

18

26

29

31

33

35

39

46

49

53

58

66

0.3

-4

32

99.6%

62%

LF

42%

46%

46%

48%

50%

52%

51%

52%

55%

56%

59%

62%

 

 

 

 

 

B

MW

58

96

117

127

134

161

190

232

271

312

386

454

1.7

-21

187

99.5%

57%

LF

52%

61%

62%

60%

61%

58%

59%

60%

59%

58%

57%

57%

 

 

 

 

 

C

MW

18

40

42

47

51

55

107

182

212

239

291

358

0.3

7.3

-25

99.0%

45%

LF

55%

44%

47%

47%

46%

49%

42%

41%

40%

43%

44%

45%

 

 

 

 

 

D

MW

228

293

302

357

394

429

470

518

575

623

704

793

2.5

-32

333

99.5%

68%

LF

53%

62%

66%

58%

59%

59%

61%

63%

65%

66%

68%

68%

 

 

 

 

 

E

MW

20

31

35

38

40

43

45

50

54

56

64

71

0.3

-5

45

98.7%

57%

LF

54%

58%

55%

55%

57%

57%

57%

58%

59%

59%

59%

57%

 

 

 

 

 

F

MW

15

25

28

31

33

35

37

43

47

50

57

68

0.3

-5

41

99.4%

63%

LF

56%

57%

57%

55%

58%

61%

62%

63%

63%

64%

64%

63%

 

 

 

 

 

G, H

MW

35

61

68

74

79

85

91

97

104

129

156

175

1

-17

128

99.1%

56%

LF

52%

59%

52%

57%

57%

59%

59%

60%

61%

56%

55%

56%

 

 

 

 

 

P1a

MW

53

56

68

68

69

71

73

74

77

78

82

85

0.4

-10

85

97.3%

73%

LF

57%

74%

67%

69%

69%

70%

70%

72%

73%

73%

73%

73%

 

 

 

 

 

P2

MW

50

70

70

70

70

70

70

90

100

120

140

170

1.1

-18

120

97.2%

44%

LF

21%

39%

43%

46%

46%

46%

46%

46%

46%

45%

44%

44%

 

 

 

 

 

P3

MW

3

28

28

32

36

40

43

47

51

55

55

55

y = 87.024ln(x) - 6.6143

43%

LF

0%

20%

39%

40%

40%

40%

40%

42%

43%

43%

43%

43%

 

 

 

 

 

P4

MW

0

0

0

0

0

0

0

10

20

30

50

50

0.1

25

-7

97.3%

32%

LF

 

 

 

 

 

 

 

27%

29%

30%

30%

32%

 

 

 

 

 

Region

MW

465

666

735

786

855

935

1064

1269

1426

1592

1868

2145

8.2

-109

991

99.4%

63%

LF

53%

62%

63%

63%

62%

63%

63%

63%

63%

63%

63%

63%

 

 

 

 

 

The aim is to predict the peak load, as well as, the energy demand of the

regional utility for 10 years from the current year; with a time step of 1 year.

Best fit model Load = a x^3 + b x^2 + c x + d (x = year)

Subarea Loads

Urban

Residential



Commercial

Public


Small industrial

Distribution losses

Rural

• Residential



• Agricultural

• Others (small industrial, public, etc.)

Large customers

(> 1 MW)


Rural loads
  • The residential part may be estimated based on the estimated number of homes and the estimated power consumption of each home.
  • The agricultural part is determined based on the estimated number of wells, their average depths and their average water flows.
  • The remaining part of the rural types of the loads should also be estimated., sometimes, a fixed percentage (say 25%) may be considered.

Total Demand Load Forecasting of a Large Scale Utility

  • Total Demand (TD) is the sum of: “TD = SD + LC + IET + FD + IL + SL + AD”
  • The Supplied Demand (SD),
  • Load Curtailment (LC), The loads interrupted based on load shedding scheme.
  • Import/Export Transactions (IET), availability to be confirmed for future model.
  • Frequency Drop term (FD), the system operator has intentionally dropped the frequency to compensate, somewhat, the generation deficiency
  • Interrupted Loads (IL), The loads interrupted based on some types of contracts.
  • System Losses (SL), that may be affected by network expansion activities, and
  • Auxiliary Demand (AD) of the power plants,

Using the prediction Model

  • Using a standard software and based on historical data, we need, initially, find out the driving parameters for the load. For instance, GDP, population, per capita demand and average electricity price may be four main driving parameters.
  • However, other parameters may also be tried and checked. If not considered, we have, implicitly, assumed that they are either non-driving parameters or there are some types of correlations between them and those already observed.
  • Various scenarios may be checked. For instance, one scenario may be considered as the load being dependent on GDP and population, only. Other combinations may be tried as new scenarios. Various fitting procedures and models may also be checked. These are, typically, available in commercial software.
  • New scenarios may be generated with weighted driving parameters. For instance, a driving parameter may also be given a higher weighting in comparison with another.
  • A scenario may also be generated by a combination of already generated scenarios, weighted based on their respective accuracies which are already checked.
  • We should use a procedure for checking the method accuracy. If the historical data is available for the last 15 years, we may use the results of the first 10 years for producing the model. Thereafter, its prediction behavior may be checked for the next 5 years, using actual data. Once done and approved, the best model may be used to forecast the loads of the coming years.

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