52
and ω/ω n is the ratio of shaft frequency of oscillation to the undamped natural
frequency of shaft, m is the mass of shaft, I is the second momentum of area about
the axis of rotation, L ls is the shaft length, G is the modulus of rigidity, D s is the critical damping of shaft, and ξ is the damping ratio of shaft [27–29].
Eventually, in order to extract maximum energy from wind in a varying speed
condition the rotational speed has been calculated considering the optimal value of
TSR by calculating the voltage-current relation and voltage-power relation as nonlinear as shown in Fig. 3.3. Thus, the maximum power point (MPP) is tracked for
extraction of maximum power from maximum power point tracking (MPPT) from
the turbine’s optimum torque control (Fig. 3.3).
Consequently, the optimum TSR control is where optimum TSR (λ opt ) is confirmed by the maximum exploitation of available wind energy which is related to
the torque of wind turbine at a given wind speed as
V
R
=
ω
λ
(3.45)
Using Eq. (3.45) in Eq. (3.16) yields
P
R
C
=
1
2
5
3
3
ρπ
ω
λ
p
(3.46)
When rotor is rotating at λ opt , C p = C p max . So, Eq. (3.46) becomes
P
R
C
K
opt
p
opt
opt
=
=
1
2
4
3
3
3
ρπ
λ
ω
ω
max
(3.47)
Fig. 3.3 Maximum power point tracking when isolation changes in wind turbine keep forcing to
attain the peak point using generator control system to produce power in relation to the current and
voltage generation into the maximum point of the wind turbine
3 Wind Energy
and ω/ω n is the ratio of shaft frequency of oscillation to the undamped natural
frequency of shaft, m is the mass of shaft, I is the second momentum of area about
the axis of rotation, L ls is the shaft length, G is the modulus of rigidity, D s is the critical damping of shaft, and ξ is the damping ratio of shaft [27–29].
Eventually, in order to extract maximum energy from wind in a varying speed
condition the rotational speed has been calculated considering the optimal value of
TSR by calculating the voltage-current relation and voltage-power relation as nonlinear as shown in Fig. 3.3. Thus, the maximum power point (MPP) is tracked for
extraction of maximum power from maximum power point tracking (MPPT) from
the turbine’s optimum torque control (Fig. 3.3).
Consequently, the optimum TSR control is where optimum TSR (λ opt ) is confirmed by the maximum exploitation of available wind energy which is related to
the torque of wind turbine at a given wind speed as
V
R
=
ω
λ
(3.45)
Using Eq. (3.45) in Eq. (3.16) yields
P
R
C
=
1
2
5
3
3
ρπ
ω
λ
p
(3.46)
When rotor is rotating at λ opt , C p = C p max . So, Eq. (3.46) becomes
P
R
C
K
opt
p
opt
opt
=
=
1
2
4
3
3
3
ρπ
λ
ω
ω
max
(3.47)
Fig. 3.3 Maximum power point tracking when isolation changes in wind turbine keep forcing to
attain the peak point using generator control system to produce power in relation to the current and
voltage generation into the maximum point of the wind turbine
3 Wind Energy