State-Space Equations in Power Systems
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Questions and Answers

What is the general form of the state-space model?

  • x(t) = f(x(t), v(t), t) and y(t) = g(x(t), v(t), t) (correct)
  • x(t) = Aẋ(t) + Bv(t) and y(t) = Cx(t) + Dv(t)
  • ẋ(t) = Ax(t) + Bv(t) and y(t) = Cx(t) + Dv(t)
  • x(t) = f(ẋ(t), v(t), t) and y(t) = g(ẋ(t), v(t), t)

    • What does the system matrix A represent in the state-space equations?

  • The system inputs
  • The time-domain analysis
  • The order of the differential equation
  • The dynamics of the state variables (correct)

    • When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?

  • The order of the differential equation (correct)
  • The output matrix C
  • Twice the order of the differential equation
  • Half the order of the differential equation

    • In terms of time invariance, what type of system is represented by constant A, B, C, D matrices?

    <p>Linear Time Invariant (LTI) system</p> Signup and view all the answers

    What concept does the time-domain analysis and design of control systems utilize?

    <p>The state of a system</p> Signup and view all the answers

    In the state-space model, which matrix represents the input to the system?

    <p>B</p> Signup and view all the answers

    What does the output matrix, C, represent in the state-space equations?

    <p>Output of the system</p> Signup and view all the answers

    When constructing state equations from a differential equation, what should the dimension of the state equations be equal to?

    <p>Order of the differential equation</p> Signup and view all the answers

    What concept is utilized in the time-domain analysis and design of control systems?

    <p>State of a system</p> Signup and view all the answers

    If A, B, C, and D are constant over time, what type of system is represented?

    <p>Linear Time Invariant (LTI) system</p> Signup and view all the answers

    In the state-space model, what is represented by the matrix B(t)?

    <p>Input vector</p> Signup and view all the answers

    What is the role of the matrix D in the state-space model?

    <p>Accounts for direct input-output relationship</p> Signup and view all the answers

    What does the state variable technique primarily focus on in a linear system?

    <p>System representation</p> Signup and view all the answers

    What is the primary function of the transition matrix in a state-space model?

    <p>Determines the system response to initial conditions</p> Signup and view all the answers

    Which vector does the matrix C(t) represent in a state-space model?

    <p>Output vector</p> Signup and view all the answers

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