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Chapter 11

SOME ENGINEERING PROBLEMS OF TICS

In this chapter we shall discuss briefly some problems related to the practical use of thermionic converters. *

1. Current-Voltage Characteristics

The families of current-voltage characteristics--taken at different cathode temperatures, cesium vapor pressures, and interelectrode spacings -- are the main input data for the selection of a new cathode material or for the design of a converter for some application. The characteristics are obtained from devices with cylindrical or plane parallel electrodes [1-3]. Such a device [2] is shown in Fig. 11.1. In this device, the lateral surface of the cathode is surrounded by a metal shield, resting on insulators, to reduce the lateral energy losses and to reduce the edge effects. The anode has a guard electrode. The interelectrode gap varies smoothly from 12 m m to 1 mm, and arrangement is provided for preventing misalignment of the cathode and anode surfaces. The electrode temperature may vary over a wide range and can be stabilized at a desired value.

Fig. 11.1

A typical family of current-voltage characteristics of a diode with a polycrystalline tungsten cathode with [110] preferred orientation (average vacuum work function of » 5 eV), at TC = 2153° K, and with an interelectrode distance of 0.127 mm is shown in Fig. 1l.2a [4]. It is easily seen in the figure how the tendency toward current saturation gradually disappears as cesium vapor pressure increases.

If an envelope is plotted for the characteristics taken at different

??

__________________

*Editor’s note: This useful chapter summarizes the development of TIC applications up to 1972. Since then the French thermionic program has been terminated, and the U.S. and German programs have been reoriented to emphasize terrestrial applications and low temperature converter operation. The USSR program is reported to be continuing along the lines described for their work here. Recent reviews of the status of the various programs and applications can be found in the Proceedings of the 3rd International Conference on

_____________

co-sponsored the Government and in the Proceedings of the 1975 Thermionic Electrical Power Generation (Jülich, June

Conversion Specialists Meeting @ (Eindhoven, Sept. 1-3,

1975).

of the Federal Republic of Germany Kernforschungsanlage Jülich GmbH and International Atomic Energy Agency and the Nuclear Energy Agency of the OECD.

@Co-sponsored by I.A.E.A. International Atomic Energy Agency (Vienna) European Nuclear Energy Agency - OECD (Paris) and Eindhoven University of Technology (Eindhoven).

424

cesium pressures then an output curve is obtained with cesium pressure optimized at each point of the curve. A family of these curves (optimized with respect to PCs) at different cathode temperatures is shown in Fig. 11.2b. The data of Fig. 11.2 are for a converter with a nickel anode. However, tungsten was vaporized from the cathode to the anode during the converter operation, which leads to a decrease of the anode work function to 1.43 eV.

Fig. 11.2

By using the optimized characteristics, the maximum power available from a particular material, at some given interelectrode spacing d, can be determined for each cathode temperature. However, in practice, the maximum power cannot always be used because of the high current densities which lead to large ohmic drops along the electrodes, the interelectrode couplings, and the current busses. Therefore, specific TIC outputs for different cathode materials are compared in [4] with identical current densities taken at the level 20 amp/cm. The results of this comparison for polycrystalline tungsten, rhenium, and tungsten with preferred [110] orientation are presented in Fig. 11.3. It is obvious from this figure that a tungsten cathode with an oriented surface and large vacuum work function has specific advantages over ordinary polycrystalline tungsten and even over rhenium.

Fig. 11.3

When comparing the data for different materials, it is necessary to take note, not only of the purity of the metal and the care in the outgassing of the electrodes, but also of the method for treating the cathode surface. For example, it is known that the close-packed planes of a metal (the [110] face of W), which vaporize more slowly, are usually the ones exposed by chemical etching; while a simple, smooth surface is created by electropolishing. The way this is reflected in the current-voltage characteristics of a converter is easily seen in Fig. 11.4, where the characteristics for a rhenium emitter, optimized with respect to PCs, are presented [1]. During prolonged operation of the cathode, the surface structure will again be altered by evaporation and migration of atoms if the initial surface does not coincide with a face having minimum surface energy (see §6, Chapter 2). The opinion has been advanced that the emission properties of oriented surfaces will worsen in time as a result of recrystallization. However, this is not always true: according to data of [5], an etched surface operates stably for several thousand hours even in a reactor.

Fig. 11.4

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The output parameters of a TIC usually decrease as interelectrode distance increases because of the increase in electron scattering in the plasma. However, the internal resistance of a TIC plasma is in no way proportional to the width of the gap, because the density distribution, the pre-electrode barriers, and other plasma parameters all vary as d varies (see §6, Chapter 9).

To illustrate the dependence of the diode output parameters on d, the optimized characteristics of a converter with a rhenium cathode at TC = 1900° K are shown

426

in Fig. 11.5 [1]. It is obvious from the figure that the function j(d) is not always monotonic in the range of large output voltages and small gaps. This is related to the fact that under these conditions there is a transition from the diffusion to the arc mode. This contributes to the increase of current with interelectrode distance. During this transition, the electron density increases sharply and the potential distribution in the plasma and near the electrodes changes radically, while the total voltage across the gap, as with any breakdown, may even decrease.

Fig. 11.5

Anode temperature also has a weak effect on the output parameters of the diode converter. When the thermionic emission from the anode is small, the characteristics only shift to the left because of a decrease of the anode work function. When emission from the anode begins to comprise a significant fraction of the total current through the device, the output parameters decrease [6]. This is easily seen, for example, in Fig. 11.6 [2].

Fig. 11.6

It is shown in Fig. 11.7 how the conversion efficiency and output power density vary as a function of cathode temperature [7].

Fig. 11.7

2. Prospects for Increasing TIC Output Parameters

The TIC output parameters can be improved in various ways: by an increase of cathode temperature, a decrease of interelectrode distance,

427

introduction of different additives which optimize the cathode and anode work functions, and also design and engineering improvements directed toward decreasing the electrical and thermal losses.

The most obvious method for increasing the conversion efficiency is to increase the cathode temperature and decrease the inter-electrode distance, but this greatly complicates the engineering of the device and reduces reliability.

One of the possible methods for increasing TIC efficiency is to introduce additives which can optimize the electrode work functions. There were great hopes, for example, for improvements from the introduction of barium vapor into the converter gap [9]. Barium has a high adsorption energy and a comparatively low pressure would be sufficient to achieve an optimum cathode work function. In this case, cesium is required only to compensate for the electron space charge. Its pressure could be low, so that one could even hope to extract the total emission current without an appreciable voltage drop in the plasma. Although the introduction of barium also makes it possible to extract rather large currents at cathode temperatures of 2000° K or more [9, 10], an appreciable output improvement is not achieved, mainly because of an increase in the anode work function. An anode in cesium vapor has a work function of 1.5 - 1.6 eV; the introduction of barium increases it to 2.0 eV or more (see §10, Chapter 2).

Another method for increasing TIC efficiency is to use electronegative additives (primarily oxygen or CsF) to reduce the optimum cesium pressure. The anode work function apparently can also be reduced by oxygen, and thus, the output voltage car be increased.

It is reported in [1, 11] that introduction of oxygen made it possible to improve the output parameters fourfold, the same as was achieved when the interelectrode gap was decreased. The main difficulty in introducing oxygen is the necessity of controlling rather precisely

428

the amount of oxygen during converter operation.* One of the methods for obtaining a regulated oxygen partial pressure is to introduce a second reservoir with cesium oxide, held at a specific temperature. However, the presence of two reservoirs (for cesium and cesium oxide) in a TIC introduces some design complications. Therefore, in [1, 11] diodes were tested in which the pressures of both the cesium and the oxygen were regulated by the temperature of the cesium oxide; the Cs was not introduced separately.

The improvement can be seen from Fig 11.8 where the current-voltage characteristic of a diode (at TC = 1860° K) with cesium oxide is shown, and where the characteristic (at TC = 1900° K) in cesium vapor without oxygen is presented for comparison. CsF affects TIC performance much more weakly than oxygen. According to the data of [1], the vacuum work function of rhenium is increased by 0.3 eV with the introduction of CsF. The authors of [1] explain the earlier reports about a stronger effect of CsF by the presence of water in poorly degassed CsF salt.

Fig. 11.8

The main difficulty in using oxygen and other electro-negative additives is the poor converter stability and the poor reproducibility of the data. Whereas an operation lifetime above 10 thousand hours for laboratory diodes with cesium vapor is now rather common, there are reports of diodes with oxygen additives with a lifetime of no more than 300-400 hours, with a parameter stability of + 10%. Alloys of refractory metals and metallic compounds (carbides and borides), which have

a work function close to optimum (2.6 - 2.9 eV) at cathode operating temperatures, may also be used in TICs [12]. However, in this case, evaporation of the cathode material onto the anode may severely degrade the converter performance during prolonged operation.

3. The Reactor Converter

As already noted, interest in thermionics for electric power generation is explained to a considerable degree by the fact that TICs have been combined successfully with nuclear reactors. Numerous reports have indicated that the weight and overall dimensions of such a nuclear power plant (NPP) have favorable prospects for use in spacecraft to supply power for electric propulsion and other on-board equipment [13].

__________

*strong oxidation leads to rapid evaporation of the electrode because of the high vapor pressure of the oxide compared to the vapor pressure of the metal itself. Consequently, there is a decrease in converter operating life.

429

The essential NPP and TIC units for a spacecraft, and their approximate configuration, are presented in Fig. 11.9 [14]. The thermionic reactor (1) generates electric power, which is transmitted through the low-voltage bus (17) to the electric power conditioner (16), from which goes a high-voltage bus (15). The reactor is cooled by the primary coolant loop (12), which operates from a pump (13). Heat is transferred through the heat exchanger (14) to the secondary ("pure") coolant loop (10), which operates from pump (9). Heat is dissipated by the main radiator (11).

Fig. 11.9

An auxiliary coolant loop (7) with a pump (6) and auxiliary radiator (8) is provided for better cooling of the electrical power conditioner (16) and the other equipment (18). The main reactor shielding (4) shields only that solid angle inside which the spacecraft cabin is located. Supplementary shielding (5) against the radiation of the primary loop (12) and the heat exchanger (14) is also provided. The reactor monitoring and control system (2) and (18), and also the cesium reservoir with a getter for the gases given off in the reactor (3), are shown in the figure.

A thermionic reactor for supplying electric power to a spacecraft is a very complicated device, and naturally, a great deal of attention is being devoted to its design and optimization and to its technology and reliability. Thermionic reactors of different types are being considered: those based on slow and those on fast neutrons [15], those with diodes in the reactor core and those with diodes outside the reactor. Different methods of heat transfer are being analyzed: liquid metal or gas coolants, heat pipes, and thermal radiators.

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The core in a fast-neutron reactor consists only of the thermionic fuel elements cooled by the heat-transfer loop.* The highest values of electric power per unit volume of core are achieved in reactors of this type. A disadvantage of reactors of this type is the large inventory of fissionable material required.

The core in slow-neutron reactors consists of a moderator with thermionic fuel elements inserted into special channels. The power densities in these reactors are much smaller than those in fast-neutron reactors. However, these reactors allow a minimum fuel inventory and are more economical for power outputs up to several hundred kilowatts

[15].

It is suggested in most designs that the fuel be located inside the cathode and that the diodes be connected in series in a single channel. In this case, the anodes of different diodes are at different potentials and must be insulated from the reactor coolant. Several TICs, joined together and attached through a layer of insulation to a common metal envelope, form the thermionic fuel element (TFE). Special guide pins are provided in the designs of real TFEs [16] for the precise positioning of the cathode inside the anode.

A characteristic feature of a reactor as a heat source is the rather severe non-uniformity of heat release in the core, which causes non-uniform heating of the cathodes of the different diodes, Since the operating conditions of a thermionic converter are very sensitive to cathode temperature, special measures must be taken to equalize the temperature through the core. Equalization is achieved in fast-neutron reactors by reflectors and by using a variable distribution of the fuel in the core, whereas equalization can be achieved in slow neutron reactors by selecting in an appropriate manner the fraction of moderator for different cells of the core.

Design of the reactor as a whole and calculation of heat release in individual elements is a very complicated problem. Special experiments with critical assemblies are required in some cases [17]. Under specific conditions, the temperature regime of individual converter diodes may have a specific thermal instability [18, 19]. This occurs because, in most cases, the cathode operates on the descending segment of the S-curve where the emission current decreases as temperature increases. Thus, electron cooling at the cathode also decreases. And if electron cooling is prevalent in the overall heat balance, the cathode temperature increases even further. As a. result, the temperature of the fuel element increases sharply until it melts or until the thermal regime again becomes stable because of an increase of radiation or because it approaches the ascending part of the S-curve.

The main operating feature of a reactor converter for a spacecraft is the comparatively high anode temperature. This is high because of the radiator temperature needed--which in turn is determined by the weight, overall dimensions, and strength specifications of the radiator. The optimum radiator temperature is close to 1000° K [20]. The weight of the radiator increases for lower temperatures, while, for higher temperatures, the strength of the structural materials decreases, and the output energy characteristics of the converter decrease. It is fortunate that at this required temperature of l000° K the anode work function is close to a minimum. Because of the inevitable thermal and electrical

____________

*The core is surrounded on the outside by a neutron reflector.

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losses, because of mismatched diodes, and also because of the difficulties in providing very small gaps, the reactor converter must be designed on the basis of smaller specific output parameters than those which are obtained with laboratory models. Electrical losses are especially important. Therefore, it is desirable to have diodes with a maximum output voltage, even at a cost of some decrease in electrical power.

The approximate values for the output power and efficiency of a converter in a reactor are presented in Table 11.1, as a function of cathode temperature, from data of [20].

The primary problem in evaluating the different varieties of thermionic reactors for spacecraft is the weight of the system. To illustrate this problem, the data of [20] for the weight of the main components of the power plant are presented in Table 11.2 as a function of electric power in the range from 100 to 10,000 kW. The figures given are obviously conditional to a certain extent. This follows at least from the fact that the power density in all cases was assumed equal to 5 watt/cm of cathode surface.

Table 11.1 Output Power Density and Efficiency
of a Converter in a Reactor

Cathode Temperature

Output Power

Efficiency

° K

Density watt/cm2

h %

1550

1.0

5.4

1610

1.5

6.4

1650

2.0

7.4

1720

3.0

8.9

1790

4.0

10.0

1930

6.0

11.7

2180

10.0

13.9

Table 11.2 Weights of the Main Components of a Thermionic Nuclear Power Plant for a Spacecraft [20]

Total Electric Power Weight in kg per kW of Electric Power

kW

100

200

500

1000

2000

5000

10000

Reactor

7.3

4.2

2.9

2.5

2.2

1.9

1.6

Shielding

22.5

15.0

9.5

6.5

4.5

3.5

2.5

Radiator

3.1

3.2

3.3

3.4

3.5

3.6

3.8

Bus

0.2

0.2

0.2

0.2

0.3

0.6

0.8

Power Conditioner

2.0

2.0

2.0

2.0

2.0

2.0

2.0

Total System Weight

35.1

24.6

17.9

14.6

12.5

11.6

10.7

The figures given in Table 11.2 indicate that orbiting of nuclear thermionic power plants, even in the megawatt range, is a problem which can be solved by modern launch vehicles such as the Saturn-5.* It is obvious from Table 11.2 that the main weight in plants of lower output is in the shielding.

_______

*We recall that the Saturn-5 rocket carries an artificial satellite payload of 109 tons into orbit, whereas a l000-kW plant, according to the data of Table 11.2, would weigh approximately 15 tons.

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However, the weight of the shielding increases much more slowly than reactor power, whereas the weight of the radiator per unit power output remains almost constant. Therefore, as electric power increases, the fraction of the radiator in the total weight of the plant increases.

Outside of the Soviet Union, designs for medium output power (20 - 200 kW) have been investigated, for example, in West Germany, with their ITR (Incore Thermionic Reactor) system [17, 21, 22]. The main purpose of the ITR system is to supply electric power for satellites in synchronous orbit which relay television programs directly to ordinary household antennas. The electric power required on board the satellite for this application is in the range of 1- 100 kW per TV program, depending on the area of signal reception on the earth.

The ITR system (in other modifications) is planned to supply power for manned orbital stations and also to supply power for electric propulsion engines. For terrestrial applications, the ITR can be used for autonomous remote stations -- for example, at the bottom of the ocean.

The ITR system (Fig. 11.10) consists of an inner core which generates electric power and an outer driver core which provides the required critical size of the reactor. The required excess reactivity for two years of operation is 11%.

Fig. 11.10

In the minimum size (200 kW of electrical power), the inner core contains 19 TFEs (thermionic fuel elements), each of which is surrounded by a moderator of zirconium hydride or yttrium hydride. The cuter core has 414 rods containing both fuel arid moderator.

The electrical power of a thermionic reactor can be increased with minimum alterations to the system by replacing some of the rods of the outer core with thermionic fuel elements. Thus, in the 30-kW version, the weight of the entire system is equal to 2,000 kg,

433

but in the 50-kW version it increases to only 2,500 kg. Radial beryllium reflectors in the form of rotating drums can be seen in Fig. 11.10. A neutron absorber, which provides coarse regulation of the reactivity, is located on part of the drum surface.

The main characteristics of the ITR system are presented in Table 11.3. Part of the thermionic fuel element - the diode converter with connections - is shown schematically in Fig. 11.11. The fuel (UO2) in the form of pellets is located in channels 3.6 mm in diameter inside a molybdenum emitter (20 mm in diameter). The emitters are insulated from each other by ceramic rings, which simultaneously fix the interelectrode gap at 0.15 mm. Isolated channels are provided in the TFE to supply cesium to the diodes and to bleed off the gaseous fission products. Good equalization of the heat flux in the TFE is achieved by appropriately distributing the fuel and moderator concentration along the axis of the reactor. That is, there is less fuel in the middle region than at the ends. Special anti-diffusion layers are provided to reduce hydrogen loss from the hydride during operation. Some current-voltage characteristics of a single TFE diode, taken during electrical heating, are shown in Fig. 11.12.

Fig. 11.12

Table 11.3 Main Characteristics of the ITR System [17, 21, 22]

Reactor

Inventory of U235

16 kg

Height of core

450 mm

Diameter of core

396 mm

Thickness of lateral and axial reflectors

100 mm

Inner (Thermionic) core

Electric power

20 kW

Number of diodes per TFE

19

Cathode temperature

1800° K

Anode temperature

920-970° K

Power density

4.5 watt/cm2

Heat flux at emitter

50 watt/cm2

Fuel (UO2)

317 g per TFE (93%U235)

Voltage per TFE

4.5 V

Current per TFE

200-300 A

Cathode diameter

20 mm

Cathode material

Mo with a layer of W

Interelectrode gap

0.15 mm

Booster Core

Number of rods

414

Weight of fuel with moderator

136 kg

Thermal Conditions

Thermal power of inner core

240 kW

Thermal power of outer core

1160 kW

Rate of coolant pumping (Na)

11.5 kg/sec

Maximum flow rate of coolant

in inner part of core

2.3 in/sec

in outer part of core

1.7 m/sec

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Fig. 11.11

Investigations are being carried out in the United States mainly on three designs [23, 24]: 10 kW, to supply power for the on-board equipment of automatic space stations; 40 kW, to supply power for a manned orbital space observatory; and 120 kW, to supply power for the auxiliary electric propulsion on unmanned satellites.

The 120-kW thermionic reactor has a neutron spectrum close to that of fast breeder reactors, while the smaller reactors have a moderator (ZrH).

Despite this appreciable difference it was possible to standardize the TFE’s considerably. The 120-kW thermionic reactor has 162 TFEs; the 10-kW reactor has 19 TFEs; and the 60-kW reactor has 60 TFEs. In the two latter reactors, the TFE region is surrounded by a booster core as in the ITR reactor. Each TFE has six diode converters, connected in series; the length of each diode is 7.36 cm. The fuel composition

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Table 11.4 Three Thermionic Reactor Power Systems for Space Applications [23, 24]

Parameters

Reactor with

Reactor with

Reactor with

162 TFEs

19 TFEs

60 TFEs

Core diameter (cm)

47.62

32.91

45.72

Reactor diameter (cm)

61.28

52.70

67.3

Power density (watt/cm2)

3.4

1.2

3.0

Number of TFEs connected in series

6

2

2

Voltage on output terminals of converter reactor (v)

23

10

9

Power at output terminals of converter reactor (kW)

164

7

54

Thermal power of reactor (kW)

1480

350

1235

Average temperature of Sodium-potassium coolant (° C)

725

550

550

Inventory of U235 (kg)

195

Maximum flux of fast neutrons (E > 0.15 MeV) during 104 hours

2.4xl021

0.94x1021

Average neutron energy during generation/fission/absorption (keV)

390/235/170

166/3.1/.05 eV

Neutron-multiplication factor without losses though surface (k¥ )

1.86

Inner Core 1.34

Booster Core 1.63

Absorption and leakage of neutrons (per neutron)

U

0.5082

0.6210

W

0.0457

0.0628

Nb

0.0303

0.0167

Ta

0.0122

0.0124

NaK

0.0012

0.0039

ZrH

--

0.0207

Other materials

0.0004

0.0114

Axial leakage

0.1246

0.0720

Radial leakage

0.2774

0.1791

Total

1.0000

1.0000

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consists of 90% UC and 10% ZrC. The emitter is tungsten, the collector is Nb, and the insulation is A1203.

Some data for these thermionic reactors are presented in Table 11.4.

The thermionic reactor for an orbital observatory (12 - 15 men) is being designed in two versions. In one version it is connected to the main station by a boom 60 m long, and in another version by a cable 3.2 km long. Electrical power is obtained through the cable by three-phase current at a voltage of 4.8 kV.
A great reduction in shielding weight is achieved in the cable version because of the separation of the reactor from the station.
A great deal of attention is being devoted to the reliability of the system, which is designed for continuous operation over a period of five years. Breakdown of individual diodes, radiator tubes and other components is compensated for by excess electric power at the beginning of operation.

In the United States, after testing TFEs for an extended period, full-scale ground tests of the thermionic reactors being designed is planned to begin during the period 1977—1978.

Some general characteristics of a thermionic reactor with a rating of 4 MW are presented in Table 11.5. This was designed by the General Electric Company to supply power for an electric propulsion engine.

There are plans to use thermionic converters not only in space but also undersea, for example, the French design of an autonomous nuclear power plant (20 kW) for operation on the ocean floor [25].

The thermal flux to TIC anodes at 700 - 800° C can be used by thermoelectric (semiconductor) generators (TEGs) [26] if water cooling is available. Thus, a compact plant for direct (non-mechanical) conversion of heat to electric power with an efficiency up to 30% can potentially be achieved.

4. Use of Heat Pipes

As already indicated, when developing a thermionic reactor, thermionic diodes can be located directly inside the reactor (the in-core version) or outside the reactor (the out-of-core version). Each of these methods has its own advantages and disadvantages. It is necessary in the out-of-core version to transport enormous heat fluxes at high temperatures. This problem can be solved by using heat pipes, which have efficient heat transfer--one thousand times greater than that of copper, one of the best thermal conductors. Heat pipes permit new solutions to many problems in the design of power plants.

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Table 11.5 General Characteristics of a 4 MW Thermionic Reactor Designed by General Electric Company

Main Parameters of Converter Plant

Cathode (emitter) temperature

2000° K

Anode (collector) temperature

1075° K

Average electric power

9.2 watt/cm2

Total voltage at output

51.4 V

Total current

75,000 A

Conversion efficiency

13.8%

Electric power at output terminals

3.88 MW

Main Design Parameters

Number of fuel elements

1387

Inventory

700 kg

Core diameter

79.5 cm

Core length

94.0 cm

Thickness of reflectors

upper

15.3 cm

lower

11.5 cm

The operating principle of a heat pipe can be easily explained by using Fig. 11.13 [27]. A heat pipe is a closed, evacuated vessel containing a small amount of working fluid. This fluid is evaporated in the hot zone, where heat is supplied; the vapor moves along the pipe and is condensed at the cold end, from which heat is removed. Return flow of the material is accomplished through capillaries built into the wall of the pipe, i.e., the wall is a kind of wick for the working fluid.* In a heat pipe, each atom (or molecule) which moves from the hot end to the cold end carries with it a very large amount of heat, equal to the evaporation energy of the liquid--this explains the enormous heat fluxes in heat pipes. The operation of heat pipes is independent of gravity, and consequently, they can be used in space nuclear power stations.

________________

*The capillaries can even be grooves cut into the wall of the pipe.

Fig. 11.13

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Water is a good working fluid for low-temperature heat pipes.

Two temperature ranges are of interest for TICs: 1400-2000° C to supply energy to the cathode and 500-900° C to dissipate heat from the anode. The development of heat pipes for anode temperatures is essentially completed [28]. Sodium is usually employed as the working fluid, and the walls can be made of stainless steel, nickel, or Nb-Zr alloy. There are reports of these pipes being tested for a period of 16,000 hours at 600° C [28]. A suitable working fluid for high-temperature pipes is Li, and for the highest temperatures is Ag. There are reports [28, 29] of a successful operation of heat pipes using lithium with walls of tantalum (including an yttrium additive to bind the hydrogen) for a period of 1000 hours at 1600° C, and one using silver with walls of tungsten at 1900° C.

Calculations [30] show that up to 5 kW can be transported at 800° C (with Na) and up to 500 kW can be transported at 1600° C (with Li) through a heat pipe 2 cm2 in diameter and 1 m long. Heat flux densities along the pipe, up to 15 kW/cm at 1500° C, have already been achieved experimentally with lithium [29]. The heat flux densities supplied to the pipe in the radial direction reach 400 W/cm2, which is already quite adequate to dissipate heat from a fuel element [7].

Thus, high-temperature heat pipes provide the possibility of locating the thermionic converters outside the core rather than directly in the fuel element. This permits the use of small gaps between the TIC electrodes, especially important for long operating periods. Such small gaps are difficult with in-core thermionic converters, because of the fuel swelling caused by the accumulation of fission fragments and lattice defects. Under the less severe conditions of the out-of-core version, electric insulation is improved, being outside the core. The problems of the release of fission products into the TIC gap also disappear. Therefore, some complication of the system--the introduction of yet another heat transfer system--is quite acceptable in order to achieve the anticipated increase of reliability and operating life.

A thermionic reactor with heat pipes is being investigated at the Euratom Laboratory in Ispra, Italy for an output of 50 kW and 100 kW [31]. The core is a parallelepiped; heat pipes emerge through all the lateral sides. Each pipe operates its own diode converter. This unusual design was selected so that the load would be uniformly distributed among a large number of adjacent heat pipes in case of breakdown of any one heat pipe. To avoid high-temperature electrical insulation, the energy to the pipes operating at 1600° C is supplied by radiation from fuel elements having a temperature of 1900-2000° C. Heat transfer from the anode to the radiator is also accomplished by heat pipes.

An American design is described in [7], in which the cathode heat pipes exchange heat with the reactor pipes through a layer of high-temperature electric insulation (BeO) located behind the shielding. The converter is designed for a cathode temperature of 1800° K and an output electrical power of 100 kW at a voltage of 400 V. Versions were considered at the same time in which power varied from 10 kW to 10 MW, while cathode temperatures varied from 1400 to 2000° K. The weights obtained (in kg per 1 kW of electric power) are presented in Fig. 11.14 for two versions of shielding

439

Fig. 11.14

5. Materials for a Reactor TIC.

Consider briefly the requirements placed on materials for reactor TICs. The materials can be divided into three groups: electrode, insulation, and structural. Besides the ordinary requirements placed on materials operating at high temperatures, there are requirements due to the high neutron and g -fluxes, as well as the chemical reactivity of cesium vapor with the materials in the converter. It is desirable, and in some cases absolutely necessary, to use materials with a minimum neutron capture cross section.

Electrode materials. The greatest difficulties are in the selection of the cathode material, which must provide high conversion efficiency and extended operating life.

An intriguing possibility is the use of the reactor fuel itself as the cathode material. Thus, numerous early experiments were carried out to study the emission characteristics of fuel material in Cs vapor [3]. Satisfactory results were achieved for UC with a ZrC additive. However, even in this case, the rate of evaporation was too high and the mechanical strength was insufficient. The rate of evaporation of uranium carbide (Tm.p. = 2400° C) at T = 2200° K is 5x10-8 g/(cm2.sec) [33], whereas the rate of evaporation of tungsten at this same temperature is almost five orders of magnitude lower. It is obvious that a converter with a suitable operation life cannot use cathodes for which the rate of evaporation exceeds 10-9 - 10-10 g/(cm2.sec). Moreover, fuel structures become extremely brittle from operating at high temperatures--which sharply reduces reliability.

At the present time the main thrust of cathode development is with clad cathodes, i.e., the fuel is placed inside a cylindrical tube whose surface is the thermionic cathode. The highest thermionic emission is achieved with cesiated monocrystals, but oriented polycrystals of tungsten and rhenium (with a vacuum work function of approximately 5 eV) are also efficient cathodes [34]. The latter are prepared by decomposition at the cathode surface of volatile compounds

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(e.g. WCl6 or WF6) or by electroplating. Various types of refractory alloys, in particular the W + Mo system and rhenium alloys, are also being considered as cathode materials [33, 35].

Important specifications for the cathode fuel cladding are also the corrosion resistance of the material, fuel comparability, chemical stability in the presence of cesium vapor and fission products, stability against structural changes, high electrical conductivity in combination with good thermal conductivity, imperviousness to fission fragments, etc. When TICs are combined with heat pipes or isotopic sources, some requirements on the cathode material are relaxed, which makes it possible to use a wider range of materials.

It is also necessary to provide sufficient purity in the materials used; impurities have in many cases been the cause of reduction in power output during extended tests. This degradation can be caused by the migration of impurities to the surface with a consequent change in the work function, and also by accumulation of impurities at the grain boundaries. The latter causes microcracks, which break the fuel and fission fragment containment and increase the thermal and electrical resistance [36].

The cathode and other high temperature parts should be carefully degassed, because dissolved gases can not only alter the electrode work function, but, in the gap, can also participate in transport reactions like the well-known water cycle (see §11, Chapter 2). Transfer of cathode material to the anode by transport reactions can be the cause of gradual degradation and even short-circuiting of the converter.

There are also difficulties in the selection of the anode material. From the viewpoint of conversion efficiency, the anode work function should be as low as possible and stable. Rather low work functions have been achieved in the laboratory. For example, a work function of 1.1 eV has been obtained with ZrC at low temperatures (TA » 450° C). However, during the operation of a TIC, the anode surface is covered with evaporated cathode material. Therefore, it is difficult to achieve a work function below 1.5-1.6 eV with extended operation.

The anode material should also have high electrical and thermal conductivity. An anode with high thermal reflectivity (low thermal emissivity) is required to reduce radiation losses.

Molybdenum, nickel, or niobium are chosen in most designs as the anode material. From the viewpoint of work function, Mo is preferred; under TIC conditions, it has a work function 0.2-0.15 eV less than the others. Nickel is easier to machine and joins better to other materials. From extensive testing with 135 laboratory devices [11], one recommendation is that a rhenium anode, which acquires a work function of 1.47 eV, be used in combination with a rhenium emitter.

Insulation and structural materials. The insulation materials used in reactor TICs should provide reliable electric insulation between electrodes and also between the anode and the cooling system. These materials should have high mechanical strength and have good radiation and corrosion resistance at high temperatures in cesium vapor. The interelectrode insulation should also be vacuum tight and should combine well in a metal—ceramic seal. Under TIC conditions, Nb-A1203 junctions perform well, i.e., if these materials are carefully cleaned of impurities [36, 37].

At the present time, the development of electrical insulating

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materials is proceeding in two main directions: the development of insulation coatings and the manufacture of parts for electrical insulation [38], A12O3 and BeO being used in the initial components. Numerous investigations have shown that these ceramics are rather stable under thermionic reactor conditions, at least up to 1100-1200° K. Cermet systems based on BeO and A12O3 with additives of refractory metals (for example, Mo and Nb) are very promising. They retain the good insulation properties of their ceramic base and at the same time have new important qualities: better plasticity and thermal conductivity. By varying the percentage content of the metal additive, thermally matched cermet compounds can be developed. Also, multilayer insulators are being investigated.

In-core tests [39, 40] have shown that swelling of the insulating materials is caused by the flux of fast neutrons which have an energy greater than 0.1 MeV. Fast neutrons knock the atom out of crystal lattice positions, and the resulting mechanical stresses lead to microcracks along the grain boundaries. Special experiments have shown that ceramics with minimum grain dimensions and minimum impurity content (especially silicon) swell less and retain their vacuum density better. Such parts manufactured from A1203 with grain dimensions about 3-5 m m tolerate fast neutron fluxes (En > 0.1 MeV) up to 6x1021 neutrons/cm2 at T » 1000° C. In this case, volume swelling does not exceed 3%, the modulus of elasticity decreased by only 30%, and the vacuum density, good thermal conductivity and high insulating properties are retained. Even some increase of resistance during irradiation was observed with BeO [41].

However, swelling even by 3% is not always permissible because it can lead to large mechanical stresses and deformations. For this reason, insulators based on yttrium oxide [39] are preferred because they do not undergo appreciable swelling in fast neutron fluxes up to 5x1021 neutrons/cm2. However, it should be noted that Y2O3 has poorer insulating properties, lower thermal conductivity, and less mechanical strength compared to A12O3. Yttrium oxide has a linear expansion coefficient close to that of niobium, which permits good vacuum tight and thermally matched Y2O3-Nb junctions.

The most acceptable structural materials for a neutron-environment are Nb, Mo, and stainless steel [33]. The use of Ta is undesirable because of its tendency to enter into numerous chemical reactions [36].

Materials also change their structure and mechanical properties under the effects of neutron radiation. Monocrystals of molybdenum and tungsten, irradiated in a BR-5 reactor with an integrated flux of 1.4x1022 (including 1.4x1021 fast neutrons with En > 1 MeV), were described in [42]. Calculation of the nuclear reactions showed that 0.2% Re is accumulated under these conditions in tungsten and 0.1% Nb and Zr is accumulated in molybdenum. Also, other significant changes in structure occur: single vacancies gather in a cluster and the crystal becomes divided into individual grains. On the boundaries between these grains gather dislocations and impurities. High-temperature annealing restores the initial mechanical and electric properties, but not completely.

6. Reactor Tests of TICs

One of the stages in the development of a thermionic reactor is the

442

transition from laboratory devices with electric heating* to TIC investigations under reactor conditions (in-core tests). The individual components, diodes, and TFEs must be tested in the core under operating (or even more severe) conditions for a very prolonged period to insure reliable operation of the thermionic reactor.

Under thermionic reactor conditions, the cathode, anode, and structural parts cannot be degassed as carefully as under laboratory conditions. If hydrides are used as the moderator, then inevitably there will be some liberation of oxygen, which together with the residual oxygen, can lead to transport reactions and mass transfer to a much greater extent than that for simple evaporation.

With reactor tests, special attention should be devoted to the fuel elements, whose external surface is the TIC cathode. It is very important to check the chemical compatibility of the fuel composition and also of the fuel and cladding material. And there are many questions specific to the TIC that must be addressed: What is the effect of recrystallization of the cladding surface on the cathode work function? What is the effect of the liberated gases and fission fragments on the power output of the diodes and on the heat transfer across the inter-electrode space? What is the variation of the cathode work function because of elements which diffuse through the fuel cladding? How does the interelectrode distance vary because of swelling of the fuel element? How stable is the electrical insulation?

Let us consider some of these problems. The fuel in [45] was sintered uranium dioxide UO2 or sintered uranium carbide with zirconium carbide (90% UC + 10% ZrC).@ The uranium was enriched to 93% U235. The fuel was placed in a tungsten, vapor deposited (WF6) cladding 1 mm thick. The anode was molybdenum. The geometric dimensions are - cathode diameter 1.64 cm, cathode area 13 cm2, and interelectrode spacing 0.2 mm. The volume for fission product retention was 20 cm3. Heaters were provided in the system to vary the temperature of the cesium reservoir and the anode; thermocouples were provided to control the temperature at different points; and also potentiometric leads were attached to give the current-voltage characteristics. The maximum temperature inside the fuel element was not measured, but was estimated to be about 2200° C. At the surface, the temperature was 1650 - 1800° C.

The above tests showed that converters with U02 have a number of advantages over those with UC. The converter parameters with U02 fuel at TC = 1730° C hardly varied over a period of 5000 hours; there was more of a tendency toward electrical power increase than toward a decrease. The authors [45] link this increase of efficiency to the diffusion of oxygen through the tungsten fuel cladding, which leads to a favorable change in the cathode and anode work functions. A similar phenomenon was observed in [46], where the output parameters were strongly dependent on anode temperature. The latter result was possibly related to the formation of cesium oxide on the anode.

_____________

*According to the data of [43, 44], a plasma diode with rhenium electrodes operated stably under laboratory conditions for a period of 20,700 hours at a cathode temperature of 2000° K with an output of P = 25.6 W/cm2 and VL = 0.77 V.

@ZrC was added to increase the fuel melting point.

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Fig. 11.15

Although the results with UO2 are promising, one must bear in mind that uranium dioxide has one great disadvantage over uranium carbide--its rather low thermal conductivity. Thus, there are large temperature drops inside the UO2 fuel elements [47]. In a number of cases, cathodes with U02 have deformed more severely than those with UC [48].

With UC fuel, the initial electric power over a period of 2,500 hours decreased by approximately 20%, but efficiency decreased even more, which indicates an increase of thermal losses in the converter. The decrease of electrical power in [45, 48] is explained by the diffusion of uranium through the fuel element cladding which leads to a decrease of the vacuum work function of the cathode and of total efficiency. The opinion was advanced that the diffusion of uranium was enhanced by the lack of carbon compared to a stoichiometric composition. Therefore, the ratio of carbon to uranium concentration (C/U) was increased to 1.03-1.05. This, however led to an increase of carbon diffusion through the emitter cladding [48]. Measures were subsequently taken to reduce the effects of carbon diffusion through the emitter (a special structure of the tungsten cladding) and also increase the solubility of carbon in the collector material. Thus, stable results were achieved with a ratio of C/U = 1.01.

Containment in the TIC of inert gases and other elements produced in the fuel element during the fission of uranium has been studied in many investigations [49-51]. The main attention has been devoted to the yield of inert gases. The dependence of the effective diffusion coefficient of Kr and Xe on the temperature for a U02-Mo cermet is presented in [49]. The diffusion theory for inert gas containment in the fuel predicts a very strong dependence of yield on the temperature and operating time of the fuel element, which has been well confirmed by experiment. However, the anticipated dependence on the U02 particle size has not been observed: degassing of particles 125 m m in diameter hardly differs from 22 m m in diameter.

Metallographic and electron-micrograph investigations have shown that the liberated gas apparently spreads rapidly along the boundaries of the crystalline particles and may even lead to a separation at the crystal boundary. Thus, the rate of yield is determined by the dimensions of the crystalline grains from which the particles are formed, rather than by the size of U02 particles. According

444

Fig. 11.16

to observations [49], molybdenum coating of UO2 particles does not affect the escape rate of inert gases from the fuel. The application of a molybdenum shell around the individual U02 particles (grains) also does not help, because the shells undergo considerable structural change and lose their gas tightness after 1000 hours of operation in the reactor at T = 2000° K [50].

As already noted, release of gases inside gas tight fuel elements may lead to swelling of the cladding and, in the final analysis, to short-circuiting of the cathode to the anode. Thus, an initial gap of 0.175 mm in [52] was short-circuited after 3596 hours (TC = 1600° C) at a calculated pressure inside the fuel element of approximately 6 atm. A similar fuel element design in which the gases could escape into the cesium container operated normally, except that the heat dissipation from the emitter increased somewhat with time (approximately 10%) because of heat transfer through the gases.

Numerous reactor tests carried out during the past few years have confirmed that diodes with cathodes of Mo (coated with W) and with anodes of Mo may operate stably in the core for an extended period [53-55].

Besides tests of individual units and assemblies, it is necessary to conduct bench tests of full-scale installations to check the operation life of the entire converter-reactor system.

The world’s first complete thermionic reactor--the Topaz I installation--was tested in the USSR in 1970 [56, 57]. A structural diagram of Topaz-I is shown in Fig. 11.15.

High uniformity of energy liberation along the radius (the variation factor did not exceed 1.05) was achieved by design measures and by shaping the fuel and moderator (zirconium hydride). Rotary beryllium cylinders, with absorption linings of boron carbide, arranged on a radial reflector were used to regulate the reactor. The use of these cylinders made it possible to eliminate distortion of the neutron field during the

445

regulation of the reactor.

The TFEs were combined electrically into two sections: a main and an auxiliary section. The main section consisted of series-parallel TFEs. The TFEs were connected in parallel in the auxiliary section, i.e., the section in the center of the reactor which is least subject to the effect of the control members. The TFEs were interconnected in a special chamber with measures taken to prevent possible breakdown in the cesium vapor.

The current-voltage characteristics of the entire thermionic reactor are shown in Fig. 11.16 a and b; they are naturally dependent on the thermal output of the reactor. The electric power generated varied in the main section from 3.6 to 7.2 kW and in the auxiliary section from 1.2 to 2.7 kW.

Topaz-I successfully completed its assigned operating life--l000 hours. A Topaz-II model has had a total operating life of approximately 6000 hours [57].

7. TICs With Isotopic Heat Sources

At the present time, a rather large number of electric energy sources have been designed and developed which use the heat of radioactive

Fig. 11.6 Most Promising Isotopes for Isotope Heat Source

CHECK, PLEASE!

Ce144

Tm170

Po210

Th228

Half-life, yr.

0.78

0.35

0.38

1.9

Power density, W/cm3

15.0

16.5

21.1

12.7

Type of main nuclear radiation

b ,g

b

a

a ,g

Approximate cost in 1975 (dollars per gram of isotope)

23

156

26500

6600

Disadvantages

Short lifetime, strong shielding required

Short lifetime, strong shielding required, cannot be manufactured in pure form

Short lifetime

Helium removal and strong shielding required

Pu238

Cm242

Cm244

Ac227

Half-life, yr.

89

0.45

18

21.7

Power density W/cm3

3.9

1150

27.0

182.0

Type of main nuclear radiation

a ,n,g

a ,n,g

a ,n,g

a ,n,g

Approximate cost in 1975(dollars per gram of isotope)

500

2000

1000

Disadvantages

Short lifetime, intensive neutron generation

Intensive neutron generation

Difficult to obtain, strong shielding required

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isotopes (obtained in ever increasing quantity from nuclear reactors). Semiconductor thermoelectric generators and TICs are being used with these sources to convert heat to electrical energy. Isotope heat sources are limited primarily to installations of low and medium power, mainly because of the high cost of the isotopes.

Selection of a specific isotope as a heat source is dependent on a number of factors: the specific power generated by the isotope (watts per unit weight), the half-life, cost, etc. With all characteristics being equal, preference is given to isotopes which have only a - and b -activity, because better radiation shielding can be provided in this case and the assembly of the generator is easier [65]. When using a -active isotopes, removal of the liberated helium is required. Some data of the most promising isotopes, according to [58, 59], are presented in Table 11.6.

Consider now as an example the isotope generator with an output of several tens of watts (Fig. 11.17) developed by Belgian and West German companies [60]. The heat source is actinium, which changes to lead after a number of radioactive decays. The radioactive material is placed in an airtight fuel capsule of W-Re alloy, which has good thermal contact with the TIC emitter at one side of the capsule. The other sides have thermal insulation consisting of layers of metal foil separated by vacuum spaces [61]. The heat travels from the anode to the radiator which is connected to the anode by a heat pipe. The fuel is Ac2O3 particles, 500 m m in size, covered by a layer of 25 m m thick ThO2 and enclosed in a tungsten matrix. This dispersion system; 1) easily passes helium (with conversion of one atom of Ac to Pb, 5 atoms of He are produced), which then emerges to the outside through the walls and does not interfere with the operation of the TIC; 2) combines with the oxygen obtained from the Ac2O3 during the decay of Ac; 3) does not swell and 4) at the same time, provides sufficiently high heat conduction (» 22% of the heat conduction of metallic tungsten) that there are no large temperature drops in the fuel. The thermal

447

power density in the matrix is 45 W/cm3 compared to 182 W/cm3 in pure Ac.

Fig. 11.17

Polycrystalline oriented [110] tungsten, rhenium, or a W-Re alloy can be used for the cathode. The interelectrode spacing has been optimized in the design. The optimum for polycrystalline tungsten is d = 0.08 mm. It is larger for electrodes with higher vacuum work functions, which of course is desirable from the viewpoint of device reliability. The anode is made of molybdenum and has a minimum work function of approximately 1.48 eV at TA = 405° C. All the materials used for the generator were checked for chemical compatibility, and gas tightness was tested over a period of 5000 hours at a cesium pressure of 20 torr.

The total thermal power of the device is 250 W. Heat losses were 95 W (through the thermal insulation, 13 W; from the non-operating part of the emitter, 17 W; and from the electron cooling of the cathode, 65 W). The output characteristics of the diode at TC = 1527, 1577, and 1627° C are shown in Fig. 11.18. The output electric power for 1527° C is equal to 23 W with a converter efficiency of approximately 15% and total efficiency on the order of 9% (considering all heat losses).

Fig. 11.18

The American SNAP—13 generator [62], which yields P = 12.5 W with h = 7% at TC = 1375° C and P = 20 W with P = 8.6% at TC = 1404° C, has similar parameters. The SNAP—13 generator tolerated all dynamic loads and was tested over a period of 13,000 hours during electric heating.

In 1966, investigation began in the United States of a standard isotope module with an electrical power of 100 W. Connecting such modules together, electrical power units up to 2 kW of electric power can be obtained. The module is designed to operate for one year (with Cm244) or 90 days (with Po210). Compared to a thermoelectric generator giving similar power, TICs would have a number of significant advantages [61] for such a module:

1. The high efficiency (» 12%) makes it possible to reduce the fuel charge approximately 3 times.

2. The high temperature of the radiator (» 500° C) makes it possible to reduce the radiator size and to make the system insensitive to temperature fluctuations of the surrounding medium.

3. The low weight: the TIC is 7-8 W/lb., while the TEG is approximately 1.5 W/lb.

448

4. Smaller overall dimensions: a 100-W generator with a TIC has a diameter of 10 cm and length of 26.0 cm; whereas the thermoelectric SNAP—27 with a rating of 56 W has a diameter of 40 cm and a length of 46 cm.

Large isotope TICs to supply 2 to 10 kW of electrical power for electric propulsion engines and on-board equipment of unmanned spacecraft to distant planets--Saturn, Uranus and Neptune--have also been studied recently [63].

The main elements of a 5-kW generator (52 kW thermal) assembled prior to launch are shown in Fig. ll.19a. The shielding (LiH) and the flow-through water cooling system are also shown. The isotope capsule consists of pipes with curium oxide (Cm2244O3), between which the cathode and auxiliary heat pipes pass (for heat dissipation to the water container at launch). There are a heat shield, parachutes and a shock absorber, as well as a large special radiator for heat dissipation, to prevent dispersion of the isotope into the atmosphere in case of emergency reentry.

After injection into a free hyperbolic trajectory, the shielding system is separated and the generator is shifted a distance of 6 m to reduce radiation to the instrument compartment. The temperature increases and the TIC begins to operate. Heat is removed from the converter diode by the anode heat pipes, which form a radiator for heat rejection by radiation. The cathode temperature is 1900° K, anode temperature is 1000° K, and the interelectrode distance is 0.2 mm.

The low launch weight of the electric power plant, 142 kg (the weight of the separated shielding is 304 kg), and the long operation life, 72,000 hours, are noteworthy. The fuel load is 1.5 megacuries.

Besides isotope TICs, which operate in the ordinary arc mode, converters are being designed with a very small interelectrode distance which operate without compensation of electron space charge. Cesium vapor is introduced only to optimize the electrode work functions. The main advantage of these TICs is the possibility of operating at lower temperatures (1400° K or lower), which increases the reliability of the entire system, despite the decrease of the inter-electrode gap.

As an example, we cite some characteristics of the Isomite converter [64]. A sectional view of one of these converter meddles is shown in Fig. 11.20. The electric

Fig. 11.19

Fig. 11.20

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power of the module may vary from 100 m W to several W, depending on the geometric dimensions. The Cs pressure in the gap is determined by the anode temperature, but electron scattering from Cs atoms can be disregarded because of the small gap (0.025 mm) and calculations can be carried out by formulas for the vacuum mode (see Chapter 2).

Special cathodes and anodes based on iridium, as well as oxidized tantalum and tungsten, are being developed for diode converters. At cathode operating temperatures, the work function is within the range 1.7-2.3 eV, and at anode temperatures, the collector work function is 1.34-1.54 eV. The Ta-C-Cs system was tested successfully over an extended period; it is suggested that the surface oxygen losses from the electrodes are completely compensated for by diffusion from the bulk tantalum. It is suggested that curium cermet with a heat release density of 19.1 W/cm3 or plutonium with a heat release of 3.5 W/cm3 be used as the fuel in the Isomite.

The individual elements are series-parallel connected to increase reliability. Thus, a total power of 50-200 W and the required voltage to convert direct current to alternating current are achieved. The design operation life of the TIC is 5-10 years.

The authors [64] feel that, based on existing technology, the Isomite can be developed for a series of space power sources with an efficiency of 7% and a specific power of 10 W/kg, with prospects for an increase of efficiency to 10% and of specific power to 50 W/kg.

8. The Use of the TIC in Central Power Plant Engineering

It is important to increase the efficiency of central station electric power plants to conserve fuel and to reduce thermal waste. To raise efficiency, it is necessary to use a heat engine operating in the temperature range above the steam-turbine cycle (i.e., above 550-600° C).

Compared to MHD (see §1, Chapter 1), a TIC has a thermodynamic cycle closer to ideal and has a better temperature match with the steam turbine. However, it is necessary to have a larger total electrode surface for the TIC, and consequently, it is necessary to appropriately combine very many diode converters. TICs may also be used in nuclear power plants by increasing the coolant temperature, and can be used with fossil fuels, given the development of coatings resistant to combustion products [66]. The calculated technical and economic promise of electric power plants using thermionic converters is very intriguing [67].

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