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with steam (saturation condition) when the reactor is on power, and hence, any heat transfer from the fuel to the coolant increases the void fraction only while the coolant temperature remains unchanged.

  1. Power coefficient

The power coefficient is the reactivity change due to a small change in the core thermal output, when the above three reactivity coefficients are combined. At the rated power operation, the power coefficient remains negative throughout the operation cycle.

The appropriateness of the reactivity design of the core is evaluated according to a regulatory guide*5 of Japan, "Evaluating Reactivity Insertion Events of Light Water Nuclear Power Reactor Facilities (LrSE-1.03, Latest revision in 1990)." For ensuring nuclear safety in a reactivity insertion event, the maximum value is set for the enthalpy of fuel as a safety limit Detailed explanations of these safety limits are outside the scope of this book.

  1. Core stability

Nuclear reactors must remain stable against any external disturbance during their normal operation without divergent power oscillations. BWR plants have this stability owing to the appropriate design of the fuel thermal-hydraulic characteristics, reactivity coefficients, and plant control system.

  1. Channel hydraulic stability

Channel hydraulic stability is associated with the channel flow oscillation properties due to purely hydraulic factors. The ratio of the pressure losses between the boiling and non-boiling (sub­cooling) regions of the BWR core is appropriately set so that no hydraulic instabilities occur either in the entire core or locally.

  1. Core stability

Core stability is associated with the neutron flux oscillation properties due mainly to nuclear factors. As already mentioned, both the void coefficient and the Doppler coefficient are negative and uranium dioxide fuel has low

*5) [Translator’s note] The key regulatory guides authorized by the Nuclear Safety Commission of Japan are downloadable from its homepage < http://www.nsc.go.jp/NSCenglish/>.

thermal conductivities, so that the BWR core has a very good overall dynamic stability, considering the nuclear, thermal and hydraulic characteristics.

  1. Zone stability

Zone stability is associated with the neutron flux oscillation properties with phase differences in different zones of the core due mainly to thermal-hydraulic factors combined with nuclear factors. The above-mentioned thermal-hydraulic and nuclear stabilities exclude the risk of zone instability.

  1. Plant stability

Pressure increases in a BWR core decrease its void fraction resulting in a positive reactivity feedback. In order to avoid them, a "constant­pressure control policy" is adopted in combination with the functions of the recirculation flow control system and feed water control system, and the reactor response remains stable to any external disturbance.

  1. Core stability against xenon oscillation

Changes in xenon density accumulated in the core causes power oscillation. Due to the large negative power coefficients, a BWR core remains stable against the xenon oscillation.

  1. Operation and management of the core

i) Refueling

A BWR core is refueled periodically at the end of each operation cycle of about one year (an operation cycle is the period between two consecutive refuelings). When the core loses its capability (reactivity) to generate the rated thermal output at the end of one operation cycle, the number of fresh fuel assemblies required for the next operation cycle is determined. The number and location of irradiated fuel assemblies to be discharged from the core, and the location of fresh reload fuel assemblies to be loaded in the core are determined by considering the actual depletion (burn up) of individual fuel assemblies. The refueled core, also called the reloaded core, must meet the afore-mentioned design requirements (Section 2.3.2) of shutdown margin, thermal-hydraulic design limits and other criteria.

The number of replaced fuel assemblies may vary slightly at each operation cycle, but about one fourth of the fuel assemblies in the core are

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Chapter 2 Systems of BWR Nuclear Power Plants

discharged from the core at each cycle. That is, a refueled core has approximately 25% fresh fuel and approximately 75% of partially irradiated fuel. These fresh and reloaded fuel assemblies are arranged in appropriate locations in the core.

  1. Shutdown margin test

After the core is refueled in a scheduled outage, the shutdown margin is tested prior to the start of a new operation cycle for confirming that the reactor can be brought to the sub-critical condition at room temperature with the appropriate margin, under the condition that one control rod of the maximum worth is fully stuck outside of the core.

In an ABWR plant two control rods are driven by one control rod drive unit, so the shutdown margin test is performed with two control rods of maximum worth attached to one control rod drive unit stuck outside of the core.

  1. Core operation

  1. Reactivity control by control rods

The reactor is brought to the critical condition and to the rated power by withdrawing control rods from the core. While in operation at a constant power, the reactivity of the core gradually changes in the course of time; reactivity changes due to consumption and production of fissile nuclides (U-235 and Pu-239) as a result of fuel burn up, reactivity changes due to the burnable poison (gadolinia) burn up, etc. The control rods in the core need to be maneuvered from time to time to compensate for such gradual reactivity changes.

The control rods also adjust the core power distribution. The control rod insertion pattern is determined so that the operation limits (e.g., the minimum critical power ratio and the maximum linear power density) are satisfied.

  1. Reactivity control by coolant flow control

Reactor power can partially be controlled by adjusting the coolant flow through the core. The principles of such power control mechanism are discussed below.

If the coolant flow through the core is increased, this enhances the sweeping out of the in-core void. Since the void production rate remains unchanged, the void fraction decreases, and a positive reactivity is added to the core (void coefficient). Consequently, the reactor power

increases until a new equilibrium power level is achieved, when the negative feedback reactivity by the increased void fraction counterbalances the transient excess reactivity initially caused by the decreased void fraction (due to the increased coolant flow). On the contrary, in order to reduce the reactor power level, the coolant flow through the core may be decreased. In the meantime (either to increase or to reduce the reactor power) no control rod maneuvers are needed.

Figure 2.3.22 shows a typical power-flow operating map of a conventional BWR-5. If the control rods are maneuvered (moved in or out) while keeping the speed of the recirculation pumps constant, the reactor power will change along the recirculation pump constant speed line on the graph. On the other hand, the reactor power response to a change in the speed of the recirculation pumps, while the control rod profiles remain unchanged, will be along the flow control line on the graph. The stability limiting line represents the maximum allowable operation condition in the "low flow- high power" region, set for increased stability.

In an ABWR, the stability limit line is eliminated owing to the design measures for increased stability (Figure 2.3.23).

  1. Preconditioning interim operating management recommendation (PCIOMR)

Experience has shown that, among various design considerations to prevent fuel cladding failures as already mentioned in the preceding sections, precautions in operation management are equally effective as design considerations to prevent fuel cladding failures due to mechanical interactions between pellets and fuel cladding (Section 2.3.1- (2)-b)-i)). There is a strong correlation between the reactor operation and the cladding failures caused by the mechanical interactions between the pellets and cladding. This operation is called PCIOMR and it is based on the extensive experimental results obtained from the experimental reactor of the General Electric (GE) Company and other sources. The experimental results showed that below a "threshold value" of the linear power density, no cladding failures occurred no matter how fast the power was changed. However, above the

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threshold value the reactor power increase must be done gradually. Once the fuel had experienced this gradual power change over time beyond the threshold value, the fuel could maintain its integrity up to the elevated linear power density it experienced, no matter how fast and frequent the subsequent power increases. This is the operating condition incorporated in the PCIOMR

The PCIOMR is extremely effective in maintaining fuel integrities, but it also imposes limitations on reactor operation. The PCIOMR requires a relatively lengthy start-up time. It also requires that the power be substantially lowered prior to any adjustment of the control rod pattern in the core. These requirements limit the operational flexibility and availability of the nuclear power plant. Various measures have been taken to mitigate such limitations, e.g., the power distribution in the core has been flattened as much as possible for lowering the maximum linear power density and the fuel loading patterns in the core have been improved. However, the PCIOMR limitations imposed on reactor operation are being gradually mitigated by the utilization of zirconium liner cladding (Section 2.3.1(1) - i)).

  1. Monitoring of core performance during normal operation

During the normal reactor operation, the linear power density, the minimum critical power ratio

and other important parameters are monitored by the operation monitoring system (process computers) and other instruments. Thermal output of each fuel assembly, the minimum critical power ratio and other operational parameters are determined by the neutron flux distribution (provided by nuclear instrumentations), the thermal output of the core, the core coolant flow and other parameters. Thermal output of the core is calculated from the plant heat balance data such as feed water flow, their temperatures and reactor pressure. The core flow rate is obtained from the flow rate of the jet pumps. In an ABWR, the core flow is obtained from the pressure difference across the recirculation pumps.

The power distribution of the nuclear reactor is controlled by either the control rod maneuvering or the core flow control, while constantly monitoring the core with instruments.

  1. Failed fuel detection

Radioactivity concentration in the coolant is continuously monitored during operation. When a possible leak from a fuel assembly is detected, sipping tests are performed during the periodical inspection outage of the plant. Upon identifying failed fuel assemblies, they are removed from the core and not used in the next operation cycle. Such core management schemes facilitate effective fuel bum up while meeting the safety requirements.

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