Here are the steps to solve this problem:
1. Calculate the individual maximum demands considering diversity factor:
Domestic load:
Max demand = 20000 kW
With diversity factor of 1.5, individual max demand = 20000/1.5 = 13333 kW
Commercial load:
Max demand = 20000 kW
With diversity factor of 1.4, individual max demand = 20000/1.4 = 14285 kW
Industrial load:
Max demand = 50000 kW
With diversity factor of 1.2, individual max demand = 50000/1.2 = 41667 kW
2. Calculate the total individual maximum demands:
Individual max (Domestic) = 13333 kW
Individual
This chapter discusses per unit representation, which expresses values like current, voltage, impedance, and power as a ratio of an actual value to a reference or base value. This makes the quantities unitless and independent of physical size or ratings. The document provides examples of converting actual values to per unit values and explains the advantages, which include representing apparatus values consistently over a wide range, simplifying computations, and specifying machine impedances in per unit values according to manufacturers.
Load duration curves show how load demand for electricity varies over time, such as daily or monthly. They are useful for predicting future energy needs and determining the appropriate capacity and size of generating units for a power plant. When planning a power plant, its total installed capacity and size of generating units must be decided based on the expected maximum load and factors like load factor, capacity factor, reserve factor, demand factor, and diversity factor, which all influence the economic operation of the plant. The load duration curve is divided into base, intermediate, and peaking loads, and different types of generating plants are suited for meeting each type of load demand.
This document provides a full module specification for a course on per unit quantities and related mathematics. It includes information such as the course name and code, academic year, instructors, credit hours, prerequisites, grading policy, teaching methodology, and method of evaluation. The document also provides several examples of calculating per unit quantities for systems including generators, transformers, and three phase systems. It defines per unit quantities, expresses the relationships between various voltage, current, power, and impedance quantities in per unit systems, and shows calculations for impedances referred to different bases within a system.
This document discusses load curves and economics of power generation. It provides definitions for key terms like connected load, demand, maximum demand, load factor, diversity factor, and plant capacity factor. Load curves show the variation of load on a power station over time and can be daily, monthly, or yearly. The combined daily load curve shows higher loads during the day and lower loads at night. Tariffs for electricity aim to recover the fixed and operating costs of power generation through rates that consider maximum demand and energy consumed. Different tariff structures include flat demand rate, straight line meter rate, block meter rate, and two-part or three-part tariffs.
The document discusses electricity deregulation and the requirements for a deregulated electricity market. It outlines the benefits of deregulation such as more efficient use of generation capacity, improved consumer choice, and potentially lower prices. In a deregulated market there are different entities like generators, transmitters, distributors, retailers, and customers. Regulation is still needed to prevent monopoly behavior and ensure reliability. The document compares regulated versus deregulated industry structures and different market models for electricity trading. It also discusses issues in deregulated markets like network congestion, supply shortages, defaults, and lack of experience with risk hedging tools. The objective of India's Electricity Act of 2003 was to introduce competition while protecting consumers and ensuring universal access to electricity
This presentation is based on the subject electric power system.Circle diagram of transmission line.In this presentation two topics covered about the circle diagram of transmission line.It is about the medium and long transmission line circle diagram.Receiving-end circle diagram and sending-end circle diagram of the transmission line.This presentation help you to the improve knowledge about the transmission line circle diagram.
This document summarizes a lecture on power system analysis. It covers:
1) Announcements about upcoming homework assignments and reading for the next lectures.
2) Descriptions of different types of transformers used in power systems - load tap changing transformers, phase shifting transformers, and autotransformers.
3) Models used for loads, generators, and the bus admittance matrix (Ybus) which are required for power flow analysis. Power flow determines how power flows through a network given load demands and generator outputs.
A flyback converter is a type of switch mode power supply that uses a transformer to transfer energy from the input to the output. It operates by storing energy in the transformer during the on-time of the primary switch, and releasing this energy to the output during the off-time when a diode is conducting. Flyback converters provide galvanic isolation between the input and output through the use of the transformer. They can operate in discontinuous conduction mode where the transformer fully demagnetizes during each switching cycle.
This chapter discusses per unit representation, which expresses values like current, voltage, impedance, and power as a ratio of an actual value to a reference or base value. This makes the quantities unitless and independent of physical size or ratings. The document provides examples of converting actual values to per unit values and explains the advantages, which include representing apparatus values consistently over a wide range, simplifying computations, and specifying machine impedances in per unit values according to manufacturers.
Load duration curves show how load demand for electricity varies over time, such as daily or monthly. They are useful for predicting future energy needs and determining the appropriate capacity and size of generating units for a power plant. When planning a power plant, its total installed capacity and size of generating units must be decided based on the expected maximum load and factors like load factor, capacity factor, reserve factor, demand factor, and diversity factor, which all influence the economic operation of the plant. The load duration curve is divided into base, intermediate, and peaking loads, and different types of generating plants are suited for meeting each type of load demand.
This document provides a full module specification for a course on per unit quantities and related mathematics. It includes information such as the course name and code, academic year, instructors, credit hours, prerequisites, grading policy, teaching methodology, and method of evaluation. The document also provides several examples of calculating per unit quantities for systems including generators, transformers, and three phase systems. It defines per unit quantities, expresses the relationships between various voltage, current, power, and impedance quantities in per unit systems, and shows calculations for impedances referred to different bases within a system.
This document discusses load curves and economics of power generation. It provides definitions for key terms like connected load, demand, maximum demand, load factor, diversity factor, and plant capacity factor. Load curves show the variation of load on a power station over time and can be daily, monthly, or yearly. The combined daily load curve shows higher loads during the day and lower loads at night. Tariffs for electricity aim to recover the fixed and operating costs of power generation through rates that consider maximum demand and energy consumed. Different tariff structures include flat demand rate, straight line meter rate, block meter rate, and two-part or three-part tariffs.
The document discusses electricity deregulation and the requirements for a deregulated electricity market. It outlines the benefits of deregulation such as more efficient use of generation capacity, improved consumer choice, and potentially lower prices. In a deregulated market there are different entities like generators, transmitters, distributors, retailers, and customers. Regulation is still needed to prevent monopoly behavior and ensure reliability. The document compares regulated versus deregulated industry structures and different market models for electricity trading. It also discusses issues in deregulated markets like network congestion, supply shortages, defaults, and lack of experience with risk hedging tools. The objective of India's Electricity Act of 2003 was to introduce competition while protecting consumers and ensuring universal access to electricity
This presentation is based on the subject electric power system.Circle diagram of transmission line.In this presentation two topics covered about the circle diagram of transmission line.It is about the medium and long transmission line circle diagram.Receiving-end circle diagram and sending-end circle diagram of the transmission line.This presentation help you to the improve knowledge about the transmission line circle diagram.
This document summarizes a lecture on power system analysis. It covers:
1) Announcements about upcoming homework assignments and reading for the next lectures.
2) Descriptions of different types of transformers used in power systems - load tap changing transformers, phase shifting transformers, and autotransformers.
3) Models used for loads, generators, and the bus admittance matrix (Ybus) which are required for power flow analysis. Power flow determines how power flows through a network given load demands and generator outputs.
A flyback converter is a type of switch mode power supply that uses a transformer to transfer energy from the input to the output. It operates by storing energy in the transformer during the on-time of the primary switch, and releasing this energy to the output during the off-time when a diode is conducting. Flyback converters provide galvanic isolation between the input and output through the use of the transformer. They can operate in discontinuous conduction mode where the transformer fully demagnetizes during each switching cycle.
The document discusses unit commitment in power systems. Unit commitment involves determining which generating units to operate and when to operate them in order to meet the changing electricity demand at the lowest possible production cost while satisfying operational constraints. It describes the unit commitment problem and various constraints like minimum up/down times, ramp rates, reserve requirements, and start-up costs that make it more complex than economic dispatch. It provides a simple example to illustrate the concepts.
Unit 5 Economic Load Dispatch and Unit CommitmentSANTOSH GADEKAR
This document provides information on economic load dispatch and unit commitment in power systems. It discusses the input-output and incremental cost characteristics of thermal and hydro power plants. It also describes the equal incremental cost method for economic load dispatch using Lagrange multipliers. A numerical example with two generating units is provided to illustrate solving for optimal dispatch considering varying load demand over different time periods.
The document discusses power system security and smart grids. It defines power system security as the probability of the system operating within acceptable ranges given potential changes or contingencies. Contingency analysis is a major component of security assessment and involves defining possible contingencies, selecting important ones to evaluate, and ranking them by risk level. Voltage stability refers to the ability of a system to maintain steady voltages during disturbances and can be analyzed statically or dynamically. Smart grids use digital technology to monitor, control, and analyze the power system for more efficient transmission and integration of renewable energy.
Detailed presentation created on the topic of electrical power subject on the power system analysis. Shown about Ybus details, Ybus calculations, Power flow and design, Interconnected operation of power system etc.
Power system planning & operation [eceg 4410]Sifan Welisa
The document discusses power load forecasting and substation planning. It explains that accurate load forecasting is important for power system planning and operation. Several load forecasting methods are described, including those based on historical load data, economic factors, and standardized load curves. Load forecasts can be short, medium, or long-term. The document also discusses factors to consider in substation planning and design, such as location, equipment requirements, and configuration. Feasibility studies are important for assessing potential hydroelectric and substation projects.
The document discusses the operation of a thyristor-controlled series compensator (TCSC). It describes the basic components of a TCSC including its controller, capacitor, and thyristor-controlled reactor. It explains the three main modes of TCSC operation - bypassed thyristor mode, blocked thyristor mode, and partially conducting thyristor or vernier mode. The bypassed and blocked modes allow the TCSC to behave as a fixed capacitor or inductor. The vernier mode provides continuously variable capacitive or inductive reactance through phase-controlled thyristor firing.
This document defines and compares active power, reactive power, and apparent power in AC circuits. It states that active power is responsible for useful work, is represented by P, and is given by the relation P=VICosθ. Reactive power oscillates between the source and load, does not contribute to useful work, and is represented by Q=VISinθ. Apparent power is represented by S=VI and is equal to the square root of the sum of the squares of active and reactive power.
The functions of an excitation system are
to provide direct current to the synchronous generator field winding, and
to perform control and protective functions essential to the satisfactory operation of the power system
The performance requirements of the excitation system are determined by
Generator considerations:
supply and adjust field current as the generator output varies within its continuous capability
respond to transient disturbances with field forcing consistent with the generator short term capabilities:
rotor insulation failure due to high field voltage
rotor heating due to high field current
stator heating due to high VAR loading
heating due to excess flux (volts/Hz)
Power system considerations:
contribute to effective control of system voltage and improvement of system stability
1. The document discusses load characteristics that are important for determining power system requirements, planning plant capacity, and selecting generating unit sizes. It defines terms like demand, demand interval, load curves, and load duration curves.
2. Load curves show the load over time, while load duration curves rearrange the loads from highest to lowest. The total load is divided into base, intermediate, and peak loads.
3. The document also defines terms related to load factors like maximum demand, demand factor, average load, load factor, diversity factor, capacity factor, and plant use factor. It provides examples of calculating some of these factors.
This document provides guidance on setting calculations for transformer differential protection. It discusses examining CT performance, calculating winding "tap" values, and determining pickup points for the 87T, 87H, and 87GD elements. Key steps include checking CT and relay ratings, selecting tap settings, setting the 87T minimum pickup and slope settings, setting harmonic restraint values, and setting the 87H unrestrained high set differential pickup and delay. The goal is to provide high-speed protection while avoiding misoperation during conditions like inrush current.
This document contains the question bank for the subject EE 1351 Power System Analysis. It includes 18 multiple choice and numerical questions related to modeling components of a power system including generators, transmission lines and transformers. It also covers per-unit calculations, impedance and reactance diagrams, bus admittance matrices, symmetrical components and power flow analysis. Sample questions are provided on determining the per-unit impedances of components, drawing equivalent circuits, calculating sequence impedances and modeling various elements for power flow studies.
The document provides information about a PowerPoint presentation on Distributed Static Compensator (D-STATCOM) given by Sheikh Mohammad Sajid. It introduces D-STATCOM as a device used to mitigate current-based power quality problems at the distributed level. It discusses various classifications, topologies, components, control strategies and objectives of D-STATCOM, including reactive power compensation, load balancing and harmonic suppression. The key principles of operation involve injecting compensating currents from a voltage source converter to regulate voltage at the point of common coupling.
This document describes receiving end circle diagrams used to visualize load flow over a transmission line. It provides the following key points:
1) Receiving end circle diagrams are derived from voltage phasor diagrams and have different centers for the voltage circles, with a common active and reactive power axis.
2) They can be used to understand how an inductive or capacitive load will affect the reactive power supplied by the source.
3) The center of the receiving end circle is located based on the receiving end voltage magnitude and angle. The radius depends on the sending and receiving end voltage magnitudes.
4) The receiving end circle allows determining the total power received based on the operating point located from the known real power received
This document discusses per-unit analysis and impedance/reactance diagrams of power systems. It provides examples of calculating the per-unit values of components in a sample power system using given base values, and drawing the corresponding reactance diagram. It also works through another example of determining new per-unit values when changing the base values, and drawing the updated reactance diagram. The document is intended to teach per-phase and per-unit analysis techniques.
This document discusses fundamentals of alternating current (AC), including:
- AC voltage is generated as sinusoidal waves by power plants and used worldwide.
- Key definitions for AC waves include waveform, instantaneous value, peak amplitude, peak-to-peak value, cycle, period, and frequency.
- The basic mathematical form for a sinusoidal AC waveform is y = A sin(ωt), where A is the amplitude and ωt represents angular displacement over time.
- Root mean square (RMS) value represents the effective or heating value of AC and is calculated as the square root of the mean of the squares of the instantaneous values over one cycle.
- Average value of a symmetrical AC waveform is
This document discusses economic dispatch in power systems. It begins with an introduction that defines economic dispatch and optimal power flow problems. It then discusses various constraints in economic dispatch problems, including generator limits, transmission line limits, and reserve requirements. Different economic dispatch problems are examined, including ones that neglect transmission losses and include losses. The document also discusses unit commitment problems and provides an example of calculating the optimal dispatch to minimize total generation costs.
This document discusses the history and development of high voltage engineering. It begins with early experiments with static electricity by ancient Greeks. Key figures who contributed include Franklin, Faraday, Tesla, and Edison. Faraday's law established that a magnetic field can induce current in a wire. Advances allowed longer distance power transmission. Challenges included developing high voltage insulation. Numerical methods like finite element analysis are now used to model electric field distributions in complex high voltage components.
This document discusses AC power, power factor, and power factor correction. It defines active power, reactive power, and apparent power. It explains that power factor is the cosine of the angle between the voltage and current waveforms, and that most loads have a lagging power factor less than 1 due to their inductive nature. This causes issues like increased conductor size and utility charges. Power factor can be corrected by using static capacitors or a synchronous condenser to supply leading reactive current to balance the load's lagging current.
As the fifth in a series of tutorials on the power system, Leonardo ENERGY introduces its minute lecture on voltage and frequency control, using the analogy of a metal/rubber plate to demonstrate the centralised nature of frequency control, whereas voltage control is more a local matter.
The document discusses variable load problems in power plants. It defines key terms related to loads and demand such as load curve, load duration curve, load factor, demand factor, diversity factor, and plant factor. It explains that load varies over time due to different factors like type of service, day of week, season, and weather. Load curves graphically represent the variation in demand over time and are used to calculate important metrics. The document also provides examples of calculating metrics like load factor and presents sample problems.
1) A load curve shows the variation of load on a power station over time, with daily, monthly, and yearly curves. It is important for generation planning and economic dispatch.
2) A load duration curve arranges all load levels in descending order, with area under the curve representing total energy demanded. It is used for planning, dispatch, and reliability evaluation.
3) An integrated load duration curve plots units generated against load demand, obtained from the load duration curve. A mass curve plots accumulated supply or demand over time and is used to determine required storage capacity.
The document discusses unit commitment in power systems. Unit commitment involves determining which generating units to operate and when to operate them in order to meet the changing electricity demand at the lowest possible production cost while satisfying operational constraints. It describes the unit commitment problem and various constraints like minimum up/down times, ramp rates, reserve requirements, and start-up costs that make it more complex than economic dispatch. It provides a simple example to illustrate the concepts.
Unit 5 Economic Load Dispatch and Unit CommitmentSANTOSH GADEKAR
This document provides information on economic load dispatch and unit commitment in power systems. It discusses the input-output and incremental cost characteristics of thermal and hydro power plants. It also describes the equal incremental cost method for economic load dispatch using Lagrange multipliers. A numerical example with two generating units is provided to illustrate solving for optimal dispatch considering varying load demand over different time periods.
The document discusses power system security and smart grids. It defines power system security as the probability of the system operating within acceptable ranges given potential changes or contingencies. Contingency analysis is a major component of security assessment and involves defining possible contingencies, selecting important ones to evaluate, and ranking them by risk level. Voltage stability refers to the ability of a system to maintain steady voltages during disturbances and can be analyzed statically or dynamically. Smart grids use digital technology to monitor, control, and analyze the power system for more efficient transmission and integration of renewable energy.
Detailed presentation created on the topic of electrical power subject on the power system analysis. Shown about Ybus details, Ybus calculations, Power flow and design, Interconnected operation of power system etc.
Power system planning & operation [eceg 4410]Sifan Welisa
The document discusses power load forecasting and substation planning. It explains that accurate load forecasting is important for power system planning and operation. Several load forecasting methods are described, including those based on historical load data, economic factors, and standardized load curves. Load forecasts can be short, medium, or long-term. The document also discusses factors to consider in substation planning and design, such as location, equipment requirements, and configuration. Feasibility studies are important for assessing potential hydroelectric and substation projects.
The document discusses the operation of a thyristor-controlled series compensator (TCSC). It describes the basic components of a TCSC including its controller, capacitor, and thyristor-controlled reactor. It explains the three main modes of TCSC operation - bypassed thyristor mode, blocked thyristor mode, and partially conducting thyristor or vernier mode. The bypassed and blocked modes allow the TCSC to behave as a fixed capacitor or inductor. The vernier mode provides continuously variable capacitive or inductive reactance through phase-controlled thyristor firing.
This document defines and compares active power, reactive power, and apparent power in AC circuits. It states that active power is responsible for useful work, is represented by P, and is given by the relation P=VICosθ. Reactive power oscillates between the source and load, does not contribute to useful work, and is represented by Q=VISinθ. Apparent power is represented by S=VI and is equal to the square root of the sum of the squares of active and reactive power.
The functions of an excitation system are
to provide direct current to the synchronous generator field winding, and
to perform control and protective functions essential to the satisfactory operation of the power system
The performance requirements of the excitation system are determined by
Generator considerations:
supply and adjust field current as the generator output varies within its continuous capability
respond to transient disturbances with field forcing consistent with the generator short term capabilities:
rotor insulation failure due to high field voltage
rotor heating due to high field current
stator heating due to high VAR loading
heating due to excess flux (volts/Hz)
Power system considerations:
contribute to effective control of system voltage and improvement of system stability
1. The document discusses load characteristics that are important for determining power system requirements, planning plant capacity, and selecting generating unit sizes. It defines terms like demand, demand interval, load curves, and load duration curves.
2. Load curves show the load over time, while load duration curves rearrange the loads from highest to lowest. The total load is divided into base, intermediate, and peak loads.
3. The document also defines terms related to load factors like maximum demand, demand factor, average load, load factor, diversity factor, capacity factor, and plant use factor. It provides examples of calculating some of these factors.
This document provides guidance on setting calculations for transformer differential protection. It discusses examining CT performance, calculating winding "tap" values, and determining pickup points for the 87T, 87H, and 87GD elements. Key steps include checking CT and relay ratings, selecting tap settings, setting the 87T minimum pickup and slope settings, setting harmonic restraint values, and setting the 87H unrestrained high set differential pickup and delay. The goal is to provide high-speed protection while avoiding misoperation during conditions like inrush current.
This document contains the question bank for the subject EE 1351 Power System Analysis. It includes 18 multiple choice and numerical questions related to modeling components of a power system including generators, transmission lines and transformers. It also covers per-unit calculations, impedance and reactance diagrams, bus admittance matrices, symmetrical components and power flow analysis. Sample questions are provided on determining the per-unit impedances of components, drawing equivalent circuits, calculating sequence impedances and modeling various elements for power flow studies.
The document provides information about a PowerPoint presentation on Distributed Static Compensator (D-STATCOM) given by Sheikh Mohammad Sajid. It introduces D-STATCOM as a device used to mitigate current-based power quality problems at the distributed level. It discusses various classifications, topologies, components, control strategies and objectives of D-STATCOM, including reactive power compensation, load balancing and harmonic suppression. The key principles of operation involve injecting compensating currents from a voltage source converter to regulate voltage at the point of common coupling.
This document describes receiving end circle diagrams used to visualize load flow over a transmission line. It provides the following key points:
1) Receiving end circle diagrams are derived from voltage phasor diagrams and have different centers for the voltage circles, with a common active and reactive power axis.
2) They can be used to understand how an inductive or capacitive load will affect the reactive power supplied by the source.
3) The center of the receiving end circle is located based on the receiving end voltage magnitude and angle. The radius depends on the sending and receiving end voltage magnitudes.
4) The receiving end circle allows determining the total power received based on the operating point located from the known real power received
This document discusses per-unit analysis and impedance/reactance diagrams of power systems. It provides examples of calculating the per-unit values of components in a sample power system using given base values, and drawing the corresponding reactance diagram. It also works through another example of determining new per-unit values when changing the base values, and drawing the updated reactance diagram. The document is intended to teach per-phase and per-unit analysis techniques.
This document discusses fundamentals of alternating current (AC), including:
- AC voltage is generated as sinusoidal waves by power plants and used worldwide.
- Key definitions for AC waves include waveform, instantaneous value, peak amplitude, peak-to-peak value, cycle, period, and frequency.
- The basic mathematical form for a sinusoidal AC waveform is y = A sin(ωt), where A is the amplitude and ωt represents angular displacement over time.
- Root mean square (RMS) value represents the effective or heating value of AC and is calculated as the square root of the mean of the squares of the instantaneous values over one cycle.
- Average value of a symmetrical AC waveform is
This document discusses economic dispatch in power systems. It begins with an introduction that defines economic dispatch and optimal power flow problems. It then discusses various constraints in economic dispatch problems, including generator limits, transmission line limits, and reserve requirements. Different economic dispatch problems are examined, including ones that neglect transmission losses and include losses. The document also discusses unit commitment problems and provides an example of calculating the optimal dispatch to minimize total generation costs.
This document discusses the history and development of high voltage engineering. It begins with early experiments with static electricity by ancient Greeks. Key figures who contributed include Franklin, Faraday, Tesla, and Edison. Faraday's law established that a magnetic field can induce current in a wire. Advances allowed longer distance power transmission. Challenges included developing high voltage insulation. Numerical methods like finite element analysis are now used to model electric field distributions in complex high voltage components.
This document discusses AC power, power factor, and power factor correction. It defines active power, reactive power, and apparent power. It explains that power factor is the cosine of the angle between the voltage and current waveforms, and that most loads have a lagging power factor less than 1 due to their inductive nature. This causes issues like increased conductor size and utility charges. Power factor can be corrected by using static capacitors or a synchronous condenser to supply leading reactive current to balance the load's lagging current.
As the fifth in a series of tutorials on the power system, Leonardo ENERGY introduces its minute lecture on voltage and frequency control, using the analogy of a metal/rubber plate to demonstrate the centralised nature of frequency control, whereas voltage control is more a local matter.
The document discusses variable load problems in power plants. It defines key terms related to loads and demand such as load curve, load duration curve, load factor, demand factor, diversity factor, and plant factor. It explains that load varies over time due to different factors like type of service, day of week, season, and weather. Load curves graphically represent the variation in demand over time and are used to calculate important metrics. The document also provides examples of calculating metrics like load factor and presents sample problems.
1) A load curve shows the variation of load on a power station over time, with daily, monthly, and yearly curves. It is important for generation planning and economic dispatch.
2) A load duration curve arranges all load levels in descending order, with area under the curve representing total energy demanded. It is used for planning, dispatch, and reliability evaluation.
3) An integrated load duration curve plots units generated against load demand, obtained from the load duration curve. A mass curve plots accumulated supply or demand over time and is used to determine required storage capacity.
This Slides will help you to know the- what is the economics of power generation and how it is generated. The basic terminology used in power generation like demand factor, peak load, load curve, load factor, diversity factor, and at last you will also find out the methods used for calculating the Depreciation of materials.
1. The document discusses various concepts related to power system operation and control including load forecasting, load curves, frequency regulation, and load frequency control.
2. Key terms defined include load factor, plant capacity factor, maximum demand, plant use factor, diversity factor, demand factor, spinning reserve, and area control error.
3. Factors affecting load forecasting are discussed including the need for long term, medium term, and short term forecasting for various power system planning and operation purposes.
This document discusses different aspects of tariffs for electricity supply including objectives, types of tariffs, and key terms. It describes five main types of tariffs - simple, flat rate, block rate, two part, and maximum demand tariffs. It also covers related concepts like connected load, maximum demand, demand factor, diversity factor, load factor, reserves, load curves, and load duration curves.
The region has the following demands:
Domestic: 0.5MW from 6am to 12pm and 6pm to 12am.
Commercial: 0.2MW from 8am to 8pm.
Industrial: 0.3MW continuously.
To plot the daily load curve:
6am-12pm: 0.5+0.2+0.3 = 1MW
12pm-8pm: 0.2+0.3 = 0.5MW
8pm-12am: 0.5+0.3 = 0.8MW
Maximum demand = 1MW
Average load = (1MW for 6hrs + 0.5MW for 8h
This document discusses key concepts related to electrical distribution systems and load analysis. It describes the typical components of a distribution substation including high and low side switching, transformers, voltage regulators, and protection devices. It also discusses distribution feeder maps, the characteristics of distribution lines and components, and how to model different types of loads including load graphs, demand factors, diversity factors, and other metrics. Examples are provided to demonstrate calculating various load factors and diversity factors.
1. The document discusses the process of electrical load scheduling which involves estimating the instantaneous electrical loads in a facility in terms of active, reactive, and apparent power.
2. The key steps in load scheduling include collecting a list of expected loads, determining each load's electrical parameters, classifying loads, calculating each load's consumed power, and determining the operating, peak, and design loads.
3. Load scheduling is important for equipment sizing and power system studies to understand a facility's preliminary load details and provide input for the unit commitment and economic load dispatch problems.
EFFICACY OF NET METER IN ACE SOLAR POWER PLANTIRJET Journal
This document analyzes the efficacy of net metering in a 20kW solar power plant at ACE Engineering College. It discusses how a bi-directional net meter monitors the flow of power exported from the solar plant to the grid and power consumed by the college buildings. An annual load curve for the plant is generated using MATLAB based on net meter readings over 12 months. This load curve shows the maximum power generated was 14,100 units in March and the total annual generation was 136,220 units. It also examines power consumed by the college and exported to the grid on monthly and annual bases. The document concludes net metering helps track solar energy generation and consumption to better utilize power resources.
The load on a power station varies over time due to uncertain consumer demand. An ideal load would be constant, but in practice loads fluctuate. This variable load introduces challenges for power station operation. It requires additional equipment to adjust fuel and material flows to match changing demand levels. A variable load also increases production costs, as generators must be operated less efficiently at times of low demand to meet peak needs.
The document discusses variable load on power stations. It explains that the load on a power station varies over time due to changes in consumer demand. This variable load makes operating a power station complex, as generators need to adjust output to meet changing demand. Load curves are used to analyze and understand how load varies over different time periods, from daily to yearly. This information is important for selecting generator sizes and scheduling generator operation to meet peak demand periods.
International Journal of Engineering and Science Invention (IJESI)inventionjournals
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online
The document discusses various concepts related to electrical load on power stations. It defines key terms like connected load, maximum demand, average load, and load factor. It also describes demand factor, diversity factor, and capacity factor - which are ratios used to measure load utilization. Load curves and load duration curves are discussed as tools to analyze load variation over time. Load curves provide information about peak loads, total energy generated, and load factors. Load duration curves are used to select base and peak power plants based on minimum and maximum loads.
This document discusses various topics related to power plant engineering including:
- Definitions of terms related to electrical load such as connected load, maximum load, demand factor, load factor, diversity factor, plant capacity factor, plant use factor, and utilization factor.
- Significance of load curves and load duration curves in understanding power demand variations and selecting plant size.
- Factors that influence power tariffs including load type, time of use, power factor, and energy consumption. Different tariff types like flat demand tariff, straight line meter rate, block meter rate, two-part tariff, and three-part tariff are explained.
- Examples are provided to illustrate calculations of load factor,
Load types, estimation, grwoth, forecasting and duration curvesAzfar Rasool
It includes the detail analysis of the various types electrical load, how to estimatate the load, methods of load forecasting and explanation of the load duration curves.
Load Estimating and Calculating the Components of Solar Systemijtsrd
This document discusses the design of a solar power system for a village in central Myanmar. It estimates the village's daily energy load at 18 kW/day and maximum peak hourly load at 55 kW. The system components are then sized to meet this demand. The solar array will consist of 440 photovoltaic panels connected in 8 series strings of 55 parallel panels each, providing a total output of 252 volts. The battery bank will include 608 12-volt 200-ampere-hour lead-acid batteries connected in 16 series strings of 38 parallel batteries each. Other system components include a 600 ampere maximum power point tracker charge controller and a 70 kVA three-phase pure sine wave inverter. Calculations are shown
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1. Mr. Nitin S. Patil
Electrical Engineering Department
Sanjay Ghodawat Polytechnic, Atigre
Economics of Power Generation
2. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 2
Chapter No. 6
Economics of Power Generation
Hours: 08 Marks = 12
INDEX
Sr.
No.
Particulars
Page
No.
1 Definition of Economics of Power Generation 1
2 Variable Load on Power Station 1
3
Terms commonly used in system operation:
connected load, firm power, cold reserve, hot
reserve, spinning reserve
1-4
4
Curves used in system operation such as Load-
curve, load duration curve, integrated duration
curve. (Simple numerical based on plotting
above curves
5-11
5
Factors affecting the cost of Generation:
Average demand, Maximum demand, demand
factor, plant capacity factor, plant use factor,
diversity factor, load factor and plant load
factor (Simple numerical based on above)
12-19
6 Solved Examples 20-36
7 Important Technical Words & its Meaning 37
3. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 3
1. Definition of Economics of Power Generation:
The art of determining the per unit (i.e. one kWh) cost of production of
Electrical Energy is known as Economics of Power Generation.
2. Variable Load on Power Station:
The load on Power Station varies from time to time due to uncertain demands
of the consumers and is known as variable load on power station.
3. Terms commonly used in system operation: connected load,
firm power, cold reserve, hot reserve, spinning reserve.
1. Connected Load:
Definition: The Sum of Continuous rating of all the equipments (bulbs, tubes,
CFLs, Fans, Electrical Motors, Socket Outlets, and Power Plugs etc) connected to
Electrical Supply System is known as Connected Load.
, , ,
,
For Example: Students considered your house, in your house consist of
number of lamps=6, tubes=4, fans=5, 5A socket outlet=10, power plug=3 etc.
4. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 4
Then we have to calculate the Connected Load by using above mention
example.
Step-I: Assume Suitable Wattage for the above mentioned electrical accessories.
Step-II: Calculate used appliance total Load:
No. of Lamps = 6 (Each Lamp Wattage = 60 W), 6 x 60 = 360 Watts.
No. of Tubes= 4 (Each Tube Wattage = 40 W), 4 x 40 = 160 Watts.
No. of Fans= 5 (Each Fan Wattage = 60 W), 5 x 60 = 300 Watts.
No. of Socket Outlet = 10 (Each Socket outlet Wattage = 100 W), 10 x 100
= 1000 Watts.
No. of Power Plug = 3 (Each Power Plug Wattage = 1000 W), 3 x 1000 =
3000 Watts.
Step-III: (By using definition of Connected Load) Add all connected load:
Addition= 360W + 160W + 300W + 1000W + 3000W = 4820 W
Total Connected Load = 4820 Watt.
2. Firm Factor:
Definition: It is defined as, the theoretical (imaginary) value of power which a
power plant (Hydro, Thermal etc) is supposed to produce throughout a year or at
all time is known as firm power.
,
For Example: In Case of hydro power plant with reservoir, the firm power is that
power which a hydro electric plant supplies for 95% of the time. However, it is not
5. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 5
necessary that firm power should be produces throughout the year & available
under emergency conditions.
3. Cold Reserve:
Definition: It is defined as the reserve generating capacity which is available for
service but is not in operation.
,
4. Hot Reserve:
Definition: It is defined as the reserve generating capacity which is available in
operation but is not in service.
5. Spinning Reserve:
Definition: It is defines as the generating capacity which is connected to bus and is
ready to take load.
6. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 6
4. Curves used in system operation such as Load-curve, load
duration curve, integrated duration curve. (Simple numerical
based on plotting above curves.
1. Load Curve [ ]
Definition: The Load Curve is a Graph, which represents load on the generation
station (the load is in kW/MW) recorded at the interval of half hour or hour (time)
against the time in chronological order.
Or
The Load Curve is defined as the curve which is drawn between loads versus
time in sequential order. We have to draw the load curve on daily basis data,
weekly, monthly basis data.
Or
The curves showing the variation of load on the power station with respect
to time is known as load Curves.
7. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 7
The Load Curve gives following Information:
The daily load curve shows the variation of load on the power station during
different hours of the day.
The area under the daily load curve gives the number of unit generated in the
day. Unit generated/day= Area (in kWh) under daily load curve.
The highest point on the daily load curve represents the maximum demand
on the station on that day.
The area under the daily load curve divided by the total number of hours
gives the average load on the station in that day.
Average Load =
The ratio of the area under the load curve to the total area of the rectangle in
which it is contained gives the load factor.
Load Factor = =
=
8. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 8
The load curves helps in selecting the size & number of generating units.
The load curve helps in preparing the operation schedule of the station.
The curve which gives idea of load of a whole day with respect to time (24
Hours or 12 Hours of the day) is known as daily load curve.
The monthly load curve can be obtained from the daily load curve of the
month. For this purpose, average values of power over a month at different
times of the day are calculated.
The yearly load curve is obtained by considering the monthly load curve of
that particular year. The yearly load curve is generally used to determine
annual load factor.
Maximum Demand)
Average
Demand)
,
9. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 9
2. Load Duration Curve
Definition: When the load elements of a load curve are arranged in the order of
descending magnitudes, the curve thus obtained is called a load duration curve.
The load duration curve is obtained from the same data as load curve but the
ordinate representing the maximum load is represented to the left and the
decreasing loads are represented to the right in the descending order.
,
From the above figure (i) shows the daily load curve, the daily load duration
curve can be readily obtained from it.
10. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 10
From fig (ii), it is clear from the daily load duration curve that the
magnitudes of load elements are in descending order. The magnitudes are 20MW
for 8 Hours, 15MW for 4 hours & remaining 5 MW from 12 hours.
MW , MW , MW
Plotting these loads in order of descending magnitude, we get Daily Load
Duration Curve. (Shown in Fig. ii)
The Load Duration Curve gives following information:
The load duration curve readily shows the number of hours during which the
given load has prevailed.
The area under daily load duration curve (in kWh) will give the units
generated on that day.
The load duration curve, which helps to give information about annual load
duration curve.
. .
11. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 11
3. Integrated Duration Curve
Definition: The curve which represents the total number of units generated for the
given demand is called as Integrated Load Curve.
Fig. A Integrated Duration Curve
The above figure shows the Integrated Duration Curve, its X-axis represents units
generated in kWh & Y-axis represents Demand of load in kW.
Such type of curve can be drawn with the help of Load Duration Curve.
Fig B: Load Duration Curve
12. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 12
Consider Fig. B, let the demand of load can be represented at point A & it
corresponds to line AG (Refer Fig. A) on the load duration curve.
The number of unit generated (P1) corresponding to this load demand are
represented by area OAGF, it corresponds to point P1 on integrated duration curve.
Consider Fig B, let the demand of load can be represented at point B & it
corresponds to line BH (Refer Fig. A) on the load duration curve.
The number of unit generated (P2) corresponding to this load demand are
represented by area OAHF, it corresponds to point P2 on integrated duration curve.
Similarly, all the above mentioned sequence will help to draw Integrated Duration
Curve.
,
Integrated Duration Curve) X Axis
, Axis kW)
Integrated Duration Curve)
,
A Integrated Duration Curve)
B
B A AG
A P1 OAGF
. P2 , P3 Points
13. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 13
5. Factors affecting the cost of Generation: Average demand,
Maximum demand, demand factor, plant capacity factor, plant
use factor, diversity factor, load factor and plant load factor
(Simple numerical based on above)
1. Average Demand or Load: ( )
Definition: The average of loads occurring on the power station in a given period (day or
month or year) is known as average load or average demand.
The Average Demand is Calculated by using given formula:
a. Daily Average Load =
=
b. Monthly Average Load =
=
c. Yearly or Annual Average Load =
=
14. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 14
2. Maximum Demand (MD):
Definition: It is the greatest demand of load on the Power Station during a giving period
is known as Maximum Demand.[
]
Or
The maximum demand of the power station is equal to maximum load on the station
considered in a given period of time.[
Maximum Demand ]
Fig: Load Curve
We know that, the load on every power station in not constant. The load varies
from time to time. The variation of load on the power station is depends upon the demand
of load with respect to time.
Consider, the above figure, the figure X-axis Represents Time in Hours & Y-axis
represents Load in MW. In this figure, at every two hours give information about how
much load generated. Out of the 6MW load generated during evening period. So that
maximum Demand is 6MW.
The Knowledge of Maximum Demand is very important as it helps in
determining the installed capacity of the power station.
X-Axis Y-Axis
MW
Maximum Demand MW
15. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 15
3. Demand Factor:
Definition: It is the Ratio of Maximum Demand on the Power Station to its Connected
Load.
Demand Factor =
=
The value of Demand factor is usually less than 1. It is excepted because maximum
demand on the power station generally less than the connected load.
The knowledge of Demand Factor is vital in determining the capacity of the plant
equipments.
16. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 16
4. Plant Capacity Factor:
Definition: The Plant Capacity Factor is the ratio of average demand on the Power Station
divided by the maximum installed capacity of the power station.
.
Plant Capacity Factor =
=
Or
It is the ration of actual energy produced to the maximum possible energy that could have
been produced during a given period. [
].
Plant Capacity Factor =
=
The plant capacity factor is an indication of the reserve capacity of the plant.
,
Reserve Capacity = Plant Capacity Factor – Maximum Demand
=
17. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 17
5. Plant Use Factor:
Definition: It is the ratio of kWh generated to the product of plant capacity and
the number of hours for which the plant was in operation.
kWh X
Plant Use Factor =
=
Or
Plant Use Factor =
=
Plant use factor indicated how much is the plant capacity utilized, but it does not
indicate the time for which the plant remained idle.
.
18. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 18
6. Diversity Factor:
Definition: The Ratio of the sum of individual maximum demands to the
maximum demands on power station is known as Diversity Factor.
=
For the above mentioned formulae the value of diversity factor is more than 1
Or
Diversity Factor =
=
For the above mentioned formulae the value of diversity factor is less than 1
.
19. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 19
7. Load Factor:
Definition: The ratio of number of units actually generated in a given period to
number of units which could have been generated with the same maximum
demands is called as load factor for the station.
Or
The Ratio of Average Load to the Maximum Demand during a given period is
known as load factor.
Load Factor =
=
Assume that the plant is operation for ‘T’ Hours
T
Load Factor =
=
The load factor may be daily, monthly or yearly load factor, if the time period
considered is a day or month or year. The value of load factor is always less than 1
, ,
.
20. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 20
8. Plant Load Factor:
Definition: The Plant Load Factor is defined as the ration of output of power
station in kWh to the rated capacity of the plant.
.
Plant Load Factor =
=
The plant load factor indicated how best the plant capacity has been utilized but it
does not indicate the time for which the plant remained idle.
9. Unit Generated per Annum:
It is often required to find the kWh generated per annum form maximum demand
& load factor.
Load Factor =
Average Load = Maximum Demand X Load Factor
Units Generated/Annum = Average Load in kW X No. of Hours in a Year
Units Generated/Annum = Maximum Demand in kW X Load Factor X 8760
(No. of Hours in a Year)
21. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 21
6. Solved Examples:
1. The maximum demand on power station is 100 MW. If the annual load
factor is 40%, calculate the total energy generated in a year.
Given Data:
Maximum Demand = 100MW = 100 x 103
kW
Annual Load Factor = 40% = = 0.4
Total no. of days in year = 365
Total no. of hours in year = 365 X 24 hours of the day = 8760
To Find:
Total Energy Generated in a Year.
Formulae Used:
Energy generated in a year or Unit Generated/Annum = Maximum Demand
(in kW) X Load Factor X Number of hours in a Year
Solution:
Substitute all the values in given data to the above mentioned formula.
= (100 x 103
) x 0.4 x 8760
Answer:
Energy generated in a year = 3504 x 105
kWh
[ MW
x ^ kW
]
22. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 22
2. A generating station has a connected load 120MW & it supplies
maximum demand 60 MW. The numbers of units generated in a year
are 48 X 107
Calculate load & demand factor of generating station.
Given Data:
Connected Load = 120 MW = 120 x 103
kW.
Maximum Demand = 60 MW = 60 x 103
kW.
Number of units generated in a year = 48 X 107
To Find:
Load Factor
The demand factor of generating station.
Formula Used:
Load Factor =
Demand Factor =
Solution:
To calculate load factor by using above formula, substitute the value.
Load Factor = = 0.9132
To Calculate Demand Factor:
Demand Factor = = 0.5
----------------------------------------------------------------------------------------------------
Example for Practice: A generating station has a connected load 43MW & it
supplies maximum demand 20 MW. The numbers of units generated in a year are
61.5 X 106
Calculate load & demand factor of generating station. [
MW KW
]
23. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 23
3. A power supply agency, supplies the following load to different
consumers, its details given below:
o Domestic Load: Maximum Demand = 20000 kW, Diversity Factor
= 1.5, Demand Factor = 0.7
o Commercial Load: Maximum Demand = 20000 kW, Diversity
Factor = 1.4, Demand Factor = 0.8
o Industrial Load: Maximum Demand = 50000kW, Diversity Factor
= 1.2, Demand Factor = 0.9
If overall diversity factor is 1.6, determine:
1. Maximum Demand
2. Connected Load of each type of Consumer.
Given Data:
Sr.No. Particulars
Domestic
Load
Commercial
Load
Industrial
Load
System
Diversity
Factor
1
Maximum
Demand
20000kW 20000 kW 50000 kW
1.6
2
Diversity
Factor
1.5 1.4 1.2
3
Demand
Factor
0.7 0.8 0.9
To Find:
Maximum Demand
Connected load of Domestic, Commercial & Industrial Load.
Formula Used:
System Diversity Factor =
Connected Load =
Solution:
24. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 24
To Find System Diversity factor using above formula
Given System Diversity factor= 1.6 =
Maximum Demand of System = = 56250 kW
To find out connected load of Domestic type:
Connected load of Domestic Type = = 42857.14 kW
To find out connected load of Commercial type:
Connected load of Commercial Type = = 35000 kW
To find out connected load of Industrial type:
Connected load of Industrial Type = = 66666.67 kW
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Example for Practice:
A power supply system having the following loads:
Type of Load
Maximum
Demands
Diversity
Factor
Demand
Factor
Domestic 1500 1.2 0.8
Commercial 2000 1.1 0.9
Industrial 10000 1.25 1
If the Overall System Diversity Factor is 1.35, determine the maximum demand &
connected load of each type.
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25. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 25
4. A 200 MW power station delivers loads as detailed below:
o 180 MW for 3 Hours during a day.
o 100 MW for 6 Hours during a day.
o 20 MW for 3 Hours during a day.
o 5 MW for Remaining Hours during a day
The Plant is shut down for repair or maintenance work for a period of 30 days
in a year. Calculate the annual load factor of the plant.
Given Data:
200 MW Power Station Delivered Load given Below:
Delivered Load in MW No. of Hours
180 3
100 6
20 3
5 Remaining Hours
To Find:
The annual load factor of the plant.
Formula Used:
Annual Load Factor =
Energy generated/Year = Maximum Demand x load Factor x No. of hours plant works
Solution:
We know that the Maximum Demand is 200MW = 200 x 103
kW.
In one total year number of days = 365
But our plant is shut down for repair or maintenance = 30 Days
Total Number of Days in which Plant Work = 365-30 = 335 Days
26. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 26
Calculate Energy Generated/Annum:
By using above formula find out Energy Generated/Year:
= [(180 x3(hours)) + (100 x 6) + (20 x 3) + (5 x 12)] X 103
= 1260 x 106
kWh
Total Energy Supplied in Year = 1260 X 106
x 335 Days of Plant Works
Total Energy Supplied in Year = 1260 x 106
x (335 x 24 Hour) = 422100 x 103
kWh
Annual Load Factor = = 0.2625
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Example for Practice: A 100 MW Power Station delivers 100 MW for 2 Hours,
50MW for 6 Hours, and is shut down for the rest of each day. It is also shut down
for maintenance off 45 days each year calculates its annual load factor.
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27. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 27
5. A generating plant works on a maximum demand of 600MW. The
annual load factor being 60% and capacity factor is 30%. Find the
reserve capacity of the plant.
Given Data:
Maximum Demand = 600MW
Annual load factor = = 0.6
Capacity factor = = 0.3
To Find: Reserve Capacity of the Plant
Formula Used:
Reserve Capacity = Plant Capacity – Maximum Demand
Plant Capacity =
Energy Generated per annum = Maximum Demand x Load Factor x Number
of hours in a year
Solution:
Energy generated per annum = (600x103
) x 0.6 x 8760 = 3153600 x 103
kWh
Plant Capacity = = 1200 x 103
kW = 1200 MW
Reserve Capacity = 1200 – 600 = 600MW
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28. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 28
Example for Practice:
1. A Power Station has maximum demand of 15000kW. The annual load factor
is 50% & Plant Capacity factor is 40%. Determine the Reserve Capacity of
the Plant.
2. A Power Station has a maximum demand 0f 10 MW. The annual load factor
is 60% & plant capacity factor is 50%. Determine the reserve capacity of
plant.
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29. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 29
6. A generating station has a maximum demand of 40000kW and a
connected load of 70000kW. The number of units supplied annually is
28 x 107
Calculate load & Demand Factor.
Given Data:
Maximum demand = 40000kW
Connected load = 70000kW
Unit supplied per year = 28 x 107
To Find:
Load Factor
Demand Factor
Formula Used:
Load Factor =
Demand Factor =
Solution: Load Factor = = 0.799
Demand Factor = = 0.5714
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Example for Practice: A generating station has maximum demand of 20MW &
connected load of 40MW. The units generated being 60x106
per annum. Calculate
demand factor & load factor.
30. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 30
7. A generating station supplies the following loads:
Domestic Load 2000kW, Maximum Demand
Industrial Load 10000kW, Maximum Demand
Commercial Load 6000kW, Maximum Demand
Irrigation Load 3000kW, Maximum Demand
The diversity factor of these loads at the generating station is 1.5 &
average annual load factor is 55%. Calculate the maximum demand on the
station & total energy supplied by the plant in year.
To Find: Diversity Factor, Maximum Demand, Average load Factor & total
energy supplied by the plant in a year.
Formula used:
Diversity Factor =
Average Load Factor =
Energy Supplied per Year = load factor x Maximum Demand x Hours in Year
Solution:
By using Diversity Factor Formula:
1.5 =
Maximum Demand = = 1400 kW
By using Average Load Factor Formula
0.55 =
Total Energy Supplied in a Year = 0.55 x 1400 x 8760 = 6745200kWh
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Example for Practice: A diesel station supplies following loads to various consumers:
Domestic=100kW, Commercial=750kW, Industrial=1500kW & Domestic light = 450kW. If the
maximum demand of the station is 2500 kW& Energy generated per year is 45 x 105
Calculate
Diversity & Load Factor.
31. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 31
8. The peak load on a power station is 30MW. The loads having maximum
demands of 25, 10, 5 & 7 MW are connected to the power station.
Capacity of the power station is 40MW & annual load factor is 50%.
Calculate: average load, energy supplied per year, demand factor &
diversity factor.
Given Data:
Peak Load or Maximum Demand = 30MW
Capacity of Power Station = 40 MW
Annual Load Factor = 50% = = 0.5
To Find:
Average Load
Total Energy Supplied per Year
Demand Factor
Diversity Factor
Formula Used:
Load Factor =
Energy Supplied /Year = Load factor x Maximum Demand x Hours in year
Demand Factor =
Diversity Factor =
Solution:
By using the formula of load factor:
0.5 =
Average load = x 0.5 = 15 x 103
kW
32. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 32
Energy Supplied per Year = 0.5 x 30 x 103
x 8760 = 131,400,000 kWh
Demand Factor = = 0.63
Diversity Factor = = 1.56
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Example for Practice:
The peak load on power station is 40 MW. The loads having maximum
demands of 30 MW, 5MW, 8MW are connected to power station. The annual
load factor is 50%. Find: Average load on Power Station, Demand Factor,
diversity Factor & Load Factor.
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33. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 33
9. A Generating Station has the Following Daily Load Cycle:
Time in Hours 0-6 6-10 10-12 12-16 16-20 20-24
Load in MW 40 50 60 50 70 40
Draw the load curve and Find: Maximum Demand, Unit Generated per
annum, average load & load Factor.
For all above the given problem is totally different from other.
Given Data: Required data is given to the above table
To Find: Maximum Demand, Unit Generated per annum, average load & load
Factor
Formula Used:
Unit Generated/Annum = Maximum Demand x Load Factor x Hours in day
Average Load =
Load Factor =
Solution:
Draw the Load Curve:
In previous section we have studied what is meant by load curve & what it
indicates or how it can be drawn.
With reference to the given data in the above table, we draw the load curve. For
this purpose we take shows on X-axis Time & Y-Axis Load.
There are total 24 hours of the day, for X-Axis it is divided into TWO hours &
load is in increasing order of 10 on Y-Axis.
34. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 34
Fig: Load Curve
Maximum Demand: From the above curve it is clear that, the maximum load is 70 MW.
Unit Generated per Annum: = Area (in kWh) under the daily load curve.
= [(40 x 6) + (50 x 4) + (60 x 2) + (50 x 4) + (70 x 4) + (40 x 4)] x 103
Unit Generated per Annum = 12 x 105
Average Load = = 50,000 kW
Load Factor = = 0.714
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Example for Practice: The daily load curve on a generating station is as given below:
Draw the Load Curve & Calculate: Load Factor, Average Demand & Energy Generated
per Day.
Time in Hours 0 to 5 5-7 7-10 10-13 13-15 15-19 19-22 22-00
Load in MW 5 7 10 12 8 12 15 10
36. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 36
10.A Power Station has the Following Daily Load Cycle:
Time in Hours 6-8 8-12 12-16 16-20 20-24 24-6
Load in MW 20 40 60 20 50 20
Plot the Load Curve & Load Duration Curve. Calculate the Energy
Generated per Day.
Given Data: Required Data is given in above Table:
To Find: Energy Generated per Day.
Formula used:
Energy Generated per Day = Area under (in kWh) daily load curve.
Energy Generated per Day = Area under (in kWh) daily load duration curve.
Solution:
While draw the load curve, first up all we need to axis X & Y respectively.
Take Time in Hours in X-Axis & load in MW in Y Axis & Draw the load
curve.
Fig: Load Curve
37. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 37
While Drawing the Load Duration Curve, same procedures repeat. Take
Time in Hours in X-Axis & Load in MW in Y Axis.
In load duration curve, we know that to arrange all the load order in
descending magnitude (take highest load first then order in descending
magnitude)
Fig: Load Duration Curve
For load curve & load duration curve calculate Energy Generated per Day
Energy Generated per Day = Area (in kWh) under daily load or load duration curve
= [(60 x 4) + (50 x 4) + (40 x 4) + (20 x 12)] x 103
= 840 x 103
kWh
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Example for Practice: A Generating Station has the Following Daily Load Cycle:
Time in Hours 0-6 6-10 10-12 12-16 16-20 20-24
Load in MW 50 70 90 75 100 40
Plot the Load Curve & Load Duration Curve. Calculate the Energy
Generated per Day.
38. SGP-Atigre Electrical Engg.Dept.
Mr. N.S.Patil 38
7. Important Technical Words & its Meaning
Economics of Power
Generation:
Cost of Generation:
Factor:
Connected Load:
Load duration curve:
Average demand:
Maximum demand:
Demand Factor:
Capacity factor:
Use Factor:
Diversity Factor:
Load Factor:
Variable load:
Kilo watt hour:
Consumer:
Definition:
Daily:
Monthly:
Annual or yearly:
X 8760
Descending: