The characteristic equation of a system is given by 2s5+6S4+6S³+18S²+12S+2=0 Determine (i) Stability of the system (ii) Number of roots on the right side of 's' - Plane (iii) Number of roots on the left side of 's' - Plane

The characteristic equation of a system is given by 2s5+6S4+6S³+18S²+12S+2=0 Determine (i) Stability of the system (ii) Number of roots on the right side of 's' - Plane (iii) Number of roots on the left side of 's' - Plane

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 6.27P

See similar textbooks

Related questions

Q: 13. Friction is inversely proportional to the Normal Force. O True False 14. Solve the resultant of…

A: As we know that the fricition is always directly proportional to the noramal surface.

Q: A resistance of 80 ohms has a current drawn given by i = = 3.5 cos (500t – 500). Determine the…

Q: Q.5 For the system i = x + 0 2*+ lol 4,y = 2x,, answer lhe 1) Diagonalize the system. 2) Design a…

A: As per policy and lengthy solution I am solving first part. Please 1) to diagonalize the system A…

Q: Region I Mr₁=4 is the side of the plane y+z=1 containing the origin Region II 1 Mr₂ = 6 for given…

Q: Given vectors A a, + 3a, and B = 5a, + 2a, 6a, determine %3D (a) A + B (b) 5A - В (c) The component…

A: Given two vector A=ax+ 3az B= 5ax+2ay-6az |A+B|=? 5A-B ?

Q: The integral of vector A= 0.25p cos(@)ap +2zaz Over the top of cylinder specified by 1sZs2, p 2 811…

A: Here I have solved it.

Q: Using vector algebraic operations. Four vectors drawn from a common point are given as follows: A =…

A: D) The vector D is perpendicular to both A and B. If vector D is perpendicular to A,…

Q: Given vectors A = 2ax+ 4ay and B = 12a,+ 7az, determine: (i) Vector B in Cartesian coordinate…

Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by 2.29ax+1.93ay+az…

A: It is conversion of cyclinderical to cartisian .

Q: (c) Consider, the LTI system 0. 1 X1 u -5 -9 Find the. non-homogeneous solution if X1 (0) = 4, X2(0)…

Q: Let D = 2xyā, + 2(x² + z²)āy + 4yzä, C/m² and evaluate surface integrals to find the %3D

A: Electric field lines are zero inside the perfect conductor. And permittivity of medium is8.854x10-14…

Q: Find the sum of the following vectors graphically and algebraically (It may be necessary to convert…

A: It is given that: P⇀1,i=545 gcms,44° P⇀2,i=271 gcms,136°

Q: Calculate the scalar curvature by the coefficients of Lcins and II genera Christoffel symbols, mixed…

A: Given data, The metric is, ds2=sinyzdx2+cosxzdy2+2ydxdz+2zdxdy

Q: Consider the contour represented in the following figure. The points marked on the figure are A(3,…

A: Equation of the two-point: If there are two points then in between a line exists that connects these…

Q: · Given that, in free space E = Em sin (wt-ßz) ây. Find B, and Ja. Then show that D. (V × H)=0. %3D

Q: Q1: Two vectors extending from the origin are given as ri = 7ax + 3ay- 2az r2 =-2ax + 7ay - 3az Find…

Q: Q2/4) A system is given by the state space model below. *(t) = (x(t) + 30)(x(t)² + 30x(t) + 200) %3D…

A: Given: A system is given by the state-space model: x.t=xt+30xt2+30xt+200 To find: a) Find the…

Q: iven the points D (5, 20°, −5) to S (2, −80°, 3): find the unit vector in cartesian coordinates…

A: The given point is shown below: D (5, 20°, −5) to S (2, −80°, 3)

Q: Given vectors A = a, + 3a, and B 5a, + 2a, - 6a,, determine (a) A + B| (b) 5A B (c) The component of…

Q: i denotes the position vector in a regular region 9 with volume V [m']. The volume integral of divr…

Q: 11. Given: P(-1, -1, 2) what is ở in cylindrical coordinate system? 12. Given: F-i determine F•i,.

A: 11) To convert rectangular to cylindrical coordinate system 12) To find the dot product

Q: Given: Pt. Q (2,-3,6) and Pt. R(3, 0, -6) Solve for the following: a. Displacement vector (d1) from…

Q: The equation of plane passes through the point (-1,4,2) and containing the line x=t ,y=3t-2, z=2t-1…

Q: Given vector k-(4,9, 10, 22, 5, 15, 20, 7, 4, 8]. Use logical vectors: Part 1. count how many…

Q: If a scalar field Ø = 3(x2y − y2x) Calculate the gradient at Point(1, -2, -1)

A: The gradient of a scalar results in vector field and it represents both magnitude and the direction.

Q: Q3. The region bounded by the curve y = x² and the line y = 3x, is revolved about the line x = -3.…

A: From the General expression

Q: Q2 A=(3z+sin(Ø)a, +(2p-cos(Ø))as +6za, B=(2psin(Ø)ap +3cos(Ø)as +2a, a. Calculate the angle between…

Q: Question 12 Divergence operation results will always Scalar Vector Scalar or Vector Non of choices

A: divergence is always applied to a vector. let vector A = Ax i + Ay j + Az k then ∇·A = ∂Ax∂x + ∂Ay∂y…

Q: In cylindrical coordinate system, a vector is given by A = fA, + A4 + 2Az. Derive the vector…

A: Brief description : In electromagnetic theory we have different approaches to represent a vector…

Q: A = aa, + a, + 4a. в - За, + Ва, - ба, C = 5a, 2a, + ya: determine a, ß, and y such that the vectors…

A: if the two vectors are mutually orthogonal then the A(dot)B = 0 B(dot)C = 0 A(dotC) = 0

Q: With the system given below, how many poles are in right-half plane? Is the system stable? * R(s) +…

Q: PROBLEM NO. 1 Given r = 4i – 6j + 2k m (position vector) F = 20i + 40j – 30k N (force vector) 1 =…

A: given vector equation

Q: Q1. Sketch the graph of y = 2 cos(x - n) . then show if the function is even or odd Q2. Find the…

A: Sketch

Q: Q3\ A. Give the Cross products of the unit vectors (i, j, k). B. Vector A has a magnitude of 6 units…

A: In the given question they are discussing about the electromagnetic theory. In electromagnetic…

Q: The unit vectors of Cartesian Ox,x,x,, cylindrical Opox, and spherical OrOo coordinate systems dễ ,…

Q: Calculate the divergence at the origin (0,0) based on the four vectors below - Vector 1 (0,0)…

A: We have to find a direction vector and then divergence of that vector. NOTE- To find the direction…

Q: Q3. a) write base vector a, in cylindrical coordinates and find ax. ag b) write base vector a, in…

A: We need to transform base vector (i) a^x in cylindrical co-ordinates and find a^x.a^ϕ (ii) a^r in…

Q: (a) Express the field D = (x² + y²)-'(xa, + ya,) in cylindrical components and cylindrical…

Q: Q4): A) Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to…

A: As per our guidelines we are supposed to be answer only the first question. Kindly repost the other…

Q: Three vectors A, B and C lie on the 3D RCS. The scalar product of A and B is equal to -2. The scalar…

Q: Q3: Given the two vectors (A = 3 Ax + 4 Ay and B = 12 Ax + 5 Ay) in Cartesian coordinates, evaluate…

A: According to guidelines we are allowed to do only first 3 subparts only. So repost for remaining

Q: 3s-1 i) Locate poles and zeroes on the s-plane for the system H(s) (s+5)(s²+9)4 ii) The system in…

A: Given H(s)=P(s)Q(s)=3s-1(s+5)(s2+9)4

Q: A. Given The electric circuit 10 volts R-2 Path I R24 17 volts Path 2 R2 Path 3 14 volts You now…

A: Given: R1=2ΩR2=4ΩR3=1ΩR4=2ΩR5=2ΩR6=4Ω Potential difference=V=14V We know that in parallel…

Q: Q1) Write Maxwell's equations in differential, integral and phasor form, express the major…

A: Maxwell's equations are set of four complicated equations that describe the world of…

Q: Given F = z2cos φ aρ + ρ z aφ + ρ2 sinφ az. The divergence of vector F is : (__________2 cosφ)/ρ+…

Q: Consider the vectors A 4ax+2ka,taz and B= ax+4ay-32az what value of k the two vectors A and B will…

A: Orthogonal vector defined by A.B=0 Dot product of two vector is zero

Q: Q1) Transform the vector to cylindrical coordinate system: - K= yx'+xy + (x²//x²+y*)z° Q2) Express…

A: NOTE : Since you have posted multiple independent questions in the same request, We will solve the…

Q: Determine whether the vectors 1 point v1=[12 1]^T , v2=[10 2]^T and v3=[5 6 7]^T are orthogonal…

Q: Given vector A = x²yax-yzay + y(z²)a₂ and point T(2, -1, 3). Determine the position vector S if the…

Question

The characteristic equation of a system is given by
2s5+6S4+6S³+18S²+12S+2=0
Determine
(i) Stability of the system
(ii) Number of roots on the right side of 's' - Plane
(iii) Number of roots on the left side of 's' - Plane

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Calculate the scalar curvature by the coefficients of Lcins and II genera Christoffel symbols, mixed curvature tensor, covariant curvature tensor and Ricci curvature tensor according to the metric ds²=sin yz (dx)^ 2 + cosxz (dy) ² + 2ydxdz + 2zdxdy given in three dimensional Riemann space.
Discuss in details and mathematical equations (and by aid of Kirchhoff’s Laws), how the obtained results may prove the validity of mesh analysis and nodal analysis.
i).The system variables in AC circuits are time-dependent AND (ii).The system variables in AC circuits are scalar quantities and are independent of space coordinates. a. Both the Statemets are false b. Statemet (i) is true and (ii) is false c. Statemet (i) is false and (ii) is true d. Both the Statemets are true
For the circuit given in Figure 2 (a) obtain the fundamental loop equations associated with the tree branches {1, 2, 3, 7}. (b) Write the incidence matrix.
Please answer, Thank you! Use mesh or maxwell's method to solve for the unknowns. See attached figure.
The circuit shown in Figure 3 consists of an inductor L, a capacitor C, and a resistor R. The input is the source voltage Vs(t) and the output is the voltage Vo across the resistor Ro. Using IL and Vc as the state variables, Construct a complete state-space model for the system shown in figure 3. Specifically, express system equations in the vector-matrix form: in the usual notation, where ‘x’ is the state vector, ‘u’ is the input vector, and ‘y’ is the output vector, and determine all the elements of the four matrices A, B, C, and D in terms of the circuit parameters R, Ro, L, and C.
Fill in the blanks Orthogonal curvilinear Coordinate System Cartesian Cylindrical Spherical Base vectors (u1,u2,u3) Metric coefficients (h1,h2,h3) Differential surfaces ds1 ds2 ds3 Differential volume dv
please show steps-by-steps solutions tq
Starting with the initial values (1, 1, 1), solve the following system of equations bythe Newton-Raphson Method. Please show complete written solution
Use mesh or maxwell's method to solve for the unknowns... See attached figure
Figure a shows the ignition circuit of an automobile system. It consists of four Resistors R, as well as the energy storing elements of Inductor and Capacitor . Meanwhile Figure b shows the equivalent circuit of the same system of Figure a. Let Z1 and Z2 be the Impedances seen from the respective terminals. The variables and are the mesh currents flowing in the loops 1 and 2, respectively. Let the values of Resistors are 2, while the value of the Capacitor and Inductor are 1. i) The total impedance of Z1=ii) The total impedance of Z2=iii) Current I2(S) in function of Vs(S) = iv} Find the transfer function of Vz2(S)/Vs(S) =
Since R1=18.10Kohm, R2=67.58Kohm, RC= 1.08Kohm, RE= 3.23Kohm, VCC=14.00V, Beta=241.00 in the circuit given in the figure, calculate the IC current by doing a complete analysis. When performing your operations, 2 steps will be taken after the point. choose the closest one from the stylish ones according to the +/-10% margin of error. There is only 1 correct answer to the question.