SlideShare a Scribd company logo
1
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY
KONGUNADU COLLEGE OF ENGINEERING AND TECHNOLOGY
(AUTONOMOUS)
DEPARTMENT OF ELECTRICALAND ELECTRONICS ENGINEERING
20EE601- POWER SYSTEM OPERATION AND
CONTROL
UNIT-II
REAL POWER AND FREQUENCY
P.SRIDHAR,AP/EEE
KONGUNADU COLLEGE OF ENGINERING AN
D TECHNOLOGY, TRICHY
2
UNIT II-REAL POWER-FREQUENCY CONTROL
Basics of speed governing mechanisms and
modeling - Speed load characteristics Regulation
of two generators in parallel - Load Frequency
Control (LFC) of single area system-Static and
dynamic analysis of uncontrolled and controlled
cases- LFC of two area system - Tie line modeling-
Block diagram representation of two area system
- Static and dynamic analysis-Tie line with
frequency bias control-State variability model.
TECHNICAL TERMS
 Control area: Most power systems normally control their
generators in unison.
 The individual control loops have the same regulation
parameters.
 The individual generator turbines tend to have the same
response characteristics then it is possible to let the control
loop in the whole system which then would be referred to as
a control area.
Power Pool: An association of two or more interconnected
electric systems having an agreement to coordinate operations
and planning for improved reliability and efficiencies electric
systems having an agreement to coordinate operations and
planning for improved reliability and efficiencies
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 3
 Prime Mover: The engine, turbine, water wheel, or similar
machine that drives an electric generator; or, for reporting
purposes, a device that converts energy to electricity
directly (e.g., photovoltaic solar and fuel cell(s)).
 Pumped-Storage Hydroelectric Plant: A plant that
usually generates electric energy during peak-load periods
by using water previously pumped into an elevated
storage
 reservoir during off-peak periods when excess generating
capacity is available to do so. When additional generating
capacity is needed, the water can be released from the
reservoir through a conduit to turbine generators located
in a power plant at a lower level.
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 4
 Regulation: The governmental function of controlling or
directing economic entities through the process of
rulemaking and adjudication
 Reserve Margin (Operating):The amount of unused
available capability of an electric power system at peak
load for a utility system as a percentage of total capability.
 Restructuring: The process of replacing a monopoly
system of electric utilities with competing sellers,
allowing individual retail customers to choose their
electricity supplier but still receive delivery over the
power lines of the local utility. It includes the
reconfiguration of the vertically-integrated electric utility.
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 5
Retail Wheeling: The process of moving electric power from a
point of generation across one or more utility-owned
transmission and distribution systems to a retail customer.
Revenue: The total amount of money received by a firm from
sales of its products and/or services, gains from the sales or
exchange of assets, interest and dividends earned on
investments, and other increases in the owner's equity except
those arising from capital adjustments.
Scheduled Outage: The shutdown of a generating unit,
transmission line, or other facility, for inspection or
maintenance, in accordance with an advance schedule.
Real power: The real power in a power system is being
controlled by controlling the driving torque of the individual
turbines of the system.
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 6
LOAD FREQUENCY CONTROL
 The following basic requirements are to be fulfilled for
successful operation of the system:
 The generation must be adequate to meet all the load demand
 The system frequency must be maintained within narrow
and rigid limits.
 The system voltage profile must be maintained within
reasonable limits and
 In case of interconnected operation, the tie line power flows
must be maintained at the specified values.
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 7
BASICS OF SPEED GOVERNING
MECHANISM AND MODELLING
KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 8
Model of Speed Governor
9
Movement of C:
10
Movement of D:
Movement of ΔXE:
11
12
Turbine Model
13
We are interested in the increased power generation ΔPG due to the
increased steam value opening. There is incremental increase in turbine
power ΔPT due to the change in valve position ΔXÊ, which will result in an
increased generator power ΔPG. If the generator incremental loss is
neglected, then ΔPT = ΔPG
Generator Load Model
 To develop the mathematical model of an isolated
generator which is only supplying local load and is
not supplying power to another area, suppose there is
a real load change of ΔPD Due to the action of the
turbine controllers, the generator increases its output
by an amount ΔPG. The net surplus power (ΔPG - ΔPD)
will be absorbed by the system in two ways.
14
1. By increasing the kinetic energy in the rotor at the at the rate /
𝒅 𝒅𝒕
(WK.E)
2. As the frequency changes, the motor load changes being sensitive to
speed.
15
By increasing the kinetic energy in the rotor at the at the rate /
𝒅 𝒅𝒕
(WK.E)
16
2. As the frequency changes, the motor load changes being sensitive
to speed.
17
SPEED-LOAD CHARACTERISTICS (LOAD
SHARING BETWEEN TWO SYNCHRONOUS
MACHINES IN PARALLEL)
18
19
Power output per MW Vs speed characteristics
20
21
Speed-load characteristics
22
23
REGULATION OF ALTERNATORS
24
Regulation is defined as percentage rise in
voltage when full load at the specified
power factor is switched off, the excitation
being adjusted initially to give normal
voltage.
25
26
Necessity
Alternators may be put in parallel because of the
following reasons.
1. Local or regional power usè may exceed the power of a
single available generator.
2. Parallel alternators allow one or more units to be shut
down for scheduled emergency maintenance while the
load is being supplied with power.
3. Generators are inefficient at part load, so shutting down
one or more generators allows the remaining load to be
carried with less machines that are efficiently loaded.
4. Load growth can be handled by added machines
without disturbing the original installation.
5. Available machine prime movers and generators can be
matched for economic cost and flexible use.
27
Requirements for Parallel Operation
Alternators to be operated in parallel should meet the
following requirements.
1. They must have the same output voltage rating.
2. The rated speeds of the machines should be such as
to give the same frequency.
3. The alternators should be of the same type so as to
generate voltages of the same waveform. They may
differ in their KVA rating.
4. The prime movers of the alternators should have
same speed load drooping characteristics, so as to
load the alternators in proportion to their output
rating.
5. The alternators should have reactances in their
armatures, otherwise, they will not operate in parallel
28
Conditions for Proper Synchronising
1. The terminal voltage of the incoming
machine must be exactly equal to that of the
others, or of the bus-bars connecting them.
2. The speed of the incoming machine must
be such that, its frequency equals bus-bar
frequency.
3. The phase of the incoming machine
voltage must be the same as that of the bus-
bar voltage relative to the load
4. The phase sequence of the incoming
LOAD FREQUENCY CONTROL OF A SINGLE
AREA SYSTEM
29
To analyse the LFC of an isolated system, first build
mathematical model from the block diagram.
Let ΔPC be the incremental control input.
Let ΔPD be the incremental disturbance input.
The incremental control input is due to the change
in the speed changer setting, while the incremental
disturbance input is due to the change in load
demand.
There are two responses:
(i) Steady state or static response.
(ii) Dynamic state response.
30
Static Analysis or Steady State Response of
Uncontrolled Case
Consider the speed changer has a fixed setting. Under this
condition ΔPC = 0 and the load demand changes. This is
known as free governor operation.
31
Using block reduction technique the block diagram is
shown in figure
32
33
Applying final value theorem,
34
35
The system performance in terms of how the change in
power affects the change in frequency is evaluated through
AFRC.
36
When several generators with governor speed regulations
R1, R2, . . . . . . . . Rn are connected to the system, the steady
state deviation in frequency is given by
The droop of the load frequency curve is shown in Figure
c is mainly determined by regulation.
37
38
Effect of Speed Changer on Speed Governor
System
A governor system can change the position of the main
steam value which is actuated by the speed changer. Using
this, we can restore the frequency to the initial value at
various loads. (or output of generator).
Let us consider 60% load.
Nominal frequency = 50 Hz (i.e., 100% frequency) as
depicted by the operating 'a', with an incremental load
APD, the turbine speed drops and the new operating
point is 'b' and the system frequency is 49.5 Hz (i.e., 99%
frequency).
39
40
Effect of speed changer on speed governor
system load frequency characteristics
Now a controlling force ΔPC is applied to the speed
changer and the characteristics is shifted upwards and
the new operating point 'c' is shown in above Figure and
the system is again operating at rated frequency. Hence,
both controlling and disturbance forces are acting
simultaneously.
41
Static Analysis of Controlled Case
In this case, there is a step change ΔPC force for speed
changer setting and the load demand remains fixed i.e., ΔPD
= 0.
42
43
44
Dynamic Response of Uncontrolled Case
The static response of the ALFC loop yielded important
information about frequency accuracy. The dynamic
response of the loop will inform about "tracking" ability and
stability of the loop.
Assumptions:
1. Neglect the turbine dynamics.
2. The speed changer action is instantaneous. Put ΔPC(s) = 0,
The block diagram reduces as shown in Figure
45
46
We can simplify the analysis by making the following
assumptions.
47
48
49
50
MULTI-AREA SYSTEM
51
• An interconnected power system is divided into a
number of "control areas” for the purpose of load
frequency control.
• When subjected to disturbances like a small load
change, all the generator - turbine units in a control
area swing together with the other groups of
generator turbine units in other areas.
• Hence, all the units in a control area are
represented by a single unit of equivalent inertia
and characterized by a single (area) frequency.
• Since all the network is strong, all the bus loads in a
control area are assumed to act at single load point
and characterized by a single equivalent load
parameter.
• The different control areas are connected by
relatively "weak" tie lines. A typical n-area power
52
For the optimal operation of an interconnected
power system, the following points are to be
considered.
1. Under normal operating condition, each control
area should have the capacity to meet its own load
from its own spinning generator, plus the scheduled
interchange between the neighboring areas.
2. Under emergency condition, the energy can be
drawn from the spinning reserves of all the
neighboring areas immediately due to the sudden
loss of generating unit.
During normal operation of interconnected power
system requires load frequency controller for each area
which not only drives the area frequency deviation to
zero but also the "net interchange" of that area to zero
under steady state condition. Net interchange of area is
defined as the algebraic sum of tie line flows between
area i and other connected areas with tie line flow out of
53
Two Area Load Frequency Control
System Modelling
54
55
56
57
58
59

More Related Content

Similar to UNIT-2-PPT- Real Power Frequency Control (20)

PDF
doubley fed induction motor
usic123
 
PDF
International Journal of Engineering Research and Development (IJERD)
IJERD Editor
 
PPTX
TCSC
Ali
 
PPTX
speed governer characteristics and classfication
ssuserf2a79e1
 
PDF
Load frequency control in HVDC TRANSMISSION pdf
Priya664976
 
PDF
A New Control Method for the Multi-Area LFC System Based on Port-Hamiltonian ...
IRJET Journal
 
PPT
PPT V-F control.ppt
MaulikPandya25
 
PPTX
Power electronic converter in wind turbine.1.
SonuKumarBairwa
 
PDF
Or3425552561
IJERA Editor
 
DOCX
Analysis of a High Efficiency Boost-Inverter with Back-up Battery Storage in ...
irjes
 
PDF
APPLICATION OF STATCOM to IMPROVED DYNAMIC PERFORMANCE OF POWER SYSTEM
ijsrd.com
 
PDF
D027026030
researchinventy
 
PDF
24 547-558
idescitation
 
PDF
Load Frequency Control of DFIG-isolated and Grid Connected Mode
IJAPEJOURNAL
 
PPTX
Electric traction
Murugappa Group
 
PDF
Improving Distribution Feeders for Photovoltaic Generation by Loop Power Cont...
IJMER
 
PPT
FACTS Flexible AC Transmission System.ppt
rajeshplacherikunnel
 
PPT
MPPT CONTROL FOR WIND ENERGY CONVERSION SYSTEM
TiyaPatel1
 
PDF
Welcome to International Journal of Engineering Research and Development (IJERD)
IJERD Editor
 
doubley fed induction motor
usic123
 
International Journal of Engineering Research and Development (IJERD)
IJERD Editor
 
TCSC
Ali
 
speed governer characteristics and classfication
ssuserf2a79e1
 
Load frequency control in HVDC TRANSMISSION pdf
Priya664976
 
A New Control Method for the Multi-Area LFC System Based on Port-Hamiltonian ...
IRJET Journal
 
PPT V-F control.ppt
MaulikPandya25
 
Power electronic converter in wind turbine.1.
SonuKumarBairwa
 
Or3425552561
IJERA Editor
 
Analysis of a High Efficiency Boost-Inverter with Back-up Battery Storage in ...
irjes
 
APPLICATION OF STATCOM to IMPROVED DYNAMIC PERFORMANCE OF POWER SYSTEM
ijsrd.com
 
D027026030
researchinventy
 
24 547-558
idescitation
 
Load Frequency Control of DFIG-isolated and Grid Connected Mode
IJAPEJOURNAL
 
Electric traction
Murugappa Group
 
Improving Distribution Feeders for Photovoltaic Generation by Loop Power Cont...
IJMER
 
FACTS Flexible AC Transmission System.ppt
rajeshplacherikunnel
 
MPPT CONTROL FOR WIND ENERGY CONVERSION SYSTEM
TiyaPatel1
 
Welcome to International Journal of Engineering Research and Development (IJERD)
IJERD Editor
 

More from Sridhar191373 (14)

PDF
unit -5-POWER AMPLIFIERS AND SPECIAL DEVICES (1).pdf
Sridhar191373
 
PDF
UNIT-4-FEEDBACK AMPLIFIERS AND OSCILLATORS (1).pdf
Sridhar191373
 
PDF
UNIT-3-FIELD CONTROLLED DEVICES AND APPLICATIONS
Sridhar191373
 
PDF
UNIT-2-BJT AND ITS BIASING AND ITS APPLICATIONS
Sridhar191373
 
PDF
UNIT -1- PN JUNCTION DIODE AND RECTIFIERS (1).pdf
Sridhar191373
 
PPT
UNIT-5-PPT Computer Control Power of Power System
Sridhar191373
 
PPT
UNIT-4-PPT UNIT COMMITMENT AND ECONOMIC DISPATCH
Sridhar191373
 
PPTX
UNIT-3-PPT-Reactive Power Voltage control
Sridhar191373
 
PPTX
UNIT-1-PPT-Introduction about Power System Operation and Control
Sridhar191373
 
PPTX
DE-UNIT-V MEMORY DEVICES AND DIGITAL INTEGRATED CIRCUITS
Sridhar191373
 
PPTX
DE-UNIT-IV ASYNCHRONOUS SEQUENTIAL CIRCUITS
Sridhar191373
 
PPTX
DIGITAL ELECTRONICS: UNIT-III SYNCHRONOUS SEQUENTIAL CIRCUITS
Sridhar191373
 
PPTX
DIGITAL ELECTRONICS :UNIT-II-COMBINATIONAL CIRCUIT DESIGN
Sridhar191373
 
PPTX
Digital Electronics: UNIT-I DIGITAL FUNDAMENTALS
Sridhar191373
 
unit -5-POWER AMPLIFIERS AND SPECIAL DEVICES (1).pdf
Sridhar191373
 
UNIT-4-FEEDBACK AMPLIFIERS AND OSCILLATORS (1).pdf
Sridhar191373
 
UNIT-3-FIELD CONTROLLED DEVICES AND APPLICATIONS
Sridhar191373
 
UNIT-2-BJT AND ITS BIASING AND ITS APPLICATIONS
Sridhar191373
 
UNIT -1- PN JUNCTION DIODE AND RECTIFIERS (1).pdf
Sridhar191373
 
UNIT-5-PPT Computer Control Power of Power System
Sridhar191373
 
UNIT-4-PPT UNIT COMMITMENT AND ECONOMIC DISPATCH
Sridhar191373
 
UNIT-3-PPT-Reactive Power Voltage control
Sridhar191373
 
UNIT-1-PPT-Introduction about Power System Operation and Control
Sridhar191373
 
DE-UNIT-V MEMORY DEVICES AND DIGITAL INTEGRATED CIRCUITS
Sridhar191373
 
DE-UNIT-IV ASYNCHRONOUS SEQUENTIAL CIRCUITS
Sridhar191373
 
DIGITAL ELECTRONICS: UNIT-III SYNCHRONOUS SEQUENTIAL CIRCUITS
Sridhar191373
 
DIGITAL ELECTRONICS :UNIT-II-COMBINATIONAL CIRCUIT DESIGN
Sridhar191373
 
Digital Electronics: UNIT-I DIGITAL FUNDAMENTALS
Sridhar191373
 
Ad

Recently uploaded (20)

PPTX
Green Building & Energy Conservation ppt
Sagar Sarangi
 
PDF
International Journal of Information Technology Convergence and services (IJI...
ijitcsjournal4
 
PPTX
VITEEE 2026 Exam Details , Important Dates
SonaliSingh127098
 
PPTX
GitOps_Repo_Structure for begeinner(Scaffolindg)
DanialHabibi2
 
PDF
MAD Unit - 1 Introduction of Android IT Department
JappanMavani
 
DOCX
CS-802 (A) BDH Lab manual IPS Academy Indore
thegodhimself05
 
PDF
Reasons for the succes of MENARD PRESSUREMETER.pdf
majdiamz
 
DOCX
8th International Conference on Electrical Engineering (ELEN 2025)
elelijjournal653
 
PDF
PORTFOLIO Golam Kibria Khan — architect with a passion for thoughtful design...
MasumKhan59
 
PPTX
原版一样(Acadia毕业证书)加拿大阿卡迪亚大学毕业证办理方法
Taqyea
 
PPTX
Mechanical Design of shell and tube heat exchangers as per ASME Sec VIII Divi...
shahveer210504
 
PPTX
Types of Bearing_Specifications_PPT.pptx
PranjulAgrahariAkash
 
PPTX
Shinkawa Proposal to meet Vibration API670.pptx
AchmadBashori2
 
PDF
Design Thinking basics for Engineers.pdf
CMR University
 
PPT
PPT2_Metal formingMECHANICALENGINEEIRNG .ppt
Praveen Kumar
 
PDF
GTU Civil Engineering All Semester Syllabus.pdf
Vimal Bhojani
 
PPTX
MobileComputingMANET2023 MobileComputingMANET2023.pptx
masterfake98765
 
PPTX
Thermal runway and thermal stability.pptx
godow93766
 
PDF
Basic_Concepts_in_Clinical_Biochemistry_2018كيمياء_عملي.pdf
AdelLoin
 
PPTX
265587293-NFPA 101 Life safety code-PPT-1.pptx
chandermwason
 
Green Building & Energy Conservation ppt
Sagar Sarangi
 
International Journal of Information Technology Convergence and services (IJI...
ijitcsjournal4
 
VITEEE 2026 Exam Details , Important Dates
SonaliSingh127098
 
GitOps_Repo_Structure for begeinner(Scaffolindg)
DanialHabibi2
 
MAD Unit - 1 Introduction of Android IT Department
JappanMavani
 
CS-802 (A) BDH Lab manual IPS Academy Indore
thegodhimself05
 
Reasons for the succes of MENARD PRESSUREMETER.pdf
majdiamz
 
8th International Conference on Electrical Engineering (ELEN 2025)
elelijjournal653
 
PORTFOLIO Golam Kibria Khan — architect with a passion for thoughtful design...
MasumKhan59
 
原版一样(Acadia毕业证书)加拿大阿卡迪亚大学毕业证办理方法
Taqyea
 
Mechanical Design of shell and tube heat exchangers as per ASME Sec VIII Divi...
shahveer210504
 
Types of Bearing_Specifications_PPT.pptx
PranjulAgrahariAkash
 
Shinkawa Proposal to meet Vibration API670.pptx
AchmadBashori2
 
Design Thinking basics for Engineers.pdf
CMR University
 
PPT2_Metal formingMECHANICALENGINEEIRNG .ppt
Praveen Kumar
 
GTU Civil Engineering All Semester Syllabus.pdf
Vimal Bhojani
 
MobileComputingMANET2023 MobileComputingMANET2023.pptx
masterfake98765
 
Thermal runway and thermal stability.pptx
godow93766
 
Basic_Concepts_in_Clinical_Biochemistry_2018كيمياء_عملي.pdf
AdelLoin
 
265587293-NFPA 101 Life safety code-PPT-1.pptx
chandermwason
 
Ad

UNIT-2-PPT- Real Power Frequency Control

  • 1. 1 KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY KONGUNADU COLLEGE OF ENGINEERING AND TECHNOLOGY (AUTONOMOUS) DEPARTMENT OF ELECTRICALAND ELECTRONICS ENGINEERING 20EE601- POWER SYSTEM OPERATION AND CONTROL UNIT-II REAL POWER AND FREQUENCY P.SRIDHAR,AP/EEE
  • 2. KONGUNADU COLLEGE OF ENGINERING AN D TECHNOLOGY, TRICHY 2 UNIT II-REAL POWER-FREQUENCY CONTROL Basics of speed governing mechanisms and modeling - Speed load characteristics Regulation of two generators in parallel - Load Frequency Control (LFC) of single area system-Static and dynamic analysis of uncontrolled and controlled cases- LFC of two area system - Tie line modeling- Block diagram representation of two area system - Static and dynamic analysis-Tie line with frequency bias control-State variability model.
  • 3. TECHNICAL TERMS  Control area: Most power systems normally control their generators in unison.  The individual control loops have the same regulation parameters.  The individual generator turbines tend to have the same response characteristics then it is possible to let the control loop in the whole system which then would be referred to as a control area. Power Pool: An association of two or more interconnected electric systems having an agreement to coordinate operations and planning for improved reliability and efficiencies electric systems having an agreement to coordinate operations and planning for improved reliability and efficiencies KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 3
  • 4.  Prime Mover: The engine, turbine, water wheel, or similar machine that drives an electric generator; or, for reporting purposes, a device that converts energy to electricity directly (e.g., photovoltaic solar and fuel cell(s)).  Pumped-Storage Hydroelectric Plant: A plant that usually generates electric energy during peak-load periods by using water previously pumped into an elevated storage  reservoir during off-peak periods when excess generating capacity is available to do so. When additional generating capacity is needed, the water can be released from the reservoir through a conduit to turbine generators located in a power plant at a lower level. KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 4
  • 5.  Regulation: The governmental function of controlling or directing economic entities through the process of rulemaking and adjudication  Reserve Margin (Operating):The amount of unused available capability of an electric power system at peak load for a utility system as a percentage of total capability.  Restructuring: The process of replacing a monopoly system of electric utilities with competing sellers, allowing individual retail customers to choose their electricity supplier but still receive delivery over the power lines of the local utility. It includes the reconfiguration of the vertically-integrated electric utility. KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 5
  • 6. Retail Wheeling: The process of moving electric power from a point of generation across one or more utility-owned transmission and distribution systems to a retail customer. Revenue: The total amount of money received by a firm from sales of its products and/or services, gains from the sales or exchange of assets, interest and dividends earned on investments, and other increases in the owner's equity except those arising from capital adjustments. Scheduled Outage: The shutdown of a generating unit, transmission line, or other facility, for inspection or maintenance, in accordance with an advance schedule. Real power: The real power in a power system is being controlled by controlling the driving torque of the individual turbines of the system. KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 6
  • 7. LOAD FREQUENCY CONTROL  The following basic requirements are to be fulfilled for successful operation of the system:  The generation must be adequate to meet all the load demand  The system frequency must be maintained within narrow and rigid limits.  The system voltage profile must be maintained within reasonable limits and  In case of interconnected operation, the tie line power flows must be maintained at the specified values. KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 7
  • 8. BASICS OF SPEED GOVERNING MECHANISM AND MODELLING KONGUNADU COLLEGE OF ENGINERING AND TECHNOLOGY, TRICHY 8
  • 9. Model of Speed Governor 9 Movement of C:
  • 11. 11
  • 12. 12
  • 13. Turbine Model 13 We are interested in the increased power generation ΔPG due to the increased steam value opening. There is incremental increase in turbine power ΔPT due to the change in valve position ΔXÊ, which will result in an increased generator power ΔPG. If the generator incremental loss is neglected, then ΔPT = ΔPG
  • 14. Generator Load Model  To develop the mathematical model of an isolated generator which is only supplying local load and is not supplying power to another area, suppose there is a real load change of ΔPD Due to the action of the turbine controllers, the generator increases its output by an amount ΔPG. The net surplus power (ΔPG - ΔPD) will be absorbed by the system in two ways. 14 1. By increasing the kinetic energy in the rotor at the at the rate / 𝒅 𝒅𝒕 (WK.E) 2. As the frequency changes, the motor load changes being sensitive to speed.
  • 15. 15 By increasing the kinetic energy in the rotor at the at the rate / 𝒅 𝒅𝒕 (WK.E)
  • 16. 16 2. As the frequency changes, the motor load changes being sensitive to speed.
  • 17. 17
  • 18. SPEED-LOAD CHARACTERISTICS (LOAD SHARING BETWEEN TWO SYNCHRONOUS MACHINES IN PARALLEL) 18
  • 19. 19 Power output per MW Vs speed characteristics
  • 20. 20
  • 22. 22
  • 23. 23
  • 24. REGULATION OF ALTERNATORS 24 Regulation is defined as percentage rise in voltage when full load at the specified power factor is switched off, the excitation being adjusted initially to give normal voltage.
  • 25. 25
  • 26. 26 Necessity Alternators may be put in parallel because of the following reasons. 1. Local or regional power usè may exceed the power of a single available generator. 2. Parallel alternators allow one or more units to be shut down for scheduled emergency maintenance while the load is being supplied with power. 3. Generators are inefficient at part load, so shutting down one or more generators allows the remaining load to be carried with less machines that are efficiently loaded. 4. Load growth can be handled by added machines without disturbing the original installation. 5. Available machine prime movers and generators can be matched for economic cost and flexible use.
  • 27. 27 Requirements for Parallel Operation Alternators to be operated in parallel should meet the following requirements. 1. They must have the same output voltage rating. 2. The rated speeds of the machines should be such as to give the same frequency. 3. The alternators should be of the same type so as to generate voltages of the same waveform. They may differ in their KVA rating. 4. The prime movers of the alternators should have same speed load drooping characteristics, so as to load the alternators in proportion to their output rating. 5. The alternators should have reactances in their armatures, otherwise, they will not operate in parallel
  • 28. 28 Conditions for Proper Synchronising 1. The terminal voltage of the incoming machine must be exactly equal to that of the others, or of the bus-bars connecting them. 2. The speed of the incoming machine must be such that, its frequency equals bus-bar frequency. 3. The phase of the incoming machine voltage must be the same as that of the bus- bar voltage relative to the load 4. The phase sequence of the incoming
  • 29. LOAD FREQUENCY CONTROL OF A SINGLE AREA SYSTEM 29 To analyse the LFC of an isolated system, first build mathematical model from the block diagram. Let ΔPC be the incremental control input. Let ΔPD be the incremental disturbance input. The incremental control input is due to the change in the speed changer setting, while the incremental disturbance input is due to the change in load demand. There are two responses: (i) Steady state or static response. (ii) Dynamic state response.
  • 30. 30 Static Analysis or Steady State Response of Uncontrolled Case Consider the speed changer has a fixed setting. Under this condition ΔPC = 0 and the load demand changes. This is known as free governor operation.
  • 31. 31 Using block reduction technique the block diagram is shown in figure
  • 32. 32
  • 34. 34
  • 35. 35 The system performance in terms of how the change in power affects the change in frequency is evaluated through AFRC.
  • 36. 36 When several generators with governor speed regulations R1, R2, . . . . . . . . Rn are connected to the system, the steady state deviation in frequency is given by The droop of the load frequency curve is shown in Figure c is mainly determined by regulation.
  • 37. 37
  • 38. 38 Effect of Speed Changer on Speed Governor System A governor system can change the position of the main steam value which is actuated by the speed changer. Using this, we can restore the frequency to the initial value at various loads. (or output of generator). Let us consider 60% load. Nominal frequency = 50 Hz (i.e., 100% frequency) as depicted by the operating 'a', with an incremental load APD, the turbine speed drops and the new operating point is 'b' and the system frequency is 49.5 Hz (i.e., 99% frequency).
  • 39. 39
  • 40. 40 Effect of speed changer on speed governor system load frequency characteristics Now a controlling force ΔPC is applied to the speed changer and the characteristics is shifted upwards and the new operating point 'c' is shown in above Figure and the system is again operating at rated frequency. Hence, both controlling and disturbance forces are acting simultaneously.
  • 41. 41 Static Analysis of Controlled Case In this case, there is a step change ΔPC force for speed changer setting and the load demand remains fixed i.e., ΔPD = 0.
  • 42. 42
  • 43. 43
  • 44. 44 Dynamic Response of Uncontrolled Case The static response of the ALFC loop yielded important information about frequency accuracy. The dynamic response of the loop will inform about "tracking" ability and stability of the loop. Assumptions: 1. Neglect the turbine dynamics. 2. The speed changer action is instantaneous. Put ΔPC(s) = 0, The block diagram reduces as shown in Figure
  • 45. 45
  • 46. 46 We can simplify the analysis by making the following assumptions.
  • 47. 47
  • 48. 48
  • 49. 49
  • 51. 51 • An interconnected power system is divided into a number of "control areas” for the purpose of load frequency control. • When subjected to disturbances like a small load change, all the generator - turbine units in a control area swing together with the other groups of generator turbine units in other areas. • Hence, all the units in a control area are represented by a single unit of equivalent inertia and characterized by a single (area) frequency. • Since all the network is strong, all the bus loads in a control area are assumed to act at single load point and characterized by a single equivalent load parameter. • The different control areas are connected by relatively "weak" tie lines. A typical n-area power
  • 52. 52 For the optimal operation of an interconnected power system, the following points are to be considered. 1. Under normal operating condition, each control area should have the capacity to meet its own load from its own spinning generator, plus the scheduled interchange between the neighboring areas. 2. Under emergency condition, the energy can be drawn from the spinning reserves of all the neighboring areas immediately due to the sudden loss of generating unit. During normal operation of interconnected power system requires load frequency controller for each area which not only drives the area frequency deviation to zero but also the "net interchange" of that area to zero under steady state condition. Net interchange of area is defined as the algebraic sum of tie line flows between area i and other connected areas with tie line flow out of
  • 53. 53 Two Area Load Frequency Control System Modelling
  • 54. 54
  • 55. 55
  • 56. 56
  • 57. 57
  • 58. 58
  • 59. 59