The Air Force, DoD, NASA, and commercial spacecraft manufacturers all have a growing interest in replacing small chemical thrusters, reaction wheels, and magnetic torque rods with more advanced, lighter weight, lower power, more controllable micro-propulsion alternatives. In addition to this need, propellant mass and power scalability is highly desirable, thus opening up a wide range of applications for micro-, nano-, and pico-satellites, and the control of flexible structures. Furthermore, ultra-compact packaging and extremely low mass of the propulsion system is highly desirable to achieve optimal thruster placement on the spacecraft, to maximize control without adversely impacting fields-of-view, and to minimize the exposure of sensors to exhaust plume impingement.
It is disclosed herein a breakthrough concept for in-space propulsion for these future Air Force systems. The invention combines the fields of micro-electrical-mechanical (hereinafter, MEMs) devices, optical physics, and non-equilibrium plasma-dynamics to reduce dramatically the size of electric thrusters by 1-2 orders of magnitude, which when coupled with electrodeless operation and high thruster efficiency, will enable scalable, low-cost, long-life distributable propulsion for control of micro-satellites, nano-satellites, and space structures. The concept is scalable from power levels of about 1 W to tens of kilowatts with thrust efficiency exceeding 60%. Ultimate specific impulse would be about 560 seconds with helium, with lower values for higher molecular weight propellants.
Numerous advantages and features of the invention will become readily apparent from the following detailed description of the invention and the embodiments thereof, and from the accompanying drawings.
The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee. Better understanding of the aforementioned invention may be had by referencing the accompanying drawings, wherein:
a and 7b displays two images of arrays of parabolic cross-sectional microcavities; and
While the invention is susceptible to embodiments in many different forms, the preferred embodiments of the present invention are shown in the drawings (
The heart of the invention is a technology breakthrough MEMs-scale plasma discharge (
The innovation forms the basis for a new class of electrothermal thruster that is particularly applicable to satellites. Referring now to
One important aspect of one or more embodiments of the invention is potential scalability from very small to significantly large thrusters, as any desired number of cavities, also called pixels, can be run in parallel, with equally high efficiency. Unlike normal glow or arc discharges that have a negative resistance V-I characteristic and are thermally unstable in parallel without ballast, the cavities operate in the abnormal glow mode, with ionization fraction <<1% and a positive V-I characteristic (
The new type of thruster of this invention is to modify an MCD into an MCDT thruster, as shown schematically in
The MCD thruster is a readily-modified version of an MCD by adding a properly designed plenum and nozzle/valve array (
This new propulsion approach is based on recent advances in MEMS cavity discharges, developed at the University of Illinois. The MCD thruster is predicted to achieve >60% efficiency or greater at about 220 s with neon, or about 500 s with helium. Maximum input power will be about 1-3 W per cavity.
The gas propellant feed system is adapted from known technology, including filters to prevent particle contamination in about 100 μm orifices. The MCD is electrodeless, with Al2O3 insulation, and is therefore predicted to have a very long life, even with oxygen-containing propellant. Voltage levels are modest (<1 kV), and the system does not require a neutralizer for operation. The predicted thrust efficiency exceeds considerably that of the micro-resistojet at 60%. Performance, in terms of specific impulse, and thruster mass and volume, is much higher than that of the resistojet. Large arrays of these micro-cavities, as many as 400/cm2, could absorb about 1 kW/cm2, resulting in a high power thruster with extremely low mass and high thrust/cm2.
The MCD, the basis for the proposed thruster, has been under development at the University of Illinois by Prof. Gary Eden, Dr. Sung-Jin Park, and colleagues since 1997, and is the subject of numerous patents. To date, applications of the MCD are display light sources, and microchemical reactors. In these applications the plasma is sometimes static, but in most cases flows through the cavity driven by a differential pressure (herein after “Δp”) of 0.2-0.3 atm. For the propulsion application, a flowing and accelerating plasma would be at a higher Δp (about 0.5-3.0 atm. across the microcravity and preferably around 0.5 to 1.5 atm.) and higher power input than has here-to-fore been demonstrated.
The predicted efficiency of 60% is much higher than that of other low power electrothermal, ion or Hall microthrusters, because:
1. Ionization fraction is <<1%, and frozen flow loss from ionized exhaust is negligible.
2. No auxiliary systems are needed, e.g. neutralizer, heater, igniter.
3. Operating pressure is a few atm., giving reasonable nozzle Reynolds numbers, and low viscous losses.
4. Power processing is accomplished with a DC-AC converter with low mass, and with PPU efficiency as high as 96%.
5. The system is electrodeless (meaning the electrodes are not exposed to the discharge gas because the electrodes are insulated), eliminating sheath loss and electrode ablation.
6. Power is capacitively coupled, so electrodes are cool, and heat loss is minimized. Power density is extremely high, typically 1012 W/m3. Calculations of heat loss at the operating Reynolds number, using a Nusselt number model, predict a loss of less than 10% of the input power for argon, with the loss scaling as (molecular weight)−1/2 thus approaching 10-20% loss for helium. The primary reason the heat loss is low is that the cavity length is extremely low about 100-500 μm and most likely around 250 μm, resulting in a low wall area.
Additional features of the proposed MCD thruster system are:
1. The MCD thruster is throttleable by varying source pressure.
2. The MCD thruster has very low thrust noise, making it a candidate for certain AF and NASA missions requiring extremely precise, low-noise acceleration control.
3. High stagnation temperatures are possible, much higher than attainable with the resistojet (about 1500 K has been obtained with Al/Al2O3 electrodes), without the need for bulky, inefficient insulation. To achieve higher temperatures, a polyatomic seed gas can be added such as nitrogen or water vapor.
4. A very low system mass and volume is anticipated, allowing use on very small satellites with mass as little as about 1 kg.
Technology development on the MCD (Microcavity Discharge) began eleven years ago at the University of Illinois, with the objective of being used as a light source with practical applications for high resolution/thin-film plasma displays and medical treatment. In this case the MCD thruster is a variant of the MCD, originally made up of a 3×3 pixel array (
Al/Al2O3 Microcavities of Controllable Cross-Section
This new thruster leverages technology developed over the past several years at the University of Illinois in which microplasma devices having predetermined cross-sectional geometries can be fabricated with sidewalls of extraordinary quality (RMS surface roughness <1 μm). Precise control of the cavity profile and surface morphology is achieved with a sequence of wet electrochemical processes. Chemical micromachining enables the cavity cross-sectional profile, ranging from a linear taper to parabolic (“bowl-shaped”) geometry,
Referring now to
Design and Fabrication of Microplasma/Nozzle Arrays
The ability for precision control of the geometry of a microcavity fabricated in Al/Al2O3 structures represents an enormous asset for this innovation, allowing us to systemically correlate thruster design with performance. Although we are confident that parabolic microcavities with exit apertures as small as about 10-20 μm in diameter (and, possibly, smaller) are achievable in the next 1-2 years, our near-term experiments will focus on about 50-100 μm diameter conical nozzles. Numerical analysis will determine the optimal profile for the nozzle surface that, in turn, dictates the processing parameters for the wet chemical fabrication sequence.
An important feature of the MCD thruster is the capability of operating at a Reynolds number sufficiently high so that the nozzle flow is not dominated by viscous effects. Typically this means Re>1000. Higher Re operation is possible because, although the diameter and length of the MCD thruster are small, the pressure is relatively high. This is necessary because the MCD, in order to maintain a low breakdown voltage of several hundred volts, typically operates at a pd (pressure times diameter) value of about 2-10 Torr-cm. At the upper end of the range, this implies that about a 100 mm (0.01 cm) diameter cavity needs a pressure of about 1000 Torr (about 1.3 atm). This value is sufficient to keep the Re high enough to operate the nozzle efficiently.
Another asset of microplasmas that was mentioned earlier is that these plasmas generally operate in the abnormal glow region in which the V-I characteristic has a positive slope. In contrast to conventional (macroscopic) plasmas, therefore, microplasma arrays do not require external ballast. However, it is important that the plasma resistivity is measured so that the driving electronics can be optimized. From the resistivity the degree of ionization a can be inferred. We expect a very low level of α, and hence a very small loss due to frozen flow.
MCD Thruster Efficiency
The efficiency of the MCD thruster can be supported by heat transfer calculations. The first approach is to calculate a heat transfer coefficient h [W/m2-K] from the well-known Nusselt number relation Nu=hD/k, where Nu=0.023(Pr)0.4(Re)0.8, k is thermal conductivity and D is taken as (Awall)1/2. For the MCD thruster the wall area is Awall=0.063 mm2, giving D=0.25 mm. The Nusselt number calculation gives a heat transfer coefficient h for the MCD thruster of 520 W/m2-K and the resulting hAwall is 3.3e-5.
Since the MCD thruster operates at a power level of (2-3 W) and a temperature of (1600-2000 K), the value of hAwallΔT is ˜60 milliWatts, and the conclusion is that the MCDT has a small heat loss.
Wall Heat Loss (Second Model):
Here we present a model of the wall heat loss based on the Reynolds analogy, which relates heat transfer to skin friction through the statement that similar boundary layer solutions exist for the momentum and energy equations for laminar flow. The Reynolds Analogy relationship of heat transfer rate to shear stress, for fluid temperature T and velocity U, can be written:
where {dot over (q)}w is the local wall heating, and τw is the local wall shear stress, related to the friction coefficient f and the fluid dynamic pressure q=ρU2/2 by:
For low Re (laminar flow) the friction coefficient is given by f=16/Re. It is convenient to use the relation (mass flow)=ρUA [kg/s], where A=flow area, and write Re as:
We now combine the above equations and wind up with the simple relation:
where μ is the viscosity in Pa-s, and L is the length of the flow duct in meters. Assuming that Tw is constant and that T(x) increases linearly from Tw at x=0 to Tmax at x=L, the total wall heating loss is:
{dot over (Q)}w=4πμCp(Tmax−Tw)L
Note that the heat loss is independent of the diameter, and the fractional heat loss only depends on the flow duct length. The goal is to find the fractional heat loss, given by:
We write:
Input power Pin={dot over (Q)}w+{dot over (m)}Cp(Tmax−Tw)
which after rearranging gives the simple expression for fractional heat loss q:
Note that for simplicity we have used an average value instead of a temperature-dependent value for viscosity. The model predicts that low L and high mass flow rate are desirable, the latter implying high pressure.
Finally, our past experience with other microthrusters has shown that the dominant flow loss is nozzle frozen flow loss due to dissociation and ionization. For the MCDT this is not a concern, since we use monatomic neon propellant, and the degree of ionization is very small (˜0.01%).
It is likely that the major determiner of thrust efficiency is viscous losses in the nozzle due to the required Reynolds number regime. If the nozzle expansion drops the flow temperature to an exit temperature Te, the nozzle thermal efficiency ηN can be expressed as:
For the expected Me=3 based on similar nozzles, ηN=0.75. When added to heat loss, plume divergence and distribution loss, we anticipate with confidence an MCD thrust efficiency of 60%.
Mass Flow Control
Resistojets show thrust characteristics that follow predictions for supersonic nozzles, when allowance is made for viscous effects by operating at a sufficiently high Reynolds number. Although the nozzle flow can become rarified, these effects can only be determined from numerical modeling. The other control question is that of the minimum impulse bit, which is important for precision location and attitude control. A straightforward calculation shows that the impulse bit of the MCD thruster is small enough for most requirements.
Consider a satellite of mass M, which must be kept positioned within a distance D [m]. In order to keep the control thruster duty cycle greater than a period of T [sec] between operations, the velocity must be kept below D/T [m/s], and the momentum, or impulse bit, below MD/T. Thus for a satellite of mass 1 kg, for D=1 mm and T=10 seconds, Ibit<10−4 N-s=100 μN-s. This Ibit can be achieved by an MCD thruster with a thrust of 1 mN and a thrust time of t
Referring back to
In other embodiments, the at least one microcavity can be an array of microcavities operating electrically and fluid dynamically in parallel, wherein the size of the array is at least 100,000 microcavities. In addition, the system may further include a converging-diverging micronozzle downstream of each microcavity that expands the heated propellant, accelerating it to create a supersonic exhaust jet.
In yet other embodiments, the insulated material is aluminum oxide (Al2O3) and/or the electrodes can be made of one or more of the following: titanium, titanium oxide, or silicon carbide.
Yet further may be a system having the power source operated at a discharge radio frequency of about 5 to 500 kHz which is created from a DC bus voltage using a DC-AC inverter and step-up transformer, providing a voltage and current at about 1000 V and about 1 ma, for a typical power into each microcavity of about 1 watt.
The gaseous propellant may be a monatomic gas such as but not limited to xenon, krypton, argon, neon, or helium and the gaseous propellant may be seeded with a few percent of polyatomic gases such as nitrogen or water vapor to increase power.
In yet further embodiments the thruster system may include a differential pressure through the system of about 0.2 to about 3 atms and in other embodiments, about 0.5 to about 1.5 atms.
The microcavity discharge (MCD) thruster is expected to be a high specific thrust, high thrust density, high specific power system, with high propellant utilization and a simple power processor. Efficiency is predicted as greater than 60%, and power scalability is straightforward over a wide range. Lifetime is expected to be long, due to the lack of electrode sheaths and the capability of operating without an auxiliary neutralizer.
From the foregoing and as mentioned above, it will be observed that numerous variations and modifications may be effected without departing from the spirit and scope of the novel concept of the invention. It is to be understood that no limitation with respect to the specific methods and apparatus illustrated herein is intended or should be inferred.
The present invention claims priority to U.S. Provisional Application 61/106,752 filed Oct. 20, 2008.
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Number | Date | Country | |
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61106752 | Oct 2008 | US |