ES10026
Examensarbete 30 hp December 2010
Power quality in low voltage
grids with integrated microproduction
mårten einarsson
Teknisk- naturvetenskaplig fakultet UTH-enheten
Besöksadress:
Ångströmlaboratoriet Lägerhyddsvägen 1 Hus 4, Plan 0
Postadress:
Box 536 751 21 Uppsala
Telefon:
018 – 471 30 03
Telefax:
018 – 471 30 00
Hemsida:
http://www.teknat.uu.se/student
Abstract
Power quality in low voltage grids with integrated mircroproduction
mårten einarsson
This report seeks to evaluate and predict possible power quality issues regarding Fortums engagement in the project of Stockholm Royal Seaport. Stockholm Royal Seaport is a city district planned by Stockholm Municipality to be constructed based on sustainable urban city principles. Fortum has, together with additional partners, engaged in the challenge to create a sustainable energy system.
This is thought to be achieved through several measures. Energy saving actions are in-corporated at several levels and there is a plan to create a “smart grid” for the electricity supply. A smart grid has no strict definition but in this case a key feature is
“demand-response” which effectively means a way to optimize the consumption to have a more balanced consumption over the 24 hours of a day.
One of the key components in the smart grid is the “active house” which is planned to have several specific features separating it from an ordinary house. It is planned to have its own contribution to electricity production using solar cells and an energy storage using batteries. Another feature is thought to be both automation and economic incentives measures to achieve peak load reduction.
This thesis has taken the perspective of the end customer in the active house and has tried to evaluate the power quality to be experienced. An investigation regarding the dif-ferent components has been carried out to get an overview from the mentioned perspective and identify possible problems or issues that may require attention in the realization of Stockholm Royal Seaport.
It has been found that no major problems are to be expected but some smaller issues has arisen that might be worthwhile giving some attention.
Examinator: Kjell Pernestål Ämnesgranskare: Mats Leijon
Handledare: Jan-Olof Olsson, Johan Lundin
Sammanfattning
Den här rapporten syftar till att evaluera och förutspå eventuella elkvalitetsproblem för Fortums engagemang i projektet Norra Djurgårdsstaden. Norra Djurgårdsstaden är en stadsdel i Stockholm planerad av Stockholms stad i hållbarhetens tecken. Fortum har, till- sammans med ytterligare aktörer, engagerat sig i att skapa ett hållbart energisystem.
Detta är tänkt att uppnås genom flera åtgärder. Energibesparingsåtgärder utförs på flera plan och man tänker sig implementera ett koncept man kallar ”smarta nät” för elförsörj- ningen. Ett smart nät kan definieras på flera olika sätt men här handlar det mycket om att styra elkonsumtion för att uppnå en jämnare elförbrukning över dygnet.
En av baskomponenterna i det tänkta smarta nätet är det ”aktiva huset” som planeras ha ett antal speciella egenskaper jämfört med ett ordinärt hus. Man tänker sig egen elproduk- tion i form av solceller samt energilagring med hjälp av batterier. Man tänker sig också olika former av mjuka och hårda styrmedel för att kontrollera elkonsumtion.
Examensarbetet har utgått från slutkund i det aktiva huset och har sökt utvärdera vad denne kommer att uppleva i form av elkvalitet. Man har tittat på de olika komponenterna för att bilda en helhetsuppfattning ur det givna perspektivet och identifiera eventuella pro- blem eller frågeställningar som kräver uppmärksamhet inför genomförandet av projektet Norra Djurgårdsstaden.
Examensarbetet har börjat med att definiera begreppet elkvalitet som utgångspunkt. Det är väldigt vagt formulerat i svensk lagstiftning utan grundar sig på branschpraxis som utgår ifrån ett antal europeiska standarders. Vidare förs en diskussion om vem och vad som på- verkar elkvaliteten i nätet.
Därefter görs en grov ekonomisk uppskattning kring problem orsakade av elkvaltetsfe- nomen. Olika rapporter från forskningsorganet Elforsk har gåtts igenom och citeras på uppgifter kring samhällsmässiga, företagsmässiga och privata utgifter i relaterade till dålig elkvalitet.
Det görs sedan en mer teknisk utvärdering av problemet. Här börjar man i den tilltänkta applikationen, solceller, för att ta reda på vilka elektriska egenskaper denna har. Dessa egenskaper har sedan tagits som mall för att utvärdera möjliga elkvaltetsproblem uppkom- na i Norra Djurgårdsstaden.
Man har funnit att det inte väntas uppkomma några större problem men har identifierat några punkter som kan komma att kräva lite noggrannare övervägning.
Nyckelord: elkvalitet, lågspänningsnät, solceller, mikroproduktion, smarta elnät, Norra
Djurgårdsstaden
Innehållsförteckning
1 Background 10
1.1 Stockholm Royal Seaport ... 10
1.2 Actors and research goals ... 10
1.3 Distributed generation ... 11
1.4 This thesis relation to the over all goal ... 11
2 Theory 12 2.1 The power grid of today ... 12
2.2 Future grid ... 12
2.3 Motivation to a Power Quality study ... 13
2.3.1 Voltage drop ... 13
2.3.2 Less traditional loads ... 15
2.3.3 Phase asymmetry ... 15
3 Power Quality 16 3.1 General and definition ... 16
3.2 A brief description of the phenomena [V] ... 17
3.2.1 Outage... 17
3.2.2 Frequency variations ... 17
3.2.3 Phase angle ... 17
3.2.4 Transients ... 17
3.2.5 Harmonics ... 17
3.2.6 Voltage variations ... 17
3.2.7 Flicker ... 18
3.2.8 Asymmetry ... 18
3.3 Regulations and Guidelines ... 18
3.4 Official documents ... 18
3.5 Crude guidelines ... 19
3.6 Actual threshold values ... 19
3.7 Comments to EN 50160 ... 21
4 Dangers and implications of bad power quality 22 4.1 Fortums distributing role ... 22
4.2 Protection ... 22
4.3 Common customer damage claims ... 23
4.4 A theoretical example ... 24
4.5 Costs related to power quality on a national scale ... 24
4.6 Discussion about power quality costs ... 25
4.7 Good power quality is sought ... 26
5 Solar cells 28 5.1 History ... 28
5.2 Functionality ... 28
5.3 Electrical characteristics ... 29
5.4 Output of power ... 32
6 Other components in Stockholm Royal Seaport 33
6.1 General ... 33
6.2 PV generation and batteries ... 33
6.3 Electric cars ... 34
7 Detailed descriptions of PQ phenomena and its effects 36 7.1 Outage ... 36
7.1.1 Outages in Stockholm Royal Seaport ... 37
7.2 Frequency variations... 37
7.2.1 Frequency deviations in Stockholm Royal Seaport ... 38
7.3 Phase angle ... 38
7.3.1 Phase angle in Stockholm Royal Seaport ... 38
7.4 Transient over voltages... 38
7.4.1 Transients in Stockholm Royal Seaport ... 39
7.5 Harmonics ... 39
7.5.1 Harmonics in Stockholm Royal Seaport ... 40
7.6 Voltage variations ... 40
7.6.1 Swells ... 41
7.6.2 Dips ... 41
7.6.3 Current transients ... 41
7.6.4 Voltage variations in Stockholm Royal Seaport ... 42
7.7 Flicker ... 42
7.7.1 Flicker in Stockholm Royal Seaport ... 43
7.8 Asymmetry ... 43
7.8.1 Asymmetry in Stockholm Royal Seaport ... 44
7.9 Summary ... 44
8 Conclusions 46
Acknowledgements 49
1 Background
1.1 Stockholm Royal Seaport
Stockholm municipality has taken an initiative to carry out a large scale replanning of a city district through an organization called Stockholm Innovation. This district is located around Hjorthagen and Värtahamnen and the project goes under the name Stockholm Royal Seaport.
The main focus of this new city district revolves around sustainable urban solu- tions. The project is part of Clinton Climate Initiative which is a cooperation be- tween 40 cities across the world to reduce greenhouse gases emissions. The CCI acts as a forum for the participants to exchange experiences in order to promote advances within the field 1 .
1.2 Actors and research goals
Together with ABB, Fortum has joined the project from its position as leading provider of electricity and heat. The idea is to create a full scale test site for a con- cept called “smart grid” that is looked upon as very promising in the struggle to fight climate change. There is no strict definition of what a smart grid is but gener- ally all mentioned properties of a smart grid refer to different ways to optimize electricity generation, transmission and consumption in a smart way. A key feature of the smart grid planned for Stockholm Royal Seaport is the utilization of demand – response technology. This effectively means that one wants to smoothen out the power consumption over a 24 hour horizon, e.g. decrease consumption peaks and move consumption to times when consumption is lower. This is also thought to be achieved through energy storage[II].
1
www.clintonfoundation.org, march 2010
1.3 Distributed generation
Another aspect of Fortums involvement in the Stockholm Royal Seaport project is the addition of micro production of electricity. For the specific case of Stockholm Royal Seaport, this means electricity production from solar cells. This project is supposed to be a forerunner of things to come. There are strong indications that the electrical environment is about to change from its traditional layout to a much more diversified system with new components to take into account. Small scale production units, connected in locations where the grid was not originally de- signed to connect them, is such a thing. This is generally a widely accepted way to reach goals of renewable energy input set up by both Swedish authorities and European guidelines.
1.4 This thesis relation to the over all goal
The goal of this thesis project has been to look at what can be expected to be the
implications of such a change in the providing electrical system from the end cus-
tomers point of view. The focus will be on power quality, what problems can be
expected, how harmful these problems are expected to be and how to address
them.
2 Theory
2.1 The power grid of today
The distribution network of tradition is built up around big powerful production units. These units generate onto a core grid that transports the power in high volt- age to the different consumers. Some industrial consumers that are heavy power consumers are connected to the grid on the high voltage side and a regular domes- tic consumer is typically connected at the low voltage side.
Fig 1. Schematic view of traditional power gridFel! Hittar inte referenskälla.
2.2 Future grid
The trend within the electricity sector is pointing towards a more diversified grid
concept. It is expected that the future grids will be more diversified in both genera-
tion and consumption[II]. This is a feature of the subtle expression “smart grids”.
Substation
User 240V
230V
Substation
User 230V
220V
Fig 3. Voltage upped at the substation to meet demand
This thesis takes aim at providing a small piece of the puzzle in exploring how distributed generation can affect the power quality in the low voltage grid. The thesis is generally focused a bit more on solar power generation but as we will see later on, the conclusions draws can be applied to other power sources.
Fig2. Schematic view of a more diversified expected future power gridFel! Hit- tar inte referenskälla.
2.3 Motivation to a Power Quality study
Why, then, should any problems with power quality be expected approaching this future view of the grid? Below follows a theoretical example and other reasoning intended to illustrate how this diversified generation might affect the end user. The example is of course greatly simplified but aims to describe a real phenomenon in the grid today.
2.3.1 Voltage drop
When moving down in voltage, the current must be increased in order to transmit the same amount of power. This leads to an increase of
thermal losses. Thermal losses causes a voltage drop over
the given transmission line. In areas with a weak grid these
losses can be of a non negligible magnitude and will result in
a lower voltage at the end user than at the substations low
voltage side. This is traditionally dealt with by upping the
voltage at the transformer to give the end user a good volt-
age[I].
Substation n
230V
240V 240V
250V
User Producer
Fig 4. Over voltage at end consumer when back-feeding the grid
Now we consider the case of the end user becoming a small scale producer of electricity. If he produces a larger amount of electricity than he consumes he will probably try to export the excess onto the grid. This means that he will have to overtake this voltage differential. Twice. This will effectively put him at 250V in the example illustrated. If the production originates from a stochastic energy source, such as solar photovoltaic, it would also give large instant fluctuations when quickly switch- ing between 250V and 230V.
This voltage drop can be seen in the grids of today, see fig 5.
Fig 5. Screenshot from the computer program “Power Grid” used by Fortum
2.3.2 Less traditional loads
The deviations from nominal power properties do not only depend on the feeding from the substation. They also heavily depend on the properties of the electrical load that the power is supposed to drive. The example above with voltage fluctua- tions is greatly simplified. For example, a grid with many electrical motors as loads has energy stored in the rotating mass of both the motor itself and its con- nected mechanical load. The grid therefore has an inertia counteracting the sudden voltage change described above. This phenomenon is a stabilizing factor in large interconnected grids and works better the higher the short circuit power is.
However, the continuing trend regarding the composition of electrical loads points toward a lower percentage of mechanical loads and motors and a higher percentage of micro and macro electronical loads[IV]. The mentioned regulating inertia, also known as frequency regulation, is therefore predicted to have a some- what smaller impact in the future. This suggests that an external support for grid stabilization might have to be considered.
2.3.3 Phase asymmetry
The ideal state of power is perfectly symmetrical three phase at nominal sinusoidal
voltage. But not all equipment we use run on three phase power. In practice, the
tradition has been to roughly divide the one phase loads between the phases. This
works quite well. However, in the case of small scale production one might not
consider the idea of three different inverter systems for one installation to be rea-
sonable. To add production in one phase would potentially cause symmetry prob-
lems.
Fig 6.Schematic view of different Power Quality phenomena
3 Power Quality
3.1 General and definition
The concept of power quality is not strictly defined. It varies with the requirements of the consumer and the electrical characteristics of the load of the consumer.
Therefore the responsibility of maintaining a good electrical environment falls upon both the distributor, the manufacturer of the application and the user of the application.
There are, however, several phenomena that can cause problems of different mag- nitude for a grid connected user. Examples of these are harmonics, voltage varia- tions, asymmetry between phases, frequency deviations and so on. All of these phenomena describe states that in some way deviate from the nominal state of the electrical characteristics, see fig 6.
- One can therefore define power quality as the absence of these phenom- ena.
Frequency variations
Distorted Phase Angle
(Active/Reactive power)
Voltage characteris- tics
Asymmetry Harmonics
Transients
Flicker Voltage
variations Power
Quality
Outage
3.2 A brief description of the phenomena [V]
3.2.1 Outage
Outage describes a state where the power supply is cut. This is defined as below 10% of nominal voltage. Outages are in many documents labelled “service reli- ability” and treated as a different kind of problem not really related to power qual- ity issues.
3.2.2 Frequency variations
Deviances from the nominal frequency which is in Sweden set to 50 Hz. Theo- retically, any node of an interconnected (AC) grid should have the exact same fre- quency. This is not the whole truth in reality. Weak parts of the grid have more local frequency issues in general than strong parts of the grid. Frequency devia- tions also tends to become an issue when dealing with islanding or closing in on such a state.
3.2.3 Phase angle
Refers to a situation where the voltage and current goes slightly out of phase to one another. This is created by the inductive part of the impedance of both trans- mission equipment and loads where motors and generators are significant con- tributors.
3.2.4 Transients
A temporary increase in voltage. Usually occurs when large units are connected or disconnected from the grid or by the act of thunder. A transient can increase the voltage by an order of magnitude lager than the nominal voltage. This does not however mean that they contain a large amount of energy as they are usually very short in time and low on current.
3.2.5 Harmonics
Signals of a frequency that is a multiple of the nominal frequency are called harmonics and are potentially very harmful.
3.2.6 Voltage variations
Called ”Swells” in the case of an increase and ”dips” in the case of a decrease.
Needs to be in effect over a couple of periods to qualify as swells rather than tran-
sients.
Fig 7. Citation of the Swedish law of electricity 3.2.7 Flicker
A quite subjective phenomena. The term “flicker” refers to the variations in light emitted by light bulbs. It is hard to define electrically and has a definition based on the perception of the human eye.
3.2.8 Asymmetry
The unbalance between the phases of a three phase system. An unbalance oc- curs when one or more of the phases displays a slightly different voltage, current or deviates from the 120 degrees phase shift supposed to be there.
3.3 Regulations and Guidelines Ellagen 3 kap §9:
” 9 § Den som har nätkoncession är skyldig att på skäliga villkor överföra el för annans räkning.
Överföringen av el skall vara av god kvalitet.
En nätkoncessionshavare är skyldig att avhjälpa brister hos överföringen i den utsträckning kostnaderna för att avhjälpa bristerna är rimliga i förhål- lande till de olägenheter för elanvändarna som är förknippade med bristerna.
Regeringen eller den myndighet som regeringen bestämmer får meddela föreskrifter om vilka krav som skall vara uppfyllda för att överföringen av el skall vara av god kvalitet. Lag (2005:1110).”
3.4 Official documents
Fig 7 is a quote from the Swedish legislation. It states that the transmission of power should be of good quality. Furthermore it states that the operator is obli- gated to remedy possible faults of the transmission to an extent that the benefit is reasonable in proportion to the cost[VII]. The legislation is in other words open to interpretation. The operator is legally obligated to measure amount of consumed electrical energy and its distribution over time for a connected consumer. There are however not any legal obligation to measure voltage quality[VI].
What is considered to be good power quality in Sweden is commonly agreed to be
in line with the guidelines provided in the European standard EN 50160; “Voltage
characteristics of electricity supplied by public distribution systems”. This stan-
dard provides threshold values for the supply voltage of a given grid. All of the phenomena in fig 6 are described there. It is however erroneous to only discuss the supply side of a given node. The electrical environment is also dependant of the dynamics of the load connected. Therefore, another series of standards have been developed called EN 61000 “Electromagnetic Compatibility (EMC)” with many subdocuments called EN 61000-1-2 etc. This series of standards specify how the connected equipment should behave electrically.
Together these sets of documents paint a picture of how the electrical envi- ronment should behave.
3.5 Crude guidelines
Many large installations require better power quality than the values allowed by the EN 50160[I]. Such installations may be process industry or something alike and are generally also large consumers. In those cases it is common for the pro- vider, consumer and manufacturer to through a discussion reach a level of quality that is most beneficial. This is the most cost effective way to deal with power qual- ity issues but puts high demands on the competence of the consumer in order to be feasible.
3.6 Actual threshold values
A good overview of the document EN 50160 can be found in an interpretational
document called “voltage disturbances”[VIII]. Here we also see the comparison to
the EN 61000 document sets which gives a better perspective on the regulations
for electrical environment.
Fig 8.Table of threshold values of EN 50160 and EN 61000 [VIII]
3.7 Comments to EN 50160
It is important to keep in mind that the strife for good power quality should not be a goal in itself. Many (or actually most) applications do not require perfect power quality and it is therefore unreasonable and uneconomical to create an environ- ment with perfect power quality. The stakeholders should instead, through a dis- cussion, settle on a level that is most beneficial for all parts. Industries and com- mercial consumers also in general require a higher level of power quality.
The EN 50160 is under revision. A European cooperation is undergoing to re- vise this standard and a set of recommendations have been presented by ERGEG and is supposed to be accepted as changes to the existing version[VII].
The above mentioned EN 50160 set to describe the properties of the supply vol-
tage is limited to only apply under normal operating conditions. This of course
means that when an event occurs, planned or unforeseen, the grid is immediately
outside of normal operating conditions and a customer cannot claim the protection
of EN 50160.
4 Dangers and implications of bad power quality
To further motivate the conduction of this study some words regarding the conse- quences of bad power quality should be mentioned.
4.1 Fortums distributing role
Fortum is because of their position as electricity provider responsible for the prod- uct they deliver, namely electricity. Therefore they occasionally get damage claims from customers who have in some way received a bad product. Since the legislation in Sweden is open to interpretation[VI] and measurements at a single user are very seldom carried out, a big lack of information is common in such cases. A section within Fortum that works with damage claims handles the re- ceived claims and cross check the time of the reported incident with records of non ordinary behaviour in that region of the grid. This can be due to repairs, malfunc- tions of equipment or new installations in the area. But over all the information is scarce, especially specific details about exactly what has electrically happened at the feeding point of an end consumer.
4.2 Protection
The low voltage grid is protected only by breakers that react to large currents and short circuits. There is traditionally no protection against voltage variations[IX].
This is due to the fact that the voltage is relatively stable which means that high currents represent high powers. High powers are what is dangerous to persons and property. This is regulated by elsäkerthetsverket in Sweden and follows more strictly defined regulations than power quality since it is considered a safety issue.
The simple principal of this is that the series of interconnected conductors that
constitutes the grid always are dimensioned for a maximum power flow. A breaker
is installed as the weakest link of a section of conductors and will hence trip and
cut power at a set value of current flow to protect the installation. This principal is
used in all voltage levels of the grid and manifests itself at the end consumer as a fuse.
4.3 Common customer damage claims
Many of the problems reported to Fortums damage claim coincide with faults on the zero conductor. Modern installations in buildings include a residual-current device (jordfelsbrytare), required by law on public buildings and outdoor installa- tions. The design of the residual-current device is made to cut power when a dif- ference between phase current and PEN current is detected, i.e. current leakage.
Older installations are not protected in this way and are susceptible to zero con- ductor faults. Such a fault often occurs together with maintenance or repair work.
Such a fault can potentially give 1 phase equipment a voltage of 400V instead of the nominal 230V[IV]. This often leads to extensive equipment damage but can also be a safety hazard.
Fig 9. Left: PEN conductor lost. Right: short circuit between a line and neu- tral[IV].
Claims can then typically include domestic equipment such as dishwashers, refrig-
erators etc. In some cases, claims can include virtually all electrical equipment in
the house [X]. A received damage claim is treated by Fortums personnel who open
a case for investigation. The case is then revised and the incident is cross checked
versus known incidents in the grid matching the time interval given such as main-
tenance work or detected faults. If the claim is for a larger amount of money, in-
surance companies usually handles the process of juridical responsibilities. For-
tums investigators also do this for claims of lesser values. The previously men-
tioned lack of information is however a big issue. In cases where there are no in-
ternal records of deviances from normal operation it is a case-to-case decision.
Since all decisions needs to be backed up by documentation, installation electri- cians and entrepreneurs are consulted for a professional statement. In cases where there is no relevant data to consult a decision is made on a probability estimation.
4.4 A theoretical example
Problems may arise when consumers connect large temporary loads, especially if they are one phase connected. A good example can be a part of a suburban grid with a few villas connected to the same substation where the grid is not too strong.
If one of the consumers connects a welding machine running on one phase power it will probably affect his neighbours in a negative way. Such a load is an intense power consumer and is also rapidly switched on and off. Visual effects will be flicker in lights connected to the same phase and possibly a brief hiccup in electri- cal motors such as fans. Unnoticed effects might be three phase connected motors damages such as washing machines, dryers, water pumps etc. who receive an un- balanced power input. This will be extra bad if the electrical characteristics of the load contain a big inductive part, in which case three phase motors will be sub- jected to a counteracting magnetic field which will lower its efficiency and cause more wear and tare. Such a scenario is clearly caused by the introduction of an exceptional load but the responsibilities are not clearly defined, see section Power Quality. The welding machine should obey the emission standard SS-EN 61000-3- 2 [XI]but even if it does so the neighbours might experience problems in a weak grid. This results is a situation where the electricity provider has kept up his end, the welder producer has kept up his end but some customers still experience a de- generation of their power supply. This knowledge of the behaviour of the low voltage grid is far from general knowledge among house owners. From a custom- ers point of view the product they are buying is suddenly changing from good to bad without them changing anything. A survey carried out by Elforsk shows that customers put responsibility foremost on the electricity provider, secondly on the electrical installation entrepreneur. The device manufacturer comes in third place and on fourth neighbouring consumers[XII].
4.5 Costs related to power quality on a national scale
Elforsk has in December of 2006 put together an evaluating report about power
quality and its implications[I]. This report evaluates the full national electrical sys-
tem from small apartment consumer to major processing industries, but it still
helps us to put economical figures on the issue of power quality in the low voltage
grid. A good overview table can be found on page 44
Fig 10. x-axis reads “process industry, production industry, commerce, office, real estate, public, rural, households”, y-axis reads “long outages, short outages, tran- sients, voltage variations, harmonics, voltage asymmetry, flicker” . Digits are in million SEK. “begr” means “limited”[I]
4.6 Discussion about power quality costs
Dissecting this table we can see that outages in general are by far the most expen- sive power quality problem. This is also the most well-documented phenomena.
The cost is mainly due to production interruptions. The high figures for short out- ages is because a short interruption or power dip often trips safety equipment and takes some time to restore. In this way, a power cut of half a second can result in production interruption of several hours. This is obviously not desired and many large power consumers have supporting equipment of their own to guard them- selves against this.
When looking at domestic households, transients and voltage variations stand out
as big expenses. This is interesting for the topic of this thesis. The figures pre-
sented correspond almost exclusively to damaged equipment. A big part of this is
equipment connected to two or more electrically signalling grids, e.g. distributing
network and tele network. An over voltage in one of them gives an unnatural volt-
age difference between the two systems. This difference will be present inside of
the device which the device is generally not constructed for. More on this in sec- tion “Detailed description”. Even though these estimations are quite rough they still provide some idea of what good power quality at the end consumer could be worth. This of course has to be weighed against the investment needed to re- duce/eliminate the given problem.
Another report from Statens Energimyndighet dated 2003[XIII] states:
Fire in property due to over voltages:
xa100 x 1 million
100 Damages to domestic and office electronic devices etc covered by
home- and property- insurances:
22 000 x 10 000 kr
220
Damages covered by product warranty: 50
Damages to electronic devices not covered by insurance: 150
Sum 520
As we can see, Fortum does not carry the heavy financial burden of bad power quality. The Cost is distributed among all the actors. This can be considered rea- sonable given the previous discussion about the shared responsibility regarding the electrical environment. All documents regarding power quality stress the fact that a reasonable electric environment must be achieved through cooperation between the parts involved. But when looking at the financial part of the problem, an addi- tional actor enters the scene. Insurance companies. There are examples of cases when legal processes are carried out between Fortum and insurance companies regarding financial compensation to a customer. This can be a hot subject if for example a full out fire has occurred in a real estate worth very much money. If the fire is severe, the evidence is probably damaged and a lengthy legal process may be the result.
4.7 Good power quality is sought
As a final word to conclude it can be said that that a good electrical environment, good power quality, is worth a significant amount of money for all parts involved.
The price for bad power quality is divided among the stakeholders with an over-
weight on the consumer and commercial players. The price to achieve good power
quality, the investments needed to be made, is also divided among the players[I].
5 Solar cells
5.1 History
Electricity production from solar cells is also called PhotoVoltaic generation. The phenomenon was first discovered by Alexandre-Edmond Becquerel (father of Henry B.) in 1839 . This is about the time when humanity first started to discover electricity (Faraday’s law of induction in 1831) and the vast possibilities of elec- trical energy was not yet known. The first selenium solid-state cell was invented in 1876. The next big leap comes with the introduction of semi conductors in the 1950:ies. The modern silicon solar cell was invented at Bell Labs in 1954. It found a natural niche in the space program and the first silicon solar cell was launched in 1958. Power generated from sunlight and without moving parts is of course ideal for this purpose. This helped the development greatly because of the abundant fi- nancial funding of the likes of NASA[XIV].
5.2 Functionality
A solar cell is essentially a diode. It utilizes the photoelectric effect which means that electrons are energized by photons; light. In a semi conducting material such as silicon, with four out of eight possible electrons in its outer shell, this means that an excess electron is knocked loose to move freely in the crystal structure. As the electron is knocked loose, a gap appears where it was located. This gap also moves freely and is labelled a “hole” and treated as a particle of its own. The pho- ton has thus created an electron-hole pair.
The natural thing for the electron and the hole to do is to quite soon find each
other and free the energy now bound in them into dissipating heat. To prevent this,
the silicon is doped. Doping means that some impurities are introduced in the crys-
talline structure. Materials introduced include one extra, or one less, electron in its
outer shell. This shortage / excess of electrons create an electric field between
Fig 11.Schematic view of a Solar Cell
them. This electric field separates the electrons from the holes which are attracted to opposite sides of the cell. When the two sides are connected by an external con- ductor a current arises. The solar cell is complete see fig 11.
5.3 Electrical characteristics
A single solar cell is, as shown in figure above, has only one voltage level. In a silicon cell it is 0.6-0.7 V. This is a quantum mechanical property of the semicon- ducting element silicon. The distinct value corresponds to the potential difference between the valence band and the conducting band within the silicon and corre- sponds to any photon carrying an energy of 1.2 eV or higher. This means light of wavelength 1022 nm or shorter 1 . An increase of the area of this theoretical cell will increase the irradiance of light fallen upon it which will increase the number of electron-hole pairs created. This will increase the current that can be drawn from the cell but will not affect the voltage.
Since a voltage level of 0.6 V is very low something must be done to up the level. This is done by connecting several cells in series into modules. Theoretically this principle can be used to reach any voltage level desired. But the trade off in doing so is that the module, being a closed electrical circuit will have its current limited by its least conducting cell, the “weakest link of the chain”. This practi- cally means that if an obstacle located as illustrated in cell “B” in fig 12 below will
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