From: Configuration Synthesis and Performance Analysis of 9-Speed Automatic Transmissions
 | Mode 3 | Mode 4 | Mode 5 | Mode 6 |
---|---|---|---|---|
S1S2S4 | 1 | 1 | 1 | 1 |
R3PC4 | \(\frac{1}{{1 + K_{4} }}\) | \(1 - \frac{{(1 + K_{1} )K_{2} K_{4} }}{{(1 + K_{3} + K_{4} )(1 + K_{2} )K_{1} }}\) | \(\frac{{1 + K_{3} }}{{1 + K_{3} + K_{4} }}\) | \(1 - \frac{{K_{2} K_{4} }}{{(1 + K_{3} + K_{4} )(1 + K_{2} )}}\) |
PC3R4 | 0 | \(1 - \frac{{(1 + K_{1} )(1 + K_{4} )K_{2} }}{{(1 + K_{3} + K_{4} )(1 + K_{2} )K_{1} }}\) | \(\frac{{K_{3} }}{{1 + K_{3} + K_{4} }}\) | \(\frac{{1 + K_{3} + K_{4} + K_{2} K_{3} }}{{(1 + K_{3} + K_{4} )(1 + K_{2} )}}\) |
PC1 | \(1 - \frac{{(1 + K_{3} + K_{4} )(1 + K_{2} )K_{1} }}{{(1 + K_{1} )(1 + K_{4} )K_{2} }}\) | 0 | \(\frac{{K_{2} - K_{1} }}{{(1 + K_{1} )K_{2} }}\) | \(\frac{1}{{1 + K_{1} }}\) |
PC2S3 | \(- \frac{{K_{3} }}{{1 + K_{4} }}\) | \(- \frac{{K_{2} - K_{1} }}{{(1 + K_{2} )K_{1} }}\) | 0 | \(\frac{1}{{1 + K_{2} }}\) |
R1R2 | \(\frac{{1 + K_{3} + K_{4} + K_{2} K_{3} }}{{(1 + K_{4} )K_{2} }}\) | \(- \frac{1}{{K_{1} }}\) | \(- \frac{1}{{K_{2} }}\) | 0 |