This paper makes a comparison of the results of eXperimental and theoretical studies that have been carried out on the properties of the engineering model of the Beloyarskii atomic electric station under construction in the USSR, which uses nuclear superheating of the steam. It is shown that a number of the simplifying assumptions are correct which are often used in discussing the dynamics of nuclear power stations.The results of the studies may be used to make a theoretical analysis of the dynamic properties of several types of nuclear power installations, as well as in analyzing and synthesizing the optimum control system.Notation q()
specific heat load, referred to length of segment, kcal/hour · m
-
f(x)
distribution function of specific heat load along the length of segment
- ()
heat transfer coefficient, including the thermal resistence of the fuel element, kcal/m
2 · hour · degree
- t
f.e. (x, )
the current value of fuel element temperature, averaged over the corss section, degrees C
- t(x, t)
current value of coolant temperature, degrees C
- p
perimeter of fuel element, bathed by coolant, m
- m
weight of metal per unit length of fuel element kg/m
- C
M
heat capacity of metal and fuel element, kcal/kg · degree
- i(x, )
current value of heat content of coolant, kcal/kg
-
specific gravity of coolant, kg/m
3
- S
live cross section of fuel element, m
2
- D(x, )
current value of flow of steam phase, kg/hour
- G(x, )
current value of the flow of water phase, kg/hour
- (x, )
current value of the fraction of the cross section occupied by steam
- ,
specific gravity of water and steam at saturation temperature, kg/m
2
- i, i
heat content of water and steam at saturation temperature, kcal/kg
- t
S()
saturation temperature, degrees C
- P
i()
pressure in i-th segment, kg/m
2
-
l
height, determining the level pressure between segments, m
- g
acceleration of gravity, m/hour
2
- w
i()
coolant velocity at the i-th segment, m/hour
- D
i()
steam flow at the i-th segment of the superheating circuit, kg/hour
- V
i
volume of i-th segment of the superheating circuit, m
3
-
mean steam temperature at the i-th segment for the superheating circuit, degrees C
- k
1,k
2,k
3,k
4
constant coefficients
- N/N
0
relative power change in the evaporating channels, %
- P
I, P
II
pressure change in the first and second loops, atm
- t
sps, t
fw
change in temperature of superheated steam and feed water, respectively, degrees C
Translated from Atomnaya Énergiya, Vol. 15, No. 2, pp. 115–120, August, 1963
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