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Update sas_basics.md

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2022-08-02 15:56:00 -04:00
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@@ -5,7 +5,7 @@ Semi-analytical solutions (SAS) is a family of computational methods that uses c
### 2. What are the advantages of SAS? ### 2. What are the advantages of SAS?
In power system modeling and analysis, SAS has proven several features: In power system modeling and analysis, SAS has been proven to have the following features:
* **High numerical robustness.** Steady-state analysis usually requires solving nonlinear algebraic equations. Traditional tools usually use Newton-Raphson method or its variants, whose results can be highly dependent on the selection of starting point and they suffer from non-convergence problem. In contrast, SAS provides much better convergence thanks to the high-level analytical nature. * **High numerical robustness.** Steady-state analysis usually requires solving nonlinear algebraic equations. Traditional tools usually use Newton-Raphson method or its variants, whose results can be highly dependent on the selection of starting point and they suffer from non-convergence problem. In contrast, SAS provides much better convergence thanks to the high-level analytical nature.
@@ -53,4 +53,4 @@ The figure shows the percentage of correct results using different tools. It can
We also compared the computation speeds of PowerSAS.m and PSS/E. The figure below shows the average contingency analysis computation time of on the 458-bus system. The results show that SAS’s speed is comparable to and even faster than PSS/E’s. We also compared the computation speeds of PowerSAS.m and PSS/E. The figure below shows the average contingency analysis computation time of on the 458-bus system. The results show that SAS’s speed is comparable to and even faster than PSS/E’s.
![x](/img/comp_speed_458.png) ![x](/img/comp_speed_458.png)