Table 5 The optimal setting for the ORPD solution process by the WAA and the MWAA.

From: A modified weighted average algorithm for optimal reactive power dispatch considering uncertain load and renewable power

Control variables

Min.

Max.

\(\:{\mathbf{P}}_{\mathbf{L}\mathbf{o}\mathbf{s}\mathbf{s}}\) minimization

\(\:\mathbf{V}\mathbf{D}\) minimization

MWAA

WAA

MWAA

WAA

V 1\(\:(p.u.)\)

0.90

1 0.1

1.1000

1.1000

1.0182

1.0277

V 2 \(\:(p.u.)\)

0.90

1 0.1

1.1000

1.1000

1.0151

1.0274

V 5 \(\:(p.u.)\)

0.90

1 0.1

1.0982

1.1000

1.0741

1.0269

V 8 \(\:(p.u.)\)

0.90

1 0.1

1.0840

1.0402

0.9841

1.0264

V 11 \(\:(p.u.)\)

0.90

1 0.1

1.0975

1.0997

1.0555

1.0280

V 13 \(\:(p.u.)\)

0.90

1 0.1

1.0999

1.1000

1.0123

1.0265

T11

0.90

1 0.1

0.9900

1.0800

1.0100

1.0300

T12

0.90

1 0.1

0.9600

1.0500

0.9600

1.0300

T15

0.90

1 0.1

1.0000

1.1000

0.9800

1.0300

T36

0.90

1 0.1

0.9700

1.0100

0.9700

1.0300

Q10 \(\:\left(MVar\right)\)

0

5

3.7500

0

3.0000

4.4000

Q12 \(\:\left(MVar\right)\)

0

5

2.7300

3.0000

3.3400

4.3900

Q15 \(\:\left(MVar\right)\)

0

5

1.1000

0

4.0200

4.3900

Q17 \(\:\left(MVar\right)\)

0

5

3.5500

4.6500

3.1900

4.3700

Q20 \(\:\left(MVar\right)\)

0

5

5.0000

5.0000

4.6900

4.4000

Q21 \(\:\left(MVar\right)\)

0

5

5.0000

4.4000

3.5500

4.3700

Q23 \(\:\left(MVar\right)\)

0

5

4.9900

0.7900

4.2300

4.4100

Q24 \(\:\left(MVar\right)\)

0

5

4.9900

4.3600

3.5900

4.4200

Q29 \(\:\left(MVar\right)\)

0

5

2.1100

3.4500

4.1800

4.4200

\(\:{\text{P}}_{\text{L}\text{o}\text{s}\text{s}\:}\left(\text{M}\text{W}\right)\)

  

4.5845

4.8170

5.6524

5.4981

\(\:\text{V}\text{D}\:(\text{p}.\text{u}.)\)

  

1.9890

0.7670

0.1240

0.3701

\(\:{L}_{\text{m}\text{a}\text{x}\:}(\text{p}.\text{u}.)\)

  

0.1159

0.1286

0.1360

0.1398