12 2. STRUCTURAL DESCRIPTION AND WORK PRINCIPLE OF FULL HYBRID VEHICLES
e meshing power of the ring gear can be written as
P
c
r
D T
r
.
!
r
!
c
/
< 0: (2.37)
According to Eqs. (2.35) and (2.36), under these conditions, S2 and S1 are the input
power component, while the ring gear is the output power component.
e efficiency of the transformation mechanism of the CPGS can be defined as
c
.S1;S2/r
D
j
P
c
r
j
P
c
S1
C P
c
S2
: (2.38)
e power balance equation can be expressed as
T
S1
!
c
S1
r
.S1;S2/r
C T
S2
!
c
S2
c
.S1;S2/r
C T
r
!
c
r
D 0: (2.39)
at combining Eqs. (
2.30), (2.31), and (2.38) gives
T
S1
.
˛
1
/
c
.S1;S2/r
C T
S2
˛
2
c
.S1;S2/r
C T
r
D 0: (2.40)
Combining Eqs. (2.10), (2.23), and (2.40), the efficiency is given by
D
j
T
r
!
r
j
T
S1
!
S1
C T
S2
!
S2
C T
c
!
c
D
ˇ
ˇ
ˇ
.
˛
1
T
S1
T
S2
˛
2
/
r
.S1;S2/r
!
r
ˇ
ˇ
ˇ
T
S1
!
S1
!
c
˛
1
r
.S1;S2/r
!
c
C T
S2
!
S2
!
c
C ˛
2
r
.S1;S2/r
!
c
:
(2.41)
2.1.2 PURE ELECTRIC DRIVING MODE
During this mode, the carrier and ICE are locked and the vehicle is powered by two electric
motors. erefore, the power inputs from electric motors and outputs from the ring. e lever
diagram is indicated in Fig. 2.5.
e efficiency of the CPGS under the pure electric mode can be defined as
D
P
r
P
S1
C P
S2
D
j
T
r
!
r
j
T
S1
!
S1
C T
S2
!
S2
:
(2.42)
e speed of the CPGS can be written as !
S2
> !
r
> 0 > !
S1
.
e torque loading on the ring can be expressed as
T
r
D T
L
C J
r
a
r
; (2.43)
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