Prepare for your exams
Get points
Guidelines and tips
Sell on Docsity
Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Power System Stability: Determining Eigenvalues and Eigenvectors for a Circuit, Study notes of Electrical and Electronics Engineering

University of Idaho (U of I)Electrical and Electronics Engineering

The steps to determine the eigenvalues and eigenvectors of a power system stability circuit using matlab. The circuit parameters are defined, and the equations are generated to find the eigenvalues and eigenvectors. The document also includes the matlab code to perform the calculations.

Typology: Study notes

Pre 2010

Uploaded on 08/19/2009

koofers-user-892 🇺🇸

10 documents

1 / 2

This page cannot be seen from the preview

Don't miss anything!

ECE 504 Special Topics Power System Stability S35b

dv1

dv2













Av1













⋅=A0.023−

0.127

4.228 10 3−

0.482−













=AC

1−

−F1−

⋅:=

Fi1













⋅v1













−=F15.2

21.8













=Fr1rm

()

r2rm

()













dv1

dv2













⋅i1













=C3

0.1













=CC1













III. Generate the Needed Equations

Determine v1 and v2 as a function of time using eigenanalysis.

II.Goals

v0210:=v0110:=

C1C2

rm4.0:=r217.8:=r111.2:=C20.1:=C13:=

The parameters for the following circuit are:

I. Define the Situation ORIGIN 1:=

C:\JLAW\CLASSES\S07 ECE 504

\HANDOUTS\Small Signal

\s35b.mcd

page 1 of 2 April 16, 2007

Discover Study notes of Electrical and Electronics Engineering University of Idaho (U of I)

Partial preview of the text

Download Power System Stability: Determining Eigenvalues and Eigenvectors for a Circuit and more Study notes Electrical and Electronics Engineering in PDF only on Docsity!

ECE 504 Special Topics Power System Stability S35b

dv 1

dv 2

A

v 1

v 2

A = ⋅

− 3 ×

A C =

− 1 − F

− 1 := ⋅

F

i 1

i 2

v 1

v 2

F = −

F =

r 1

r m

( )

r m

r 2

r m

( )

C

dv 1

dv 2

i 1

i 2

C =

C

III. Generate the Needed Equations

Determine v 1

and v 2

as a function of time using eigenanalysis.

II.Goals

v 2

v0 := 10 1

r

i

v

r

i

+^2

v

C

r m

r :=4. 2

r :=17. 1

C :=11.

C :=0.

The parameters for the following circuit are:

I. Define the Situation

ORIGIN := 1

C:\JLAW\CLASSES\S07 ECE 504

\HANDOUTS\Small Signal

\s35b.mcd

page 1 of 2 April 16, 2007

ECE 504 Special Topics Power System Stability S35b

IV. Determine the Eigenvalues and Eigenvectors

λ := eigenvals A( ) λ 1 = −0.022 λ 2

φ 1 eigenvec A λ 1

2 eigenvec A λ 2

:= ( , ) φ augment φ

1 φ 2

− 1

V. Transform to an Orthogonal Space

z0 := ψ ⋅v0 z

λ 1

VI. Solution v

( )t

φ 1 n, z n

⋅ e

λ n ⋅t

⋅

:= v 2

( )t

φ 2 n, z n

⋅ e

λ n ⋅t

⋅

0 50 100 150 200

v 1

( )t

v 2

( )t

C:\JLAW\CLASSES\S07 ECE 504

\HANDOUTS\Small Signal

\s35b.mcd

page 2 of 2 April 16, 2007

Power System Stability: Determining Eigenvalues and Eigenvectors for a Circuit, Study notes of Electrical and Electronics Engineering

Related documents

Partial preview of the text

Download Power System Stability: Determining Eigenvalues and Eigenvectors for a Circuit and more Study notes Electrical and Electronics Engineering in PDF only on Docsity!

A

A = ⋅

A C =

F

F = −

F =

C

C =

C =

C

C

r

i

v

v

r

r

i

+^2

v

C

C

C :=11.

C :=0.

ORIGIN := 1

IV. Determine the Eigenvalues and Eigenvectors

:= ( , ) φ augment φ

V. Transform to an Orthogonal Space

VI. Solution v