From: Configuration Synthesis and Performance Analysis of 9-Speed Automatic Transmissions
 | Mode 7 | Mode 8 | Mode 9 |
---|---|---|---|
S4 | \(\frac{{(1 + K_{4} )K_{2} }}{{(1 + K_{2} )K_{3} }} + 1\) | \(\frac{{1 + K_{4} }}{{K_{3} }} + 1\) | \(1 + \frac{{(1 + K_{1} )(1 + K_{4} )K_{2} }}{{(1 + K_{2} )K_{1} K_{3} }}\) |
R3PC4 | \(\frac{{K_{2} }}{{(1 + K_{2} )K_{3} }} + 1\) | \(\frac{1}{{K_{3} }} + 1\) | \(1 + \frac{{(1 + K_{1} )K_{2} }}{{(1 + K_{2} )K_{1} K_{3} }}\) |
S1S2PC3R4 | 1 | 1 | 1 |
PC1 | \(\frac{1}{{1 + K_{1} }}\) | \(\frac{{K_{2} - K_{1} }}{{(1 + K_{1} )K_{2} }}\) | 0 |
PC2S3 | \(\frac{1}{{1 + K_{2} }}\) | 0 | \(- \frac{{K_{2} - K_{1} }}{{(1 + K_{2} )K_{1} }}\) |
R1R2 | 0 | \(- \frac{1}{{K_{2} }}\) | \(- \frac{1}{{K_{1} }}\) |