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Control system for the RBMK-1500 RELAP5 model


4.5 Fission and Decay Heat Deposition Logic

 

Power is developed in the RBMK by both the mechanisms of fission and radioactive decay. Much of the power is deposited in the fuel itself. A portion of the power is released in the form of g or neutron radiation. It is estimated that approximately 5% of the total fission and decay energy is deposited directly into the graphite structures. Energy loss to the CRCC, purification system are conservatively neglected. The energy deposition results are summarized as follows;

Material

Fission

Decay

Total

Fuel

95.49%

88.88%

95.0%

Graphite

4.51%

11.12%

5.0%

Total

100%

100%

100.0%

RELAP5 provides the fission and decay heat power from the reactor physics package. The total energy to the graphite and the fuel are calculated for the fuel and graphite temperature response calculations.

Total fission power and decay heat

First, the fission power and decay power are obtained from the reactor physics package.

1 CV-1 = fission power

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500100

W1(A) ALPHANUMERIC NAME = fipower

W2(A) CONTROL COMPONENT TYPE = constant

W3(R) SCALING FACTOR = 3.908659e+9

For a constant component, this quantity is the constant value. No additional words are entered on this card, and cards 205CCC01 through 205CCC09 or 205CCCC1 through 205CCCC9 are not entered.

2 CV-2 = decay heat power

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500200

W1(A) ALPHANUMERIC NAME = dkpower

W2(A) CONTROL COMPONENT TYPE = constant

W3(R) SCALING FACTOR = 2.91341e+8

For a constant component, this quantity is the constant value. No additional words are entered on this card, and cards 205CCC01 through 205CCC09 or 205CCCC1 through 205CCCC9 are not entered.

 

Decay heat and fission power deposited in the graphite

The amount of fission energy deposited directly into the graphite moderator is evaluated.

3 CV-3 = Percentage of fission power deposited in the graphite blocks

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500300

W1(A) ALPHANUMERIC NAME = modfi

W2(A) CONTROL COMPONENT TYPE = constant

Specifies a constant variable.

W3(R) SCALING FACTOR = 0.0451

4.51% of the fission power is directly deposited in the graphite blocks.

 

The amount of fission energy deposited in the graphite is evaluated next.

4 CV-4 = (Total fission power)*(% deposited in the graphite blocks)

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500400

W1(A) ALPHANUMERIC NAME = modfipow

W2(A) CONTROL COMPONENT TYPE = mult

Specifies a lag variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 182576304.

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20500401

W1(A) & W2(I) VARIABLE REQUEST CODE V1 = cntrlvar 003

Percentage of fission power deposited in the graphite

W3(A) & W4(I) VARIABLE REQUEST CODE V2 = cntrlvar 001

Total fission power

The amount of decay energy deposited directly into the graphite moderator is evaluated.

5 CV-5 = Percentage of decay heat power deposited in the graphite blocks

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500500

W1(A) ALPHANUMERIC NAME = moddk

W2(A) CONTROL COMPONENT TYPE = constant

Specifies a constant variable.

W3(R) SCALING FACTOR = 0.1112

11.12% of the decay heat power is directly deposited in the graphite blocks.

 

6 CV-6 = (Total fission power)*(% deposited in the graphite blocks)

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500600

W1(A) ALPHANUMERIC NAME = moddkpow

W2(A) CONTROL COMPONENT TYPE = mult

Specifies a multiplier variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 33554044.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20500601

W1(A) & W2(I) VARIABLE REQUEST CODE V1 = cntrlvar 005

Percentage of decay heat power deposited in the graphite

W3(A) & W4(I) VARIABLE REQUEST CODE V2 = cntrlvar 002

Total decay heat power

Decay heat and fission power deposited in the fuel

The energy deposited in the fuel is the remaining fission and decay heat energy.

 

7 CV-7 = total fission power - fission power deposited in graphite blocks

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500700

W1(A) ALPHANUMERIC NAME = ffipow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 3.86568e+9

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20500701

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 001

Total fission power from the reactor physics package

W5(R) GAIN FOR V1 = -1.0

W6(A) & W7(I) VARIABLE REQUEST CODE V1 = cntrlvar 004

Total fission power directly deposited in the graphite blocks

 

8 CV-8 = total decay heat power - decay heat power deposited in graphite blocks

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500800

W1(A) ALPHANUMERIC NAME = fdkpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 2.68191e+8

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20500801

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 002

Total decay heat power from the reactor physics package

W5(R) GAIN FOR V1 = -1.0

W6(A) & W7(I) VARIABLE REQUEST CODE V1 = cntrlvar 006

Total decay power directly deposited in the graphite blocks

Total power to the fuel

Finally, the fission and decay energy are added together to yield the total energy to the fuel and the graphite moderator. The total core power is given in Control Variable 11.

 

9 CV-9 = fission power to the fuel + decay heat power to the fuel

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20500900

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 4.13387e+9

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20500901

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 007

Total fission power deposited directly into the fuel

W5(R) GAIN FOR V1 = 1.0

W6(A) & W7(I) VARIABLE REQUEST CODE V1 = cntrlvar 008

Total decay power directly deposited into the fuel

 

Total power to the graphite

10 CV-10 = fission power to graphite + decay heat power to the graphite

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501000

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 216130352.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501001

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 004

Total fission power deposited directly into the graphite blocks

W5(R) GAIN FOR V1 = 1.0

W6(A) & W7(I) VARIABLE REQUEST CODE V1 = cntrlvar 006

Total decay power directly deposited into the graphite blocks

 

Total power

The total power is the sum of the fission power and the decay heat power.

11 CV-11 = fission power to graphite + decay heat power to the graphite

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 2050110

W1(A) ALPHANUMERIC NAME = totpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 1.0

W4(R) INITIAL VALUE = 4.20+9

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501101

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 001

Total fission power

W5(R) GAIN FOR V1 = 1.0

W6(A) & W7(I) VARIABLE REQUEST CODE V1 = cntrlvar 002

Total decay heat power directly

 

LHS fuel and graphite power

12 CV-12 = LHS Channel fuel power (50% of the total)

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501200

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.5

50% of the total fuel power.

W4(R) INITIAL VALUE = 2.066935e+9

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501201

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 009

Total fission and decay power to the fuel

 

13 CV-13 = LHS Graphite Power (50% of the total)

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501300

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.5

50% of the total graphite power.

W4(R) INITIAL VALUE = 108065176.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501301

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 010

Total fission and decay power to the graphite blocks.

 

RHS fuel and graphite power

14 CV-14 = RHS Channel fuel power (per RHS channel, 47.42236% of the total (788 fuel channels))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501400

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 4.742236e-1

47.42236% of the total fuel power.

W4(R) INITIAL VALUE = 1.96028e+9

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501401

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 009

Total fission and decay power to the fuel

 

15 CV-15 = RHS Graphite Power (per RHS channel, 47.42236% of the total)

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501500

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 4.742236e-1

47.42236% of the total graphite power.

W4(R) INITIAL VALUE = 1.02489e+8

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501501

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 010

Total fission and decay power to the graphite blocks.

16 CV-16 = RHS Channel fuel power (per RHS channel, 2.4674048% of the total (41 fuel channels))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501600

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 2.4674048e-2

2.4674048% of the total fuel power.

W4(R) INITIAL VALUE = 102096656.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501601

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 009

Total fission and decay power to the fuel

 

17 CV-17 = RHS Graphite Power (per RHS channel, 2.4674048% of the total (41 fuel channels))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20501700

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 2.4674048e-2

47.42236% of the total graphite power.

W4(R) INITIAL VALUE = 5337901.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20501701

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 010

Total fission and decay power to the graphite blocks.

24 CV-24 = RHS Channel fuel power (per RHS channel, 0.0892857 % of the total (one fuel channel))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20502400

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.0892857e-3

2.4674048% of the total fuel power.

W4(R) INITIAL VALUE = 3690954.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20502401

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 009

Total fission and decay power to the fuel

25 CV-25 = RHS Graphite Power (per RHS channel, 0.0892857% of the total (one fuel channel))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20502500

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.0892857 e-3

47.42236% of the total graphite power.

W4(R) INITIAL VALUE = 192973.5

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20502501

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 010

Total fission and decay power to the graphite blocks.

26 CV-26 = RHS Channel fuel power (per RHS channel, 0.0209524 % of the total (one fuel channel))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20502600

W1(A) ALPHANUMERIC NAME = fuelpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.0209524e-3

2.4674048% of the total fuel power.

W4(R) INITIAL VALUE = 866145.0

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20502601

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 009

Total fission and decay power to the fuel

27 CV-27 = RHS Graphite Power (per RHS channel, 0.0209524% of the total (one fuel channel))

CARD 205CCC00, CONTROL COMPONENT TYPE CARD

Card 20502700

W1(A) ALPHANUMERIC NAME = modpow

W2(A) CONTROL COMPONENT TYPE = sum

Specifies a sum variable.

W3(R) SCALING FACTOR = 0.0209524e-3

47.42236% of the total graphite power.

W4(R) INITIAL VALUE = 45284.5

Initial conditions established after steady state simulation.

W5(I) INITIAL VALUE FLAG = 0

Zero means no initial value calculation and W4 is used as the initial condition.

CARD 205CCCXX, CONTROL COMPONENT DATA CARDS

Card 20502701

W1(R) ADDITIVE CONSTANT = 0.0

W2(R) GAIN FOR V1 = 1.0

W3(A) & W4(I) VARIABLE REQUEST CODE V1 = cntrlvar 010

Total fission and decay power to the graphite blocks.