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Table 13 Buses connected with ZIB for all test systems

From: Allocation of synchronized phasor measurement units for power grid observability using advanced binary accelerated particle swarm optimization approach

Test systems

ZIB

Buses connected with ZIB

14-bus

7

4, 8, 9

30-bus

6

2, 4, 7, 8, 9, 10, 28

9

6, 11, 10

22

10, 21, 24

25

24, 26, 27

27

25, 26, 29

28

8, 6

39-bus

1

2, 39

2

1, 3, 25, 30

5

4, 6, 8

6

5, 7, 11, 31

9

8, 39

10

11, 13, 32

11

6, 10, 12

13

10, 12, 14

14

4, 13, 15

17

16, 18, 27

19

16, 20, 33

22

21, 23, 35

57-bus

4

3, 5, 6, 18

7

6, 8, 29

11

9, 13, 41, 43

21

20, 22

22

21, 23, 38

24

23, 25, 26

26

24, 27

34

32, 35

36

35, 37, 40

37

36, 38, 39

39

37, 57

40

36, 56

45

15, 44

46

14, 47

48

47, 49, 38

118-bus

5

4, 3, 6, 8, 11

9

8, 10

30

17, 8, 26, 38

37

35, 33, 34, 38, 39, 40

38

37, 30, 65

63

59, 64

64

63, 61, 65

68

65, 69, 81, 116

71

70, 72, 73

81

68, 80

246-bus

51

54

53

61

54

62, 49, 51, 52, 55

56

71, 44, 45, 46, 55, 25, 80

58

63

61

53, 154

62

54, 4, 71

63

58, 70

69

115, 10, 70, 154

70

232, 63, 69, 72, 154, 238

71

56, 3, 62, 72

72

84, 84, 84, 70, 71, 73

73

74, 3, 72

74

73, 86, 88, 104, 246

75

76, 91

80

44, 46, 56, 82, 12, 86

81

97, 101

86

74, 11, 80

102

64, 83

103

83, 85

104

74, 83

107

105, 106

122

112, 121

126

113, 120, 129

129

113, 118, 126, 127, 232

131

109, 10

147

134, 150, 153

154

140, 61, 69, 70, 155, 240

155

141, 154

167

163, 165, 166

175

157, 166, 177

179

160, 238

180

157, 23

183

133, 182, 194, 34

209

185, 212, 213

210

187, 221

211

190, 212, 217, 221, 40

212

191, 209, 211, 213

213

194, 209, 212, 214, 215, 235

214

199, 213, 221

215

27, 213, 33, 221, 239

216

204, 59, 217, 218

217

205, 211, 33, 216

221

222, 210, 211, 214, 215, 32

222

221, 190, 27

226

1, 201

229

233, 116, 17, 119, 121, 136, 35

230

238, 181, 160

231

239, 201, 27, 39

232

70, 118, 129

233

229, 234, 235, 238, 239

234

233, 237, 238, 239

236

97, 235

237

36, 234

238

230, 70, 179, 233, 234

239

231, 215, 233, 234, 40, 241

240

139, 154, 235

241

40, 239

243

42, 242, 245

244

42, 245

300-bus

4

16, 3

7

3, 12, 110, 5, 6

12

7, 20, 10, 251

16

4, 36, 15

18

3, 20, 72

23

20, 231, 22, 254

28

27, 36

29

60, 63, 64, 30

30

73, 29

33

36, 255

36

16, 28, 33, 35, 40

39

52, 62, 38, 40

40

36, 68, 39

52

39, 54

54

52, 56, 123, 53, 261

56

54, 55

57

190, 66, 180

62

39, 73, 240, 61

65

64, 66, 69

68

40, 173, 174, 73

70

71, 81

71

70, 72, 234, 83

72

18, 71, 78

73

30, 62, 68

82

79, 80, 83

94

101, 100

95

99, 103

96

97, 138

107

106, 109, 112

108

105, 109, 112

109

107, 108, 111, 130, 146, 147, 110, 129, 263

110

7, 109

111

105, 109, 149

112

107, 108, 116, 147, 148, 150

113

106, 114, 163

123

54, 122

129

3, 109

130

109, 149

137

105, 138, 139

139

137, 103

143

141, 142, 134

144

141, 145

145

144, 265

147

106, 109, 112

148

105, 112, 146

153

151, 152, 120

172

184, 187, 175

173

68, 198, 242

174

68, 198, 191

189

175, 177, 178, 179, 168

191

194, 174, 190

198

173, 174, 196, 216, 197

205

203, 210

216

198, 201, 210, 213, 220

219

169, 230

223

222, 225

245

97, 99

246

183, 175

266

31, 270, 271, 273

270

266, 292, 293, 294, 295, 296

271

266, 272, 268

272

271, 297, 298, 268

273

266, 267, 299

276

274, 278, 279

291

268, 269