64
dT
dt
B
K K
J
n
K K
J
B
K
J n
ls
ls
ls l
l
l
ls l
g
ls
g
l s
l
§
©
¨
·
¹
¸
§
©
¨ ¨
·
¹
¸ ¸
Z
Z
1
2 2
2
J
n J J
T
K
J
T
K
nJ
T
g
l g
ls
ls
l
ls
g
g
§
©
¨ ¨
·
¹
¸ ¸
D
(4.8)
where
K ls  = IG/L ls
D ls  = ξD s
[
Z
Z
§
©
¨
·
¹
¸
1
2
n
(4.9)
D
K m
s
l s
= 2
(4.10)
where ω/ω n is calculated as the mean of value of shaft frequency of oscillation, m
represents the net mass of the shaft, I represents the secondary momentum of the
rotation of the shaft, L ls denotes the length of the shaft, G represents the rigid module, D s represents the critical factor of damping, and ξ is the damping rate of the
shaft (Fig. 4.3).
Since the generator acts as either an induction or a synchronous of the rotor, the
variable speed direct-driven synchronous force is also clarified [31–33]. Thus, the
presence of a rotor in the generator is calculated in order to transform the thermal
energy into electricity which is shown as
Fig. 4.3 Conceptual sketches of the full-scale conversion of geothermal energy generation from
the synchronous mechanism of energy via rotor of the generator
4 Geothermal Energy