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Table 1 Bus voltage angle- and magnitude-based sensitivity analysis for WIS

From: Sensitivity analysis-based performance and economic operation of wind-integrated system with FACTS devices for optimum load dispatch

No.

Bus no.

Tangent vector for voltage angle

Voltage angle sensitivity \(\frac{{\partial \delta_{i} }}{{{\text{d}}\lambda }}\)

Tangent vector for voltage magnitude (\(V_{i}\))

Voltage mag. sensitivity \(\frac{{\partial V_{i} }}{{{\text{d}}\lambda }}\)

1

3

0.17206

1.0000

1.0000

1.0000

2

1

0.17119

0.9952

−0.9981

−0.9981

3

8

0.16209

0.9712

−0.9669

−0.9669

4

6

0.16113

0.9253

−0.9571

−0.9571

5

11

0.15792

0.8825

−0.9333

−0.9333

6

2

0.15348

0.8695

−0.8997

−0.8997

7

4

0.15111

0.8313

−0.8649

−0.8649

8

5

0.14881

0.7976

−0.8412

−0.8412

9

14

0.14628

0.7761

−0.8111

−0.8111

10

9

0.13667

0.7123

−0.7939

−0.7939

11

10

0.13419

0.6912

−0.7775

−0.7775

12

7

0.13291

0.6777

−0.7558

−0.7558

13

12

0.12825

0.6485

−0.7113

−0.7113

14

13

0.12344

0.6117

−0.6999

−0.6999