=Paper= {{Paper |id=Vol-2485/paper66 |storemode=property |title=NPP Risk Assessments Results Dependence Study on the Composition of the Population Living Around the NPP (on the Example of Rostov and Kalinin NPP) |pdfUrl=https://ceur-ws.org/Vol-2485/paper66.pdf |volume=Vol-2485 |authors=Sergei Zolotarev,Maria Berberova }} ==NPP Risk Assessments Results Dependence Study on the Composition of the Population Living Around the NPP (on the Example of Rostov and Kalinin NPP)== https://ceur-ws.org/Vol-2485/paper66.pdf
 NPP Risk Assessments Results Dependence Study on the Composition
 of the Population Living Around the NPP (on the Example of Rostov and
                              Kalinin NPP)
                                                  S.S. Zolotarev1, M.A. Berberova2
                                      zolotarev@phystech.edu|maria.berberova@gmail.com
                                 1
                                   Moscow Institute of Physics and Technology, Moscow, Russia;
                                      2
                                        International Nuclear Safety Center, Moscow, Russia
     Nuclear power plants, being complex technological systems, represent a source of increased risk, in particular, a specific risk of
radiation exposure. Obtaining quantitative assessments of radiation risk is critical for risk reduction and accident prevention. Existing
methods for assessing radiation risk do not take into account the influence of external factors, such as population composition,
geographical features, anthropogenic environmental changes, etc. The result of the risk analysis is the assessment of physical and
economic indicators for the Rostov and Kalinin NPPs, taking into account the age composition of the population, as the most significant
parameter. Based on a comparison of the estimates obtained with the results without taking into account the age distribution,
recommendations are given on the use of adjusted estimates when developing measures to reduce risk and mitigate the consequences
for the most sensitive age groups of the population (1-12 years). The objective of the work is to modify the methodological approach to
the calculation of radiation risk indicators of the population, taking into account the age composition and the practical application of
the formulas for assessing the physical and economic indicators of damage to real objects.
     Keywords: risk, population, NPP, dose, age composition, damage, safety.
                                                                         established a unified approach to the assessment of risk
1. Introduction                                                          indicators for NPPs with reactors of various types,
                                                                         recommendations for organizing and conducting risk
     Radiation plays a huge role in the development of civilization
                                                                         assessments, and documenting the results of risk assessments in
at this historical stage. Due to the phenomenon of radioactivity,
                                                                         accordance with the requirements of the safety data sheet.
a significant breakthrough was made in the field of medicine and
                                                                             In 2007, the Methodological Guidelines (MG) “Rapid
in various industries, including energy. But at the same time,
                                                                         Assessment of Doses to the Population in Case of Radioactive
negative aspects of the properties of radioactive elements became
                                                                         Pollution of the Territory by Air” [4] were developed, defining
more pronounced: it turned out that the effects of radiation on the
                                                                         methods for calculating the level of exposure to members of
body can have tragic consequences. This fact could not pass by
                                                                         various population groups (depending on age, profession, type of
the attention of the public. And the more it became known about
                                                                         dwelling). In the risk assessment for safety data sheets of Russian
the effect of radiation on the human body and the environment,
                                                                         NPPs, these MGs were not included.
the more controversial became the opinions about how much
                                                                             The study was based on works [5, 6] implemented by
radiation should play in various spheres of human activity.
                                                                         Rosenergoatom Concern JSC in the framework of the
     Over the past 20 years, substantial work has been done to
                                                                         preparation of safety data sheets for Russian NPPs (in particular,
reduce the risks and mitigate the effects of man-made
                                                                         Rostov and Kalinin NPPs). The risk assessment of an accident at
emergencies. In this regard, nuclear power plants remain the
                                                                         a nuclear power plant is carried out according to the procedure
source of radiation around which the most intense disputes are
                                                                         for conducting a Level 3 PSA using the FOOD computer
conducted, although they currently contribute very little to the
                                                                         program, which allows the calculation of radiation doses to
total exposure of the population. Negative public opinion on
                                                                         personnel and the public at various distances from the source of
nuclear power can be justified by the fact that the solution of
                                                                         the radionuclide release. The probabilities of the occurrence of
problems of NPP risk analysis is carried out in conditions of
                                                                         various emergency scenarios are calculated according to the MU
considerable uncertainty. Moreover, despite the low probability
                                                                         for conducting risk analysis of hazardous production facilities
of the most dangerous accident, the radiation effects may be
                                                                         [7]. Physical indicators of the risk of radiation exposure on
significant and require close attention.
                                                                         personnel and population are estimated in accordance with [8].
     Thus, the task of clarifying the risk assessment of radiation
                                                                         According to [8]:
exposure to the population, taking into account the age criterion
                                                                             1. The radiation sources that create are not considered:
as the most significant, becomes more relevant and determines
                                                                                  -     individual annual effective dose of not more than
the significance of this study.
                                                                                        10 µSv;
2. Review of risk assessment methods                                              -     collective effective annual dose of not more than 1
                                                                                        person-Sv;
     This chapter provides an overview of risk assessment                    2. It is accepted that radiation in a collective effective dose
methods. The chapter consists of two sections. Section one                        of 1 man-Sv leads to potential damage equal to a loss of
provides an overview of risk assessment methods, describes the                    1 man-year of life;
terms and definitions required for risk assessments, and discusses           3. To assess the harm to health from radiation in small
the main quantitative risk indicators. Section two presents the                   doses, both the effects of irradiation of individual organs
methodology for calculating the level of exposure for different                   and tissues of the body, differing in radiosensitivity, and
age groups of the population.                                                     the irradiation of the whole organism as a whole are
                                                                                  taken into account. The averaged value of the risk
3. Risk assessment methodology                                                    coefficient used to establish dose limits for personnel
     In 2004, by order of the Minister of Emergencies of Russia                   and the public was assumed to be 0.05 1 / Sv.
[1], a typical safety data sheet of a hazardous facility was                 The distribution of radionuclides in the environment from the
approved. On its basis, a safety data sheet was developed for the        emission source to the direct impact on humans or the
critical (dangerous) object of Rosatom [2].                              environment can be divided into three areas:
     To solve the problems of risk assessments in 2004, it was                -     Emissions to the atmosphere;
decided to develop a “Methodology for assessing risk indicators               -     Liquid discharges into rivers, reservoirs or seas;
for managing the safety of critical (hazardous) facilities of                 -     Disposal of waste in the ground.
ROSATOM. The methodology developed in 2010 [3]                               The    considered   methodology for assessing NPP risk
                                                                         indicators is devoted to the first direction of propagation, and



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specifically to the effects of air emissions on the population and     external. The main ways of radioactive pollution of the
personnel.                                                             environment are:
    -    As initial data for the calculation of risk for personnel          -     release of radioactive substances into the atmosphere;
         and the population are used: Frequencies of                        -     discharge of radioactive substances into surface waters
         consequences in design and beyond design basis                           (rivers, lakes, etc.).
         accidents (calculated using probabilistic safety analysis          In this study, only the first pathway is considered.
         (PSA));                                                            Estimation of population exposure doses is carried out for
    -    Estimation of the number of radionuclides involved in         three age groups:
         the design and beyond design basis accidents;                      -     for adults (over 18);
    -    Data on climatic conditions in the area of the NPP                 -     for school-age children (from 7 to 12 years old);
         location: repetition of wind directions, average annual            -     for preschoolers (from 1 to 2 years).
         wind speed;                                                        Evaluation of external exposure doses of the population is
    -    Data on the population in the 100-km NPP zone,                carried out for two directions of external exposure:
         population distribution by points.                                 -     exposure from a radioactive cloud;
    Release of radionuclides into the environment is considered             -     irradiation from the underlying surface.
short-lived. When estimating the population exposure doses,                 In general, the model of external exposure is based on the
three methods of exposure are taken into account:                      presence of a dose coefficient relating the concentration of
    -    direct inhalation;                                            radionuclides to the dose characteristic of the external radiation
    -    exposure from a radioactive cloud;                            field or directly to the effective dose. This approach involves the
    -    exposure from a contaminated surface to the ground.           use of measured data during radiation monitoring as source data:
    The assessment result of the accident radiation consequences            -     concentrations of individual radionuclides in the surface
on the population are:                                                            layer of air;
    -    absorbed dose of external irradiation of the whole body            -     surface contamination of the underlying surface by
         and internal irradiation of the thyroid gland during                     individual radionuclides.
         inhalation at the initial stage (first 10 days) of the             The effective external dose for the i-th group of the
         accident;                                                     population when exposed to a radioactive cloud Eext        i,a (mSv) is
    -    annual effective radiation dose.                              defined as:
    Early deaths among the population are excluded, because                           Eext                        𝑎   𝑎
                                                                                         i,a = Ki,a ∙ T ∙ ∑𝑘=1 e𝑘 ∙ 𝐶𝑘 ,                    (1)
maximum individual absorbed doses do not reach the level of 1               where: e𝑎𝑘 is the dose coefficient determining the absorbed
Gray, and internal exposure of the thyroid gland during                dose rate of gamma radiation from the k-th radionuclide at a
inhalation does not reach the level of 5 Gray, at which                height of 1 m above the underlying surface from the source in the
deterministic effects are possible.                                    form of a radioactive cloud, (mGy / h) / (kBq / m3);
    In [5, 6], the assessment is made for an average adult with an          𝐶𝑘𝑎 − the average concentration of the 𝑘-th radionuclide, kBq
average radiosensitivity. This provides a basis for studying the       / m3;
influence of age composition on estimates of radiation risk                 T − the time of exposure from this source, hour;
indicators of the population.                                               Ki,a is the coefficient of transition from the dose in the air to
    According to the results of calculations, indicators of
                                                                       the effective dose for the 𝑖th group of the population, mSv / mGy.
radiation and economic risks from accidents for nuclear power
                                                                            Ki,a is assumed to be:
plants are compared with [8, 9].
                                                                            -     0.7 mSv / mGy - for adults;
4.   Calculating Method of the exposure level for                           -     0.75 mSv / mGy - for schoolchildren;
     different age population groups                                        -     0.85 mSv / mGy - for preschoolers.
                                                                            Based on Formula 1, we can assume that the effective dose
     In [5, 6], the radiation risk assessment is made for an average   of external exposure from a radioactive cloud linearly depends
adult with an average radiosensitivity. According to [4], which        on the coefficient Ki,a .
regulates the process of rapid assessment of doses to the public            Similarly, the effective external dose of the i-th group of the
during radioactive contamination of the territory by air, there is     population from a mixture of radionuclides dropped on the
a significant difference in the transition factors from the absorbed   underlying surface, Eext  i,𝑠 , linearly depends on Ki,s :
radiation dose to the effective dose, reflecting the risk of
                                                                                      Eext                       𝑠   𝑠
                                                                                         i,𝑠 = Ki,s ∙ T ∙ ∑𝑘=1 e𝑘 ∙ 𝜎𝑘 ,                    (2)
radiation effects for different age groups.                                            𝑠
                                                                            where: e𝑘 is the dose coefficient determining the absorbed
5.   Estimation of the exposure level for different age                dose rate of gamma radiation from the k-th radionuclide at a
     population groups                                                 height of 1 m from a flat isotropic source located at the air-to-
                                                                       ground boundary, (mGy/hour) / (kBq/m2);
    The following concepts are used for evaluation:                         𝜎𝑘𝑠 − surface activity of the k-th radionuclide on the soil,
    -    Absorbed dose in a tissue or organ - the amount of            kBq/m2;
         ionizing radiation energy transferred to the tissue or             T − the time elapsed since the end of the radioactive fallout,
         organ;                                                        hour;
    -    Equivalent dose - absorbed dose in an organ or tissue              Ki,s is the transition coefficient from the dose in air at a height
         multiplied by the corresponding weighting factor of this      of 1 m above the underlying surface to the effective dose for the
         type of radiation, reflecting the ability to damage body      i-th group of the population, mSv / mGy. Ki,s is assumed to be:
         tissues (the weighting coefficient of gamma radiation              -     0.75 mSv / mGy - for adults;
         for biological tissue is taken to be unity);                       -     0.80 mSv / mGy - for schoolchildren;
    -    Effective dose - the value used as a measure of the risk           -     0.90 mSv / mGy - for preschoolers.
         of the occurrence of the remote effects of exposure of             When a population is exposed to a man-made environment,
         the entire human body and individual tissues and              the characteristics of the radiation field change. It is possible to
         organs, taking into account their radiosensitivity.           take into account this change in the calculations using the
    Radioactive pollution of the environment is the starting point     location factors Lj , defined as the ratio of the dose rate in the air
in the further chain of human exposure pathways: internal and
                                                                       at point j within the settlement or in its area due to man-made
gamma radiation, to a similar value over the open virgin soil .              6.     NPP Radiation Risk Assessments
Human behavior in the radiation field is described using the
                                                                                 In this section, a quantitative assessment of the physical and
factors of behavior Fij , depending on the season and representing
                                                                             economic indicators of radiation risk for the Rostov and Kalinin
a fraction of the time during which representatives of the i-th
                                                                             nuclear power plants taking into account the age composition of
population group are located at the j-th point of the locality.
                                                                             the population.
     In the study we neglect these parameters due to the lack of
anthropogenic characteristics of the territory around the NPP.               Radiation Risk Assessments at Rostov NPP
The study of the influence of place factors and factors of
population behavior is also of scientific value and can be                       Rostov NPP is located in the Rostov region, 12 km from the
considered as part of a separate work.                                       city of Volgodonsk on the bank of the Tsimlyansk reservoir.
     The following initial data are used in assessing the internal           Volgodonsk is located in the eastern part of the Rostov region,
exposure doses of the population:                                            between two million-plus cities - Rostov-on-Don and Volgograd.
     -     concentration of radionuclides in the air;                            Rostov NPP is one of the largest energy companies in the
     -     duration of inhalation.                                           south of Russia, providing about 15% of the annual electricity
     The value of the effective dose from inhalation in the i-th             generation in the region.
group of the population can be calculated using the expression:                  The electrical capacity of the three existing power units is 3.1
                                                                             GW. All reactors (four power units) are VVER-1000 water-to-
                𝐸𝑖𝑖𝑛ℎ = 10−6 · 𝑉𝑖 · 𝑇 · ∑𝑘=1 𝐶𝑎𝑘 ∙ ℎ𝑖,𝑘 𝑖𝑛ℎ ,          (3)
                                                                             water power reactors. Power units of the Rostov NPP were
     where: ℎ𝑖,𝑘 𝑖𝑛ℎ is the dose coefficient for the 𝑖-th group of the       commissioned in 2001, 2009, 2015 and 2018.
population and the 𝑘-th radionuclide, Sv / Bq;                                   Estimation of the potential radiative forcing of radionuclide
     𝐶𝑎𝑘 is the average concentration of the 𝑘th radionuclide in the         emissions (RS) is made on the basis of population data by points
surface air layer during the passage of the radioactive cloud, kBq           and distance from Rostov NPP from 3 km to 30 km, and the
/ m3;                                                                        average population density outside the 30 km zone to 100 km is
     𝑇 − time of exposure from the source, hour;                             also estimated (Table 1 and Fig. 1).
     𝑉𝑖 − respiration intensity of representatives of the 𝑖-th group         Table 1. Population distribution in the zone with a radius of
of the population, m3 / hour.                                                100 km around the Rostov NPP
     Based on Formula 3, we can assume that the effective dose                    Rumba
                                                                                                        Distance from NPP, km
                                                                                                                                              Total people
                                                                                          3-10 10-15 15-20      20-30 30-40 40-50    50-100
from inhalation depends linearly on ℎ𝑖,𝑘 𝑖𝑛ℎ and 𝑉𝑖 .                        North          -     -     315       868  1 044 1 342   11 186      14 755
     Data on ℎ𝑖,𝑘 𝑖𝑛ℎ are known only for the most irradiated critical        Northeast
                                                                             East
                                                                                           860
                                                                                           860
                                                                                                  -
                                                                                                  -
                                                                                                        88
                                                                                                        620
                                                                                                                  390
                                                                                                                  512
                                                                                                                       1 044 1 342
                                                                                                                       1 044 1 342
                                                                                                                                     11 186
                                                                                                                                     11 186
                                                                                                                                                 14 910
                                                                                                                                                 15 564
age groups of the population [8], therefore, it is impossible to             Southeast     230    -     591       791  1 044 1 342   11 186      15 184
differentiate according to a given coefficient for different age             South         230   345    193     1 076 1 044 1 342    11 186      15 416
                                                                             Southwest      -    595  74 952 15 432 1 044 1 342      11 186     104 553
groups.                                                                      West           -    250  75 574 26 780 1 044 1 342      11 186     116 176
     The value of the equivalent dose to the thyroid gland in the            Northwest      -     -    1 071    12 622 1 044 1 342   11 186      27 265
                                                        𝑖𝑛ℎ                  Total        2 180 1 190 153 404 58 571 8 352 10 736    89 488     323 823
i-th group of the population from inhalation 𝐻𝑖,𝑡ℎ𝑟          is calculated
as:
                   𝑖𝑛ℎ
                𝐻𝑖,𝑡ℎ𝑟  = 𝑉𝑖 · 𝑇 · ∑𝑘=1 𝐶𝑎𝑘 ∙ ℎ𝑖,𝑘 𝑡ℎ𝑟                 (4)
                 𝑘
     where: ℎ𝑖, 𝑡ℎ𝑟 − dose coefficient for the i-th population group
and the k-th radionuclide (iodine or tellurium), mSv / kBq;
     𝐶𝑎𝑘 is the average concentration of the 𝑘th radionuclide in the
surface air layer during the passage of the radioactive cloud, kBq
/ m3;
     𝑇 − time of irradiation from this source, hour;
     𝑉𝑖 − respiration intensity of representatives of the 𝑖-th group
of the population, m3 / hour.
                                                                             Fig. 1. Population distribution in the zone with a radius of 100
     On the basis of Formula 4, we can assume that the equivalent
                                                                             km around the Rostov NPP
dose of irradiation of the thyroid gland linearly depends on ℎ𝑖,𝑘 𝑡ℎ𝑟              On the basis of [5], the accident “Disruption of the steam line
and 𝑉𝑖 .                                                                     in the protective shell of the NPP with the design value of leakage
     The effective dose of internal exposure of the population due           in the steam generator from the 1st circuit to the 2nd” was chosen
to the oral intake of the k-th radionuclide in the body is calculated        as the design basis accident (implementation frequency 5.6·10-5
by measuring its specific activity in the consumed food products.            1/reactor-year), as a beyond design basis accident -
Sampling and measurements are carried out at times t1 and t2,                “Deenergizing NPPs with a diesel generator failure and BRU-A”
where t1 and t2 are the time elapsed since t0 the start of                   (frequency ϑ=3.8·10-8 1 / reactor-year).
consumption of contaminated food (it is assumed that this                          The share of absorbed internal radiation in the total absorbed
moment coincides with the end of radioactive fallout). In the                radiation is approximately 98%. Based on this, and also taking
study, we neglect this indicator, because We consider the                    into account the uncertainty of age coefficients when calculating
indicators of the effective dose of radiation in the early phase of          the effective dose of external exposure, it was proposed to adjust
the accident (the first 10 days).                                            the total effective dose by the coefficient for internal exposure
     The total effective dose for the i-th group of the population           ℎ𝑖,𝑘 𝑡ℎ𝑟 ∙ 𝑉𝑖 (formula 4).
living in the territory that has been contaminated with a mixture                  Based on the obtained coefficients, the average total effective
of radionuclides is equal to the sum of doses of external exposure           annual doses of external and internal exposure (formula 5) of
from the radioactive cloud Eext      i,a and deposition on the underlying    three population groups in each of the ring segments of rumba
surface Eexti,s  ,  internal   dose   due to inhalation of radionuclides     are calculated. The calculation results are shown in Table 2 and
𝐸𝑖𝑖𝑛ℎ :                                                                      Fig. 2.
                𝐸𝑖𝑠𝑢𝑚 = Eext           ext    𝑖𝑛ℎ
                             i,a + Ei,s + 𝐸𝑖 , мЗв                     (5)
     The equivalent dose of the thyroid gland for the i-th group of          Table 2. Estimation of average total effective annual doses
the population is equal to the sum of doses due to inhalation of             of external and internal exposure of three population
iodine radionuclides 𝐻𝑖,𝑡ℎ𝑟    𝑖𝑛ℎ
                                   , mSv.                                    groups in each of the ring segments of rumba during the
most dangerous accident at the Rostov NPP                              100 km around Kalinin NPP
   Distance from NPP, km   𝑬𝟏𝒔𝒖𝒎 , mSv   𝑬𝟐𝒔𝒖𝒎 , mSv   𝑬𝟑𝒔𝒖𝒎 , mSv                                     Distance from NPP, km                         Total
                                                                        Rumba
             3-10             10,52         20,76         26,75                   3-5     5-10    10-15 15-20 20-30 30-40        40-50    50-100    people
            10-15              1,91          3,77          4,86          North     0       251     170     258     295     241   3 090    26 511     30 816
            15-20              1,04          2,06          2,65        Northeast   0       157      88     266     203     189   3 090    26 511     30 504
            20-30              0,60          1,18          1,52           East     0       254     177     464     301     287   9 499    52 549     63 531
            30-40              0,32          0,63          0,82        Southeast   0       377     296     549     421     407   3 090    38 354     43 494
            40-50              0,20          0,40          0,52          South   8 505     325     246     498     370     356   3 090    74 155     87 545
           50-100              0,11          0,21          0,27        Southwest 16 158    318     230     598     370     356   52 342   26 511     96 883
                                                                         West    7 339     336     227     562     370     356   3 090    50 964     63 244
                                                                       Northwest   0       227     176     379     279     265   3 090    81 242     85 658
                                                                         Total   32 002   2 245   1 610 3 574 2 609 2 447        80 381   376 797   501 665




Fig. 2. Estimation of average total effective annual doses of
external and internal exposure of three population groups in
each of the ring segments of rumba during the most dangerous
accident at the Rostov NPP
    To estimate the number of the N_i population in each age           Fig. 3. Population distribution in a zone with a radius of 100 km
group, data from the 2010 All-Russian Population Census for the        around Kalinin NPP
Rostov Region were used, according to which the adult                      Based on [6], the “Medium primary circuit leak” accident
population is 85%, schoolchildren (7-12 years old) - 8%,               (with a sales frequency of 4.2·10-4 1 / reactor-year) was selected
preschool children (1-2 years) - 7%.                                   as the most likely accident at the Kalinin NPP, with the refusal
    To assess the radiation effects of the accident on the various     of the ECCS high and low pressure" (with a frequency ϑ =
groups of the population in 8 points in the 100 km zone around         1.47·10-6 1 / reactor-year).
the Rostov NPP, the following calculations were made:                      The share of absorbed internal irradiation in the total
    -     collective dose 𝐸𝑖𝑐𝑜𝑙 , man · Sv / year;                     absorbed irradiation is approximately 97%. Proceeding from this,
    -     late deaths, 𝑁𝑖𝑑𝑡ℎ ;                                         and also taking into account the uncertainty of age coefficients
    -     collective risk of late death, 𝑅𝑖𝑑𝑡ℎ .                       when calculating the effective external dose, it was proposed to
             𝐸𝑖𝑐𝑜𝑙 = 𝑁𝑖 ∙ 𝐸𝑖𝑠𝑢𝑚                                  (6)   adjust the total effective dose by the coefficient for internal
    For the most complete assessment of the harm that can be           exposure ℎ𝑖,𝑘 𝑡ℎ𝑟 ∙ 𝑉𝑖 (Formula 4).
caused to health as a result of radiation in small doses, the              Calculating the coefficient ℎ𝑖,𝑘 𝑡ℎ𝑟 ∙ 𝑉𝑖 we get (Fig. 4):
damage is determined by quantifying both the effects of
irradiation of individual organs and tissues of the body, differing
in radiosensitivity to ionizing radiation, and of the organism as a
whole. In accordance with the linear non-threshold theory of dose
risk dependence of stochastic effects generally accepted in the
world, the magnitude of the risk is proportional to the radiation
dose and is related to the dose through the linear radiation risk
coefficients.
             𝑁𝑖𝑑𝑡ℎ = 𝑘 ∙ 𝐸𝑖𝑐𝑜𝑙                                   (7)
             𝑅𝑖𝑑𝑡ℎ = 𝜗 ∙ 𝑁𝑖𝑑𝑡ℎ                                   (8)
    where 𝜗 = 3.8 · 10-8 1/ reactor-year.
    The economic damage 𝐺𝑖 as a result of harm to the health of        Fig. 4. Coefficient 𝒉𝒌𝒊, 𝒕𝒉𝒓 ∙ 𝑽𝒊 for Rostov and Kalinin NPP
the population, which can manifest itself in the form of stochastic        Or the ratio relative to the indicators for the adult population
effects (radiogenic cancer and hereditary diseases), is estimated      (Fig. 5):
by the formula:
             𝐺𝑖 = 𝑧 ∙ 𝐸𝑖𝑐𝑜𝑙                                      (9)
    where z is the monetary equivalent of the loss of one person-
year of life of the population, is assumed to be equal to 0.3
million rubles / person-Sv.
Radiation Risk Assessments at Kalinin NPP
    Kalinin NPP is located on the southern shore of Lake
Udomlya and near the city of the same name. The town of
Udomlya is located north of the Tver region, 120 km from the
                                                                       Fig. 5. The indicators for the adult population for Rostov and
city of Tver. The Kalinin NPP has four power units with VVER-
                                                                       Kalinin NPP
1000 type reactors. The 1st and 2nd power units were launched
                                                                           Using these coefficients, we calculate the average total
in 1984 and 1986, the 3rd and 4th power units in 2004 and 2012,
                                                                       effective annual doses of external and internal exposure
respectively. The potential radiative forcing of radioactive           (Formula 5) of three population groups in each of the ring
substances is estimated on the basis of population data by points
                                                                       segments of rumba.
and the distance from Kalinin NPP from 3 to 30 km, and the
                                                                           To estimate the number of the N_i population in each age
average density of the population living at a distance of 30-100
                                                                       group, data from the 2010 All-Russian Population Census for the
km is estimated (Table 3 and Fig 3).                                   Tver Region were used, according to which the adult population
Table 3. Population distribution in a zone with a radius of
is 85%, schoolchildren (7-12 years old) - 8%, preschoolers (1-2         power plants during beyond design basis accidents with the
years) - 7%.                                                            release of sources of thermal neutrons with low flux density».
    To assess the radiation effects of the accident on various
groups of the population, the following calculations were               10. References:
performed at 8 points in the 100 km zone around the Kalinin
                                                                        1.   On approval of a typical safety data sheet of a hazardous
NPP: collective dose 𝐸𝑖𝑐𝑜𝑙 , man · Sv / year; the number of late             object: [Order of the Emergencies Ministry of Russia No.
deaths, 𝑁𝑖𝑑𝑡ℎ ; collective risk of late death, 𝑅𝑖𝑑𝑡ℎ .                       506 of November 4, 2004]. - M., 2004. - 1 p.
    The economic damage 𝐺𝑖 as a result of harm to the health of         2.   Safety data sheet of the critical (dangerous) object of
the population, which can manifest itself in the form of stochastic          Rosatom: [order of the Ministry of Emergency Situations of
effects (radiogenic cancer and hereditary diseases), is estimated            Russia No. 506 of November 4, 2004]. - M., 2006. - 9 p.
by the formula (9).                                                     3.   Methodology for assessing risk indicators for managing the
    Comparison of the obtained damage indicators with those                  safety of critical (hazardous) facilities of ROSATOM:
calculated without taking into account the age composition of the            [Methodology: Approved by the First Deputy Director
population confirms that the adjustment for the age composition              General of the State Atomic Energy Corporation
gives an order of magnitude higher indicators of the risk of                 ROSATOM for the nuclear weapons complex on March 29,
exposure of the population. The emergency exposure of the                    2016]. - M., 2016. - 253 p.
population, taking into account the adjustment, is below the            4.   Rapid assessment of radiation doses to the public in case of
levels that are subject to radiation safety requirements.                    radioactive contamination of the territory by air:
Nevertheless, the results obtained make it possible to argue that            [Guidelines MU 2.6.1.2153-06: approved by the Chief State
the age composition of the population must be taken into account             Sanitary Doctor of the Russian Federation on 04.12.2006].
when developing measures to reduce the risk and mitigate the                 - M., 2007. - 90 p.
consequences for the population and, in particular, for the most        5.   Kabanov, L.P., Berberova, M.A., and others. Risk
sensitive age groups (1-12 years old).                                       assessment of a reference nuclear power plant with a VVER
                                                                             (operating unit of a nuclear power plant with a VVER -
7.   Results                                                                 1000): a report on research and development reg. №
    According to the results of the study, the author achieved the           1821OT10 // International Nuclear Safety Center - M.,
following results:                                                           2010. - 132 p.
    1. Review of existing approaches to assessment of                   6.   Zhukov, I.V., Berberova, M.A., and others. Developing a
        population radiation risk and risk indicators;                       list of safety management measures and assessing risk
    2. Identification of the degree of influence of age                      indicators for Stage 2 of the Kalinin NPP with a WWER-
        composition on the calculation of radiation doses of the             1000 reactor (V-320): a research report on reg. No.
        population at different irradiation routes (external and             2339OT12 // International Nuclear Safety Center - M.,
        internal);                                                           2012. - 109 p.
    3. Modification of the formula for calculating the annual           7.   Procedural Guidelines for Risk Assessment of Hazardous
        effective dose of radiation of the population in the ring            Industrial Facilities. Series 27. Issue 16. – M.: Closed Joint-
        segment of the Rumba taking into account the age                     Stock Company “Scientific and Technical Center for
        composition;                                                         Industrial Safety Research”, 2016. - 56 p.
    4. Calculation of the annual effective dose of different age        8.   SanPiN 2.6.1.2523-09. Radiation safety standards (NRB-
        groups for Rostov and Kalinin NPP with VVER-1000                     99/2009). Approved by the Resolution of the Chief State
        Tapa reactors;                                                       Sanitary Doctor of the Russian Federation // No.47 of
    5. Calculation of physical and economic indicators of                    07.07.2009. - M., 2009. - 75 p.
        damage of different age groups of the population for            9.   Recommendations of the International Commission on
        Rostov and Kalinin NPP.                                              Radiation Protection from 2007: [ICRP Publication 103:
                                                                             approved March 2007]. - Moscow: Proceedings of the
8.   Conclusions                                                             ICRP, 2009. 344 p.
    According to the results of calculations, indicators of
radiation and economic risks from accidents for Rostov and
Kalinin NPPs are within the limits allowed by the requirements
[8] and [9]. Nevertheless, there is a significant deviation in the
positive direction for all indicators in the calculation, taking into
account the age composition. This determines the need to take
into account the results obtained to assess the radiation risk.
    The study makes a significant contribution to the
development of methods for assessing the radiation risk of
nuclear power plants and can serve as an incentive to further
study the influence of external factors such as population
composition,       geographical        features,      anthropogenic
environmental change, etc. on risk assessment.
    Refined estimates of physical and economic indicators will
significantly reduce planning errors in developing measures to
reduce the risk and mitigate the consequences of accidents at
nuclear power plants.

9.   Thanks
    The study was carried out within the framework of grant 19-
07-00455 «Development of models, algorithms and software for
solving the problems of safety and risk assessment at nuclear