symbolic dynamic models for highly varying power system loads

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TABLE OF CONTENTS LIST OF TABLES . . . . . . . . ix Page LIST OF FIGURES . . . . . . . . xi NOMENCLATURE . . . . . . . . xii CHAPTER 1 INTRODUCTION 1.1 Motivation . . . . . . 1 1.2 Scope . . . . . . . 1 1.3 Power system load modeling . . . . 2 1.4 Literature search on power system load modeling . 3 1.5 Power conditioning . . . . . 7 1.6 Literature search on power conditioning . . 8 1.7 Symbolic Dynamics . . . . . 9 1.8 Literature search on Symbolic Dynamics . . 10 1.9 Markov chain model . . . . . 12 1.10 Literature search on Markov chain model . . 12 2 SYMBOLIC DYNAMICS 2.1 Introduction . . . . . . 14 2.2 Some definitions . . . . . 14 2.3 Coding a signal in Symbolic Dynamics . . 16 2.4 Dictionary formation . . . . . 17 2.5 Comparison of two signals . . . . 18
CHAPTER Page 2.6 Forecasting a signal . . . . . 19 2.7 Development of a model based on multiple symbol checking (Model 2) . . . . 21 3 SYNTHETIC TESTS AND RESULTS 3.1 Introduction . . . . . . 24 3.2 Nomenclature . . . . . . 24 3.3 Test condition . . . . . . 25 3.4 Analysis tools . . . . . . 25 3.5 Test results . . . . . . 29 4 TESTS ON INDUSTRIAL ARC FURNACE DATA 4.1 Introduction . . . . . . 39 4.2 Data transformation . . . . . 40 4.3 Test condition . . . . . . 41 4.4 Test results . . . . . . 42 4.5 Discussion . . . . . . 53 5 CONCLUSIONS AND FUTURE WORK 5.1 Conclusions . . . . . . 56 5.2 Recommendations . . . . . 58 REFERENCES . . . . . . . . 60 APPENDIX A MATLAB CODE FOR THE PROPOSED WORK A.1 Dictionary formation . . . . . 65 APPENDIX Page
Page 1 and 2: ARIZONA STATE UNIVERSITY POWER SYST
Page 3: include statistical tests, electric
Page 7 and 8: LIST OF TABLES Table Page 3.1 Test
Page 9 and 10: LIST OF FIGURES Figure Page 2.1 Rep
Page 11 and 12: G n H 0 H 1 IM IO I pred IREQ J KS
Page 13 and 14: 1 CHAPTER 1 1.1 Motivation INTRODUC
Page 15 and 16: 3 Static load model: Most of the lo
Page 17 and 18: 5 the voltage response of the load
Page 19 and 20: 7 In 1999-2000, Dinesh at Arizona S
Page 21 and 22: 9 increasing or decreasing the valu
Page 23 and 24: 11 initial conditions, which genera
Page 25 and 26: 13 equipment. It simply identifies
Page 27 and 28: 15 Fractional occurrence: Fractiona
Page 29 and 30: 17 consecutive symbols at a time, a
Page 31 and 32: 19 CSI = ∑( f χ i * fγi) /( f
Page 33 and 34: 21 To check the accuracy of the abo
Page 35 and 36: CHAPTER 3 SYNTHETIC TESTS AND RESUL
Page 37 and 38: 25 3.4 Analysis tools To analyze th
Page 39 and 40: 27 The KS method involves identifyi
Page 41 and 42: 29 3.5 Test results ST-A01: The aim
Page 43 and 44: 31 ST-B02: Here the Matlab inline f
Page 45 and 46: 33 Table 3.5 Results for tests in c
Page 47 and 48: 35 Table 3.6 Results for category D
Page 49 and 50: 37 Table 3.7 Results for category E
Page 51 and 52: 39 CHAPTER 4 TESTS ON INDUSTRIAL AR
Page 53 and 54: 41 2. Constant number of cells: The
Page 55 and 56:
43 Table 4.2 Test statistics for di
Page 57 and 58:
45 Table 4.5 Results for RT-D03 Ind
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47 was recorded with the same sampl
Page 61 and 62:
49 RT-E02: In this test maximum wor
Page 63 and 64:
51 RT-E04: To implement the propose
Page 65 and 66:
53 4.5 Discussion Load modeling: Fo
Page 67 and 68:
55 Table 4.11 Execution time compar
Page 69 and 70:
57 • Implementing a probabilistic
Page 71 and 72:
59 integration of physical informat
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61 [1] M. S. Chen, “Determining l
Page 75:
63 [18] R. B. Fancher, A. E. Hulse,
Page 79 and 80:
67 A.1 Dictionary Formation In this
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69 data sets and compares them by c
Page 83 and 84:
71 c=zeros(w,1); c(1:w)=x(s:s+w-1);
Page 85 and 86:
73 kount1(r1)=kount1(r1)+1; kount1(
Page 87 and 88:
75 y1=sin(x1*pi/12.5)+(1/3)*sin(3*x
Page 89 and 90:
77 if (r>=cwf(i))&(r
Page 91 and 92:
79 % A program to forecast a signal
Page 93 and 94:
81 f=f-1; end rr=rr+1; end r=r+1; e
Page 95 and 96:
83 for jj=1:f if(d(jj,2:nw)==0) min
Page 97 and 98:
85 A.5 Forecasting a signal using M
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87 end f=f+1; d(f,1:w)=(c(1:w))'; e
Page 101 and 102:
89 if(d(j,i+1)~=0) if(x(nx)==d(j,i)
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91 end end newwd; wdlen; mm=wdlen+1
Page 105:
93 APPENDIX B ILLUSTRATIVE EXAMPLE
Page 108 and 109:
96 Z can be defined as Z(i) = Z(i+1
Page 110 and 111:
98 For a given s, the table entry i
Page 112 and 113:
100
Page 114 and 115:
102 Phase B EAF current 6 4 CT Curr
Page 116:
104 Table C.1 Sample data sheet for
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symbolic dynamic models for highly varying power system loads

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