Consider the following electrical system:R,C= UcThe equations describing the system dynamics are the following:di(t)+(R, +R, )i(t)+u (t)dtu(t) = Lc du. (t)= i(t)C-dtChoose as state variables: x, (t) =u_(t) and x, (t) =i(t).Obtain the following state space model1C+ 1 uR, + R, x2.LLy=[1 0]+ OuX2and calculate the system matrices for L = 1, R1 = 1, R21and C= 0.5.

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Choose as state variables: x, (t) =u¸(t) and x,(t) = i(t). Obtain the following state space model 1 C 1 R, + R, ||x,. L y =[1 0] + Ou X2 and calculate the system matrices for L = 1, R1 = 1, R2 = 1and C = 0.5.

Choose as state variables: x, (t) =u¸(t) and x,(t) = i(t). Obtain the following state space model 1 C 1 R, + R, ||x,. L y =[1 0] + Ou X2 and calculate the system matrices for L = 1, R1 = 1, R2 = 1and C = 0.5.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.21MCQ

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Question

Consider the following electrical system:
R,
C= Uc
The equations describing the system dynamics are the following:
di(t)
+(R, +R, )i(t)+u (t)
dt
u(t) = L
c du. (t)
= i(t)
C-
dt
Choose as state variables: x, (t) =u_(t) and x, (t) =i(t).
Obtain the following state space model
1
C
+ 1 u
R, + R, x2.
L
L
y=[1 0]
+ Ou
X2
and calculate the system matrices for L = 1, R1 = 1, R2
1and C
= 0.5.

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