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Table 13 Comparison between the SHPT and the MSA path tracking methods

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

Example

1

2

2

Starting point

SP1

SP1

SP2

Characteristic

SHPT

MSA1

MSA2

SHPT

MSA1

MSA2

SHPT

MSA1

MSA2

Total iterations

360

360

360

2500

2500

2500

1400

1400

2

Hypersphere radius

0.001

0.001

0.001

0.05

0.05

0.05

0.05

0.05

0.05

Reversion phenomenon

No

No

No

No

No

No

No

No

Yes

Solutions found

3

3

3

4

4

4

2

2

0

Straight Line iterations

336

0

0

2443

0

0

1376

0

0

Hypersphere iterations (NRM)

24

360

360

57

2500

2500

24

1400

2

Total computing time (s)

4.30

22.33

22.27

10.71

92.44

92.36

7.05

56.08

*

Straight Line computing time

0.359

0

0

3.04

0

0

1.06

0

*

Hyperspheres computing time

3.94

22.33

22.27

7.67

92.44

92.36

5.99

56.08

*