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All conductors carrying electricity produce a field of force around them called magnetic field therefore increasing use of electrical equipments means there is increased exposure to magnetic field and concerns regarding health hazards due to exposure to low frequency magnetic fields arise due to this reason it is of great importance to know about the distribution of the magnetic field in residential area. In Sweden Str?ls?kerhetsmyndigheten (Swedish Radiation Safety Authority) asked Chalmers University of Technology in Gothenburg to perform a study in Gothenburg, Bor?s and Mark in order to provide the Authorities with magnetic field distribution in the houses in these areas, for this purpose a total number of 97 houses were chosen randomly in Gothenburg, Bor?s and Mark to measure the magnetic field in them.
Mainly two types of measurements were performed in each house first a single point measurements in the living room, bedroom and kitchen in 15 different points in 3 different height levels in each of the mentioned rooms, then 24 hours measurements in the master bedroom .Finally the readings from both measurements were combined and a net value for the average magnetic field in each home was calculated based on the results of this study 90% of these houses had an average magnetic field in the range 0-0.2 T. Beside this results it was also aimed in this study to include some information regarding harmonics forming the magnetic field in each house and include some information about the total harmonic distortion (THD). It was seen that most of the houses have high values of THD. It was also seen that the largest component of the magnetic field comes for the harmonics at the 50 Hz frequency. Finally it was observed that the magnetic field has its highest value at the bottom of each room.
This thesis work is aimed to give a distribution of the magnetic field of houses in Gothenburg, Bor?s and Mark in Sweden.
In chapter1 magnetic field and different sources of magnetic field are introduced then electromagnetic spectrum is analyzed and health hazard associated with non ionizing part of the spectrum are reviewed.
In chapter2 methods used in this study for measuring the magnetic field are described as well as the instruments used for the measurement purpose then at the end different measurement metrics used in study to express the results are explained
In chapter 3 results of this study are presented. As the final goal of this study a Comulative distribution function (CDF) is represented which shows how much percent of the houses are below a certain magnetic field level.
In chapter 4: a discussion on the final results is held
In this chapter it is aimed to provide the reader with the definition of the main concepts used in this study and beside explain the importance of conducting this study.
1.1 Magnetic Field
Magnetic field is defined as ?a field of force produced by moving electric charges or by elementary particles that possess their own 'intrinsic' magnetic field, a relativistic effect which is usually modeled as a spin of the particle?.
Among different sources indicated in former definition of the magnetic fields in this study we are interested in the magnetic fields produced by conductors carrying electricity.
Magnetic fields produced by electrical currents as depicted in figure 1.1 occur in continuous closed paths around the currents producing them therefore a conductor carrying electrical current gives rise to a magnetic field, the strength of this magnetic field is proportional to the current in the conductor and the distance from the conductor. Field lines are usually used to show the Magnetic fields and the magnetic field strength is constant along the conductor in closed paths around the conductor. Magnetic fields have a complicated appearance that cannot be calculated and must be measured instead. The unit used to measure the magnetic flux density is called the tesla [T]. Based on the earlier definitions magnetic fields can be caused by electrical devices and installation cables.  ?In certain cases, stray currents can give rise to magnetic fields. In Sweden, since the electricity system often contains four conductors leading to each building, stray currents can result in major problems?. ?
Power lines are also considered as a major external source of magnetic field. The phase current is producing the magnetic field caused by power lines. ?Close to power lines magnetic flux can reach to a maximum of 10 to 30 ?T but at a distance of 50 to 200 meter it decreases to less than 1 ?T? .
Magnetic field at homes and working environments are originated from both external and internal sources, typical external sources are power lines, power distribution substations close to residential sections and even water pipes carrying unbalanced neutrals current while internal sources are the households appliances.
As it was mentioned earlier It comes from the definition of the magnetic field that electrical current is capable of producing magnetic field therefore increasing use of electrical equipments means there is increased exposure to magnetic field and concerns regarding health hazards due to exposure to low frequency magnetic fields arises therefore International Commission on Non-Ionizing Radiation Protection (ICNIRP)  was established to investigate the hazards associated with exposure to non ionizing radiation (NIR) and develop guidelines on NIR exposure. ICNIRP is considering acute health effects that may for example lead to the stimulation of the nerves. Among all guidelines introduced by ICNIRP there are guidelines for limiting time varying electric and magnetic fields (EMF) exposure. ICNIRP guidelines in this regard come in two in two major categories .
Occupational exposure .
General public exposure .
Occupational guidelies consider the expousure of the workers to time varying electric and magnetic fields at their workplace while general public guidlines consider all people of the society in all ages exposed to time varying electric and magnetic fields even in cases they are no aware of being exposed to magnetic fields .
reference levels for general public exposure and occupational exposure by ICNIRP are summerized in table 1 and table 2. 
Frequency range magnetic flux density B(T)
1 Hz-8 Hz 4?10-2 /f2
8 Hz-25 Hz 5?10-3 /f
25 Hz-50 Hz 2?10-4
50 Hz-400 Hz 2?10-4
400 Hz-3KHz 8?10-2 /f
3 KHz-10M Hz 2.7?10-5
Frequency range magnetic flux density B(T)
1 Hz-8 Hz 0.2/f2
8 Hz-25 Hz 2. 5?10-2 /f
25 Hz-300 Hz 1?10-3
300 Hz-3 KHz 0.3 /f
3 KHz-10M Hz 1?10-4
1.2. Health Hazards Associated with Exposure to Low Frequency Magnetic Field
The electromagnetic spectrum includes ionizing, optical and non-ionizing radiation. The non-ionizing radiation is in the frequency range from 0 Hz up to 300 GHz. The energy of the non-ionizing radiation is not strong enough to break the chemical bonds of genetic molecules however there are some biophysical mechanisms that can lead to adverse health effects. For low frequencies the mechanism is stimulation of nerves and cell due to induction of current. For higher frequency ranges the mechanism will be tissue heating .
?Extremely low frequency magnetic fields are also classified as possible carcinogenic. Epidemiological studies consistently are showing an association between long-term average exposure to magnetic fields above 0.3/04 ?T and childhood leukemia cancer?.
In the upcoming section some health hazards related to exposure to low frequency magnetic fields are reviewed based on some major studies.
Childhood Leukemia and Magnetic field Exposure in Ontario, Canada.
In a case control study including 88 cases comprising incident leukemia at 0-14 years of age and 133 controls an association between magnetic field exposure and increased risk of leukemia was observed .
Childhood Leukemia and Magnetic field Exposure in Japan
Power frequency magnetic field is labeled as a possible carcinogen by the International Agency for Research on cancer panel. In Japan one of the high exposure areas of the world a population-based case-control study was performed. This study covered areas with 54% of the Japanese children. 312 case children between 0-15 years old with acute leukemia and 603 controls matched for gender, age and residential area were analyzed. Magnetic field mean was measured in each child house the study showed that most of the leukemia cases were exposed to magnetic field levels far above 0.4 ?T .
Exposure to Magnetic Fields during Pregnancy and the Risk of Miscarriage.
In a study performed in San Francisco 969 pregnant women all with a positive pregnancy test at less than 10 weeks of gestation and all the women were residing in San Francisco. The outcome results were tested using the health maintenance organization databases. No association was observed between miscarriage risk and the average magnetic field level, but it was observed that miscarriage increases with an increasing level of maximum magnetic field exposure with a threshold around 1.6 T .
This all shows it is of great importance to know about the distribution of the magnetic field in the residential areas. The methods used to provide such a graph showing this distribution are explained in the next chapter.
In the previous chapter the health hazards associated with exposure to low frequency magnetic fields were discussed and based on several studies mentioned in the same chapter. Magnetic fields above a certain level might be considered as a possible threat to dwellers overall health in residential areas therefore it is of great importance to know about the distribution of magnetic fields in residential areas.
In Sweden Str?ls?kerhetsmyndigheten (Swedish Radiation Safety Authority) asked Chalmers University of Technology in Gothenburg to perform a study in Gothenburg, Bor?s and Mark in order to provide the Authorities with magnetic field distribution in the houses of these area.
In this chapter methods for providing such a distribution are described as well as instruments used for measurement purpose. Totally 97 houses in Gothenburg, Bor?s and Mark in V?sterg?tland were subject of this study. All the houses were chosen randomly to cover all the residential areas in the mentioned areas.
It was explained in the first chapter that magnetic fields tend to have a complicated appearance which usually cannot be calculated, but have to be measured. Five different instruments were used in this study, a short description of each one beside its application in this study is given in this section.
2.1.1. Envirometor ML-1
This instrument is capable of measuring RMS value of the magnetic fields in X, Y and Z direction irrespective of the direction in which the instrument is pointing in relation to the magnetic field. This instrument is able to store the measurement data in a logging basis with logging intervals ranging from 1 second to 150 seconds and totally the instrument can store up to 8,192 readings. The stored data can be transferred to a computer using the Rs232 connection then the PC software accompanying the instrument will provide the user with mean of stored readings
Maximum and minimum of stored data, standard deviation, median and finally high and low quarter .
A number of reports and graphs can also be generated using this PC software. Ml-1 frequency range is 30Hz-2kHz. In this study we used ML-1 for 24 hours logging in the bedrooms with logging intervals equal to 40 seconds. However in the houses near the railways this instrument could not be used for 24 hours logging since trains in Sweden are producing a dominant magnetic field in 16 Hz and ML-1 due to its internal band pass filter starting at 30 Hz cannot measure this major component therefore due to this hardware limitation for houses near the railways this instrument was not suitable and another instrument Combinova MFM10 was used. In the next page an example of a report generated by ML-1 PC software is shown.
Figure 2.2.Intensity distribution of magnetic field from Enviromentor ML-1.
In this report as well as the intensity distribution of the logging data some other statistical information like Min, Max, Mean, Median, Standard deviation, Low quart and High Quart are given.
2.1.2. Combinova MFM10
MFM10 is capable of single point measurements of the magnetic field. It can as well be used for logging measurements. The frequency range MFM10 covers is between 5-2000 Hz. Since this frequency range covers the 16 Hz frequency it was used for 24 hours logging of the houses in the vicinity of railways instead of Enviromentor ML-1. The 16 Hz magnetic field component generated by trains which is a major component that Enviromentor ML-1 is unable to measure due to its hardware limitations will be taken into account using this instrument. Stored readings From CombinovaMFM10 are transferred to computer using RS232 cable as a text file. The logging interval used for MFM10 is 60 seconds. A typical image of this instrument is show in figure 2.3 .
2.1.3. MFM 3000
This instrument, as depicted in figure 2.4 is used for single point measurements. MFM 3000 is an advanced instrument that besides giving the total RMS value for the magnetic field it also provides user with the largest and second largest frequency components of the total RMS value. The frequency coverage of this instrument is from 5 Hz up to 400 KHz. However this instrument gives the user the possibility to narrow this frequency range. In the case of these study frequencies up to 10 Hz were filtered to reduce the signals due tomeasurments in the earth magnetic field. .
Before performing any measurements all the instruments used in this study were calibrated. A calibration test was performed in Str?ls?kerhetsmyndigheten?s laboratory to see if they were all fully functional and measure true values for the magnetic field. For this purpose a set up including a Helmholtz coil producing magnetic field was used The magnetic field created in the center of coil was calculated then all the instruments were placed in the center of the coil to see if they were measuring the expected value or not. This set up includes four main parts
Signal generator (SPN) (1Hz -1.3MHz)
Amplifier (gain 16.1 for load of 5 ohm)
Resistor to measure the current (3.3 ohm, 1 ohm)
Helmhotz coil (dimension of the box is 56x79)
These five parts were conected based on the schem dipicted in figure 2.5.
Figure 2.5. Calibration Setup
Signal generator was connected to the Amplifier and then to the resistance. Finally the coil was conected to the other parts to the coil. .
The formula B= (1.703 V)/(1 ?) T was used to calculate the magnetic field produced by the coil at its center; therefore the voltage was set to 0.581883v then based the former equation all the instruments were supposed to measure a magnetic field of 1 T (RMS) at the center of the coil.
2.3. Measurement Metrics
It was mentioned earlier that the purpose of this study is mainly to have the distribution of the magnetic field in houses in Gothenburg, Bor?s and Mark and a total number of 97 houses were randomly chosen for this goal and a number of metrics have been defined to be express the measurement results from each of these house. In this part a short description of each of these metrics is given then procedures for data acquisition are given in the following section.
2.3.1. Adjusted Average:
Two types of measurements are performed in this study one is single point measurement and the other one is the 24 hours logging. For single point measurements Combinova MFM 3000 is used and the single point measurements are performed in the living room, kitchen and bedroom according to the scheme depicted in figure 2.6 in which for each room the magnetic field is measured in the four corners of the room and the center in three different height levels. For 24 hour logging either Enviromentor ML-1 or Combinova MFM10 are used therefore we need a unique formula to calculated the average magnetic field of the house based on the reading of both instruments. In order to give such a formula two concepts are taken into consideration, first one is the average exposure of the people in house that requires a weighted average formula based on the average time people spend in each room, second is the average magnetic field of the house that is a normal average. The formula for calculating the average magnetic field that people in each house are exposed to is called Badjust and it is calculated from the following values. It is assumed that people on average spend 9 hours in the bedroom 2 hours in the kitchen and 4 hours in the living room so the weighted average formula can be calculated as follow
Bbed = 24 h average from the measurement point at the bed.
BsleepR = Room average for sleeping room.
Bkitchen = Room average for kitchen
BlivingR = Room average for living room
3 rooms: Badjust = (Bbed(9 BsleepR+2 Bkitchen+4*BlivingR))/15BsleepR
2 rooms: Badjust = (Bbed(13BsleepR+2*Bkitchen))/(15 BsleepR)
1 room: Badjust = Bbed.
Figure 2.6.Single point measurements scheme.
2.3.2. Total Harmonic Distortion (THD)
In an input-output system if the system is none linear some components will be added to the input and THD is a measure of these extra components added. In this study THD is a measure of the influence of the loads in each house on the current and as a result magnetic field produced by this current. A high value for THD means more none linear loads in the house and a low THD means more resistive loads.
?When the input is a pure sine wave, the measurement is most commonly the ratio of the sum of the powers of all higher harmonic frequencies to the power at the first harmonic, or fundamental, frequency? .
Which can equivalently be written as
If the measurements are based on amplitudes (e.g. voltage or current) these values must be converted to powers. For a voltage signal, for a voltage signal this ratio can be written as:
Where Vn is the RMS voltage of nth harmonic and n=1 is the fundamental frequency .
?Measurements for calculating the THD are made at the output of a device under specified conditions. The THD is usually expressed in percent as distortion factor or in dB as distortion attenuation.?.
In the case of this study magnetic fields are measured using Combinova MFM3000. In figure 2.7 a typical reading from MFM 3000 is showed therefore if we recall the equation for call calculating the THD
Figure 2.7. A typical measurment on Combinova MFM 3000 display.
Here Ptotal is proportional to ?(BRMS)?^2
P1 is proportional to ?(BLS)?^2 (the square of the largest signal)
Therefore the THD = (((BRMS)^2-?(BLS)?^2))/?(BLS)?^2 %
Frequency of the 2nd largest signal
At each house there are 15 measurement values in each room and up to 3 rooms (Bed room, living room and kitchen) are measured.
The THD for each measurement point (up to 45 values) is calculated and then the average THD is calculated
THD Average = (( THD1 + THD2 + ?.. THDn))/n
Where THD1 = is the THD for the first measurement point in that house ?and THDn is the last measurement point in that house.
For the frequency of the 2nd largest signal the most frequent value of the n measurements is chosen however Due to FFT some inexact frequencies can appear, values from 149 to 151 Hz are rounded to 150 Hz and values around 16 ? 18 Hz are rounded to 16.7 Hz (train frequency).
However in some cases some conflicts may arise so some rules are set for calculation of the THD. These rules are listed below.
If L.S. > RMS put THD = 0. (If L.S. is considerable > RMS then in data must be wrong, try to correct indata, if data can?t be corrected then don?t use this data for any calculations (THD and B adjust, levels etc))
If L.S. = 0 then do not calculate THD and don?t consider it in the average THD.
If L.S. is not 50 Hz do not calculate THD and don?t consider it in the average THD.
If 2nd L.S. is not 0 or 150 Hz do not calculate THD and don?t consider it in the average THD.
If L.S. < 30 nT do not calculate THD and don?t consider it in the average THD.
2.3.3. Fields Highest on Level
The RMS readings for the 3 levels (floor, middle or top) measured in the house are compared therefore there will be up to 15 results for the different positions. In each position the highest field can be at level: floor, middle, top or none (if the measurement values are the same for the two or three highest values). Numbers of highest level at ?floor?, ?middle?, ?top? or ?none? are calculated then the most frequent one is chosen. If the numbers of the most frequent level is shared with more than one level, then ?none? is chosen .Since there are two major conventions for floor numbering in the world British and American only one of them should have been used for this study . The floor numbering format used in this study is the British floor numbering an example of it is given below .
Displacement from ground level
2.4. Data Acquisition Procedures:
The address used in this study was provided by Professor Lars Barreg?rd, Dept. Occupational and Environmental medicine, Sahlgrenska University Hospital and Sahlgrenska Academy, University of Gothenburg.
The persons had been chosen by random in earlier studies, performed by the Dept. Occupational and Environmental medicine and these addresses were re-used in this study. The addresses were in G?teborg, Bor?s and Mark. If the persons had moved within the region and we could identify the new address, the new address was used.
The address register contained totally 179 addresses. We were able to get permission to perform measurements at 77 addresses. We were not able to get in contact with 38 addresses, which in most cases depended on that the person had moved without an identifiable new address. We had the person's name and address and not the personal number, therefore new addresses could not be searched for those with common names.
All the instruments used in his study are capable of storing readings and through their PC software they transfer data to a PC. Beside these computerized stored data a check list was used as well for manual documentation of data. Besides readings from the instruments some additional information regarding each house like house type (if it is a villa or an apartment) and its location (if it is near railways or not) were documented on a hardcopy. An example of list for manual documentation of the data is shown in figures 2.8 and 2.9. beside addresses and contact info a unique code was also assigned to each house therefore the hard copies and softcopies were match easily with an anonymous cod and after sharing the measurement data between group members over internet participants privacy was reserved since there is nothing regarding the identity of the participants over internet and they are all called with a unique dummy cod. Due to privacy reasons the method for generation of unique cods is not explained here.
In the first page of this check list as it is shown in figure 2.8 basic information like the house type, number of floors and its location if it is near railways or not are filled out then information regarding the 24 hours logging are filled out finally a small plot of the bedroom is given with major magnetic field sources if there is any in the room. In the next pages of the checklist as depicted in figure 2.9 single point measurements from MFM 3000 are filed out and a simple plot of that room with the major magnetic field sources is included.
Figure 2.8. Typical checklist Used in this study.
Figure 2.9. Checklist used for single point measurements.
In the previous chapter methods for measuring the magnetic field were described in details then a number of metrics were introduced to represent the magnetic field measurments corresponding to each house. The final goal of this chapter is to show how many percent of the houses are below a certain value for the magnetic field, meanwhile some individual graphs and values for the measurement metrics introduced in the previous chapter or houses with certain properties are given.
3.1.24 Hours Measurements Using Combinova ML-1
As it was explained earlier for 24 hours measurements of the magnetic field in the houses not in the vicinity of the railways Enviromentor ML-1 was used in the master bedroom. Here two examples for the distribution of the magnetic field in the bedroom after 24 hours logging are given. Figure 3.1 belongs to a villa house in Bor?s and figure 3.2 belongs to an apartment in Bor?s.
Figure 3.1. Magnetic field distribution of a typical house in Bor?s after 24 hours logging in the master bedroom.
Figure 3.2. Magnetic field distribution of a typical house in Bor?s after 24 hours logging in the master bedroom.
3.2. 24 Hours Measurements Using MFM10
Houses in the vicinity of the railways are exposed to magnetic field at 16.7 Hz since Enviromentor ML-1 rejects the magnetic components below 30 Hz another instrument Combinova MFM10 for 24 hours measurements in the master bedroom was used. This instrument creates a text file including the logging data, in figure 3.3 part of such a file for a house in Mark is given. The logging interval is set to 60 seconds and the instrument automatically calculates the average value of the logging data for every 30 minutes, however it rejects data that are too far from the range of other data in every 30 minutes.
Figure 3.3. Part of a text file from MFM10 containing 24 logging data.
An example of a house near railways having typical low values over 24 hours is given in figure 3.4. This house comprises the average magnetic field of 0.003 ?T in the bedroom over 24 hours logging and the adjusted magnetic field average of 0.08 ?T from both 24 hours logging in the bedroom and single point measurements in other rooms. THD is also 3.6%. In contrast to figure 3.4 an example of a house near railways having high values over 24 hours is presented in figure 3.5. This second house comprises the average value of 0.51 ?T for 24 hours logging in the bedroom and 0.39 ?T for the adjusted average as explained earlier. THD for this second house is 257.2%. Reviewing these two examples and observing their relevant distribution figures for 24 hours logging in the bedroom reader will have a visual understanding of the difference with the mentioned values.
Figure 3.4.A house near railways having typical values for magnetic field over 24 hours logging.
Figure 3.5.A house near railways having high values for magnetic field over 24 hours logging.
3.3. Single Point Measurements Using Combinova MFM 3000
Single point measurements are all performed using Combinova MFM 3000 instrument in 15 different points at three different heights in up to three rooms for each house. Distribution values of magnetic field for all these 15are shown in figure 3.6 and figure 3.7 these graphs are coming from the same house for which the 24 hours logging graph from Enviromentor ML-1 were represented in figure 3.1 and 3.2.
Figure 3.6.Single point measurements for a villa in 45 different single points of living room, kitchen and master bedroom.
Figure 3.7.Single point measurements for an apartment in 45 different single points of living room, kitchen and master bedroom.
3.4. Final Results
Final results are given in the form of a cumulative distribution function or a bra graph for different measurement metrics defined in chapter 2.
The first section includes a Cumulative Distribution Function (CDF) that shows how many percent of the houses are below a certain magnetic field estimated at the entire house ( adjusted average from both 24 hours logging in bedroom and single point measurements in all room). In figure 3.7 this graph is represented.
Figure 3.8.Cumulative distribution function showing houses below a certain value for the magnetic field coming from both single point measurements and 24 hours logging.
This graph shows that 90% of the houses have the adjusted average magnetic field (from both single point measurements and 24 hours logging) in the range 0-0.2 ?T this graph also demonstrates that the median of the measurements is 0.05 T. in the next graph in figure 3.9 the CDF graph from average value of the magnetic field in the bedroom over 24 hours logging is given.
Figure 3.9.Cumulative distribution function showing how much percent of houses are below a certain value for the magnetic field coming only from 24 hours logging in the bedroom
It is evident for this graph that again 90% of the houses have the average magnetic value in the range 0-0.2 T in the bedroom (this graph comes from the average of the magnetic field in the bedroom after 24 hours logging). Median of these readings is 0.04 T .
The third section represents the THD value in a bar graph showing number of houses with a certain THD value. This graph is depicted in figure 3.10.
Figure (3.10) bar graph showing number of houses with a certain magnetic field value
This graph shows that the highest value for THD is 500 The cumulative distribution function (CDF) for THD is also given in figure 3.11 which also indicates the highest value for THD is 500 This high value for THD shows that most loads at homes are none linear loads. However after doing single point measurements in a number of houses and receiving strange values for the THD frequencies up to 10 Hz were filtered because in low frequencies (0-10 Hz) movements due to shakings of the instrument can induce a magnetic field into the earth magnetic field. In order to reject this effect and improve the THD values frequencies up to 10 Hz were filtered. in figure 3.11 CDF graph for THD in the houses that this 10 Hz filter was included is given.
Figure 3.11. CDF for THD
In the next part in a graph depicted in figure 3.12 it is shown how many percent of the houses have the highest magnetic field in each level. It comes from this graph that most houses have the highest value for the magnetic field on the ground level this could be due to the wiring under the ground
In the next section a comparison between the magnetic filed in a big city (Gothenburg) and a small town (Bor?s) and the country side is held. In figure 3.14 CDF function of the magnetic field in Gothenburg is shown then in figure 3.14 CDF of the magnetic field for Bor?s is showed and finally in figure 3.16 CDF of the magnetic field for the country side is given then the summery of the comparison of these three places is given in table 3.1
Figure 3.14.CDF of the magnetic field in Gothenburg.
Figure 3.15.CDF of the magnetic field in Bor?s.
Figure 3.16.CDF of the magnetic field in the country side.
In table 3.1 summery of these three graphs is given.
In the next part magnetic filed in three different room of a house during 24 hours have been measured with the Enviromentor ML-1 to see the variationof the magnetic filed in three different rooms over 24 hours. These results are given in the figure 3.17.
Figure 3.17. Variation of the magnetic field over 24 hours in three different rooms of a house
Finally in figure 3.18 and 3.19 CDF of the magnetic field in villas and apartments are given
Figure 3.17.CDF of the magnetic field in apartments.
Figure 3.18.CDF of the magnetic field in villas.
3.5. Summary Table
In the last part tables contacting all the measurement metrics for all 97 houses is given
It is aimed in this chapter to have a discussion over the results of this study. This study shows that 90% of the houses have the magnetic value in the range between 0-0.2 T which is reasonable according the studies over the health hazards associated with exposure to low frequancy magnetic fields. however this value is not the net magnetic field for the house but it comes from a weighted average showing the average magnetic field exposed to people in the houses based on the average hours people spend in each room.but as it was observed in figure 3.17 since the magnetic field in bedroom, kitchen and living room has the same variation during 24 hours the average exposure of the people is assumed to be the same as the average magnetic field of the house. This study also tried to give some information regarding the harmonics forming the total RMS and it was seen that the largest component is in the 50 Hz that demonstrates the magnetic field in low frequencies is mainly coming from the power lines. However the total harmonic distortion THD has high values at the beginning it was thought this can be a result of the noise or shaking of the instrument in the earth magnetic field therefore a 10 Hz filter was applied to reject frequencies up to 10 Hz and results were improved. However the THD values are still high one reason could be due to many non-linear loads in the houses.
Spectrum of the single point measurements could be a useful tool to dig more into details and seek for the reasons of such strange values for THD unfortunately the MFM 3000 did not have this possibility to have the FFT of all single point measurements but it calculates the FFT of the last measurements but in this study the FFT values were all zero so this could be due to some problems with the instrument.
It was observed as well that in majority of the cases the largest signal in the harmonics is at 50 Hz and the second largest signal is at 0 H. it is important to note that in here 0 indicates that the instrument cannot decide on the relevant frequency.
This study shows that magnetic field for apartments is higher than the magnetic field for villas and this can be explained as the influence of neighbored apartments on each other also small town magnetic field has higher mean value comparing to the country side and big city but since there are more apartments in the big cities and this study shows apartments have higher magnetic field comparing to villas the magnetic field in a big city is expected to be higher than a small town one reason for such result could be wrong random procedures for choosing addresses
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