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 | Â | Â | Â | Â | Â | Â |
 \(v_{1}\) | 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 |