According to the studies for selected electromechanical system (Fig.1) speed regulator with polynomial regulator of tension is the most appropriate type of the system, because its quality indicators meet all the criteria.
Figure 1. Model of electromechanical system to display transient characteristics
Figure 2. The dependence of the tension from time to time
For a system with speed regulator it is necessary to make a synthesis of polynomial regulator (Fig. 3).
Figure 3. Block diagram of a polynomial regulator
The transfer function for tension has the following form:
where D (s) is the desired characteristic polynomial.
Let us define the geometric mean root Ω0 of desired characteristic polynomial:
Software Satellite is used to determine polynomials regulator. Thus, we obtain the following polynomial regulator:
Figure 4.Model of electromechanical system with speed regulator with polynomial regulator of tension
Figure 5.Dependence of the tension of electromechanical system with speed regulator with polynomial regulator of tension
Thus, quality analysis of electromechanical system with speed regulator with polynomial regulator of tension shows:
1. Overshoot:
2. Speed recovery time: ТR= с.
3. Transition process time: ТTP=0.15 с.
So, this work can be interesting for students whose major is electro mechanics and electronics.