1. Engineering
  2. Electrical Engineering
  3. 3 rl electrical network 70 points consider the electrical system...

Question: 3 rl electrical network 70 points consider the electrical system...

Question details

3. RL Electrical Network (70 points). Consider the electrical system in Fig. 3, composed two inductances with constants L10 and L2 >0, and two resistors with constants R1 > and R2 > 0. The network is excited with a voltage e to produce currents i and i2. Assun consistent Metric-System units. (a) Using Kirchhoffs laws, find the two first-order differential equations that describe tl (b) Assuming zero initial conditions and employing the definitions s = d(.ja and s2-9(Ya (e) Assuming zero initial conditions and employing the definitions s-d-Vat and 2a (d) Assuming zero initial conditions and einploying the definitions s =姻 and s2-40 dynamics of the system. find the mapping that relates the input u(t) with the output y(t) h(t)-12(t). find the mapping that relates the input e(t) with the output y(t)2(t) find the mapping that relates the input r(t) with the output y(t) i(t). e(t) Figure 3: RL. Electrical Network. (e) Defining u as the input, as the output and the state as a i-f find a two-dimensional state-space realization describing the system i.e., fin matrices (A, B,C, D) (f) Find the matrix P such that (g) Using your answer for (), find an equivalent state-space realization (A, B,C, D) with th associated state
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution