ZF 3HP transmission

The 3HP is a 3-speed Automatic transmission family with a hydrodynamic Torque converter with hydraulic control for passenger cars from ZF Friedrichshafen AG. In selector level position "P", the output is locked mechanically.

Key data

Gear ratiosTemplate:Efn

Model	Version	First Deliv- ery	Gear				Total Span			Avg. Step	Components		Nomenclature
			R	1	2	3	Nomi- nal	Effec- tive	Cen- ter		Total	per GearTemplate:Efn	Gears Count	Cou- pling	Gear- sets	Input Shaft Diameter
Ravigneaux types													3Template:Efn	HTemplate:Efn	PTemplate:Efn
3HP 12	Small Engines	1963	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	2 Gearsets 3 Brakes 2 Clutches	Template:Round				12 mm
3HP 12	Large Engines		Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round
Simpson types
3HP 22	Large Engines	1973	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	2 Gearsets 3 Brakes 2 Clutches	Template:Round				22 mm
3HP 22	Small Engines		Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round
3HP 22	Porsche 944	1981	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round	Template:Round
Template:Notelist

1963: 3HP 12
— Ravigneaux planetary gearset types —

History

The Ravigneaux planetary gearset types were first introduced in 1963 and produced through the mid-seventies and has been used in a wide range of cars. There are versions for longitudinal and transverse engines.

Planetary gearset concept

Planetary gearset concept: gear ratio qualityTemplate:Efn

In-Depth AnalysisTemplate:Efn With Assessment And Torque RatioTemplate:Efn And Efficiency CalculationTemplate:Efn		Planetary Gearset: TeethTemplate:Efn		Count	Nomi- nalTemplate:Efn Effec- tiveTemplate:Efn	Cen- terTemplate:Efn
		Ravigneaux				Avg.Template:Efn
Model Type	Version First Delivery	S1Template:Efn R1Template:Efn	S2Template:Efn R2Template:Efn	Brakes Clutches	Ratio Span	Gear StepTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		$i_R$Template:Efn		$i_1$Template:Efn	$i_2$Template:Efn	$i_3$Template:Efn
StepTemplate:Efn		$-\frac{i_R}{i_1}$Template:Efn		$\frac{i_1}{i_1}$	$\frac{i_1}{i_2}$Template:Efn	$\frac{i_2}{i_3}$
Δ StepTemplate:EfnTemplate:Efn					$\frac{i_1}{i_2}:\frac{i_2}{i_3}$
Shaft Speed		$\frac{i_1}{i_R}$		$\frac{i_1}{i_1}$	$\frac{i_1}{i_2}$	$\frac{i_1}{i_3}$
Δ Shaft SpeedTemplate:Efn		$0-\frac{i_1}{i_R}$		$\frac{i_1}{i_1}-0$	$\frac{i_1}{i_2}-\frac{i_1}{i_1}$	$\frac{i_1}{i_3}-\frac{i_1}{i_2}$
Torque RatioTemplate:Efn		${\mu }_R$Template:Efn		${\mu }_1$Template:Efn	${\mu }_2$Template:Efn	${\mu }_3$Template:Efn
Efficiency ${\eta }_n$Template:Efn		$\frac{{\mu }_R}{i_R}$Template:Efn		$\frac{{\mu }_1}{i_1}$Template:Efn	$\frac{{\mu }_2}{i_2}$Template:Efn	$\frac{{\mu }_3}{i_3}$Template:Efn
3HP 12	Template:Convert Small engines 1963	25 32	32 64	3 2	Template:Round Template:Font colorTemplate:EfnTemplate:Efn	Template:Round
						Template:RoundTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		Template:Font color		Template:Round $\frac{64}{25}$	Template:Font color	Template:Round $\frac{1}{1}$
Step		Template:Font colorTemplate:Efn		1.0000	Template:Font colorTemplate:Efn	1.5200
Δ StepTemplate:Efn					1.1080
Speed		Template:Font color		1.0000	1.6842	2.5600
Δ Speed		Template:Font color		1.0000	0.6842	0.8758
Torque RatioTemplate:Efn		–1.9600 –1.9400		2.4836 2.4457	1.4928 1.4792	1.0000
Efficiency ${\eta }_n$Template:Efn		0.9800 0.9700		0.9702 0.9553	0.9821 0.9731	1.0000
3HP 12	Large Engines 1963	28 32	32 64	3 2	Template:Round Template:Font colorTemplate:EfnTemplate:Efn	Template:Round
						Template:RoundTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		Template:Font color		Template:Round $\frac{16}{7}$	Template:Round $\frac{10}{7}$	Template:Round $\frac{1}{1}$
Step		Template:Font colorTemplate:Efn		1.0000	1.6000	1.4286
Δ StepTemplate:Efn					1.1280
Speed		Template:Font color		1.0000	1.6000	2.2857
Δ Speed		Template:Font color		1.0000	0.6000	0.6842
Torque RatioTemplate:Efn		–1.9600 –1.9400		2.2175 2.1836	1.4038 1.3914	1.0000
Efficiency ${\eta }_n$Template:Efn		0.9800 0.9700		0.9702 0.9553	0.9826 0.9740	1.0000
Actuated shift elements
Brake ATemplate:Efn					❶
Brake BTemplate:Efn					❶
Brake CTemplate:Efn		❶		❶
Clutch DTemplate:Efn				❶	❶	❶
Clutch ETemplate:Efn		❶				❶
Geometric ratios: speed conversion
Gear RatioTemplate:Efn OrdinaryTemplate:Efn Elementary NotedTemplate:Efn	$i_R=-\frac{R_2}{S_2}$	$i_1=\frac{R_2}{S_1}$		$i_2=\frac{R_2(S_1+R_1)}{S_1(S_2+R_2)}$		$i_3=\frac{1}{1}$
	$i_R=-\frac{R_2}{S_2}$	$i_1=\frac{R_2}{S_1}$		$i_2=\frac{1+\frac{S_2}{S_1}}{1+\frac{S_2}{R_2}}$
Kinetic ratios: torque conversion
Torque RatioTemplate:Efn	${\mu }_R=-\frac{R_2}{S_2}{\eta }_0$	${\mu }_1=\frac{R_2}{S_1}{{\eta }_0}^{\frac{3}{2}}$		${\mu }_2=\frac{1+\frac{S_2}{S_1}{\eta }_0}{1+\frac{S_2}{R_2}\cdot \frac{1}{{\eta }_0}}$		${\mu }_3=\frac{1}{1}$
Template:Notelist

1973: 3HP 22
— Simpson planetary gearset types —

History

The all new Simpson planetary gearset was introduced in 1973 and was produced through 1990 and has been used in a wide range of cars from Alfa Romeo, BMW, Citroën, Peugeot, and Fiat. There are versions for longitudinal and transverse engines.

Specifications

Specifications

Weight	Template:Convert with converter
Control	mechanical · hydraulic

Planetary gearset concept

Planetary gearset concept: gear ratio qualityTemplate:Efn

In-Depth AnalysisTemplate:Efn With Assessment And Torque RatioTemplate:Efn And Efficiency CalculationTemplate:Efn		Planetary Gearset: TeethTemplate:Efn		Count	Nomi- nalTemplate:Efn Effec- tiveTemplate:Efn	Cen- terTemplate:Efn
		Simpson				Avg.Template:Efn
Model Type	Version First Delivery	S1Template:Efn R1Template:Efn	S2Template:Efn R2Template:Efn	Brakes Clutches	Ratio Span	Gear StepTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		$i_R$Template:Efn		$i_1$Template:Efn	$i_2$Template:Efn	$i_3$Template:Efn
StepTemplate:Efn		$-\frac{i_R}{i_1}$Template:Efn		$\frac{i_1}{i_1}$	$\frac{i_1}{i_2}$Template:Efn	$\frac{i_2}{i_3}$
Δ StepTemplate:EfnTemplate:Efn					$\frac{i_1}{i_2}:\frac{i_2}{i_3}$
Shaft Speed		$\frac{i_1}{i_R}$		$\frac{i_1}{i_1}$	$\frac{i_1}{i_2}$	$\frac{i_1}{i_3}$
Δ Shaft SpeedTemplate:Efn		$0-\frac{i_1}{i_R}$		$\frac{i_1}{i_1}-0$	$\frac{i_1}{i_2}-\frac{i_1}{i_1}$	$\frac{i_1}{i_3}-\frac{i_1}{i_2}$
Torque RatioTemplate:Efn		${\mu }_R$Template:Efn		${\mu }_1$Template:Efn	${\mu }_2$Template:Efn	${\mu }_3$Template:Efn
Efficiency ${\eta }_n$Template:Efn		$\frac{{\mu }_R}{i_R}$Template:Efn		$\frac{{\mu }_1}{i_1}$Template:Efn	$\frac{{\mu }_2}{i_2}$Template:Efn	$\frac{{\mu }_3}{i_3}$Template:Efn
3HP 22	Template:Convert 1973	35 73	35 73	3 2	Template:Round Template:Font colorTemplate:EfnTemplate:Efn	Template:Round
						Template:RoundTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		Template:Font color		Template:Round $\frac{181}{73}$	Template:Font color	Template:Round $\frac{1}{1}$
Step		Template:Font colorTemplate:Efn		1.0000	Template:Font colorTemplate:Efn	1.4795
Δ StepTemplate:Efn					1.1328
Speed		Template:Font color		1.0000	1.6759	2.4795
Δ Speed		Template:Font color		1.0000	0.6759	0.8035
Torque RatioTemplate:Efn		–2.0440 –2.0231		2.4303 2.4060	1.4699 1.4651	1.0000
Efficiency ${\eta }_n$Template:Efn		0.9800 0.9700		0.9802 0.9704	0.9935 0.9903	1.0000
3HP 22	Small Engines 1973	35 73	41 73	3 2	Template:Round Template:Font colorTemplate:EfnTemplate:Efn	Template:Round
						Template:RoundTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		Template:Font color		Template:Round $\frac{6,983}{2,555}$	Template:Font color	Template:Round $\frac{1}{1}$
Step		Template:Font colorTemplate:Efn		1.0000	Template:Font colorTemplate:Efn	1.5616
Δ StepTemplate:Efn					1.1207
Speed		Template:Font color		1.0000	1.7501	2.7331
Δ Speed		Template:Font color		1.0000	0.7501	0.9829
Torque RatioTemplate:Efn		–2.0440 –2.0231		2.6755 2.6470	1.5504 1.5448	1.0000
Efficiency ${\eta }_n$Template:Efn		0.9800 0.9700		0.9789 0.9685	0.9928 0.9892	1.0000
3HP 22	Porsche 944 1981	28 68	32 64	3 2	Template:Round Template:Font colorTemplate:EfnTemplate:Efn	Template:Round
						Template:RoundTemplate:Efn
Gear		R		1	2	3
Gear RatioTemplate:Efn		Template:Font color		Template:Round $\frac{19}{7}$	Template:Font color	Template:Round $\frac{1}{1}$
Step		Template:Font colorTemplate:Efn		1.0000	Template:Font colorTemplate:Efn	1.5000
Δ StepTemplate:Efn					1.2063
Speed		Template:Font color		1.0000	1.8095	2.7143
Δ Speed		Template:Font color		1.0000	0.8095	0.9048
Torque RatioTemplate:Efn		–2.3800 –2.3557		2.6562 2.6275	1.4900 1.4850	1.0000
Efficiency ${\eta }_n$Template:Efn		0.9800 0.9700		0.9786 0.9680	0.9933 0.9900	1.0000
Actuated shift elements
Brake ATemplate:Efn					❶
Brake BTemplate:Efn					❶	❶
Brake CTemplate:Efn		❶		❶
Clutch DTemplate:Efn				❶	❶	❶
Clutch ETemplate:Efn		❶				❶
Geometric ratios: speed conversion
Gear RatioTemplate:Efn R & 2 OrdinaryTemplate:Efn Elementary NotedTemplate:Efn	$i_R=-\frac{R_1}{S_1}$		$i_2=\frac{S_2+R_2}{R_2}$
	$i_R=-\frac{R_1}{S_1}$		$i_2=1+\frac{S_2}{R_2}$
Gear RatioTemplate:Efn 1 & 3 OrdinaryTemplate:Efn Elementary NotedTemplate:Efn	$i_1=\frac{S_1(S_2+R_2)+R_1{S}_2}{S_1{R}_2}$				$i_3=\frac{1}{1}$
	$i_1=1+\frac{S_2}{R_2}(1+\frac{R_1}{S_1})$
Kinetic ratios: torque conversion
Torque RatioTemplate:Efn R & 2	${\mu }_R=-\frac{R_1}{S_1}{\eta }_0$		${\mu }_2=1+\frac{S_2}{R_2}{\eta }_0$
Torque RatioTemplate:Efn 1 & 3	${\mu }_1=1+\frac{S_2}{R_2}{\eta }_0(1+\frac{R_1}{S_1}{\eta }_0)$				${\mu }_3=\frac{1}{1}$
Template:Notelist

See also

• list of ZF transmissions