Power System Analysis & Design
6th Edition
ISBN: 9781305636187
Author: Glover, J. Duncan, Overbye, Thomas J. (thomas Jeffrey), Sarma, Mulukutla S.
Publisher: Cengage Learning,
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Chapter 6, Problem 6.9MCQ
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Chapter 6 Solutions
Power System Analysis & Design
Ch. 6 - For a set of linear algebraic equations in matrix...Ch. 6 - For an NN square matrix A, in (N1) steps, the...Ch. 6 - Prob. 6.9MCQCh. 6 - Prob. 6.11MCQCh. 6 - Using Gauss elimination, solve the following...Ch. 6 - Prob. 6.9PCh. 6 - Determine the bus admittance matrix (Ybus) for the...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38P
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- Consider the lateral dynamics of a vectored thrust aircraft as described in Example 3.12. Show that the dynamics can be described using the following block diagram: Ꮎ r ալ -mg Σ J82 ע 1 X ms² + cs Use this block diagram to compute the transfer functions from u₁ to 0 and x and show that they satisfy Нои r Js² - mgr Js²' Hau₁ Js2 (ms2+cs)arrow_forwardConsider the system dx ax+u. dt Compute the exponential response of the system and use this to derive the transfer function from u to x. Show that when s = a, a pole of the transfer function, the response to the exponential input u(t) = est is x(t) = eat x(0) + teat. For solving the system with u = eat eat you can't use the transfer function because the denominator is zero. Try using the convolution integral solution with initial conditions set as x(t) = eat x (0) + fo g(t − T)u(T)dT - g(t) is the impulse response of the system.arrow_forwarddny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forward
- dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardFor step a), use equations (2) to find the equation for the input impedance equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2 equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)arrow_forwardL (a) Find currents i, and b₂ 2 2 (b) Find the dependent source voltage given as Find voltages V, and (c) V₂ 5i2 (d) For each circuit element in the circuit and the two Sources, state whether they are ABSORBING OF SUPPYING Power and how much power is absorbed or Supplied. + V - 5A +lov- C/E₂ + C/E4 Vz い 5+2 + 1A C/E 5V + シュ 2A + 10Varrow_forward
- 4) A circuit is given as shown. (a) Find currents i, and i2. (b) Find the dependent source voltage given as 5i2 (c) Find voltages V, and V₂ 2 (d) For each circuit element in the circuit and the two Sources, State whether they are ABSORBING, OF SUPPLYING POWER and how much power is absorbed or supplied. + 10V - + 4 CIES C/E + V L₁ 4 1A Y T5A GE -5V + CIES iz 2A 2 52 2 +arrow_forwardDetermine the eigenvalues and eigenvectors of using A = ( 1 -3 3 3 -5 3 6-64 Gauss eliminationarrow_forward5) A circuit is given as shown (a) Find currents i₁, L2 and is . (6) Find voltages V, V2, V3 and Vy (c) For each circuit element in the circuit and the two sources, state whether they are ABSORBING SUPPLYING POWER and how much power is absorbed or supplied. + V₁ CIE, 1A +2V- C/E AS 1A + - 4A Vy+ CES CIES 2A4 + IOV +- + + V2 1 434 12V GVarrow_forward
- Determine the eigenvalues and eigenvectors of using Gauss A = -3 322 20 132 -3° 10 -2 4 eliminationarrow_forwardDetermine the eigenvalues and eigenvectors of 1-3 3 A = 3-53 6-64arrow_forward(6) Determine currents 41, 42, 43, Ly and is CE 5 4A A है C d 62 4A 23 (a) nodes: a, b, c, d, e, f (6) 1A E b C/E 25 Ly 5Aarrow_forward
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