TRANSMISSION &
DISTRIBUTION
A Division of Global Power
POWER SYSTEM STABILITY CALCULATION TRAINING
D9
Aliti fL
T St bilit
D
ay
9
-
A
pp
li
ca
ti
on o
f
L
ong-
T
erm
St
a
bilit
y
July 16, 2013Prepared by: Mohamed El Chehaly
OUTLINE
2
OUTLINE
• Long-Term Stability in PSS®E
• Long-Term Frequency Stability
3
LONG-TERM STABILITY IN
PSS®E
PSS®E
Long
Term Stability
4
LONG-TERM STABILITY IN PSS®E
Long
-
Term
Stability
Si l ti ti i f
Si
mu
l
a
ti
on
ti
mes rang
i
ng
f
rom many
seconds to several minutes
The need to model additional effects not
normally considered in stability runs of
normally
considered
in
stability
runs
of
several seconds
Computer time requirements would be
excessive
excessive
Long
Term Stability
5
LONG-TERM STABILITY IN PSS®E
Long
-
Term
Stability
If simulation time is extended to several
d
secon
d
s
Tendency of loads to exhibit constant power
characteristics through tap changers
characteristics
through
tap
changers
Automatic switching of reactors and shunt
capacitors
Primary movers power changes through primary
speed control and/or AGC (automatic generation
control) and
excitation limiters
control)
and
excitation
limiters
Detailed modeled of load restoration mechanisms
and prime mover characteristics (boiler effects,
exhaust temperature effects on gas turbine…)
Extended Term Module
6
LONG-TERM STABILITY IN PSS®E
Extended
Term
Module
Additi l d l th t h t b
Additi
ona
l
mo
d
u
l
e
th
a
t
h
as
t
o
b
e
purchased
Includes the following:
Includes
the
following:
Augmentation of most equipment models
containing state variables to include an implicit
containing
state
variables
to
include
an
implicit
integration algorithm technique for use in
performing extended term simulations
Th bilit t h th i l ti ti t
Th
e a
bilit
y
t
o c
h
ange
th
e s
i
mu
l
a
ti
on
ti
me s
t
ep
during the simulation
Several additions to the model library
Several
additions
to
the
model
library
On
load Tap Changer OLTC1
7
LONG-TERM STABILITY IN PSS®E
On
-
load
Tap
Changer
OLTC1
Mdlf th t f t dj t t
M
o
d
e
l
f
or
th
e
t
rans
f
ormer
t
ap a
dj
us
t
men
t
s
to help control system voltage
Two main components:
Two
main
components:
Voltage sensor: if the voltage input is out of the
specified bandwidth, the control will operate after
specified
bandwidth,
the
control
will
operate
after
the time delay has been exceeded
Time delay circuit: enables the transformer to
tlth lt iti thtitf
correc
t
on
l
y
th
ose vo
lt
age var
i
a
ti
ons
th
a
t
ex
i
s
t
f
or
longer than a preset time
On
load Tap Changer OLTC1
8
LONG-TERM STABILITY IN PSS®E
On
-
load
Tap
Changer
OLTC1
Ti d l 30 d
Ti
me
d
e
l
ay =
30
secon
d
s
On
load Tap Changer OLTC1
9
LONG-TERM STABILITY IN PSS®E
On
-
load
Tap
Changer
OLTC1
MdlOLTC1t i l l
M
o
d
e
l
OLTC1
t
yp
i
ca
l
va
l
ues
On
load Phase Shifter OLPS1
10
LONG-TERM STABILITY IN PSS®E
On
-
load
Phase
Shifter
OLPS1
Mdlf th t ti t ft
M
o
d
e
l
f
or
th
e au
t
oma
ti
c movemen
t
o
f
t
aps
on phase-shifting transformers to control
the power flow
the
power
flow
Same two components as OLTC1
Same
two
components
as
OLTC1
Only difference is that the input is real
Only
difference
is
that
the
input
is
real
power instead of voltage
On
load Phase Shifter OLPS1
11
LONG-TERM STABILITY IN PSS®E
On
-
load
Phase
Shifter
OLPS1
M d l OLPS1 t i l l
M
o
d
e
l
OLPS1
t
yp
i
ca
l
va
l
ues
Maximum Excitation Limiters MAXEX1
12
LONG-TERM STABILITY IN PSS®E
Maximum
Excitation
Limiters
MAXEX1
Di dt ttth tfild
D
es
i
gne
d
t
o pro
t
ec
t
th
e genera
t
or
fi
e
ld
with automatic excitation control from
overheating due to prolonged
overheating
due
to
prolonged
overexcitation
Overexcitation
can be caused either by a
Overexcitation
can
be
caused
either
by
a
failure of a component of the voltage
regulators of an abnormal system
condition
Maximum Excitation Limiters MAXEX1
13
LONG-TERM STABILITY IN PSS®E
Maximum
Excitation
Limiters
MAXEX1
I ti h t i ti f MAXEX1
I
nverse
ti
me c
h
arac
t
er
i
s
ti
cs o
f
MAXEX1
Maximum Excitation Limiters MAXEX1
14
LONG-TERM STABILITY IN PSS®E
Maximum
Excitation
Limiters
MAXEX1
Bl k Di f MAXEX1
Bl
oc
k
Di
agram o
f
MAXEX1
Maximum Excitation Limiters MAXEX1
15
LONG-TERM STABILITY IN PSS®E
Maximum
Excitation
Limiters
MAXEX1
M d l MAXEX1 t i l l
M
o
d
e
l
MAXEX1
t
yp
i
ca
l
va
l
ues
Steam Turbine and Boiler TGOV5
16
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Rt tiiht
R
epresen
t
s governor ac
ti
on, ma
i
n, re
h
ea
t
and low-pressure effects, including boiler
effects
effects
Can handle any mode of control including
Can
handle
any
mode
of
control
including
coordinated, base, variable pressure and
co
nv
e
n
t
i
o
n
a
l
co e t o a
Steam Turbine and Boiler TGOV5
17
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Gdl
G
overnor mo
d
e
l
Similar to IEEEG1 model
Valve has rate limits as well as minimum and
Valve
has
rate
limits
as
well
as
minimum
and
maximum limits
Steam flow is
p
ro
p
ortional to the
p
roduct of the
pp p
throttle pressure and the valve area
Proper selection of time constants and gains
allows the modeling of the
reheater
and
allows
the
modeling
of
the
reheater
and
intermediate and low pressure turbine effects
Steam Turbine and Boiler TGOV5
18
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Fl dbil dl
F
ue
l
an
d
b
o
il
er mo
d
e
l
s
Drum pressure (P
D
) is proportional to the integral
of steam generation less steam flow out of the
of
steam
generation
less
steam
flow
out
of
the
boiler
Throttle pressure (P
T
) is equal to drum pressure
less a pressure drop across superheaters and
steam leads
The pressure drop varies as square of steam flow
The
pressure
drop
varies
as
square
of
steam
flow
and with density of steam
The pressure drop coefficient is shown to be a
function of boiler pressure
Steam Turbine and Boiler TGOV5
19
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Steam Turbine and Boiler TGOV5
20
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Ctiltl
C
onven
ti
ona
l
con
t
ro
l
Boiler follow mode: changes in generation are
initiated by turbine control valves
initiated
by
turbine
control
valves
Boiler controls respond with necessary control
action upon sensing the changes in steam flow
and deviations in pressure
The turbine has access to the stored energy in the
boiler
boiler
Load changes within reasonable magnitudes with
fairly rapid response
Steam Turbine and Boiler TGOV5
21
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Tbi fll
T
ur
bi
ne
f
o
ll
o
w
Use of the turbine control valves to regulate boiler
pressure
pressure
Can be done without time delay
Boiler
p
ressure suffers virtuall
y
no transient
py
deviations
Stored energy in the boiler is not used
St fl th h th t bi d t bi
St
eam
fl
ow
th
roug
h
th
e
t
ur
bi
ne an
d
t
ur
bi
ne power
follows closely the amount of steam generation
The response of turbine power is considerably
The
response
of
turbine
power
is
considerably
slower than conventional control
Steam Turbine and Boiler TGOV5
22
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Coordinated optimal
Recognize the advantages of the conventional and
turbine follow modes
Compromise between the desire for fast response
Compromise
between
the
desire
for
fast
response
to load changes and the desire for boiler safety
and good quality control of steam conditions
New demand signal modified by frequency
deviation to develop the desired MW. Comparison
with actual out
p
ut develo
p
s MW erro
r
pp
Turbine-speed changer position is directed to
reduce a combination of MW error and pressure
t
error
t
o zero
Steam Turbine and Boiler TGOV5
23
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Vibl
V
ar
i
a
bl
e pressure
The pressure set point is proportional to MW
demand
demand
The pressure error between set point and actual
throttle pressure drives steam generation
No coupling occurs between the demand signal
and the turbine control valve position
Steam Turbine and Boiler TGOV5
24
LONG-TERM STABILITY IN PSS®E
Steam
Turbine
and
Boiler
TGOV5
Typical data for TGOV5
Underfre
q
uenc
y
Load Sheddin
g
25
LONG-TERM STABILITY IN PSS®E
qy g
Models (LDSH)
LDSH type models
LDSH
type
models
LDSHBL: loads at a specific bus
LDSHOW: loads with a specific owner
LDSHOW:
loads
with
a
specific
owner
LDSHZN: loads in a specific zone
LDSHAR: loads in a specific area
LDSHAL: all loads
Represent solid-state type load-shedding
relays based on low frequency
Disconnect either a fraction of load or sets
fl t it h li it
fl
ags
t
o sw
it
c
h
li
nes, capac
it
ors…