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<strong>atw</strong> Vol. 62 (<strong>2017</strong>) | Issue <strong>12</strong> ı December<br />

Case<br />

no.<br />

A01<br />

A02<br />

A03<br />

A04<br />

A05<br />

1<br />

Onset<br />

of severe<br />

accident<br />

2.5 hr<br />

(9003 sec)<br />

2.5 hr<br />

(9003 sec)<br />

2.5 hr<br />

(9003 sec)<br />

2.5 hr<br />

(9003 sec)<br />

2.5 hr<br />

(9003 sec)<br />

2<br />

Depressurization<br />

timing<br />

3 hr<br />

(10804 sec)<br />

3.5 hr<br />

(<strong>12</strong>604 sec)<br />

4 hr<br />

(14405 sec)<br />

4.5 hr<br />

(16205 sec)<br />

5 hr<br />

(17926 sec)<br />

way to the reactor vessel failure. The<br />

fastest injection is initiated one hour<br />

following the SAM entry, to account<br />

for the time required to open the<br />

POSRV, confirm the RCS depressurization,<br />

and align the FLEX portable<br />

pump for the external injection.<br />

To determine the ranges of injection<br />

flow, Equation 1 is used to calculate<br />

the flow rates in con sideration<br />

of the heat removal by the vaporization,<br />

the saturation, and the subcooling<br />

of the injected water, respectively<br />

[17].<br />

(1)<br />

where W is the water injection flow<br />

rate, ˙Q 0 is the decay power level before<br />

shutdown, t is the time elapsed since<br />

shutdown, c Pw is the water specific<br />

heat, ∆T sub is the difference between<br />

the saturation temperature at the RPV<br />

pressure and the water injection<br />

temperature, and h is the enthalpy of<br />

gas (g) and fluid (f), respectively.<br />

The temperature of the injected<br />

water is assumed to be 311 K (100 F)<br />

as the initial condition. For the<br />

minimum flow rate, the injected water<br />

is assumed to change completely to<br />

vapor. If the subcooling of the incoming<br />

water in Equation 1 is ignored,<br />

about 10 kg/sec is determined as<br />

the minimum required value. Alternatively,<br />

if only sensible heat removal<br />

is allowed (ignoring the enthalpy<br />

change term in Equation 1), 30 kg/sec<br />

is required to cool the core by single<br />

phase flow. For sufficient subcooling<br />

margin, 50 kg/sec is considered as the<br />

maximum flow rate in this analysis.<br />

Referring to the document related to<br />

the in-vessel injection of FLEX from<br />

NEI, there is a commercial pump that<br />

can supply up to a range of 50 kg/sec<br />

[18]. It should be noted that for each<br />

3<br />

Onset<br />

of SIT<br />

injection<br />

3.2 hr<br />

(11404 sec)<br />

3.7 hr<br />

(13205 sec)<br />

4.2 hr<br />

(15005 sec)<br />

4.7 hr<br />

(16805 sec)<br />

5.1 hr<br />

(18226 sec)<br />

| | Tab. 2.<br />

Analysis Results according to Depressurization Timing.<br />

4<br />

Time of<br />

first<br />

relocation<br />

to RPV LP<br />

9.2 hr<br />

(33188 sec)<br />

6.3 hr<br />

(22748 sec)<br />

6.7 hr<br />

(24000 sec)<br />

6.5 hr<br />

(23393 sec)<br />

4.8 hr<br />

(17395 sec)<br />

5<br />

Time of<br />

vessel<br />

failure<br />

11.1 hr<br />

(39786 sec)<br />

7.8 hr<br />

(28097 sec)<br />

7.9 hr<br />

(28468 sec)<br />

7.8 hr<br />

(28045 sec)<br />

10.3 hr<br />

(37036 sec)<br />

of the assumed flow rates, the adequacy<br />

of onsite water resources have been<br />

checked for 72 hours.<br />

2.5.3 Assessment of phenomenological<br />

uncertainties<br />

The most important phenomenon<br />

during the in-vessel phase is the core<br />

melting and relocation process given<br />

their potential impact on reactor<br />

vessel integrity. Therefore, it is necessary<br />

to examine the uncertainty about<br />

the parameters affecting these phenomena.<br />

Two parameters are important<br />

in this regard, EPSCUT, which is<br />

the cutoff porosity below which the<br />

flow area and the hydraulic diameter<br />

of a core node are zero, and TCLMAX,<br />

which is the temperature that will<br />

lead to cladding rupture. MAAP5<br />

simulates the melting process as a<br />

progression between five different<br />

configurations (types), each having a<br />

characteristic shape, porosity, and<br />

surface area as shown in Figure 5.<br />

| | Fig. 5.<br />

Types of Solid Core Geometry<br />

during Melt Progression [15].<br />

6<br />

Maximum<br />

molten<br />

mass<br />

in core<br />

7<br />

Mass of<br />

total debris<br />

bed in RPV<br />

lower plenum<br />

8<br />

Period from the<br />

onset of severe<br />

accident to first<br />

relocation to LP<br />

40.7 ton 63.5 ton 6.7 hr<br />

(24185 sec)<br />

55.7 ton 104.4 ton 3.8 hr<br />

(13745 sec)<br />

65.6 ton 100.1 ton 4.2 hr<br />

(14997 sec)<br />

64.4 ton 102.4 ton 4 hr<br />

(14390 sec)<br />

43.4 ton 116.2 ton 2.3 hr<br />

(8392 sec)<br />

As the type number increases, the<br />

porosity and the flow area decrease.<br />

While type 1 denotes an intact fuel<br />

rod, type 5 means the molten pool has<br />

completely melted.<br />

When the core melting begins,<br />

the mass of each core node moves<br />

gradually to the bottom (candles<br />

down). When the porosity of the core<br />

node becomes 0.1, which is the default<br />

value obtained by benchmarking the<br />

TMI accident in MAAP5, it becomes a<br />

block node that is no longer mass<br />

transferable as type 4 [19]. Therefore,<br />

changing this cutoff porosity value<br />

(EPSCUT in MAAP5) can change the<br />

core melting and relocation process.<br />

The default value of EPSCUT is 0.1,<br />

the minimum value is 0, and the<br />

maximum value is 0.25 according to<br />

MAAP5 manual.<br />

The clad rupture also affects the<br />

core melting and relocation process.<br />

When the clad temperature reaches to<br />

2,500 K, the core clad rupture could<br />

occur. After the clad rupture, the mass<br />

relocation to the lower plenum of<br />

vessel throughout the bypass region<br />

or downcomer occurs radially in the<br />

blocked node as shown in Figure 6.<br />

| | Fig. 6.<br />

Breach of Side Crust of Molten Pool [15].<br />

9<br />

Period from<br />

the onset of<br />

severe accident<br />

to vessel failure<br />

8.6 hr<br />

(30783 sec)<br />

5.3 hr<br />

(19094 sec)<br />

5.4 hr<br />

(19465 sec)<br />

5.3 hr<br />

(19042 sec)<br />

7.8 hr<br />

(28033 sec)<br />

ENVIRONMENT AND SAFETY 749<br />

Environment and Safety<br />

Analysis of the In-Vessel Phase of SAM Strategy for a Korean 1000 MWe PWR ı Sung-Min Cho, Seung-Jong Oh and Aya Diab

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