New PowerWorld Modal Analysis Tools€“Fast Fourier Transform (FFT) and modal analysis using a...

[email protected]://www.powerworld.com

2001 South First StreetChampaign, Illinois 61820+1 (217) 384.6330

2001 South First StreetChampaign, Illinois 61820+1 (217) 384.6330

New PowerWorld Modal Analysis Tools

Tom OverbyeJune 19, 2018

2© 2018 PowerWorld Corporation

Aside: Synthetic Grids


• PowerWorld Dynamics Studio (DS) provides an interactive simulation environment for doing transient stability level simulations

• It can be run either stand alone, or as a server as part of a multi‐user simulation

• Input cases are pwb/pwd• It can be also used as aC37.118 data source andis currently being updatedto support DNP3 control

Aside: PowerWorld Dynamics Studio


DS Interactive Example


• Frequency domain techniques can be quite helpful in providing information about power system dynamic performance

• With version 20 PowerWorld includes a growing array of tools– Fast Fourier Transform (FFT) and modal analysis using a variety of methods

• Tools are available both from transient stability and from the case info displays

• Goal is to provide insight into the power system results, either from studies like transient stability or from measurements (e.g., PMUs)

Overview


• Small signal analysis has been used for decades to determine power system frequency response– It is a model‐based approach that considers the properties of a power system linearized about an operating point

– PowerWorld Simulator does single‐machine, infinite bus (SMIB) small signal analysis

• Measurement‐based modal analysis determines the dynamic properties of a system– Input can either be measurements from PMUs or transient stability results

Small Signal Analysis and Measurement‐Based Modal Analysis


• Ring‐down analysis seeks to determine the frequency and damping of key power system modes following some disturbance

• There are several different techniques, with the Prony approach the oldest (from 1795)

• Regardless of technique, the goal is to represent the response of a sampled signal as a set of exponentially damped sinusoidals (modes)

Ring‐down Modal Analysis

( ) cosi

qt

i i ii 1

y t Ae t

Damping (%) i2 2i i

100


Movie of 0.611 Hz ModeKeep in mind the mode data is being extracted from the full system response


• PowerWorld has implemented several modal analysis techniques– Variable Projection Method (VPM); the VPM was first applied to power systems at UW‐Madison through BPA funding

– Matrix Pencil Method (MPM); the MPM is the first step in the VPM, but can be used independently

– Dynamic Model Decomposition (DMD); DMD is fast, but requires multiple signals

• For all, computation increases substantially with the number of sample points

PowerWorld Modal AnalysisTechniques


• Our goal is to make modal analysis easy to use, and easy to visualize the results

• Goal is to provide a tool that could be used with either transient stability results or actual system signals (e.g., from PMUs)

• Two ways to access in PowerWorld– On the Transient Stability Analysis form left menu, Modal Analysis (right below SMIB Eigenvalues)

– By right‐clicking on a transient stability or plot case information display, and selecting Modal Analysis Selected Columns or Modal Analysis All Columns

Modal Analysis in PowerWorld


• A short fault at t=0 gets the below three generator case oscillating with multiple modes (mostly clearly visible for the red and the green curves)– CaseB3_CLS_3Gen_Damped

Modal Analysis: Three Generator Example

GENCLS

slack

GENCLS X=0.2

X=0.2 X=0.2

GENCLS

Bus 1 Bus 2

0.00 Deg 3.53 Deg1.0000 pu1.0500 pu

-3.53 Deg 1.050 pu

200 MW 0 Mvar

Bus 3

54.543.532.521.510.50

60.0100

60.0090

60.0080

60.0070

60.0060

60.0050

60.0040

60.0030

60.0020

60.0010

60.0000

59.9990

59.9980

59.9970

Speed_Gen Bus 1 #1 Speed_Gen Bus 2 #1 Speed_Gen 3 #1


• Run the transient stability for 5 seconds• One way to do modal analysis is on the Transient Stability Display select Modal Analysis, then Open Modal Analysis Form to display the Modal Analysis Form, load the data from the Gen_Speed Plot and click Do Modal Analysis– This does modal analysis simultaneously for all three generator speed curves (signals)

• Alternatively, select Results from RAM, view just the generator speed fields, right‐click and select Modal Analysis All Columns

Simple VPM Three Generator Example


Transient StabilityModal Analysis Page

Key results are shown in the upper‐right of the form. There are two main models, one at 2.03Hz with 1.7% damping, and one at 1.51 with 1.1% damping. The bottom portion of the display provides a summary of how well each signal was matched, and by right‐clicking on the signal, provides more details


Transient StabilityModal Analysis Page: Some Key Fields

When used with case infodisplays the data source is the existing data loaded from the case info

Select time and calculation method. Best to select the start time after the last event. The Maximum Hz field determines the highest frequency thatcan be determined. Higher values resultin more computation

Select signals to include in determining modesand the signals to include in the reproduced results

Right‐click on signal to view its dialog


• The Signal Dialog provides details about each signal, including its modal components and a comparison between the original and reproduced signals (example for gen 3)

Three Generator Example: Signal Dialog

PWDVectorGrid Variables

Time (Seconds)543210

Valu

es

1.00006

1.000055

1.00005

1.000045

1.00004

1.000035

1.00003

1.000025

1.00002

1.000015

1.00001

1.000005

Original Value Reproduced Value


• Assume the system is run with no disturbance for two seconds, and then the fault is applied– The incorrect approach would be to try to match the entire signal; rather just match from after the fault

Caution: Setting in Time Incorrectly Can Result in Unexpected Results!



Valu

es

1.000065

1.00006

1.000055

1.00005

1.000045

1.00004

1.000035

1.00003

1.000025

1.00002

1.000015

1.00001

1.000005

1

0.999995




Valu

es

1.00006

1.000055

1.00005

1.000045

1.00004

1.000035

1.00003

1.000025

1.00002

1.000015

1.00001

1.000005


Requiredten modes! Just three

modes


• The individual modes (or any combination) can also be viewed

Three Generator Example: Looking at Selected Modes

Allows theremoval of the detrend

Allows inclusionof selectedmodes in thereproducedsignals

Select to updatethe reproducedsignals

View the reproducedsignals with just theselected modes


Three Generator Example: Looking at Selected Modes

PWFullMatrixBasicGrid Variables

Time (sec)543210

Valu

es

0.000010.0000090.0000080.0000070.0000060.0000050.0000040.0000030.0000020.000001

0-0.000001-0.000002-0.000003-0.000004-0.000005-0.000006-0.000007-0.000008-0.000009-0.00001

Gen Bus 1 #1 Speed Gen Bus 2 #1 Speed Gen 3 #1 Speed

PWFullMatrixBasicGrid Variables

Time (sec)543210

Valu

es

0.000120.000110.0001

0.000090.000080.000070.000060.000050.000040.000030.000020.00001

0-0.00001-0.00002-0.00003-0.00004-0.00005-0.00006-0.00007-0.00008-0.00009-0.0001

-0.00011

Gen Bus 1 #1 Speed Gen Bus 2 #1 Speed Gen 3 #1 Speed

1.51 Hz Mode: Generators1 and 2 are In Phase

2.03 Hz Mode: Generators2 and 3 are In Phase


• The magnitude and angle of the contribution of a mode in each signal can be viewed by right‐clicking on the desired mode

Mode Analysis Mode Details Dialog

Right‐click and selectShow Dialog

Notice for the 2.03 Hz Modethe bus 2 and 3 generatorsare in phase


• This a 22,000 bus case with 8400 substations. Contingency is the double Palo Verde outage

• Goal is to provideinsight into thesystem response

• Focus is on beingable to handlemany signals,which requiresvisualization

Larger Case Example

Figure shows theaverage frequencyfor all the substations


• With one signal used (sub 18004 freq) to get the modes, there are four: 0, 0.029, 0.21, 0.42Hz

Modal Analysis With Many Signals: The Best and The Worst



Valu

es

60

59.99

59.98

59.97

59.96

59.95

59.94

59.93

59.92

59.91

59.9

59.89

59.88

59.87

59.86

59.85




Valu

es

60.03

60.02

60.01

60

59.99

59.98

59.97

59.96

59.95

59.94

59.93

59.92

59.91

59.9

59.89

59.88

59.87

59.86

59.85


Best Match Worst Match

The robustness of this process can be quantified by looking at both the averagecost function and the maximum over all 8400 signals (0.008 and 0.028 here)


• The modal analysis can be improved by including more signals in the calculation of the modes. Yet only a small number need to be included

• For example, by just adding the signal with the highest cost function we now get a total of five modes and reduce average cost function from 0.008 to 0.0054, with the largest value reduced from 0.028 to 0.02

• The Iterative Matrix Pencil optimizes this process by iteratively adding more signals

Improving Modal Analysis With Many Signals


• This approach iteratively adds the signal with the highest cost function– Usually about ten gives quite good results; this gives 8 modes, and reduces the average error to 0.0025 and the maximum to 0.0088

Iterative Matrix Pencil Approach


• The below figures should an average signal reproduction and the worst signal reproduction

Modal Analysis With Many Signals: The Average and The Worst



Valu

es

60

59.99

59.98

59.97

59.96

59.95

59.94

59.93

59.92

59.91

59.9

59.89

59.88

59.87

59.86

59.85




Valu

es

60

59.99

59.98

59.97

59.96

59.95

59.94

59.93

59.92

59.91

59.9

59.89

59.88

59.87

59.86

59.85


Average Match Worst Match


• Modal analysis can be quickly done on a large number of signals– Computationally is an O(N3) process where N is the number of sample points and varies linearly with the number of included signals

– Number of sample points is automatically determined from the highest desired frequency (The Nyquist‐Shannon sampling theory requires sampling at twice the highest desired frequency)

– Determining how signals are manifested in modes is extremely fast

PowerWorld Modal Analysis: Takeaways So Far


Mode Details

Lots of detailsare easily available, including being able to visualizeindividual modes


Visualization of 0.611 Mode

Gr

an

d

Co

ul

ee

Mesq ui te Powe r

McNary

C o p p er M o u n t

a in

Chi

ef

Jos

eph

Drew

Pinnacle Peak APS

Avenue/Kingbird

The Geysers

Br

idg

e R

ive

r T

erm

in

al

Klondike

Wind Farm

Brilliant

C l a rk ( N E V P )

Powell River Dam

Ro

ck

y

Re

ac

h

Janet

Priest

Rapid

s

Devers

Como Lake

Colo rado Ri ver

The Dalle

s Ph

Va

nc

ou

ve

r I

sla

nd

T

er

min

al

Cholla

Randolph

Mir

a L

om

a

Kyrene

Bonn

eville

Keephills

Tracy & Clark M

ountain

California Valley Solar Ranch

Dunsmuir

Clayburn

Semitropic

Su

nd

an

ce

Su

mm

erv

ie

w

Win

d

Fa

rm

Harew

ood

An

ac

on

da

M

ill

Cre

ek

Lethbridge

Wheatland

I vanpah

Avola

Empress

Ri

din

g R

ec

ei

vin

g

Pawnee

Newark

San J uan 345

P r es id e

n t e J u

a rez ( R

o s a rit o )

Freder

ickson (PS

PL)

Rossdale

Colst

rip

F o u r C o r n e rs ( A Z P S )

Nicola

Moss Landing (DUENNO)

Yu cca

EC O

Vale

mou

nt

Casper

Calpeak Power Panoche No. 2

Gonder

CSS

St

ate

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Win

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Pr

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Wa

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gt

on

Hi

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Va

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Co

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Natal

Walnut Energy Center [Turlock]

Sc

ot

for

d

Co

ge

n

Keswick

Calpeak Vaca Dixon No. 1

Me

dic

ine

Ha

t (

CM

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Bl ack Me sa

Belridge 1A

Tale ga

Revelstok

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Gates Peaker

Cranbro

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Ca

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St

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Lib

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Wa

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Wild

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Proje

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es

twa

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En

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P

roje

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McCall

Vernon Terminal

Ju

dit

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Ga

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Au

to

Kerr

Santa Clara

Olympia

Bi

llin

gs

-

Ri

mr

oc

k

Midway

Broad

view

Table Mt.

Snohomish

Rattlesnake

Fre

do

nia

(P

SP

L)

Golden

Yavapai

Hopkins R

idge

Prospect 1

Mica B

at

tle

Riv

er

Teckl

a

Falcon

Gold River

Bell

Barriere

Naug

hton

Goshen

Edward Hyatt

Hayden

Vestal

Ca

ny

on

Fe

rr

y

Lower G

ranite

Great Falls

Cherokee (PSCO)

Hundred Mile House

Lower

Monu

ment

al

Mountai

n Home

Br

az

ea

u H

yd

ro

BEN

Thermo Cog

en Fort Lupton

Weed Junction

Im

p

eri

al

Va

lle

y

Ge

ot

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rm

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Or mes a 1 E F ac ili ty

Hope

French

C i m a r r o n

Fairm

ont

Machacek

Riverga

te

Balzac Cogen

Round Bu

tte

Granby PP

Drum 1Summit

Glenrock

Robert C Kirkwood

Alamosa

DS

RawhideHappy Jack W

ind Project

Ra

th

dr

um

We st Me sa

Drake

Bridg

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Ca

sc

ad

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He

rit

ag

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ow

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Pa

rk

Cassia

Si lver King

Yellow

tail

Lamar

Bl

ac

ksp

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Rid

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Creek I

Verde

G le n Ca nyo n

Pit 1

Little G

oose

Ph

Lon

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Osage (

BKH)

H il lto p

Misso

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COB Energy Facility

Santiam

Wild Horse Creek

Burlington IC (BURML)

Panoche (Los Banos Peaker)

Twin Falls

Fort Churchill

Fla

mi

ng G

org

e

Brownle

e

South Cut B

ank

Ashton

Creek

SEGS

VII

Craig (TSG

T)

Big Creek 1

Bickerdike

Hard

in Aut

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So

ut

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Bu

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Lo

we

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ak

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Woss

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Dworsha

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Humboldt

Tr

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Wi ll ard

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A lamo

Goleta

Peter

son

Fuller

Rainbow

Nuc la

A.A. Lambert

Jordan R

iver

Pr eac her CanyonSp rin gervi l le

Guad al upe

Saltery

Bay

Headgate Rock

La Junta

Humboldt Bay

Morro Bay

Miracle Mile

Malin

Th

re

e

Riv

ers

New De

nver

Kelly Lak

e

Sandia

San Luis Valley

Primrose

Dixonville

BLM West

Blythe 2

Toketee Falls

Ke rmac

Al

b N

ew

s

Ra

ttl

es

na

ke

Sw

itc

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Clearwa

ter

Aberde

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Buffa

lo Bill

Luning

Condo

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Port McN

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Rowley

Mil

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AB)

Quartz

Stettler

Ponderosa

Nakusp

Cleveland Avenue

Hyder

Lost R

iver

Cedar Mountai n

Laramie River

Mor enc i

Kinport

Palisa

des (U

SBRID)

Cascade (TAUC)

Sp

ion

Ko

p RE

A

Halsey

Ross Dam

Riverto

n

Sheerness

Muss

elshe

ll

Summit

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HGTN W

IND

Barrick

Winston Ridddle

Whitn

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Anaconda

California

Monitor

Black Dog

Bonanza

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Upalco

High River

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Clearwa

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Diablo Canyon

Newell

Coronado

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Spillim

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Arvada

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Fort Bragg Western Wood Produc

McGiness

North Valmy

Havre

(WAPA)

Hazelton B Hydro

Cove

Langl

ey

ET A

Lumby No. 2

N M W

i n d E n e r g y Ce n te r

Jenner

R ed Mesa

Hu

ng

ry

Ho

rse

Hopkins

Hansman

Hill Top

Nightingale & Ngp

Conda

Painte

r

Nye R

EA

Ri

cha

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on

Cou

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So corro

So

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Bagdad

Ba

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Del Norte

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Walsenburg

Trinity (U

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Ca sa Di ab lo

Capitan

Willingdon

C hurch R ock

Centr a

Carter M

ounta

in

Bole

Tiber

Ta os

Bi

gh

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Da

m

Lincoln

El ep han t B utte

Elk Creek

Shushartie Wind Farm

Applegate Dam

Fort Rock Compensation Station

Roger s

Tract Ca

LaGra

nde

J.C. Boyle

I ron Mounta in

TUNGSTEN

Morrow Point

Eagle

Tap

Cadomin

Dersser Min Mtr'G

Lake

Fork

Redbox

Lewis

Pine

Creek

Springfield (ARPA)

Mile Hi

Windish

ar

Clatsop

Upton

Carlin (NEWM

NTM)

Cascade (IDPC

)

Vermilion

Buffa

lo

Toledo

Burdett

Winthro

p

Hanly Road

Bayfi el d

D os Co nd ado

Sheri

dan

Seventy Mile House

Pt.Arena

Fields

Big G

rassy

Ramon

Gal leg os

East Jac

kson

Minnkhat

Lampo

Ta

ma

ris

k

J ac k a s s F l a

t s

Great D

ivide

Quarry Gypsum

Oreana

Clipper

Ca

ve

nd

is

h

Ta

p

CheneyPlaza Sub

Duran

Hines

West Hill

Belle Fourche

Macks In

n

La Ja ra

Joes

Ukiah

Pinon Canyon

S t o c ka d e W

a sh

Hask

ill Harlem

Happy Ca

mp

Leupp J ct Sub

Mcdermitt

Tybo

Goldfield

Silver

Gasquet

Buffalo

Head

Beatt y

Dunn S i ding

But

ler

C

ree

k

Morison

Limestone

Cedar Cree

k

C aba ll o

Devils Lake

Bl ack water

Catlow

Riley

Se li gma n

Rudyard

Ro

un

du

p A

uto

Hoback

Podalak

Pisgah

Arlingto

n

Longhous e Val ley

Monarch

Mile

s

Cit

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GT

Malta

Linden

Visualization of the magnitude and angle of the mode at different locations

Gran

d Cou

lee

Mesq ui te Powe r

McNa

ry

Chief Joseph

Dr ew

Pi nn acl e Pea k AP S

Avenue/Kingbird

The Geysers

Bridge River Te

rmin

al

Klondike Wind

Farm

Brilliant

Powell Rive

r Dam

Rocky

Rea

ch

Janet

Pries

t Rapid

s

Dev ers

Como Lake

Colo r ado Rive r

The Dalles Ph

Va

nc

ou

ve

r I

sla

nd

T

er

min

al

C hol la

Rand olph

Ky rene

Bonneville

Tracy & Clark M

ountain

California Valley Solar Ranch

Duns

muir

Clayburn

Semitropic

Su

mm

erv

ie

w

Win

d

Fa

rm

Harewood

An

ac

on

da

M

ill

Cre

ek

Lethbridge

Wheatland

I vanpah

Avola

Empress

Pawnee

Newark

San J uan 345

P r e sid e n t

e Ju a re

z ( Ro s a r

it o )

Frederickso

n (PSPL)

Colst

rip

F o u r C o r n e rs ( A Z P S )

Nicola

Moss Landing (DUENNO)

Yucca

ECO

Vale

mou

nt

Casper

Calpeak Power Panoche No. 2

CSS

St

ate

lin

e

Win

d

Pr

oje

ct

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Wa

sh

in

gt

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Highland

Valley Coppe

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Natal

Walnut Energy Center [Turloc

k]

Keswick

Calpeak Vaca Dixon No. 1

Me

dic

ine

Ha

t (

CM

H)

Blac k M es a

Belridge 1A

Ta lega

Revelstok

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Gates Peaker

Cranbrook

Mcleese Capacito

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Tracy

G il a Ri ve r P ower Stat i on

Libby

- PAC

IF

Logan C

anyon

ARD

Vall e y

Co o l Wa ter

W

ild

Ho

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P

ro

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Su

mm

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stw

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Pro

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Olympia

Billing

s - R

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No

va

J

of

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C

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Midway

Broad

view

Table Mt.

Snohomish

Rattlesnake

Fre

do

nia

(P

SPL

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Golden

Ya vap ai

Hopk

ins Ri

dge

Prospec

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ica Battle River

Teckla

Falcon

Gold River

Bell

Barriere

Naug

hton

Goshen

Edward Hyatt

Hayden

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Cany

on Ferr

y

Lowe

r Gran

ite

Mo

un

ta

in

Win

d

En

er

gy

C

en

te

r

Cherokee (PSCO)

Hundred Mile

House

Lowe

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menta

l

Mountain Hom

e

Brazeau Hydro

BEN

Thermo Cog

en Fort Lupton

Weed Junction

Im

pe

ria

l V

al

ley

G

eo

th

er

ma

l

Or me s a 1 E Fa cili ty

Hope

French

Fairmont

Rivergate

Balzac Cogen

Round Bu

tte

Granby PP

Drum 1 Summit

Glenrock

Robert C Kirkwood

Alamosa

DS

Rawhide

Happy Jack Wind Project

Rathdru

m

W es t Mesa

Drake

Bridge

r

Ca

sc

ad

e

He

rit

ag

e P

ow

er

Pa

rk

Cassia

Si l ver Ki ng

Yellow

tail

Lamar

Blackspring Ridge

Foote Cree

k I

V erde

G le n Ca nyo n

Pit 1

Little

Goos

e Ph

Long Lake

Osage (BKH)

Hi llt op

Misso

ula

Mossyr

ock

COB Energy Facility

Santiam

Wild Horse Creek

Burlington IC (BURML)

Panoche (Los Banos Peaker)

Twin Falls

Fort Churchill

Flaming Gor

ge

Brown

lee

Ashton

Creek

SE GS V I I

Craig (TSGT)

Big Creek 1

Hard

in Aut

o

South

Butt

e

Lower BakerW

oss

Elkford

Dwor

shak

Humboldt

Treasure

ton

W ill ard

Boise Bench

A lamo

Peters

on

Fuller

Rainbow

Nuc la

A.A. Lambert

Jordan R

iver

Pre ache r C an yonSpr ingervil le

Guadalupe

Saltery B

ay

Headgate Roc k

La Junta

Humboldt Bay

Morro Bay

Miracle Mile

Malin

Three

Rive

rs

New Denve

r

Kelly Lake

Sandia

San Luis Valley

Dixonville

BL M W

est

Blythe 2

Toketee Fa

lls

Ker mac

Ra

ttl

es

na

ke

Sw

itc

hy

ar

d

Clear

water

Aberd

een

Buffa

lo Bill

Luning

Condon W

indpowe

r LLC

Port McN

eill

Quartz

Stettler

Ponderosa

Nakusp

Cleveland Aven

ue

H yde r

Lost River

Cedar Mountai n

Laramie River

More nci

Kinport

Pa

lisa

de

s

(US

BR

ID

)

Cascade (TAUC)

Spion Kop

REA

Rifle Generating Station

Halsey

Riverto

n

Sheerness

Muss

elshe

ll

Summit

Taft

HGTN WIND

Barrick

Winston Ri

dddle

Bo

ze

ma

n

Ea

st

Ga

lla

ti

n A

uto

Whitn

ey

Anaconda

California

Monitor

Black Dog

Bonanza

Black P.

Leavitt

Upalco

High River

Wray

Pilot B

utte

Tua

na G

ulch

Win

d Pa

rk LLC

Clearwater

Zia

Diablo Canyon

Newell

C oron ado

Spillimacheen

Arvad

a

All ison

Gosh County

Fort Bragg Western Wood Produc

McGiness

North Valmy

Hazelton B Hydro

Cove

Langley

ETA

Lumby N

o. 2

N M W

i n d E n e r g y Ce n te r

Jenner

Red M esa

Hung

ry Ho

rse

Hopkins

Hansman

Hill To

p

Nightingale & Ngp

Conda

Paint

er

Nye R

EA

Soc or r o

South

Trona

Ba gd ad

Stillwater 1

Belle Creek

Del Norte

Yuma

Walsenburg

Trinity (U

SBRCA)

Casa Diablo

C api tan

Chur ch Rock

C entral

Carte

r Mou

ntain

Taos

Bighorn Dam

Lincoln

Elephant Butt e

Elk Creek


Applegate D

am

Fort Rock Compensation Station

R oge rs

Tract Ca

LaGrande

J.C. Bo

yle

I ron Mountain

TUNGSTEN

Eagle

Tap

Dersser Min M

tr'G

Lake Fo

rk

Redbox

Lewis

Pine

Creek

Springfield (ARPA)

Mile Hi

Windishar

Clatsop

Upton

Carlin (NEWM

NTM)

Cascade (IDP

C)

Buffalo

Toledo

Burdett

Winthr

op

Hanly Road

Bayfi el d

Dos Co nd ado

Sherid

an

Seven

ty Mile House

Pt.Arena

Fields

Big Gr

assy

Ramon

Gall egos

East Ja

ckson

Minnkhat

Lamp

o

Grea

t Divide

Quarry Gypsum

Oreana

Clipper

Cavendish Tap

CheneyPlaza Sub

Dur an

Hines

West Hill

Belle Fourche

Macks Inn

La J ara

Joes

Ukiah

Pinon Canyon

Hask

ill

Happy Ca

mp

Le upp J ct S ub

Mcdermitt

Tybo

Goldfie

ld

Silver

Gasquet

Buffalo

Head

Dunn Si d ing

Butle

r Cree

k

Morison

Limestone

Cedar Creek

Caballo

Devils Lake

Blackwat er

Catlow

Riley

Seli gman

Roun

dup A

uto

Hoback

Podalak

Arlingto

n

Lo ngh ou se Va ll ey

Monarch

Miles

City G

T

Li nd en

And, of course, there are many ways to visualize the values


• Just use the Mode Details Dialog to transfer values for a different mode to the Custom Float 1 and 2 fields

• Displays showthe 0.218 and0.348 Hz modes

Other Modes can be Quickly Visualized Using the Same GDV

Grand

Co u

lee

Mesq

uite P

ower

Mc N

a ry

Copp

er Mo

untain

Chie

f Josep

h

Pinna

cle Pe

ak AP

S

Avenu

e/King

bird

The G

eyse

rs

Bridge River Terminal

K lo nd ik e W

i nd F

arm

Brilliant

Kitimat

Clark

(NEV

P)

Powell River Dam

Ro cky

Re a

ch

In

te

rmo

un

ta

in G

en

era

ti

ng

Glenannan

Harbo

r Gen

eratin

g Sta

tion

Janet

Pr ies t R ap id s

Deve

rs

Como Lake

Color

ado Ri

ver

T he D

all es Ph

Vanco

uver Islan

d Termina

lCh

olla

Rand

olph

Mira L

oma

Kyren

e

Bon n

e vi lle

Keephills

acito

r Sta

tion

Tr

ac

y

& C

lar

k M

ou

nt

ain

Ca

lif

or

nia

V

all

ey

S

ola

r

Ra

nc

h

Dunsmuir

Clayburn

Semi

tropic

Sundance

Summerview W

ind Farm

Harewood

MKL

Anaco

nda Mill Cre

ek

Lethbridge

Wheatland

Williston

Ivanpa

h

Avola

Empress

Kemano

a

Newa

rk

San J

uan 3

45

o)

Frederi ckso

n ( PSPL )

Rossdale

Colstrip

Four

Corne

rs (AZ

PS)

Nicola

Mo

ss

La

nd

in

g

(DU

EN

NO

)

Valemount

Ca

lp

ea

k P

ow

er

Pa

no

ch

e

No

.

2

Gond

er

CSS

St ateli ne Wi nd Pr ojec t - Wa shin gton

Hig

hland V

alley Co

pper.

Natal

Wa

lnu

t E

ne

rg

y

Ce

nt

er

[T

ur

loc

k]

Scotford Cogen

Medicine Hat (CMH)

Black

Mesa

Belrid

ge 1A

Taleg

a

wa

Revelstoke

Gates

Peak

er

Cranbrook

Mcleese

Cap

acitor S

tation

Tracy

Fort Peck

Statio

n

Libby - PAC

IF

ARD

Valley

Cool

Water

Wild

Hors

e Pro ject

Santa

Clar

a

Su mmit /W

e stw ar d E ne rgy Pro jec t

McCa

ll

Vernon Terminal

Judith

Gap

Auto

Bloom

ington

Kerr

Santa

Clara

Oly

mpia

Billings - Rim

rock

Nova Joffre Cogeneration

Broadview

Snohomish

Hicko

ry

Pinto

Fredonia (PSPL)

Golden

Yavap

ai

Hopk

ins Ridge

P rospect 1

Mica

Battle River

T eckl a

Falco

n

Gold River

Bell

Barriere

Pa

ro

wa

n (

Ce

nt

er

Cre

ek

)

Vesta

l

Canyo

n Ferry

Low

e r Gran

ite

Great Falls

Hundred Mile House

L ow

er Mo

num

en tal

Mo

un

ta

in

Ho

me

Brazeau Hydro

BEN

AES H

unting

ton Be

ach

We

ed

Ju

nc

tio

n

Impe

rial Va

lley G

eothe

rmal

Sturgeon (CUPCAN)

Facili

ty

Hope

Cimarr

on

Fairmont

Salmon Valley

Mach

acek

Riv e

r ga te

Balzac Cogen

Rou nd B utte

Drum

1

Summ

it

Ro

be

rt

C

Ki

rkw

oo

d

DS

Rathdrum

West M

esa

Cascad

e Heritag

e Powe

r Park

ilver

King

Y ellow

tail

Blackspring Ridge

Verde

e Prairie EcoPower Centre

Glen C

anyo

n

Li ttle Goo

se Ph

Long Lake

Hillto

p

Missoula

Mos s

y roc k

CO

B E

ne

rg

y

Fa

cil

ity

Sant ia

m

Edith Lake

Vanderhoof

Pa

no

ch

e (

Lo

s B

an

os

Pe

ak

er)

tGrain

Fort C

hurc

hill

Br ow nle e

South Cut Bank

Ashton Creek

SEGS

VII

Big C

reek 1

Bickerdike

Hardin Au

to

South B

utte

Lower Baker

Woss

Elkford

Dw

or shak

Willar

d

Boise Benc h

Golet

a

Peterson

Rainbow

Nucla

A.A. Lambert

Jordan River

Preach

er Ca

nyon

Sprin

gervil

le

Mitsue

Guad

alupe

Saltery Bay

Head

gate R

ock

Morro

Bay

Marguerite Lake

Hunt

er Pla

nt

Three R

ivers

New Denver

Kelly Lake

Quintette

ar Hill PowerElm

worth

Sand

ia

Primrose

Dixon ville

BLM W

est

Blythe

2

To ketee Fall s

Kerm

ac

Alb News

Rattlesnake Sw

itchyard

Clea

rwater

Abe rde

en

Buff alo Bill

Lunin

g

Con d

on Win d

po we

r LLC

Port McNeill

HR Milner (AB)

Hunt

ington

Q uar tz

Stettler

Pon derosa

Gr

an

d

Ju

nc

tio

n (

UT

E)

Nakusp

Clevela nd Avenue

er

Ceda

r Mou

ntain

Cascade (TAUC)

Spion Kop REA

Ha lsey

Ros s D

am

Riv erto n

Sheerness

Muss

elshell

Taft

H GTN WI ND

Barri

ck

Winston Rid ddle

McMillan

Bozem

an Eas

t Galla

tin Auto

Anac

onda

Califo

rnia

Monitor

Black Dog

Chevron

Black

P.

Milfor

d Sub

.

High River

P ilot Bu tte

Clearwater

Zia

Diabl

o Can

yon

Newell

Coron

ado

Indian

Sprin

gs

Spillimacheen

Ar va d a

Alliso

n

McGi

ness

North

Valm

y

Havre (WAPA)

Heart Lake

Co ve

La n gle y

ETA

Lumby No. 2

gyCe

nter

Jenner

Red M

esa

Equity Mining

Hung

ry Horse

Hansman

Hi ll To p

Kodiak

Ni

gh

tin

ga

le

& N

gp

Las V

egas

Nye R

EA

Richardson Coulee

Socor

ro

Bagd

ad

Barrhead

Stillw

ater 1

B ell e Cr eek

Del Norte

Casa D

iablo

an

Willingdon

Churc

h Rock

wn Lak

e Hydroelectric Plant

Burns Lake

Car ter M oun tain

Bole

Tiber

Taos

Bighorn Dam


Applegate Dam

Fo

rt

R

oc

k

Co

mp

en

sa

tio

n

St

at

ion

Roge

rs

L aGra nd e

J.C. Boy le

McElm

o Cre

ek

Isle Pierre

Iron M

ounta

in

TUNG

STEN

Morro

w Po

int

Eagle

Cadomin

De

rs

se

r M

in M

tr'

G

La ke F ork

Lewis

Pine C

reek

Wind

ishar

Clats o

p

Plamondon

Ca

rli

n

(NE

WM

NT

M)

C asca de (ID PC)

Swan Hill

Vermilion

Buff a lo

To ledo

Burdett

Wi nthro

pUpper Fraser

H anly Road

Bayfie

ld

S he ri da n

Seventy Mile House

Fie lds

Big Grassy

Galleg

os

Abajo

Jackas

s Flat

s

Qu

arr

y

Gy

ps

um

Orea

na

Saddle Hills

Clipper

Cavendish Tap

Duran

Hi nes

La Ja

ra

Ukia

h

Stocka

de W

ash

Haskill

Harlem

Happy Camp

Leupp

Jct S

ub

Mcde

rmitt

Tybo

Goldf

ield

Gasquet

Beatt

yDu

nn Si

ding

Butler Creek

Mor ison

Simone

Limestone

Devi ls

Lake

C atlowRiley

Seligm

an

Rudyard

Roun

dup Auto

Cotton R.E.A. (VLY)

Pisga

h

Utah-

Neva

da

Utah/

Neva

da

Hatch

High

Longh

ouse

Valley

Monarch

Miles

Cit y G

T

Malta

Linde

n

Grand Coulee

Mes q

uite P

owe r

McNary

Co

pp

er

M

ou

nta

in

Chief Joseph

Dre w

Pi

nn

ac

le

Pe

ak

A

PS

Aven

ue/Kin

gbi rd

The G

eys e

rs

Bridge River Terminal

wWind Farm

Brilliant

Kitimat

Clar k

( NE V

P)

Powell River Dam

Rocky Reach

Glenannan

Ha

rb

or

Ge

ne

ra

tin

g

Sta

ti

on

J anet

Priest Rapids

Deve

rs

Como Lake

Colo r

ado R

iver

Vancouver Is

land Terminal

Choll

a

Rand

o lph

Mira

Loma

Kyren

e

BonnevilleKe

ephil l s

Kennedy Capacitor Station

Ca

lif

orn

ia

Va

lle

y S

ol

ar

Ra

nc

h

Dunsmuir

Clayburn

Semi

tr op ic

Sund

ance

Su

mm

er

vie

w

Wi

nd

Fa

rm

Harewood

MKL

An

aco

nda

M

ill

Cre

ek

L ethb

r idge

Wh eatlan

d

Williston

Ivanp

ah

Avola

Emp res

s

Long La

k

Kemano

Skeena

Pawnee

Newa

rk

Ju

are

z

(R

os

ar

ito

)

Fre

der

icks

on

(PS

PL

)

R ossd ale

Colstrip

Nicola

Mo

ss

La

nd

in

g

(DU

EN

NO

)

Yuc caEC

O

Valemount

Casper

Ca

lp

ea

k P

ow

er

Pa

no

ch

e

No

. 2

CSS

Highland Valley Copper.

Scotf

ord Co

gen

Medic

i ne H

at ( C

MH)

Black

Mes a

Belr id

ge 1A

Taleg

a

Telkwa

Revelstoke

Gat es

Peak

er

Mcleese Capacitor Station

Trac y

Gi

la

Riv

er

Po

we

r

St

ati

on

Libby - PACIF

ARD

Vall e

y

Cool

Wat er

Wild

Ho

rse

Pr

oje

ct

McCa

ll

Vernon Terminal

Kerr

San ta

Cla r

a

Olympia

Billings - Rimrock

Nova Jo

ffre C og

enerat

io n

Midw

ay

Broadview

Snohomish

Rattlesnake

Fredonia (PSPL)

Yava

pai

Hopkins Ridge

Mica

Battl e

Rive

r

Teckla

Gold River

Bell

Barriere

Hayden

Ves ta

l

Lower Granite

Cherokee (PS

CO)

Hundred Mile House

Low

er

Mo

nu

me

nta

l

Brazea

u Hyd ro

BEN

AE

S

Hu

nti

ng

to

n B

ea

ch

Thermo Cogen Fort Lupton

Im

pe

ria

l V

all

ey

Ge

ot

he

rma

l

Sturg eo

n (CU

PCAN

)

Or

me

sa

1

E

Fa

cili

ty

Hope

French

Salmon Valley

We sle

Rivergate

Balz a

c Cog

en

Granby PP

Drum

1

Glenrock

Ro

be

rt

C

Ki

rkw

oo

d

Alamosa

DS

Rawhide

Happy Jack Wind Project

Rathdrum

Drake

Bridger

Cascade Heritage Pow

er Park

Silv er

Kin g

Yellowtail

Lamar

Blac k

s pri ng

Ridg

e

Foote Creek I

Ver de

G rand e P

rairie

E coPow

er Ce

ntre

Glen

Canyo

n

Little Goose Ph

Long Lake

Osage (BKH)

Hillt o

p

Missoula

Mossyrock

Edith

L ake

Wild Horse Cree

k

Burlington IC (BUR

ML)

Vanderhoof

Pa

no

ch

e

(Lo

s B

an

os

P

ea

ke

r)

Prince Rupert Grain

Flaming Gorge

Ashton Creek

SEGS

VII

Craig (TSGT)

Big C

reek

1

Bi cke

rdike

Hardin Auto

South Butte

Lower Baker

Woss

E lkf o

rd

Dworshak

Golet

a

Peterson

Fuller

Rainbow

Jordan River

Pr

ea

ch

er

Ca

ny

on

Mi tsue

Saltery Bay

Head

g ate

Rock

La Junta

Mor ro

Bay

Miracle Mile

Marguer

i te La

ke

Three Rivers

New Denver

Kelly Lake

Quintette Popla

r Hi ll

Powe

r

El mwort

h

San Luis Valley

Primrose

BLM

West

Blyt h

e 2

A lb New

s

Ra

tt

les

nak

e

Sw

itch

ya

rd

Clearwater

Aberdeen

Buffalo Bill

Port McNeill

HR Mi lne

r (AB)

Stettl e

r

Grand Junction (UTE)

Nakusp

Hyde

r

Ce

da

r

Mo

un

ta

in

Laramie

River

ci

Cas ca

de (T

AUC)

Rifle Generating Station

Ross Dam

Riverton

Sheer

n ess

Musselshell

Summ

it

Taft

McMilla

n

Bo

ze

ma

n

Ea

st

Ga

lla

ti

n A

uto

Monitor

Blac k

Dog

Bonanza

C hevro

n

Black

P .

Upalco

High

River

Wray

Pilot Butte

Clearwater

Diabl

o Can

yon

Newe

l lCo

r onad

o

I ndia

n Sp r

in gs

Arvada

Gosh County

Heart

Lake

Lumby No. 2

Jenner

Equity Mining

Hungry Horse

Hopkins

H ansman

Hill Top

Kodia

k

Nye REA

C

South Trona

Bagd

ad

Barrh

ead

Belle Creek

Yuma

Walse

nburg

Cas a

Diab l

o

Wi ll ingd

on

Van Buren

Brown Lake Hydroelectric Plant

Burns Lake

Carter Mountain

Bi gh orn

Dam

Lincoln


Roge

rs

Gladstone

Tract Ca

Isle Pierre

I ron

Moun

tain

Morrow Point

Eagle

Tap

C adomin

Redbox

Pine Creek

Springfie

ld (ARPA)

Windishar

Clatsop

Upton

Pl amo ndo

nSwa n H

i l l

V ermil io

n

Buffalo

Bur d

et t

Winthrop

Upper Fraser

Sheridan

Seventy Mile House

Pt.Ar

ena

Ramon

Minnkhat

Jacka

s s F la

t s

Great Divide

Saddl

e Hil ls

C li ppe r

Caven di s

h Ta p

Chen

ey

Plaza Sub

West Hill

Belle Fourche

Joes

Pinon Canyon

St

oc

ka

de

Wa

sh

Haskill

Leup

p Jct

Sub

Buffalo Head

Beatt

y

Br

Dunn

S id in

g

Butler Creek

Si mon

e

Li mest

o ne

Seli g

man

Roundup Auto

Podalak

Pisg a

h

Arlington

H ig h

Lo

ng

ho

us

e

Va

lle

y

Miles City GT

L inde

n


Movie of 0.611 Hz ModeKeep in mind the mode data is being extracted from the full system response

Date post:	25-Apr-2020
Category:	Documents
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New PowerWorld Modal Analysis Tools€“Fast Fourier Transform (FFT) and modal analysis using a...

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