Clutch schedule for a nine-speed transmission
The 9-Speed block consists of four planetary gear sets and six clutches. The follower shaft connects to the planet gear carrier of the fourth planetary gear. Three of the forward clutches determine the power flow path for the base shaft.The other three forward clutches serve as brakes, grounding various gears of the planetary sets to the transmission housing.
This diagram shows a nine-speed transmission. The labels for the gear components are superimposed on the input and output gears. The table lists the gear and clutch components that are labeled in the diagram.
|P.G.1–P.G.4||Planetary gears, 1–4|
|C||Planet gear carrier|
|B, E, F||Forward clutches that control the power flow path|
|A, C, D||Forward, braking clutches|
The drive ratio between the transmission input and output shafts follows from the elementary gear ratios specified for the gear blocks. The elementary gear ratios are
NRx is the number of teeth in the planetary ring gear x, where x = 1, 2, 3, and 4.
NSx is the number of teeth in the planetary sun gear x, where x = 1, 2, 3, and 4
The table shows the clutch schedule, drive-ratio expressions, drive-ratio default values, and the plower-flow diagrams for each gear of the 9-Speed block. The schedule and gear ratios are based on the manufacturer data for the ZF 9HP nine-speed automatic transmission.
The letters in the clutch schedule columns denote the brakes
and clutches. A value of
1 denotes a locked state
and a value of
0 an unlocked state. The clutch
schedule generates these signals based on the Gear port input signal.
The signals are scaled through a Gain block
and used as actuation inputs in the clutch blocks.
The plower-flow diagrams show the power flow paths between input and output shafts for each gear setting. Power flow is shown in orange. Connections to the transmission housing (a mechanical ground) are shown in black.
|Gear||Clutch Schedule||Drive Ratio Equation||Default Ratio||Power Flow|
Gear— Numerical input for the gear
Specify -1 for reverse, 0 for neutral, and 1–4 for the forward gears.
fixed point |
B— Base interface
Conserving port associated with the base shaft.
F— Follower interface
Conserving port associated with the follower shaft.
Initial gear— Gear state at the beginning of simulation
Sets the initial engagement or disengagement of the clutches using the clutch schedule. When the transmission is in neutral, there is no power flow from the base shaft to the follower shaft.