ABSTRACT:
Connecting two PMSMs in parallel to a 2-level 3-leg inverter gives a way to build up a high power-density driving system using existing electronic devices. But this type of system has a nature of nonlinearity that creates an obstacle in high performance control and the original system cannot be feedback-linearized directly. This article presents a reduced-order feedback-linearization method. In the first place, an extra order-reducing step that separates the system as a main system and an auxiliary system is applied. Then a feedback-linearization method is applied to the reduced-order system. With these effort, the original system can be converted into a linear time-invariant system bringing the controller design problem into the linear domain. In the last step, a linear robust state-feedback controller is used to achieve the speed control as well as compensate the unmeasurable external load torque. An extensive experiment is given to verify the feasibility and good performance in a highly unbalanced load torque situation of the designed controller.
KEYWORDS:
1. Parallel
PMSM
2. Robust control
3. Feedback-linearization
SOFTWARE: MATLAB/SIMULINK
BLOCK DIAGRAM:
Figure 1. Proposed Controller
Scheme.
EXPECTED SIMULATION RESULTS:
Figure 2. Speed And _D Response Of Speed Command
Experiment.
Figure 3. Current Response Of Speed Command
Experiment.
Figure 4. Speed And _D Response Of _D Command
Experiment.
Figure 5. Current Response Of _D Command
Experiment.
CONCLUSION:
In
this article, we have presented a two-step state-feedback controller for the
MIDPMSM system such that the two machines are carried out in closed-loop
systems for handling the highly unbalanced load torque situation. This article proposes
a new way to linearize a nonlinear system if feedback-linearization cannot be
applied directly. The major contribution can be summarized in three aspects.
First of all, a state-space description for the MIDPMSM system is set up, and
it is an affine nonlinear system with unknown inputs. And then, the original
affine nonlinear system is linearized through two steps: order reducing and
state-feedback linearization. With these two steps, the controller design
problem is brought into the LTI system domain. Secondly, in the state-feedback
linearization stage, the stability of the constrained two-dimensional subsystem
(7) is fully considered and dealt with. Indeed, in order to keep its stability,
the calculation of the disturbance compensation gain k is given by analyzing
eigenvalue constraints through solving its characteristic polynomial. Thirdly,
based on the reduced-order linearized system, a state feedback controller
together with an integrator is designed. In this way, both goals, closed-loop stability
and reference tracking, are reached. The experiment also proves that an
open-loop machine can have the risk of becoming unstable when the
"master-slave" method is used. The proposed controller can avoid this
situation by putting both machines under closed-loop control. Although the
proposed controller design method has shown its great advantages, at least one
drawback of the controller is also left. This controller can hardly handle the singularity
point of the system, which creates an obstacle. How to overcome the drawback
becomes one of our next considerations.
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