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By
Prof. Dr. Mohamed EL-Shimy
http://shimymb.tripod.com
12016(2)
 EL-Shimy M. Dynamic Security of Interconnected
Electric Power Systems - Volume 1. Germany:
Omniscriptum Gmbh & Company Kg.; 2015.
 My google scholar page: https://goo.gl/4ag0Dg
22016(2)
Basic References
 L. H. Fink and K. Carlsen, “Operating Under Stress
and Strain,” IEEE Spectrum, Vol. 15, pp. 48–53,
March 1978.
 Jizhong Zhu, “Optimization Of Power System
Operation”, John Wiley & Sons, 2009
 A. J. Woods and B. F. Wollenberg, Power
Generation, Operation, and Control, 2nd ed., John
Wiley & Sons, 1996.
32016(2)
 The system limits (or constraints) define the normal
operation of power systems.
42016(2)
Types of constraints
Equality
constraints :
h(x, u) = 0
Inequality
constraints :
g(x, u)  0
Other security
constraints
u is the vector
of
independent
or input
variables
includes
Voltage
magnitude of
PV buses i.e.
generator
buses,
Active power
of PV buses,
Transformer
tap setting,
and
Setting of
shunt VAR
compensators.
52016(2)
x is the
vector of
dependent
variables
includes
Slack bus
active
power,
Slack bus
reactive
power,
Reactive
power of PV
buses,
Voltage
phase angle
of PV buses,
Voltage
magnitude
of PQ (or
load) buses,
Voltage
phase angle
of PQ
buses, and
Line
loading.
62016(2)
The equality constraints h(x, u)
presents the typical load flow equations
i.e. the power balance constraints,
72016(2)
The inequality
constraints g(x, u)
represent the
system operating
constraints
82016(2)
Other
security
constraints
Static
security
constraints
All the equality and
inequality
constraints,
N-k criterion,
Reserve margin
Dynamic
security
constraints
Transient stability
Voltage stability
Frequency stability
N-k stability
92016(2)
Power system security is defined as the continuous ability of the
power system to keep all the system limits not violated with
minimum interruption to the supplied loads.
• The successful security system should
minimize the impact of disturbances on the
operation, economics, and power quality of
power systems.
• An acceptable system security level guarantees
the immunity of power system to disturbances
and makes the system defensive.
The main target of
the power system
security is to keep
the system intact
under normal and
disturbed
conditions.
Secure operation of power systems requires the integration of all
practices designed for keeping acceptable system operation when
components fail.
102016(2)
Security analysis
Static security or adequacy
• The static security considers the impact of static or slow changes in
the system limits while the dynamic security considers the impact
of disturbances (or contingencies) on the system.
Dynamic security or mainly stability
• Stability is the ability of an electric power system, for a given initial
operating condition, to regain a state of operating equilibrium after
being subjected to a physical disturbance, with most system
variables bounded so that practically the entire system remains
intact”; however,
• “Security not only includes stability, but also encompasses the
integrity of a power system and assessment of the equilibrium state
from the point of view of overloads, under- or overvoltages and
underfrequency” 112016(2)
2016(2) 12
N-k security level
• Defining N as the minimum number of components
required to supply the system peak load.
• A system with an N-k security criterion is a system in
which k components may be simultaneously
disconnected and the system will be able to fulfill the
normal state requirements in the post-contingencies
time.
• Due to investment constraints, power systems are
usually designed according to the N-1 security criterion.
• The reserve margin is required for fulfilling the N-k
security level and other security constraints in the power
generation subsystem.
132016(2)
142016(2)
2016(2) 15
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2016(2) 18
The main challenge in performing a meaningful real-
time analysis of power system is to have a real-time
model.
System monitoring may be
considered as the backbone of
system security.
Real-time modeling of power
system is essentially dependent
on the system monitoring.
192016(2)
The term real-time model may be defined as a
snapshot of the system.
• This snapshot includes the redundant
measurements of critical quantities, estimated
system topology, and estimated variables and
parameters.
• The quality of a model is determined by its
accuracy of simulating the physical system.
• The value of the studies and the conclusions
derived from a model is essentially dependent
on the quality of the model
202016(2)
Regardless of its size and geographical
extent, power systems must contain
telemetry systems.
These systems comprise a collection of devices for
monitoring critical quantities and simultaneously
transmitting these quantities to a central
location.
These quantities may include voltages, currents,
power flows, status of circuit breakers, frequency,
generator unit output, and tap positions of
transformers.
212016(2)
Operation control centers usually
include central computers to
Gather the collected telemetry data, processing
them, checking them against restored operational and
intrinsic limits.
Facilitate these data to the operators and notify them
in the event of violation of any limits or events such as
overloads, over voltage, and outage of lines.
Use the collected data in conjunction with a state
estimation process for building a system model that
nearly represents the real-time physical power system.
222016(2)
Phase Measurement Units
(PMUs)
are devices that distinguished for providing
synchronized measurement of relative phase angles
of bus voltages.
defined by the IEEE as “a device that produces
synchronized phasor, frequency, and rate of change
of frequency estimates from voltage and/or current
signals and a time synchronizing signal”.
232016(2)
2016(2) 24
2016(2) 25
Wide Area Measurement (WAM)
• WAMs are technologies use the
PMUs to record and export
dynamic power system
synchronized high-sampling
data.
262016(2)

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operational states security constraints

  • 1. By Prof. Dr. Mohamed EL-Shimy http://shimymb.tripod.com 12016(2)
  • 2.  EL-Shimy M. Dynamic Security of Interconnected Electric Power Systems - Volume 1. Germany: Omniscriptum Gmbh & Company Kg.; 2015.  My google scholar page: https://goo.gl/4ag0Dg 22016(2) Basic References
  • 3.  L. H. Fink and K. Carlsen, “Operating Under Stress and Strain,” IEEE Spectrum, Vol. 15, pp. 48–53, March 1978.  Jizhong Zhu, “Optimization Of Power System Operation”, John Wiley & Sons, 2009  A. J. Woods and B. F. Wollenberg, Power Generation, Operation, and Control, 2nd ed., John Wiley & Sons, 1996. 32016(2)
  • 4.  The system limits (or constraints) define the normal operation of power systems. 42016(2) Types of constraints Equality constraints : h(x, u) = 0 Inequality constraints : g(x, u)  0 Other security constraints
  • 5. u is the vector of independent or input variables includes Voltage magnitude of PV buses i.e. generator buses, Active power of PV buses, Transformer tap setting, and Setting of shunt VAR compensators. 52016(2)
  • 6. x is the vector of dependent variables includes Slack bus active power, Slack bus reactive power, Reactive power of PV buses, Voltage phase angle of PV buses, Voltage magnitude of PQ (or load) buses, Voltage phase angle of PQ buses, and Line loading. 62016(2)
  • 7. The equality constraints h(x, u) presents the typical load flow equations i.e. the power balance constraints, 72016(2)
  • 8. The inequality constraints g(x, u) represent the system operating constraints 82016(2)
  • 9. Other security constraints Static security constraints All the equality and inequality constraints, N-k criterion, Reserve margin Dynamic security constraints Transient stability Voltage stability Frequency stability N-k stability 92016(2)
  • 10. Power system security is defined as the continuous ability of the power system to keep all the system limits not violated with minimum interruption to the supplied loads. • The successful security system should minimize the impact of disturbances on the operation, economics, and power quality of power systems. • An acceptable system security level guarantees the immunity of power system to disturbances and makes the system defensive. The main target of the power system security is to keep the system intact under normal and disturbed conditions. Secure operation of power systems requires the integration of all practices designed for keeping acceptable system operation when components fail. 102016(2)
  • 11. Security analysis Static security or adequacy • The static security considers the impact of static or slow changes in the system limits while the dynamic security considers the impact of disturbances (or contingencies) on the system. Dynamic security or mainly stability • Stability is the ability of an electric power system, for a given initial operating condition, to regain a state of operating equilibrium after being subjected to a physical disturbance, with most system variables bounded so that practically the entire system remains intact”; however, • “Security not only includes stability, but also encompasses the integrity of a power system and assessment of the equilibrium state from the point of view of overloads, under- or overvoltages and underfrequency” 112016(2)
  • 13. N-k security level • Defining N as the minimum number of components required to supply the system peak load. • A system with an N-k security criterion is a system in which k components may be simultaneously disconnected and the system will be able to fulfill the normal state requirements in the post-contingencies time. • Due to investment constraints, power systems are usually designed according to the N-1 security criterion. • The reserve margin is required for fulfilling the N-k security level and other security constraints in the power generation subsystem. 132016(2)
  • 19. The main challenge in performing a meaningful real- time analysis of power system is to have a real-time model. System monitoring may be considered as the backbone of system security. Real-time modeling of power system is essentially dependent on the system monitoring. 192016(2)
  • 20. The term real-time model may be defined as a snapshot of the system. • This snapshot includes the redundant measurements of critical quantities, estimated system topology, and estimated variables and parameters. • The quality of a model is determined by its accuracy of simulating the physical system. • The value of the studies and the conclusions derived from a model is essentially dependent on the quality of the model 202016(2)
  • 21. Regardless of its size and geographical extent, power systems must contain telemetry systems. These systems comprise a collection of devices for monitoring critical quantities and simultaneously transmitting these quantities to a central location. These quantities may include voltages, currents, power flows, status of circuit breakers, frequency, generator unit output, and tap positions of transformers. 212016(2)
  • 22. Operation control centers usually include central computers to Gather the collected telemetry data, processing them, checking them against restored operational and intrinsic limits. Facilitate these data to the operators and notify them in the event of violation of any limits or events such as overloads, over voltage, and outage of lines. Use the collected data in conjunction with a state estimation process for building a system model that nearly represents the real-time physical power system. 222016(2)
  • 23. Phase Measurement Units (PMUs) are devices that distinguished for providing synchronized measurement of relative phase angles of bus voltages. defined by the IEEE as “a device that produces synchronized phasor, frequency, and rate of change of frequency estimates from voltage and/or current signals and a time synchronizing signal”. 232016(2)
  • 26. Wide Area Measurement (WAM) • WAMs are technologies use the PMUs to record and export dynamic power system synchronized high-sampling data. 262016(2)