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Table 6 Operating points from Example 2, using SP2 and SP3

From: Speed-up hyperspheres homotopic path tracking algorithm for PWL circuits simulations

Starting point

SP2

SP3

Solution

\(S_6\)

\(S_7\)

\(S_8\)

\(S_9\)

\(S_{10}\)

\(S_{11}\)

Variable

      

 \(v_{1}\)

12

12

12

12

12

12

 \(v_{2}\)

−2.26995

−2.48607

−0.59643

−2.11441

−2.26995

2.47609

 \(v_{3}\)

−2.96478

−4.80186

−1.27205

−1.64274

−2.96478

−2.38462

 \(v_{4}\)

−4.96478

−6.80186

−3.27205

−3.64274

−4.96478

−4.38462

 \(v_{5}\)

−8.38692

−8.93395

−7.98903

−8.08633

8.38692

−8.21370

 \(v_{6}\)

1.61307

1.06604

2.01096

1.91366

1.61307

1.78629

 \(v_{7}\)

10.84530

10.84531

10.13282

10.84530

10.84530

8.58478

 \(v_{8}\)

2.18505

2.18505

2.07001

2.18505

2.18505

1.82007

 \(v_{9}\)

1.80832

1.80832

1.69623

1.80832

1.80832

1.45268

 \(v_{10}\)

1.27021

1.80832

1.63661

1.54063

1.27021

1.45260

 \(v_{11}\)

4.60679

−2.72137

10.20329

10.15968

4.60679

2.24190

 \(v_{12}\)

7.38990

10.84531

−0.75565

−0.07147

7.38990

8.58425

 \(v_{13}\)

1.62547

2.18505

−0.19032

−0.01800

1.62547

1.81998

 \(i_{V_{S1}}\)

−0.00685

−0.00787

−0.00725

−0.00729

−0.00685

−0.00652

 \(i_{V_{S2}}\)

−0.00034

−0.00021

−0.00047

−0.00044

−0.00034

−0.00038

 \(i_{V_{S3}}\)

0.00002

0.00007

0.00002

−0.00001

0.00002

0.00016

\(\hbox {Error}_{15}\)

3.7168E−11

5.4131E−9

4.8390E−12

4.4469E−5

1.6678E−9

2.5092E−6

\(\hbox {Error}_{7}\)

1.1229E−7

1.4545E−7

1.2585E−7

4.4469E−5

1.1240E−7

2.5007E−6