Patent Application
20200402677
Embodiments of the present invention relate generally to plasma physics and, more particularly, to fusion reactors.
Small, safe, and clean power plants located in cities could provide power locally without transmission losses and with less susceptibility to rolling blackouts, extremes of nature, catastrophes, or acts of aggression. Alternatives, such as local solar and wind power, cannot provide the areal density needed for cities. The local power plants would utilize nuclear fusion in hot plasmas. For decades, international government consortia have been collaborating to develop multi-GWe power plants based on tokamak devices burning deuterium tritium (D-T) fuel. However, recent theoretical and experimental advances point to the field-reversed configuration (FRC) plasma device as a promising way to make smaller reactors with far less radioactivity.
FRC plasma devices possess very attractive technical features, such as high plasma pressure, simple geometry, and natural exhaust channels (divertors), which favor their development into practical and clean fusion power plants. However, experiments on current FRCs have only produced plasma pressures, energy confinement times, and pulse lengths orders-of-magnitude smaller than needed in power-producing reactors.
Several research paths towards FRC reactors have been described within the US fusion community. These paths strongly differ in technical and scientific methods, required funding levels, and describe reactors of widely varying output, from 100 kW to 5 GW.
The first approach involves using p-11B as fuel in a steady-state FRC reactor heated by neutral beams. The major benefit is that this fuel creates the lowest power in neutron emissions of all fusion reactions. However, this approach has several drawbacks. The power produced by each p-11B fusion event is half that by the other (D-T or D-3He) fuel mixtures. Compounding this problem is the higher plasma temperature required for p-11B fusion; hence, a higher magnetic field is needed. Additionally p-11B only allows a lower density of fuel compared to D-T or D-3He at fixed electron density because of the high charge on the 11B nucleus. Achieving net power production with p-11B is highly questionable. Moreover, this reactor would be large, producing over 500 MW of power, which is above the value considered suitable for a distributed power grid, typically 1-100 MW per reactor.
The second FRC approach proposed large (multi-GWe) D-T burning, beam-heated FRCs. However, the drawbacks are similar to tokamaks including high radiation (neutron) levels, which lead to major safety and siting issues; high maintenance because of neutron damage and activation; complex tritium breeding required; and large costly power plants.
The third approach is pulsed, compressed, low-duty-factor FRCs in which the fusion takes place in pulses less than 1 ms in duration at rates up to 100's of pulses per second. Accordingly, the pulses of power are explosive in nature, placing great stresses on the mechanical structure. Several methods have been proposed for producing the compression and accompanying heating. A hydraulic compression of D-T FRC plasmas within a 1-m-thick, nearly spherical, rotating, molten Li bath has been described. However, that amount of Li is dangerous and it has not been determined how to achieve 10's of pulses per second. Furthermore, D-T has the usual problems of high radioactivity and material damage. Several other methods of compressive heating have also been described including fast merging of counter propagating FRCs; compression of a fast moving FRC as it travels through a tapered conducting tube; and imploding liners. While previous work focused on D-T burning, D-3He burning is also being considered to reduce neutron production. However, there is no description for how to remove the T fusion product from the burning plasma when burning D-3He for keeping the reactor truly clean, nor is there a method to gain a sufficient supply of 3He needed for significant power production.
Conventional (tokamak) fusion reactor designs include robust divertor plates whose function is to intercept warm plasma leaving the core, to prevent damage to more susceptible inner wall components. In a standard divertor scheme, the exterior region of a confined plasma, referred to as a scrape-off layer (SOL), impinges on the divertor's collector plate, depositing some of the plasma's energy in the process. For example, in a system such as the International Thermonuclear Experimental Reactor (ITER), these power loads may transiently rise from steady-state values near 10 MW/m2 to above 100 MW/m2. Ion fluxes would exceed 1024/m2 s. Such high heat and particle fluxes to the collector plate lead to melting, erosion, sputtering, and cyclic heat load problems, not only damaging the divertor structure, but also leading to the undesirable introduction of highly detrimental impurities, such as tungsten, into the plasma.
Furthermore, in conventional D-T reactor designs, fusion ash, i.e., alpha particles generated in the core plasma by fusion, diffuses across the reactor into the SOL where it may be exhausted into divertor channels. This diffusive transport is slow, on the order of many seconds, which leads to the ash displacing fusion fuel in the core. This reduces fusion power output. Even worse for D-3He reactors, if the T fusion ash were to remain in the plasma for seconds, neutron production would grow, causing the fusion reactors to be more dangerous. Methods to accelerate the exhaust of fusion ash have been proposed, including alpha channeling, but this is a complicated, untested process that requires additional sophisticated high power RF equipment. Moreover, alpha channeling is a wave method that may not work in a relatively small plasma, particularly one with strong gradients in its magnetic field and plasma parameters, as are in FRCs.
Thus, there is a need for a fusion reactor configuration that addresses these and other shortcomings of the current system.
According to some embodiments, a system for widening and densifying a scrape-off layer (SOL) in a field reversed configuration (FRC) fusion reactor is disclosed. The system includes a gas box at one end of the reactor including a gas inlet system and walls of suitable heat bearing materials. The system further includes an exit orifice adjoining the gas box, wherein the exit orifice has a controllable radius and length to allow plasma to flow out from the gas box to populate the SOL with the plasma. The system may also include fusion products, which decrease in speed in the plasma in the SOL, allowing energy to be extracted and converted into thrust or electrical power and further allowing ash to be extracted to reduce neutron emissions and maintain high, steady-state fusion power.
According to some embodiments, a method for widening and densifying the SOL in a FRC fusion reactor is disclosed. The method includes creating a plasma in a gas box at one end of the reactor, wherein the plasma created in the gas box is cooler than both core plasma in a closed field region of the reactor and SOL plasma near a midplane of the reactor; causing the plasma from the gas box to flow out of the gas box through an exit orifice of controllable radius and length; and populating the SOL with the plasma that has flowed out of the gas box. The method may also include decreasing speed of fusion products in the plasma in the SOL; extracting energy from the fusion products; and converting the energy into thrust or electrical power.
According to some embodiments, a fusion reactor system is disclosed. The system includes a first FRC fusion reactor, which burns D-D fuel to breed 3He and T and a second FRC fusion reactor, which burns D-3He fuel. The bred 3He is supplied to the first FRC fusion reactor and second FRC fusion reactor, and the bred T is transmuted to 3He to be supplied to the second FRC fusion reactor.
According to some embodiments, a method for increasing 3He supply for use in FRC fusion reactors is disclosed. The method includes burning D-D fuel in a first FRC reactor, whereby burning D-D fuel breeds 3He and T; producing power in the first FRC reactor with the initially bred 3He; storing T bred in the first FRC reactor to transmute T to 3He; and providing the 3He transmuted from T to the second FRC.
Various other features and advantages will be made apparent from the following detailed description and the drawings.
In order for the advantages of the invention to be readily understood, a more particular description of the invention briefly described above will be rendered by reference to specific embodiments that are illustrated in the appended drawings. Understanding that these drawings depict only exemplary embodiments of the invention and are not, therefore, to be considered to be limiting its scope, the invention will be described and explained with additional specificity and detail through the use of the accompanying drawings, in which:
Disclosed herein is a FRC plasma device designed to reduce technical and financial risks. An object of the present invention is to make practical, safe, small reactors suitable for a distributed power grid and in population centers. Radioactivity is kept at negligible levels, accomplished in part by the choice of fuel. Embodiments of the present invention produce either hydrogen (H) plasmas, D-3He, or D-D plasmas or combinations of these. Even under the most extreme conditions, H barely fuses, leading to virtually no radioactivity, but no fusion power. The fusion of D-3He can be controlled to produce less than 1/1000th the neutron wall load, measured in MW/m2, of a fission reactor or D-T tokamak reactor per unit of power, as described below. However, the main drawback with D-3He is the scarcity of 3He. Nonetheless, embodiments of the present invention, which discloses the use of a pair of small FRC reactors, one to provide 3He fuel for the second, may apply the system and methods used in D-3He fusion to the more abundant D-D in such a way as to reduce its neutron wall load of one FRC reactor below 5% that of a fission reactor and of the second below 0.1%.
The safety of such small power plants would be high. Nuclear runaway would be passively avoided. No actinides are used or produced. Chemical reactions of all the fuel on site would release no more energy than one pint of gasoline. The magnetic energy in the reactor is comparable to that in MRI systems used in hospitals. By operating several of the proposed reactor modules, applications that require higher power levels, such as spacecraft propulsion, may be accomplished. Embodiments of the present invention may be about 1/1000 the volume and mass of conventional fusion reactors, namely the tokamak, and would produce proportionally less power (5 MW rather than 5 GW). Being a clean reactor avoids the costly and lengthy development of radiation-resistant materials and eases siting requirements. Small FRC reactors have been described in U.S. Patent Publications 2015/0098543 and 2015/0294742, which are herein incorporated by reference.
The fusion reactor 100 includes a closed field region 106 that contains the hot fusing core plasma 104, whose ion temperature is in the range 70-150 keV. Core electrons are somewhat cooler, ˜20-40 keV. The radial dimension of the closed field region 106 may be about 25 cm. Larger radii are possible, but too large a radius interferes with the radio-frequency heating method of the reactor 100, rapid T exhaust, and plasma stability. Moreover, smaller radii are possible as well, but too small a radius does not allow adequate energy confinement time. Because of these and other constraints, the radius of the core plasma 104 in the reactor 100 will be in the range 15 to 35 cm. The length of the core plasma 104 may be about 5 times the diameter of the FRC reactor 100, though longer FRCs may be made to allow commensurably more power. Surrounding the closed field region 106 is an open field line region 108 that contains a cooler scrape off layer (SOL) 110. The radial thickness of the open-field-line region 108 at the midplane of the FRC reactor 100 may be between 0.5 and 5 cm in order to match the power extraction rate needed in the SOL 110. The approximate range of electron and ion temperatures in the SOL 110 may lie between 10 and 200 eV, as illustrated in the graphs shown in
The boundary between the closed and open field-line regions 106 and 108 is a closed surface called the separatrix 112. Fusion products must cross the separatrix 112 to deposit their energy in the SOL 110 and remain fully in the SOL 110 to be exhausted out in an exhaust plume 114. Neutron shielding 116 surrounds the open field region 108, where the thickness of the neutron shielding 116 depends on the fuel mixture used. (D-D requires thicker neutron shielding 116 than D-3He, and D-T requires thicker shielding than D-D.) The neutron shielding 116 material may be 10BC, chosen for its high electrical resistivity, high-temperature thermo-mechanical properties, and strong neutron-absorption characteristics.
Referring now to
The exit orifice (or nozzle) 122 adjoining the gas box 118 of the fusion reactor 100 is of adjustable length and radius. The exit orifice 122 controls the width of the SOL plasma 110 and also reduces the flow of unionized gas out of the gas box 118. The adjustable radius, in conjunction with the gas feed rate and plasma creation processes in the gas box 118, predominantly sets the density width of the SOL 110. In one embodiment, the orifice 122 may have a radius of about 7 cm, though the radius may range from 3 to 15 cm in other embodiments. The orifice 122 radius was chosen so that the magnetic flux of the SOL 110 would be the same at the FRC midplane as in the nozzle 122. Hence a higher nozzle 122 magnetic field would necessitate a smaller orifice 122 radius. A higher nozzle 122 field would increase the mirror ratio, a useful way to control the axial loss of fast particles, e.g., ash, 102 from the SOL 110. The energy deposited by fusion products 102 in the SOL then sets the broad radial profile of the field-parallel power flow in the SOL 110.
Referring back to
Referring again to
While not shown, additionally included in the fusion reactor 100 are a power supply to provide current to magnets and RF power system for the RMF antennae 124, components to extract heat from the reactor and convert it into electricity, and components to separate H, D, T, 4He, and 3He in the exhaust plume 114. One method to extract energy from plasma flow is to use an MHD-generator technique, which would entail additional magnets and electrodes in the exhaust stream and/or divertor chamber 134. The exhaust stream plasma 134 is predominantly deuterium, often more than 99.9%. However it will contain important amounts of tritium, hydrogen, helium-3 and helium-4. To separate 3He and T, components should be inserted into or attached to the exhaust plume 114 and/or the gas box 118 to perform the important role of separating the stream into its separate constituent isotopes. Methods of isotope separation include superpermeation, gaseous diffusion, and thermal and chemical means.
The main scientific hurdles for small and clean FRC reactors 100 are plasma energy confinement, stability, ion and electron heating, current drive, neutron production, and fuel supply. A technique to address these challenges is disclosed herein, referred to as odd-parity rotating magnetic fields (RMF). This is a single (or possibly chirped or FM) radiofrequency system utilized with the RMF antennae 124 that will heat a plasma's ions and electrons to fusion-relevant energies, efficiently drive large plasma currents, and stabilize the plasma, all while maintaining good energy confinement. Another major advantage of RMF is the FRC size would be small, promoting more rapid and less costly tests and consistent with rapid T removal. Multiple FRC modules may provide higher power levels when needed.
The primary benefits of odd-parity RMF-driven FRC reactors 100 arise from the RMF's unique rotating azimuthal electric field which peaks in the FRC's midplane, the location of a magnetic field null line. Near the null, the rotating electric field will cause unimpeded ion and electron acceleration in opposite azimuthal directions, thus generating the desired current. Phase de-coherence of charged particle trajectories from the periodic RMF occurs when the particles stray from the null line and will, under certain conditions, result in rapid and efficient electron and ion heating. In addition to the stabilization natural to small kinetic (not fluid-like) FRC reactors 100, RMF-generated oscillations of the FRC's boundary separatrix 112 may help stabilize dangerous global, e.g., interchange and co-interchange, instability modes. Low-amplitude RMF does not open FRC field lines and thus promotes good energy confinement. Fusion reactors 100 burning advanced fuels may most readily exceed Rankine-cycle energy conversion efficiency because the fusion products are energetic and electrically charged, allowing for direct conversion. Small FRC reactors 100 would require little energy, roughly that in one gallon of gasoline, to start up.
Exemplary embodiments of the present invention would result in a prototype test reactor, producing 1.8 MW of fusion power and requiring an absorbed RMF power of 0.5 MW. With an energy conversion efficiency of 50%, this D-3He burning FRC would produce 400 kWe net electrical power in 15-minute pulses at a duty factor of 10%. Upgrading to a steady-state full-scale FRC, with 40% higher ion energy, 20% higher density, and a 20% larger radius, would result in 12.1 MW of fusion power and a net electrical power of 4 MW.
To reduce radioactivity to the point where development of radiation-resistant materials is unnecessary and associated siting concerns are minor, the fusion reactors 100 must produce few neutrons. A p-11B fuel mixture has a low neutron production rate, about a factor of 105 smaller than D-T. Moreover, 11B is plentiful, cheap, and safe. However, many scientific studies of this reaction conclude that it will not produce net energy in a fusion reactor because of its low fusion rate, low energy release per reaction, high-required temperature, and relatively low fuel concentration at the expected densities of operation.
The fuel mixture with the next lowest rate of neutron production is D-3He. Neutrons from hot D-3He plasma arise from either D-D or D-T reactions, where the T was produced by half the D-D fusion events. Because of the characteristics of the FRC reactor disclosed herein, its neutron wall load will be at least a factor of 100 lower than that in a conventional D-T fusion reactor. Simply replacing D-T fuel with D-3He fuel in a big fusion reactor, whether a tokamak or an FRC, does not reduce the neutron wall load because T produced by D-D reactions will quickly fuse, producing copious neutrons, unless the T can be rapidly expelled.
As such, embodiments of the disclosed fusion reactor will be small in order to accelerate T exhaust, hence reduce neutron wall load. The size, the radius in particular, cannot be made too small, below ˜15 cm, because the energy confinement would then be insufficient. The size cannot be made too large, larger than ˜35 cm, because this interferes with the RMF's ion-heating efficiency, degrades the tritium exhaust technique, and challenges stability criteria. The small size increases the surface-to-volume ratio, roughly linearly with the size reduction. Exemplary embodiments include a reduction factor of at least 4 and as high as 12 in neutron wall load due to the smaller size. The reduction in device size also greatly eases the removal of T. For a 30-cm FRC, over 98% of the T will naturally be lost from the core plasma into the SOL in less than 0.2 s, reducing the neutron production by a factor of 100. Conventional reactors have a T burn-up time of 10 to 30 s. Further, the 3He to D ratio may be increased from 1:1 to 3:1. A drop in power by a factor of two would occur, but the neutron fraction of the power drops a factor of 4.4. An additional improvement is to use RMF to generate beam-like D velocity distributions. This causes up to a further factor of 5 lowering of the neutron wall load. The total reduction in neutral wall load based on these improvements may range from a factor of 100 to a factor of 2400.
For D-3He fuel mixture, the terrestrially available 3He supply is only sufficient to produce about 100 MW for decades. Therefore, embodiments of the present invention may rely on D-D fusion to breed 3He since D is abundant and cheap. 3He catalyzed D-D fusion is described in V. I. Khvesyuk and A. Yu. Chirkov, Plasma Physics and Controlled Fusion 44, 253 (2002); M. E. Sawan, et al., Fusion Engineering and Design 61-62, 561 (2002); and J. Kesner, et al., Nucl. Fusion 44, 193 (2004), all of which are herein incorporated by reference.
Additionally, to avoid even this reduced level of neutron production, a second reactor 216 suitable for use in populated areas, would burn the type-2 3He (that resulted from the T transmutation) and D in a 3:1 ratio at step 218, as described above. Power output would result from the second reactor 216 at step 220. As such, fusion reactors will be built in pairs, where the first fusion reactor 206 will breed T and 3He from D-D fusion. The type-1 3He created immediately by the D-D fusion would be used in the first reactor 206, to increase its power; the T created immediately would be stored for a sufficient time, 10-20 years, to allow it to naturally transmute to type-2 3He and would then be used in the second fusion reactor 216. The second-type fusion reactors 216 may be situated in heavily populated areas, but the first-type fusion reactors 206 should be situated in less densely populated, perhaps remote areas, some distance from population centers. Fusion reactors at those sites might be used for local power generation, for desalinization, for manufacturing, or other uses. Both reactors may be RMF-heated FRC reactors 100 that produce net electrical power.
Embodiments of the present invention further include a method to exhaust charged fusion ash 102, including tritons, protons, 3He, and alpha particles, rapidly from the fusion reactors 100. Exhausting fusion ash 102 rapidly from steady-state fusion reactors 100 promotes cleanliness and increases power output. Increasing the rate of exhaust from FRC reactors 100 of energetic T fusion ash 102 will dramatically reduce neutron production, allowing safer operation and less shielding. By reducing the neutron shield thickness, the mass, size, and cost of the reactors 100 decrease.
Moreover, the gas box (also referred herein as a gas-box divertor) 118 reduces peak power flux onto divertor plates by redistributing heat flux over a larger surface area. By utilizing the gas-box divertor 118, the detrimental, localized heat deposition may be largely mitigated by a high pressure (typically 0.03 to 1 T), neutral deuterium gas, which redistributes the plasma energy over a larger surface area as electromagnetic radiation and low-energy neutral particle bombardment.
Due to the small size (˜25-cm radius plasma) and relatively low magnetic field (˜6 T) of the FRC reactor, the vast majority of the energetic fusion products have orbits that extend up to 8 cm beyond the separatrix 112 into the open field region 108. These fusion products 102 may deposit more than 95% of their energy in the cold plasma 120 that flowed out of the gas box 118 onto the open field region 108, raising the electron temperature of the cool plasma 120 from near 1 eV in the gas box to 10-200 eV in the SOL 110 outside the gas box 118. This method of energy deposition across the SOL's thickness is termed “non-local”, in contrast to the diffusive process that is driven by a local thermal gradient, as occurs in conventional tokamak SOLs. The cold plasma 120 was created in the gas box 118 by ionization of the gas feed by power flow into the gas box 118 in the electron conductivity channel. The detailed processes for ionizing the neutral gas in the gas box include photo-ionization and multi-step ionization. A Saha-like equilibrium may exist. The transfer of fast-ion (fusion product) energy to the SOL plasma 120 may be by classical (binary) processes, often called electron drag (described in T. H. Stix, Plasma Physics 14, 367 (1972), herein incorporated by reference), or collective effects, such as 2-stream instabilities (described in N. A. Krall and A. W. Trivelpiece, Principles of Plasma Physics, McGraw-Hill, New York (1973), herein incorporated by reference). This method for broadening the SOL 110—by forming a wide, cold plasma column in and exiting the gas box 118 and extracting energy from large orbit fusion products 102 across the entire SOL thickness as the plasma flows along the separatrix 112, reduces the need for special magnetic coils to spread the magnetic field, some of which are referred to as snowflake divertors proposed for conventional tokamaks.
As fast ions slow down in the SOL 110, the gyro-center of their motion moves radially outward until the entire orbit is in the SOL 110. Once the fusion product energy is below about ¼ MeV, the orbits are fully on open field lines. This process may be accomplished in less than 0.03 seconds. By comparison, T burn-up takes about 30 seconds, so less than 0.1% of the T will fuse. This will allow the 14.1 MeV neutron production to generate less than 0.1% of the fusion power without requiring complex high-power RF equipment as required by alpha channeling.
Experiments have shown and theory confirmed that a flowing stream of magnetized plasma carrying 10's of kW/cm2 may be dramatically cooled without touching a material wall by passing it through a length, typically 1 m, of neutral gas of moderate density, near 1016 cm−3. This moderate neutral gas density (or pressure) has been shown to reduce the plasma temperature by more than an order of magnitude. In this process, the plasma density first rises then falls, the latter due to 3-body recombination, often by more than an order of magnitude.
A scrape-off layer (SOL) of plasma was simulated using UEDGE multi-fluid code, adapted for one dimension. In order to be consistent with a one-dimensional simulation, the cylindrical geometry of the fusion reactor was modified to that of a slab geometry, with a computational mesh of the SOL in a y-z plane. For reference, the major axis of the fusion reactor was along the z-axis. To that end, there was no variation considered in the x or y directions of the fusion reactor. In order to normalize the one-dimensional case, the code assumed that the slab is 1-m thick in the x-direction, corresponding to an FRC with 16-cm-radius plasma core.
Despite the nominal one-dimensional aspect of the simulation, in the y-z plane there are three radial cells in the y-direction, and a variable number of cells in the z-direction. The setup disclosed herein corresponded to a main row of central cells, bounded on all sides by a perimeter of guard cells. The purpose of the guard cells is numerical, used to set radial flux boundary conditions and simulate injection of power and/or particles into the system. The number of cells in the z-direction was variable to provide a means by which the resolution of the simulation may be controlled. For these observations, 128 cells were simulated along the z-axis.
The main row (in the z-direction) extended from two main axial boundaries of the fusion reactor, simulating a closed end (gas box divertor) on the right and open end (exhaust stream) on the left of the fusion reactor through which high-speed exhaust passes. This configuration may be suitable for a propulsive application, such as a rocket engine.
A plasma column with a radius (thickness) of about 0.01 m was simulated in the presence of a constant axial 0.5 T magnetic field. The plasma in the fusion reactor was 2 m long.
Energy was volumetrically added to the system, via heated electrons. Ions were not heated for volumetric power addition, as this electron-specific type of heating is primarily expected from slowing-down fusion products. This power injection was not uniform along the axis, in order to match the realistic condition that power may only be input through a boundary corresponding to the axial length of the separatrix. The power input into the cells varied as a Gaussian along the z-axis, with the Gaussian peak at z=0 and the Gaussian's axial length approximating the separatrix length of the core of the fusion reactor. The half-width of the Gaussian was set at 0.125 m. This power input was tuned, generally on the scale of 1 to 15 MW.
Neutral gas injection into the gas box was also simulated, with values ranging from approximately 1 to 50 kilo-equivalent-amps (the neutral analog of electric current, amps, with 1 molecule of neutral deuterium being 3.2×10−19 Coulombs of equivalent charge). These values were tuned in order to see varying plasma behavior near the boundary.
Simulations were run with variable power inputs and neutral gas flow rates (into the gas box) in order to look for cases with plasma detachment, a condition in which less plasma damage to the gas box (or divertor chamber) walls is expected because most charged particle energy is converted to photons and low energy neutrals. These simulations also were required for providing the SOL electron density and temperature for calculating the fast-ion slowing down rate. The photons and low energy neutrals spread out over most of the gas-box walls in contrast to a plasma stream which concentrates its power to where the SOL field lines hit the gas box wall. A precipitous drop in electron temperature, typically to below 2 eV, accompanies plasma detachment. For these simulations, plasma was considered detached if the minimum plasma temperature was less than 5% of the plasma's electron temperature at the midplane. Plasma density was also recorded in order to better examine the detachment which first shows a plasma density increase (axially in the gas box) then a decrease, and possibly a second rise due to “reheat.” Additionally, the neutral gas density and pressure were recorded in order to determine correlations between neutral gas density and/or pressure and plasma detachment.
Trends were compared for the ratio of the power input to the corresponding gas injection rate required to lower the plasma temperature, in order to determine their relationship. This allowed for the comparison of data obtained at different power levels or gas flow rates. Furthermore, the aforementioned variables (electron temperature, neutral gas density, etc.) were subdivided into group according to the power input to see if different proportions of gas flow rate/power input were required at different power inputs, for the same temperature drop.
The results are shown in
As seen in the above simulations, it is proportionally easier, as inferred from the gas supply/power supply ratio (GS/PS) ratio, to detach the plasma as more power is input to the system. As shown in
The maximum SOL plasma electron temperatures are shown in
Higher rates of gas injection, at fixed power input, correspond to an overall drop in the maximum SOL plasma temperature and an increase in SOL density, both increasing the fast ion slowing down rate. Detachment behavior was further associated with higher rates of gas injection. Specifically, plasma temperature would sharply drop near the divertor target, resulting is less sputter erosion. At higher power levels, the overall maximum plasma temperature of the SOL was increased. However, for higher power levels, lower gas injection rates relative to the power were required to observe detachment-like behavior. Thus, at higher power levels, it may be proportionally easier to detach hot plasma in the gas box of the FRC.
It is understood that the above-described embodiments are only illustrative of the application of the principles of the present invention. The present invention may be embodied in other specific forms without departing from its spirit or essential characteristics. All changes that come within the meaning and range of equivalency of the claims are to be embraced within their scope. Thus, while the present invention has been fully described above with particularity and detail in connection with what is presently deemed to be the most practical and preferred embodiment of the invention, it will be apparent to those of ordinary skill in the art that numerous modifications may be made without departing from the principles and concepts of the invention as set forth in the claims.
This application is a Divisional of U.S. application Ser. No. 15/522,665 filed on Aug. 22, 2017 which a US national stage of PCT/2016/019238 filed on Feb. 24, 2016, which claims priority to provisional applications 62/120,195, 62/120,206, and 62/120,211, all filed on Feb. 24, 2015, which are herein incorporated by reference in their entireties.
This invention was made with government support under Grants No. DE-AC02-09CH11466 awarded by the Department of Energy. The government has certain rights in the invention.
| Number | Date | Country | |
|---|---|---|---|
| 62120195 | Feb 2015 | US | |
| 62120211 | Feb 2015 | US | |
| 62120206 | Feb 2015 | US |
| Number | Date | Country | |
|---|---|---|---|
| Parent | 15552665 | Aug 2017 | US |
| Child | 17011400 | US |
