Problem 3 (5 points) (Chap 4) (Learning objective: volume integration in different coordinates)Use the differential volume dy to determine the volumes of the following regions:(a) 0 < x < 1, 1 < y < 2, −3 < z <3(b) 2

Answered: Problem 3 (5 points) (Chap 4) (Learning…

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 6.59P

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:贪1 Routh Criterio... > Problems of Routh Hurwitz Stability Criterion choose the corect answer 1. Routh Hurwitz criterion gives: a) Numher of ronts in the right half of the s-plane b) Value of the roots c) Namber of ronts in the left half of the s-plane d) Number of roots in the top half of the s-plane 2. If O appears in the first column of a nonzero row in Routh array, teplace it with a) Small negative mumber e) Large positive number b) Small positive number d) Large negative number 3. Number of sign changes in the entries in Ist column of Routh array denotes the no. of a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. e) Open loop poles in RHP. d) Open loop zeroes in RHP. 4. The nocessary condition for the stability of the linear system is that all the coefficients of characteristic equation 14G(s)H(s) -0, he real and have the a) Positive sign c) Same sign b) Negative sign d) Both positive and negative 5. The characteristic equation of a system is given as…
The Routh-Hurwitz criterion lets us find how many poles are in each section of the s-plane by giving us the coordinates of the poles. True False
Consider the scalar systern x(t) = tx(t) Compute the state matrix Ølt₂t.). transition
Z1and Z2 are complex numbers. Which of these is true? O All of these Z1. Zz = Z.. Z2 %3D Z, + Z2 = Z1 + Z, Z, – Z, = Z, – Z, || | | O None of these
See attached. I just need help with (b) and (c).
Helpe to solve these
choose the correct answer 1. Routh Hurwitz criterion gives: a) Number of roots in the right half of the s-plane b) Value of the roots c) Number of roots in the left half of the s-plane d) Number of roots in the top half of the s-plane 2. If 0 appears in the first column of a nonzero row in Routh array, replace it with a) Small negative number c) Large positive number b) Small positive number d) Large negative number 3. Number of sign changes in the entries in 1st column of Routh array denotes the no. of a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. c) Open loop poles in RHP . d) Open loop zeroes in RHP. 4. The necessary condition for the stability of the linear system is that all the coefficients of characteristic equation 1+G(s)H(s) =0, be real and have the : a) Positive sign c) Same sign b) Negative sign d) Both positive and negative 5. The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of the roots in the right half…
Consider the two systems S₁(zn)) = z[-n¹01] and S₂(x[n]) = cos(zn-3²]) el/zin] 0 • S₁ S₂ T I[n] #0 I[n] = 0 fill in the blanks with 'Y' or 'N'. time invariant linear causal stable
Region of Convergence
In class we showed that any complex number Z can be written in either of the following two forms: Z = X+jY Z = |Z| ej To go between these two forms, you can use the following relationships: |Z| = √X² +Y² Y X X = |Z| cos o Y = |Z| sino We also introduced one more quantity called the complex conjugate of Z, which is denoted Z*. To find the complex conjugate of Z, you simply reverse the sign in front of all the j's. So, for example, if: Z = X+jY= |Z| e¹ then: tan o = Z* = X-jY= |Z| e-j The complex conjugate is useful because it can be used to calculate |Z|, the magnitude of Z. Consider, for example, the following product: ZZ* = (x+jY) (X -jY) = x² + y² = |Z|². Alternatively, using the exponential form of Z: ZZ = (|Z|e¹) (|Z| e-jº) = |Z|². In both cases we get that ZZ* = |Z|².
The higth of the triangle is "1". please show your work in details
1. – 4.) Sketch the positive root locus of the system shown below with the following choices of G(s). State the asymptote angles and their centroid. Determine the arrival and departure angles at any complex pole, complex zero, and repeated pole/zero. The frequencies of any imaginary axis crossings. The locations of any repeated roots (e.g. break-in or break-away points). ny your 1oui SKeto and thO Prayeu Σ K G(s)

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