Computational Methods for Electric Power Systems, Second by Mariesa L. Crow

By Mariesa L. Crow

""This is nice source fabric for a graduate pupil getting ready for a qualifying exam""
-- IEEE energy & strength journal

summary:

""This is sweet source fabric for a graduate pupil getting ready for a qualifying exam""
-- IEEE energy & power journal

Show description

Read Online or Download Computational Methods for Electric Power Systems, Second Edition PDF

Best power systems books

Battery Reference Book, Third Edition

Crompton's Battery Reference e-book has develop into the normal reference resource for quite a lot of execs and scholars fascinated with designing, production, and specifying items and platforms that use batteries. This ebook is exclusive in offering wide facts on particular battery forms, brands and providers, in addition to overlaying the idea - a side of the booklet which makes an up to date version vital for each professional's library.

Smart Grid Security. Innovative Solutions for a Modernized Grid

The shrewdpermanent Grid protection environment is complicated and multi-disciplinary, and comparatively under-researched in comparison to the normal details and community protection disciplines. whereas the shrewdpermanent Grid has supplied elevated efficiencies in tracking energy utilization, directing strength offers to serve top strength wishes and bettering potency of strength supply, the shrewdpermanent Grid has additionally opened the best way for info safeguard breaches and different different types of safeguard breaches.

Fundamentals of Electrical Drives

This publication is helping scholars and engineers get pleasure from and comprehend the basic innovations of the fashionable electric drives utilized in millions of purposes, from robotics and family home equipment to wind generators and hybrid automobiles. Updates to this moment variation hide techniques in computing device layout, energy semi-conductors, electronic sign processors and simulation software program.

Extra info for Computational Methods for Electric Power Systems, Second Edition

Sample text

10. Solve the system of equations in problem 2 using the GMRES method. 11. Consider an n × n tridiagonal matrix of the form ⎤ ⎡ a −1 ⎥ ⎢ −1 a −1 ⎥ ⎢ ⎥ ⎢ −1 a −1 ⎥ Ta = ⎢ ⎥ ⎢ −1 a −1 ⎥ ⎢ ⎣ −1 a −1 ⎦ −1 a 42 Computational Methods for Electric Power Systems where a is a real number. (a) Verify that the eigenvalues of Ta are given by λj = a − 2 cos (jθ) j = 1, . . , n where θ= π n+1 (b) Let a = 2. i. Will the Jacobi iteration converge for this matrix? ii. Will the Gauss-Seidel iteration converge for this matrix?

Sn . . 0 ⎥ ⎥ .. . ⎥ . ⎥ ⎥ . . −sn . . cs . . 0 ⎥ ⎥ .. . ⎥ . ⎦ . 0 ... 0 ... 0 ... 1 1 ⎢ .. ⎢. ⎢ ⎢0 ⎢ ⎢ .. ⎢. ⎢ ⎢0 ⎢ ⎢. ⎣ .. 87) with properly chosen cn = cos(φ) and sn = sin(φ) for some rotation angle φ can be used to zero the element Aki . One of the difficulties with the GMRES methods is that as k increases, the number of vectors requiring storage increases as k and the number of multiplications as 12 k 2 n (for a n × n matrix). e. it can be restarted every m steps, where m is some fixed integer parameter.

N where θ= π n+1 (b) Let a = 2. i. Will the Jacobi iteration converge for this matrix? ii. Will the Gauss-Seidel iteration converge for this matrix? 12. An alternative conjugate gradient algorithm for solving Ax = b may be based on the error functional Ek xk = xk − x, xk − x where · denotes inner product. The solution is given as xk+1 = xk + αk σk Using σ1 = −AT r0 and σk+1 = −AT rk + βk σk , derive this conjugate gradient algorithm. 7 using this conjugate gradient algorithm. 13. Write a subroutine with two inputs (A, flag) that will generate for any non-singular matrix A, the outputs (Q, P ) such that if • flag=0, A = LU, P + I • flag=1, P A = LU where ⎡ l11 ⎢ l21 ⎢ ⎢ L = ⎢ l31 ⎢ ..

Download PDF sample

Rated 4.85 of 5 – based on 15 votes