Lecture 03 Introduction : Part 3 — Transcript
Full transcript
- 0:00[music]
- 0:06[music]
- 0:11[music]
- 0:22[music]
- 0:25>> Welcome back all of you.
- 0:27So, today is the last part of the
- 0:29introduction.
- 0:30Earlier we studied some basic
- 0:32definitions and
- 0:34the classification of energy sources,
- 0:36the definition of renewable energy and
- 0:38the need for renewable energy
- 0:40followed by
- 0:42Indian energy scenario and global energy
- 0:44scenario. Like what is the primary
- 0:45energy consumption, what is the
- 0:47electricity consumption.
- 0:49So, in those
- 0:50scenarios
- 0:51you might have seen the diagrams which
- 0:53we have drawn in some
- 0:56specific format.
- 0:57So, those balancing diagrams or the
- 1:00like pictorial representation of the
- 1:03flow of any quantity, whether it's mass,
- 1:05energy, money, it's called a Sankey
- 1:07diagram. So, in today's lecture we'll
- 1:09study about
- 1:11what is Sankey diagram, how to draw it,
- 1:13and how it can be used in the energy
- 1:15sector.
- 1:16Uh followed by two very important
- 1:18concepts in the power sector. One is
- 1:21capacity factor and other is the load
- 1:23factor. Both are associated with the
- 1:26power plants
- 1:27which run on different fuels.
- 1:29And load factor is mainly on the
- 1:30utilization basis. And what's the
- 1:32difference and how both of them
- 1:35help
- 1:36like either electricity producers or the
- 1:39consumers
- 1:40to manage their supply and demand
- 1:42respectively, that we'll see in this
- 1:44lecture.
- 1:46So, Sankey diagram
- 1:48it is a specific type of flow diagram
- 1:51and mainly used for visualization of
- 1:54material, cost
- 1:56or energy flows
- 1:58on a system level or regional level.
- 2:02Okay, we can draw a Sankey diagram
- 2:04for a small reactor, for a small unit,
- 2:07or an entire power plant, or we can draw
- 2:10it for
- 2:11regions like for a town, city, state, or
- 2:14a country, or even we can represent the
- 2:16global energy uh supply and demand using
- 2:20a Sankey diagram.
- 2:21It helps to identify the important
- 2:24contributions to a flow.
- 2:27Mainly
- 2:28based on the size of the arrow or the
- 2:30width of the arrow, it can tell us
- 2:33which of the flows or whose contribution
- 2:36is higher and uh whose contribution is
- 2:38lower. And it shows conserved quantities
- 2:41within defined system boundaries.
- 2:43Conserved quantities means
- 2:45suppose if input energy is, let's say,
- 2:49100 MJ to a system,
- 2:51output has to match
- 2:53100 MJ.
- 2:55It can include
- 2:56losses as well as useful part of the
- 2:58energy, but since
- 3:00input was total 100,
- 3:03total output including losses has to
- 3:04match 100, then only the
- 3:08Sankey diagram would be balanced and can
- 3:09be drawn correctly. So, that's the one
- 3:11basic requirement.
- 3:13It should It is applicable to the
- 3:15quantities which can be conserved.
- 3:18It has directed arrows.
- 3:20The directions of the arrow
- 3:23shows the uh supply to demand or like
- 3:26from where to where
- 3:28the energy is transferring or mass is
- 3:30transferred or money is flowing. Okay.
- 3:33And it has directed arrows between at
- 3:35least two nodes.
- 3:37It can have multiple nodes like higher
- 3:39than two nodes also. Suppose energy is
- 3:41transferred from A to B.
- 3:44So, we can represent it by one arrow,
- 3:46but if energy is transferred from A to
- 3:48B, C, D, multiple, so we can have
- 3:51multiple arrows. Okay. So,
- 3:54it has directed arrows and it should
- 3:56have at least two nodes and it can have
- 3:59higher nodes also, which features in
- 4:00different flows in a process, production
- 4:02system or a supply chain.
- 4:04And
- 4:06the most important thing
- 4:08after these two points, one is
- 4:11quantity should be conserved.
- 4:14Second,
- 4:15at least two nodes should be there so
- 4:17that it has directed arrow
- 4:19to show the direction of the flow.
- 4:21And third is the width of the arrow
- 4:24should be proportional to the flow
- 4:25quantity. For example, if we represent
- 4:29this width
- 4:30by the value
- 4:31say 10 MJ.
- 4:33So, obviously the 5 MJ should be
- 4:36something
- 4:37half of this. Okay. It cannot be like
- 4:40very small or it cannot be bigger than
- 4:4310 MJ. So, that proportionality should
- 4:45be maintained and the width of the arrow
- 4:48it is proportional to the quantity of
- 4:50the flow.
- 4:52And this Sankey diagram, though in the
- 4:54definition or in the first line I
- 4:56mentioned it can be used for material,
- 4:57cost or energy, it can be used for
- 4:59multiple quantities in wide range of
- 5:01applications, like energy, material,
- 5:04supply chain, business, marketing
- 5:05analysis. It's a widely used tool.
- 5:08Let's look at some examples so it is
- 5:10more clear to you. We'll start with some
- 5:12simplistic examples and then we'll look
- 5:14at some detailed one. How it can be
- 5:17helpful to visualize complicated or uh
- 5:20comprehensive system in a simplistic
- 5:22manner.
- 5:23This is a Sankey diagram for a typical
- 5:25electric hand dryer. So, you know how
- 5:27electric hand dryer works.
- 5:29You plug
- 5:31the socket into the switchboard and
- 5:33switch on the button.
- 5:35And uh the electricity the electrical
- 5:37energy is converted to kinetic energy
- 5:40because there is a blower a fan which
- 5:43blows the air hot air.
- 5:45It makes a lot of sound also, hand
- 5:47dryers, so sound energy. And then it
- 5:50provides hot air, so there is a
- 5:51generation of heat, thermal energy. So
- 5:53most of this heat is going to thermal
- 5:56energy, so you can see if this width
- 6:00is represented by 750,
- 6:04this is representing 550, it's
- 6:07proportional, and these two widths are
- 6:10150 and 125.
- 6:13Just now, like that based on the
- 6:15definition what I told, I think this
- 6:18diagram is giving a wrong representation
- 6:21because 150 J line cannot be thinner
- 6:26than 125 J, right? Either this should be
- 6:31150 and this can be 125 to make it
- 6:35correct, or else the values should have
- 6:37been changed or the width of the arrows
- 6:39should be changed. Okay. So this example
- 6:43which we have shown, even though
- 6:45some representation, the conversion and
- 6:47flow is correct, the Sankey diagram is
- 6:50wrong. This is a mistake there.
- 6:52The second example is of energy balance
- 6:55for a coal power plant.
- 6:57So you know what happens in coal power
- 6:59plant, you burn coal and then generate
- 7:02steam in boiler, which goes and runs
- 7:04turbines, and then it is connected to
- 7:06the generator which generates
- 7:07electricity.
- 7:09So if you just do a basic simple Sankey
- 7:12diagram depending on
- 7:13the coal's potential energy which is
- 7:16supplied to the power plant. So almost
- 7:1935 to 40% in the is the efficiency of
- 7:21power plant. So 35% is converted to
- 7:24electricity, almost 45% is lost, and 10
- 7:2810% are lost or either used in power
- 7:32generation or is lost in generator. So
- 7:35you can see this Sankey diagram is
- 7:37much more appropriate and correct. We We
- 7:40don't know the values, but if we know
- 7:42the percentage wise, that also that
- 7:45representation is also
- 7:47correct. In fact,
- 7:49more than the values, percentage wise
- 7:51representation is easy for decision
- 7:53makers to understand. Because once there
- 7:55are values, we'll have to do some
- 7:57addition and subtraction and then
- 7:58convert it to percentage to find it out.
- 8:01But, Sankey diagram,
- 8:03the picture itself gives you the clear
- 8:06indication like which of the flows are
- 8:08important, which of the flows are not
- 8:11important, which of the flows represent
- 8:12useful energy, which of the flows
- 8:14represent losses. Just by looking at the
- 8:16width of the arrow, we can tell that.
- 8:18This is a Sankey diagram for a solar PV
- 8:20power plant, a detailed one where all
- 8:23the
- 8:23major power plant inputs or components
- 8:25are concerned.
- 8:27So, that's the solar energy incidence.
- 8:29Let's assume that
- 8:3110,000 MW hour is the energy incident on
- 8:34that solar PV array field.
- 8:36>> [snorts]
- 8:36>> So, out of 10,000 MW hour, almost 20% is
- 8:40converted to power, that is DC power,
- 8:43and 80% is lost, either as thermal
- 8:46losses, 78% and optical losses, like say
- 8:492%.
- 8:51Then, this DC power generated, it goes
- 8:53to the power conversion system
- 8:55where we convert it to AC. And inverters
- 8:58usually have high efficiency. So, out of
- 9:002,000, you can see almost 1,800
- 9:03is converted to the AC power with
- 9:0750 and 150 MW hour getting lost, either
- 9:10as DC losses or as inverter losses.
- 9:13And then, when it is sent to the
- 9:15substation or step-up transformer, and
- 9:18what we can use actually,
- 9:21it is little less than 1,800, that is
- 9:231,760,
- 9:25because
- 9:26in stepping up or substations, there are
- 9:29not huge losses. So,
- 9:31small amount of electricity or energy is
- 9:33lost in those stages. So, you can see
- 9:37this is also one way of representing the
- 9:38Sankey diagram or the energy flows.
- 9:41Where
- 9:42in the middle of the arrows, we are
- 9:44representing a
- 9:46system. Like what is the stage at which
- 9:49that transformation is happening. So,
- 9:51here it's a solar PV array field. There
- 9:53is an input energy going, output energy
- 9:56going.
- 9:56Then we have power conversion system,
- 9:59where we have input and output. Then we
- 10:01have substation and transformer, where
- 10:03again we have input and output. So, this
- 10:06is This way also we can represent the
- 10:09flow using a Sankey diagram. And last
- 10:11one,
- 10:12or maybe I think couple of them. For
- 10:15fixed bed downdraft gasifier. So, it's
- 10:17like for biomass.
- 10:19If you have a like big gasifier,
- 10:23you add
- 10:24biomass
- 10:26feed into it. And it's a downdraft
- 10:28gasifier, so the producer gas
- 10:31will come from the bottom.
- 10:33And then the ash will be collected at
- 10:35the bottom only, because there is a grid
- 10:38above which the feed stocks will rest.
- 10:40From here you can send air or any
- 10:42gasification agent.
- 10:44So,
- 10:45and typically in downdraft gasifiers,
- 10:47along with biomass, to prepare the
- 10:49initial bed, we may use some
- 10:52coal also. Like one or two kg coal for
- 10:5540 kg batch reactor. And that way, so
- 10:58the energy which is going into the
- 11:00gasifier, it is coming mainly from
- 11:02biomass and coal. And the energy which
- 11:05is coming out of the gasifier, it is
- 11:07coming mainly in the form of producer
- 11:08gas and the sensible heat of producer
- 11:10gas.
- 11:12>> [snorts]
- 11:12>> So, this is the gasifier,
- 11:14the batch
- 11:16downdraft gasifier.
- 11:17And you can see it's like almost 2 m
- 11:20tall height for this 40 kg batch.
- 11:23Pellets are fed into the gasifier, the
- 11:25biomass pellets and the coal.
- 11:28So, the energy wise you can see, and
- 11:30since coal is a very small amount, like
- 11:32say 2 kg or 1 kg or 3 kg or 2.5 kg, and
- 11:36pellets would be like 38 kg or 37 kg. Uh
- 11:39so, based on the calorific value, we
- 11:40have the energy going in.
- 11:42And whatever is converted to producer
- 11:44gas, the cold producer gas, it is around
- 11:4751%.
- 11:48And since the gas which is coming out of
- 11:52the gasifier, it would be very hot. It
- 11:53will have some sensible heat also. So,
- 11:55that accounts for almost 17%. So, the
- 11:58energy efficiency of gasifier If you
- 12:00talk about thermal energy efficiency, so
- 12:02it's like 51 plus
- 12:0417. So, almost 68 69% and if you're
- 12:08talking about cold gas efficiency, it is
- 12:1051%. So, Sankey diagram also helps you
- 12:13to calculate the efficiency of the
- 12:16process. And then there are some losses
- 12:18of energy which goes with the residue or
- 12:21as a heat loss.
- 12:23This is the last example for supply and
- 12:25demand of hydrogen globally and the unit
- 12:28is million metric tons. So, at present
- 12:32if you take into account the global
- 12:35hydrogen supply and demand with respect
- 12:37to 50 million metric ton,
- 12:39we know that most of the hydrogen is a
- 12:42gray hydrogen.
- 12:44Gray hydrogen is the one which is
- 12:45produced from fossil fuels, mainly by
- 12:48steam reforming of natural gas and
- 12:51coal or
- 12:53naphtha.
- 12:54Okay. So, you can see the 20 out of 50,
- 12:57almost 23, 15, and 10. So, very like
- 13:03almost 45% more than 90% of the hydrogen
- 13:06is coming from fossil sources.
- 13:09And very small amount,
- 13:11like less than 5% or close to 5% is
- 13:14coming from
- 13:15electrolysis and renewable grid. Now,
- 13:19that accounts total for 50 million
- 13:21metric tons. Where is it being actually
- 13:24used?
- 13:25So, most of the hydrogen is used in the
- 13:28refineries
- 13:29and in fertilizer sector or
- 13:31ammonification. Like we convert it into
- 13:34ammonia, ammonium nitrate.
- 13:37And in refineries, there are two
- 13:38processes which consume a lot of
- 13:40hydrogen. It is hydrocracking and
- 13:42hydrotreating. So, 17 + 47 again, 45%
- 13:47is consumed in the
- 13:49two sectors only. And very small amount
- 13:51of fractions of hydrogen are used in
- 13:53fuel cells, metal glass industries, food
- 13:56beverages, pharmaceuticals, and
- 13:58plastics. And accordingly, you can see
- 14:00the width of the arrows in the Sankey
- 14:02diagram
- 14:03are changing.
- 14:05So,
- 14:06one way
- 14:07to understand global hydrogen supply and
- 14:09demand would be going through a lot of
- 14:11data which is in the form of a table
- 14:13taken from variety of sources of
- 14:15literature.
- 14:16And that way is this Sankey diagram
- 14:19which is in a very
- 14:21simplistic way gives us a overall like
- 14:26overview of entire hydrogen supply and
- 14:28demand throughout the globe. So, that
- 14:31way Sankey diagram is very helpful to
- 14:33make representations
- 14:36of either energy or the supply and
- 14:38demand related to energy and energy
- 14:40quantities.
- 14:41The next
- 14:43topic that we are supposed to cover is
- 14:45capacity factor.
- 14:47So, it is related to the power plants.
- 14:50So, as the name indicates,
- 14:52like every power plant has some
- 14:54installed capacity. Like let's say we
- 14:56set up a 1 MW power plant.
- 14:59If it is a rated capacity,
- 15:01when we actually use that power plant,
- 15:04we won't be able to get 1 MW because
- 15:06there are certain
- 15:08many reasons
- 15:09because of which we cannot operate the
- 15:12plant to its fullest capacity. There
- 15:14would be certain losses. There maybe
- 15:16there is sometimes there is shutdown.
- 15:18Okay? And efficiencies are limited.
- 15:21So, if the plant is rated at 1 MW
- 15:24capacity and we are unable to run it at
- 15:28full of its capacity because of certain
- 15:30reasons,
- 15:31so whatever capacity we are running,
- 15:33that will help us calculate the capacity
- 15:35factor of that power plant.
- 15:37So, there are two terminologies
- 15:39which defines the capacity factor. One
- 15:41is installed capacity and second is the
- 15:43actual electricity generation.
- 15:45So, what is installed capacity?
- 15:47If you remember the first lecture slide,
- 15:50in India, how much we have installed
- 15:52capacity? Almost
- 15:54524 GW.
- 15:56That's our installed capacity.
- 15:59And even if we run it
- 16:01for say 24 hours a day,
- 16:04it won't be giving us 524
- 16:07into 24
- 16:08because each of the power plants
- 16:12based on different sources will have
- 16:13different capacity factors.
- 16:15So, installed capacity is maximum rated
- 16:18output of a power plant.
- 16:20And that maximum output can be produced
- 16:23under ideal conditions, which hardly
- 16:25exist. Unit will be in watt, kilowatt,
- 16:28megawatt, or gigawatt.
- 16:29And actual electricity generation is
- 16:32what we are actually getting. Like what
- 16:34is being produced through that power
- 16:36plant over a specific period of time.
- 16:38So, you multiply that
- 16:40power by time and you get kilowatt hour,
- 16:42megawatt hour, or gigawatt hour. That's
- 16:44the actual electricity generated.
- 16:46Now, capacity factor is the ratio of
- 16:48actual generation by installed capacity.
- 16:51Okay? So, it is always going to be less
- 16:54than one because we cannot generate more
- 16:57than what it is designed for.
- 16:59So, ratio of actual output over a period
- 17:01of time
- 17:03to its potential output if the plant
- 17:06operates at full installed capacity
- 17:08indefinitely or continuously.
- 17:10So, in the form of formula, you can
- 17:12write it as megawatt hours of actual
- 17:14electricity generated upon rated
- 17:16capacity or sometimes it is also called
- 17:19as nameplate capacity
- 17:21and into time.
- 17:23So, if once we have these three
- 17:25quantities, we can easily calculate the
- 17:27capacity factor for any of the power
- 17:29plants.
- 17:30So, by different energy sources, these
- 17:33are some of the numbers in 2024
- 17:36and you can see nuclear, geothermal, and
- 17:39gas based and they have much higher
- 17:41capacity factors than coal, hydro, wind,
- 17:45and solar and the simple cycle of
- 17:47natural gas.
- 17:49So, you can see
- 17:51the renewables have
- 17:53lower
- 17:55capacity
- 17:57factor.
- 17:58And why is that?
- 18:00Because sun, wind,
- 18:02they are not available all the time.
- 18:03They are intermittently available and
- 18:07so power plant won't be able to operate
- 18:09for 24 hours day and night in all the
- 18:11seasons.
- 18:12Whereas,
- 18:13like the power plants which run on
- 18:16nuclear, geothermal, or even coal, if we
- 18:18have sufficient fuel
- 18:21in our storage,
- 18:23it can be operated continuously. It is
- 18:26possible to achieve higher capacity
- 18:28factor in these power plants. Like
- 18:30nuclear, very small quantity of fuel is
- 18:32able to produce lot of power.
- 18:34And that much is already kept in the
- 18:37stock, so we don't need to rely on daily
- 18:39supply. Whereas in coal power plant,
- 18:42even though it is possible to do like
- 18:44store, but because of lower energy
- 18:47density, much lower energy density than
- 18:50nuclear fuel,
- 18:51we need
- 18:53huge amount of coal on a daily basis.
- 18:55So, storage is not possible for a long
- 18:58period and that's why
- 19:00it doesn't go to as high capacity as
- 19:03nuclear. But in geothermal, again it is
- 19:05dependent on the earth's interior heat,
- 19:09which is not affected mainly by the
- 19:11seasons or day and night. So, it can be
- 19:14operated continuously. The reasons for
- 19:17these plants going at lower capacity
- 19:19other than the source of energy, there
- 19:21may be some additional reasons related
- 19:22to maintenance and operations
- 19:25or reliance on utilities or ancillary
- 19:28consumption of electricity. So, all
- 19:30these factors would design would govern
- 19:32the capacity factors.
- 19:34The reasons for reduced capacity factor,
- 19:36some of them are listed here. Plant is
- 19:39out of service maybe. There may be some
- 19:41operational and maintenance issues or
- 19:43labors are on leave or on strike. If
- 19:46they are absent, then the plant can be
- 19:48out of service and it will be operating
- 19:50at reduced capacity factor.
- 19:52Uh intermittency and unavailability.
- 19:55For renewable sources, this is a big
- 19:57problem. It won't be available for all
- 19:59the time, 24/7.
- 20:01And for other fossil fuels,
- 20:04there may be
- 20:06like less availability or varied
- 20:07availability. Like biomass, it may not
- 20:09be available throughout the year in
- 20:10required quantity. So, that's another
- 20:12reason.
- 20:13Grid curtailment.
- 20:15Sometimes
- 20:18because of the reduced demand, the grid
- 20:20may be over supplied and electricity is
- 20:22not actually needed. So, when that
- 20:24scenario is clear, the power plants
- 20:26would prefer to operate at lower
- 20:28capacity because whatever electricity
- 20:30they are producing, it may not be
- 20:31required and grid is already over
- 20:34supplied. Economic dispatch.
- 20:37If for certain power plants, the
- 20:39production cost of electricity is higher
- 20:42than the market price of electricity.
- 20:44So, during such time,
- 20:46they won't prefer to run it and produce
- 20:48electricity because it's not going to be
- 20:50profitable. So, that's economic reason.
- 20:53Then many power plants, they sometimes
- 20:56go for ramping and starting up times
- 20:58vary
- 20:59which changes their efficiency. So,
- 21:01those are the other reasons. And now
- 21:04with global warming and climate change
- 21:05taking the central picture on the globe.
- 21:08Environmental regulations
- 21:09also sometimes ministries can instruct
- 21:12or pollution control boards can instruct
- 21:14power plants to operate at lower
- 21:15capacity during certain times of the
- 21:18year. Because like in North India during
- 21:21the months of winter
- 21:23during time of harvesting of rice crop
- 21:26the pollution increases a lot, air
- 21:29pollution. So that time the power plants
- 21:30in the nearby area may be asked to
- 21:33operate at lower capacity. So that net
- 21:35emissions
- 21:36coming from at least power plant are
- 21:38reduced and the conditions are well
- 21:40taken care of. So these are different
- 21:42reasons
- 21:43for reduced capacity factor.
- 21:45There may be few more.
- 21:47Let's take one example on capacity
- 21:50factor like how do we calculate it and
- 21:53how it is useful.
- 21:55So plant A, let's say nuclear plant, has
- 21:57a rated capacity of 50 MW.
- 22:00And it produces 40,000 MW hour in 1,000
- 22:03hours.
- 22:05Plant B
- 22:07it's a solar based plant has a rated
- 22:09capacity of 100 MW and produces 20,000
- 22:12MW hour
- 22:13in 1,000 hours.
- 22:15Which plant has a higher capacity
- 22:16factor?
- 22:17If you remember that figure which I
- 22:19showed like the comparative capacity
- 22:21factors of different power plants answer
- 22:24is obvious nuclear is going to have
- 22:25higher capacity factor. Let's check for
- 22:28this numerical.
- 22:29So
- 22:30what will be the capacity factor for
- 22:33nuclear power plant?
- 22:35Actual electricity generated, how much
- 22:37it is?
- 22:3940,000.
- 22:43And
- 22:44what is the nameplate capacity?
- 22:47Or rated capacity it's 50 MW
- 22:49into
- 22:52operating for 1,000 hours.
- 22:54So 40 4, it comes out to be around
- 22:57.8 that is
- 22:5980%.
- 23:01So capacity factor is 0.8 for nuclear.
- 23:04Capacity factor for solar, similarly,
- 23:08it is producing 20,000 MW
- 23:11hour.
- 23:12Rated capacity is
- 23:15100.
- 23:16Operates for 1,000 hours.
- 23:21So, 2 by 10
- 23:24point
- 23:26two.
- 23:27So, obviously, the capacity factor for
- 23:29nuclear is much higher than
- 23:31solar. So, nuclear
- 23:34base plant, that is plant A, has a
- 23:36higher capacity factor than plant B.
- 23:40Now, what is the significance of
- 23:42capacity factor? Like, once
- 23:44we know what is the capacity factor,
- 23:48or based on the value of the capacity
- 23:49factor,
- 23:51how does it help the different
- 23:53stakeholders involved in the power
- 23:55sector?
- 23:56The first
- 23:57significance is
- 23:58it actually help to determine what is
- 24:01the actual energy generation over time.
- 24:03If we know the periodic capacity factor
- 24:05for a power plant, we have some idea
- 24:07that, okay, in 1 year, this much energy
- 24:09can be generated.
- 24:11It drives the cost of electricity.
- 24:13Because, if capacity factor is higher,
- 24:16per unit cost would be lower.
- 24:18Once the plant is installed,
- 24:20already we have put the capital cost.
- 24:23For operational cost, it won't vary much
- 24:26with the changing capacity, except for
- 24:27the
- 24:29cost of the fuel, but other costs
- 24:31may be like constant. So, if we have the
- 24:34higher capacity factor,
- 24:35per unit electricity cost is going to be
- 24:38lower. So, it drives the project
- 24:41financial viability also. It directly
- 24:43affects the revenue, internal rate of
- 24:45return, and payback period for the power
- 24:47plant operator or owner.
- 24:49It indicates resource availability and
- 24:51site quality.
- 24:52If you have like historic data of
- 24:54capacity factors or
- 24:56uh for a
- 24:57We can like based on the capacity
- 25:00factor, some indications can be made
- 25:02based on whether the resource or the
- 25:03fuel is available. Uh and what is the
- 25:06quality of the
- 25:07site to produce power.
- 25:11It supports grid reliability and
- 25:12planning, and it prevents overestimation
- 25:14of installed capacity.
- 25:16Suppose we have a solar-based power
- 25:18plant in one part of the world, and we
- 25:22know its installed capacity and capacity
- 25:24factor.
- 25:25So, while planning a similar power plant
- 25:27in some other part of the world, having
- 25:30knowledge of the capacity factor of
- 25:31those power plants will help
- 25:33overestimation of installed capacity in
- 25:35other parts of the world. So, that way
- 25:37it is a
- 25:38a significant value. So, that was all
- 25:40about capacity factor.
- 25:41The last point for today, that is load
- 25:44factor.
- 25:46So, just like capacity factor is from
- 25:48the production side, like the supply
- 25:50side, the power plant side, load factor
- 25:52is from the utilization side. It It is
- 25:54defined as the ratio of average load
- 25:57over a given period of time
- 25:59to the maximum demand or the peak load
- 26:02occurring in that period. So, this load
- 26:04or demand is from customer side. Okay,
- 26:07it's from the grid
- 26:08user side.
- 26:11In the in terms of definition, it's
- 26:12average load by peak load. Average load
- 26:14is total energy generated. Peak load is
- 26:18the maximum demand
- 26:20into time.
- 26:22So, it actually determines how
- 26:24efficiently we are using the energy
- 26:25which is produced.
- 26:27Capacity factor tells us how much of the
- 26:29energy is actually produced compared to
- 26:32its rated capacity.
- 26:33And once that energy is produced, how
- 26:35efficiently we are able to use it, that
- 26:38is determined by the load factor.
- 26:40So, basically,
- 26:43it's a load factor which can influence
- 26:45or govern or give some idea to capacity
- 26:47factor, and not vice versa.
- 26:49Okay, demand can
- 26:53like help change or manage the supply.
- 26:56But supply won't manage the or like
- 26:59govern the demand.
- 27:01So demand patterns can determine how
- 27:03much of the installed capacity is to be
- 27:05actually utilized. So if the load factor
- 27:07is high
- 27:08it will ask or it will
- 27:11force power plants to operate at higher
- 27:12capacity factor. But even if power
- 27:15plants can operate at higher capacity
- 27:17factor, but if the load factor is low,
- 27:19it will
- 27:20give some relaxation to the power plants
- 27:22and ask them to operate at lower
- 27:24capacity.
- 27:25Let's take one
- 27:27numerical example where we have this
- 27:29combined concepts of load factor and
- 27:31capacity factor.
- 27:33A coal-fired power station, it has rated
- 27:35capacity 1,000 MW.
- 27:38It is designed to supply power to a
- 27:40nearby city whose peak demand in summer
- 27:43reaches maximum of 800 MW. So we have
- 27:47peak demand is 800 MW. Rated capacity is
- 27:521,000.
- 27:54Annual average power consumption is
- 27:57600.
- 27:59The coal plant always generate exactly
- 28:01what the city demands. Calculate load
- 28:04factor of city's usage and capacity
- 28:07factor of the power plant for that year.
- 28:10So let's calculate load factor first.
- 28:13It's the
- 28:14average load by peak load. So average
- 28:16load is
- 28:17600 MW for that city.
- 28:20Peak load is
- 28:22800 which reaches certain times during
- 28:24summer mainly.
- 28:26So 600 by 800 it comes out to be
- 28:2875%.
- 28:30So load factor is 75%. It means the
- 28:32city's demand is almost 75% steady.
- 28:37And the grid or the utility, they have
- 28:39to keep some extra equipment ready to
- 28:42manage that 800 MW peak demand.
- 28:46Or else most of the year the city needs
- 28:48only 600
- 28:50MW.
- 28:51But even if for 1 day, if it is reaching
- 28:54800 MW, the
- 28:57equipment has to be ready. So, utility
- 29:00has to keep that much extra equipment
- 29:02ready. So, that's
- 29:03what governs the load factor. It is
- 29:06based on the demand of the city and how
- 29:08they are using the power. Now, what is
- 29:10the capacity factor?
- 29:11Actual generation by
- 29:14the installed capacity. So, installed
- 29:16capacity is 1,000.
- 29:18Actual generation
- 29:20average is
- 29:21600, but sometimes it needs 800 also.
- 29:26So,
- 29:27if you look at actual energy produced
- 29:30based on the annual average,
- 29:32annual average is 600 MW.
- 29:35It's for 1 year. So, 1 year it's 365
- 29:38days
- 29:40into 24 hours. It comes out to be 8760
- 29:43hours. So, if you multiply by that, you
- 29:46will get five some MW hour.
- 29:49And the maximum potential energy or the
- 29:53installed capacity, it's a 1,000 MW.
- 29:57It is when you multiply it for 1 year,
- 29:598760, it comes out to be 876 trip four
- 30:03times zero.
- 30:05So, capacity factor would be the ratio
- 30:06of these two, actual energy produced
- 30:08upon rated capacity into time,
- 30:12which is around 60%.
- 30:14So,
- 30:16capacity factor of the plant is 60%.
- 30:18Load factor is 75%. What is the
- 30:22significance of these two values?
- 30:25See, 75% of load factor means it is a
- 30:28high value actually. It tells us the
- 30:30city has a fairly consistent demand for
- 30:34power throughout the year.
- 30:36Okay? And capacity factor of 60% tells
- 30:39us
- 30:39even though it's slightly lower value
- 30:41compared to load factor, we say that
- 30:44plant is oversized.
- 30:46Because the demand is 600 MW, we have
- 30:48designed the plant for 1000 MW. Uh but
- 30:52even though let's forget about the
- 30:54average demand of 600 MW, even if we
- 30:56take the highest 1 day or 2 day demand
- 30:59of 800 MW,
- 31:01that is the highest need,
- 31:03our plant is still over designed. So, if
- 31:06the highest demand is 800 MW, I think
- 31:10even 810
- 31:12or 820 MW plant would have solved the
- 31:16city's situation. So, that way
- 31:19load factor or capacity factor can help
- 31:22us guide whether the
- 31:25supplies proper, whether the demand is
- 31:27proper, and based on the demand,
- 31:30how to manage or govern the supply.
- 31:33Let's look at like comparative
- 31:35distinguishing or differences between
- 31:36the two factors
- 31:38based on different features.
- 31:40The capacity factor and load factor,
- 31:42the perspective is capacity factor is
- 31:44based on the supply side. It measures
- 31:47utilization and performance of the power
- 31:48plant, okay, based on its capacity and
- 31:51based on actual electricity generation.
- 31:53Load factor, it's on the demand side. It
- 31:56measures the consistency and efficiency
- 31:58of consumption or use of energy. Once it
- 32:01is produced, how efficiently, how
- 32:03consistently it is being used, that
- 32:05tells us
- 32:06that is told by load factor. Primary
- 32:09variable here in capacity factor is
- 32:11rated capacity.
- 32:13It is a fixed quantity. It's a
- 32:16hardware limit, it's a physical hardware
- 32:19limit of that power plant. It cannot go
- 32:20beyond that particular number.
- 32:23But load factor, it depends on the peak
- 32:25load or the demand, which is
- 32:27human-centric. So, it's a variable and
- 32:29behavioral metric. It's not fixed or
- 32:31constant.
- 32:33Capacity factor indicates the
- 32:34reliability of plant,
- 32:36the availability of resource, and
- 32:39operational efficiency of the power
- 32:40plant.
- 32:42Whereas load factor, it tells us how
- 32:44stable the grid is, how efficiently the
- 32:48electricity infrastructure is being
- 32:49used. How efficient are the
- 32:51transmissions and
- 32:53how efficient are the
- 32:54usage appliances
- 32:56which consumes the electricity.
- 32:59The preferred value for both the factors
- 33:01is obviously the higher the higher the
- 33:02value,
- 33:03better would be the cost. So, if we have
- 33:06a high capacity factor,
- 33:07it can help us lower the unit
- 33:10electricity cost and for quick recovery
- 33:12of capital cost.
- 33:13Because whatever is money is being
- 33:15invested in setting up that
- 33:17infrastructure, it is a capital cost.
- 33:19And to be able to recover that capital
- 33:21cost soon, maximum utilization of that
- 33:26setup is preferred.
- 33:28High load factor is also desirable
- 33:30because it will tell whether the demand
- 33:33is steady or not. And once it is known
- 33:37that demand of electricity or any like
- 33:39power
- 33:40in a region is consistent and steady,
- 33:43accordingly the new power plants can be
- 33:45designed.
- 33:47Primary stakeholders who would be
- 33:49interested in capacity factor values
- 33:51would be the owners of the plants,
- 33:53operators, and investors who put money
- 33:54in the power plant, like mainly on the
- 33:57generation side, supply side.
- 33:59For load factor, it will be mainly the
- 34:01utility companies, the grid operators,
- 34:03and consumers who are
- 34:07involved in once that electricity is
- 34:09produced, how to transmit or distribute
- 34:12it and how to consume or use it.
- 34:14So,
- 34:15that this sort of summarizes the
- 34:17difference between these two factors.
- 34:19One is capacity factor, other is load
- 34:22factor. So, I think that was all for
- 34:24today's lecture. Just to summarize,
- 34:28we started with Sankey diagram, which is
- 34:30used to represent or the visualization
- 34:33of different quantities. It can be mass,
- 34:36energy, cost.
- 34:38You can represent all the values which
- 34:40can be easily conserved.
- 34:42It should have direction between at
- 34:45least two nodes or multiple nodes and
- 34:48the width of the arrow should be
- 34:50proportional to the
- 34:52numerical value or the magnitude.
- 34:54Capacity factor,
- 34:56it tells us actual electricity generated
- 34:59by installed capacity and it's governed
- 35:02by the supply side. Load factor, it's
- 35:05the average load by peak load and it is
- 35:08governed by the demand side. And then we
- 35:10saw couple of numericals related to
- 35:12capacity factor and load factor to help
- 35:15you understand these concepts.
- 35:16So with that, we'll stop here. Thank
- 35:18you.
- 35:30>> [music]
- 35:40[music]
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