To speed up the algorithm of Gauss-Seidel load flow, an accelerating factor ((alpha)) is usually used. Which
Question:
To speed up the algorithm of Gauss-Seidel load flow, an accelerating factor \((\alpha)\) is usually used. Which one of the following relations presents that?
1) \(\mathbf{V}_{\mathbf{i}, \mathbf{A c c}}^{(\mathbf{k}+\mathbf{1})}=\mathbf{V}_{\mathbf{i}}^{(\mathbf{k})}+\alpha \Delta \mathbf{V}_{\mathbf{i}}^{(\mathbf{k}+\mathbf{1})}\)
2) \(\mathbf{V}_{\mathbf{i}, \mathbf{A c c}}^{(\mathbf{k}+\mathbf{1})}=\alpha \mathbf{V}_{\mathbf{i}}^{(\mathbf{k})}+\Delta \mathbf{V}_{\mathbf{i}}^{(\mathbf{k}+\mathbf{1})}\)
3) \(\mathbf{V}_{\mathbf{i}, \mathbf{A c c}}^{(\mathbf{k}+\mathbf{1})}=\alpha\left(\mathbf{V}_{\mathbf{i}}^{(\mathbf{k}+\mathbf{1})}-\mathbf{V}_{\mathbf{i}}^{(\mathbf{k})}ight)\)
4) \(\mathbf{V}_{\mathbf{i}, \mathbf{A c c}}^{(\mathbf{k}+\mathbf{1})}=\mathbf{V}_{\mathbf{i}}^{(\mathbf{k}+\mathbf{1})}+\alpha \Delta \mathbf{V}_{\mathbf{i}}^{(\mathbf{k})}\)
Step by Step Answer:
Power System Analysis Practice Problems, Methods, And Solutions
ISBN: 246726
2022 Edition
Authors: Mehdi Rahmani-Andebili