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For the coefficients of the gain matrix of the observer is placed:

Figure 5 For the coefficients of the gain matrix of the observer is placed:

Related Figures (14)

@,; and @, are the electrical synchronous stator and rotor speed; o is the linkage coefficient, and T, is the rotor time constants. By referring to a rotating reference frame, denoted by the superscript (d,g), the dynamic model of a three-phase induction motor can be expressed as follows [2]:
@,; and @, are the electrical synchronous stator and rotor speed; o is the linkage coefficient, and T, is the rotor time constants. By referring to a rotating reference frame, denoted by the superscript (d,g), the dynamic model of a three-phase induction motor can be expressed as follows [2]:
The dynamics of the observer is defined by the following equation: Whose roots are proportional to the poles of the MAS; the proportionality constant k is at least equal to unity ( k > 1), The identification of expressions (13) and (14) gives:
The dynamics of the observer is defined by the following equation: Whose roots are proportional to the poles of the MAS; the proportionality constant k is at least equal to unity ( k > 1), The identification of expressions (13) and (14) gives:
The poles of the observer are chosen to accelerate convergence to the dynamics of the open loop system. In general, the poles are 5-6 times faster, but they must remain slow compared to measurement noise, so that we choose the constant k usually small. and in accordance with the antisymmetry of the matrix A we Set the gain as follows:
The poles of the observer are chosen to accelerate convergence to the dynamics of the open loop system. In general, the poles are 5-6 times faster, but they must remain slow compared to measurement noise, so that we choose the constant k usually small. and in accordance with the antisymmetry of the matrix A we Set the gain as follows:
Suppose now that speed is an unknown constant parameter. It's about finding an adaptation law that allows us to estimate it. The observer can be written: The mechanism of adaptation speed will be reduced by Lyapunov theory. The estimation error of the stator current and rotor flux, which is simply the difference between the observer and the engine model, is given by:
Suppose now that speed is an unknown constant parameter. It's about finding an adaptation law that allows us to estimate it. The observer can be written: The mechanism of adaptation speed will be reduced by Lyapunov theory. The estimation error of the stator current and rotor flux, which is simply the difference between the observer and the engine model, is given by:
A sufficient condition for uniform asymptotic stability is that equation (24) is negative, which amounts to cancel the last two terms in this equation (since the other terms of the second member of (24) are always negative) , in which case we can deduce the adaptation law to estimate the rotor speed by equating the second and third term of Eq. It is estimated the speed by a PI controller described by the relationship:
A sufficient condition for uniform asymptotic stability is that equation (24) is negative, which amounts to cancel the last two terms in this equation (since the other terms of the second member of (24) are always negative) , in which case we can deduce the adaptation law to estimate the rotor speed by equating the second and third term of Eq. It is estimated the speed by a PI controller described by the relationship:
Figure 3. Block diagram of simultaneous estimation of rotor speed and stator resistance
Figure 3. Block diagram of simultaneous estimation of rotor speed and stator resistance
Figure.4 Block diagram of sensorless (IFOC) with stator resistance tuning of induction motor drive system. The induction motor is three-phase, Y-connected, four pole, 1.5 Kw. 220/380V, and 50Hz. The torque component voltage command v,, is generated from the speed error between the command and the estimator rotor speed through the torque controller.
Figure.4 Block diagram of sensorless (IFOC) with stator resistance tuning of induction motor drive system. The induction motor is three-phase, Y-connected, four pole, 1.5 Kw. 220/380V, and 50Hz. The torque component voltage command v,, is generated from the speed error between the command and the estimator rotor speed through the torque controller.
Fig. 5 Performances of speed control using an L O proposed with a speed reverse and under load change. JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 ISSN (Online): 1694-0814 vwww.lJCSI.org
Fig. 5 Performances of speed control using an L O proposed with a speed reverse and under load change. JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 ISSN (Online): 1694-0814 vwww.lJCSI.org
JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 SSN (Online): 1694-0814 vww.IJCSI.org
JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 SSN (Online): 1694-0814 vww.IJCSI.org
Fig. 7 Simulation results of the speed estimation with stator resistance increased sharply by 40% from Rg, |JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 ISSN (Online): 1694-0814 www.lJCSI.org
Fig. 7 Simulation results of the speed estimation with stator resistance increased sharply by 40% from Rg, |JCSI International Journal of Computer Science Issues, Vol. 9, Issue 3, No 2, May 2 ISSN (Online): 1694-0814 www.lJCSI.org
5. Simulation Results and Discussion simulations were conducted at 10 rad/second and with a constant load torque of 10 Nm, figure 8 shows the performances of the estimation of rotor speed and stator resistance at speed 10 rad/second the resistance value increased sharply by 40% from its nominal value at time 1.25 second. In which the Rs denotes the stator resistance.
5. Simulation Results and Discussion simulations were conducted at 10 rad/second and with a constant load torque of 10 Nm, figure 8 shows the performances of the estimation of rotor speed and stator resistance at speed 10 rad/second the resistance value increased sharply by 40% from its nominal value at time 1.25 second. In which the Rs denotes the stator resistance.
Table 1: Induction Motor Parameters References Appendix
Table 1: Induction Motor Parameters References Appendix
Related topics:
EngineeringInduction MotorLyapunov functionInduction Motor DriveState observer
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