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Title:
MULTIPLE MAGNET TRANSDUCER WITH DIFFERENTIAL MAGNETIC STRENGTHS
Document Type and Number:
WIPO Patent Application WO/2003/071665
Kind Code:
A1
Abstract:
A dynamic magnet system, particularly useful for electrical generation, employs multiple magnets (2, 4) in polar opposition to each for individual movement relative to a support structure (6). The magnets (2, 4) have a critical angle of displacement from a horizontal static position of less than 1 degree, with at least some of the magnets (2, 4) having mutually different properties. With different magnetic strengths, a greater movement is produced for both magnets in response to movements of the support structure, for particular ranges of magnetic strength ratios, than would be the case with equal magnets. The magnet movement can be translated into an electrical signal to power an operating system. Ultra low friction ferrofluid bearings can be used to establish static coefficients of friction between the magnets and support structure less than 0.02, enabling useful power generation from only slight movements of the support structure.

Inventors:
CHEUNG JEFFREY T
XIN HAO
Application Number:
PCT/US2003/005057
Publication Date:
August 28, 2003
Filing Date:
February 18, 2003
Export Citation:
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Assignee:
INNOVATIVE TECH LICENSING LLC (US)
International Classes:
H02K1/00; H02K35/02; H02K7/08; (IPC1-7): H02K35/02
Foreign References:
US5818132A1998-10-06
US5347186A1994-09-13
Other References:
CALIN POPA N ET AL: "Gravitational electrical generator on magnetic fluid cushion", JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, ELSEVIER SCIENCE PUBLISHERS, AMSTERDAM, NL, vol. 201, no. 1-3, July 1999 (1999-07-01), pages 407 - 409, XP004181287, ISSN: 0304-8853
Attorney, Agent or Firm:
Koppel, Richard S. (Jacobs Patrick & Heybl, 555 St. Charles Drive, Suite 10, Thousand Oaks CA, US)
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Claims:
WE CLAIM:
1. A dynamic magnet system, comprising: a support structure, and a plurality of magnets oriented in polar opposi tion for individual movement relative to said support 5 structure, at least some of said magnets having mutually different properties.
2. The dynamic magnet system of claim 1, said at least some magnets having different magnetic strengths.
3. The dynamic magnet system of claim 2, said at least some magnets having substantially equal sizes.
4. The dynamic magnet system of claim 1, said at least some magnets having different sizes.
5. The dynamic magnet system of claim 4, said at least some magnets having substantially equal unit mag netic strengths.
6. The dynamic magnet system of claim 1, further comprising respective bearings establishing static coef ficients of friction between said magnets and said sup port structure less than 0.02.
7. The dynamic magnet system of claim 1, further comprising ferrofluid bearings between said magnets and said support structure.
8. The dynamic magnet system of claim 7, said ferro fluid having a viscosity less than 10 centipoise.
9. The dynamic magnet system of claim 8, said ferro fluid comprising a light mineral oil medium mixed with isoparaffinic acid.
10. The dynamic magnet system of claim 1, further comprising a conductor oriented with respect to said sup port structure and magnets so that movement of said mag nets induces an electrical signal in said conductor.
11. The dynamic magnet system of claim 10, said con ductor comprising at least one coil wound on said support structure, said support structure being nonconductive.
12. The dynamic magnet system of claim 10, further comprising an operating system powered by said signal.
13. The dynamic magnet system of claim 1, further comprises a pair of end magnets limiting the travel of said moving magnets, said end magnets oriented in polar opposition to the nearest respective moving magnet.
14. The dynamic magnet system of claim 1, said mag nets having multiple oscillation modes relative to said support structure.
15. The dynamic magnet system of claim 1, said sup port structure orienting said magnets for movement in a primarily horizontal direction.
16. The dynamic magnet system of claim 1, said mag nets oriented for movement along a common axis.
17. The dynamic magnet system of claim 1, said sys tem having a critical angle of displacement for said mag nets from a horizontal static position of less than 1 de gree.
18. The dynamic magnet system of claim 17, wherein said critical angle is less than 10 minutes.
19. An energy harvester, comprising : a support structure, a plurality of magnets oriented in polar opposi tion to oscillate relative to said support structure in multiple oscillation modes, at least some of said magnets having mutually different properties, respective bearings establishing static coeffi cients of friction between said magnets and said support structure less than 0.02, and a conductor oriented with respect to said sup port structure and magnets so that oscillation of said magnets in response to a movement of said support struc ture induces an electrical signal in said conductor.
20. The energy harvester of claim 19, said at least some magnets having different magnetic strengths.
21. The energy harvester of claim 20, said at least some magnets having substantially equal sizes.
22. The energy harvester of claim 19, said at least some magnets having different sizes.
23. The energy harvester of claim 22, said at least some magnets having substantially equal unit magnetic strengths.
24. The energy harvester of claim 19, said bearings comprising a ferrofluid.
25. The energy harvester of claim 24, said ferro fluid having a viscosity less than 10 centipoise.
26. The energy harvester of claim 24, said ferro fluid comprising a light mineral oil medium mixed with isoparaffinic acid.
27. The energy harvester of claim 19, further com prising an operating system powered by said signal.
28. The energy harvester of claim 19, said support structure orienting said magnets for movement in a pri marily horizontal direction.
29. An energy harvester, comprising: a support structure, a plurality of magnets oriented in polar opposi tion to oscillate relative to said support structure in 5 multiple oscillation modes, at least some of said magnets having mutually different properties, and a conductor oriented with respect to said sup port structure and magnets so that oscillation of said magnets in response to a movement of said support struc 10 ture induces an electrical signal in said conductor, wherein said harvester has a critical angle of displacement for said magnets from a horizontal static position of less than 1 degree.
30. The energy harvester of claim 29, wherein said magnets have different magnetic strengths.
31. The energy harvester of claim 29, wherein said critical angle is less than 10 minutes.
32. The energy harvester of claim 29, further com prising an operating system powered by said signal.
33. A dynamic magnet system, comprising: a support structure, and an even number of magnets oriented in polar op position to individually move relative to said support 5 structure along a common axis, at least some of said mag nets having mutually different properties.
34. The dynamic magnet system of claim 33, said at least some magnets having different magnetic strengths.
35. The dynamic magnet system of claim 34, said at least some magnets having substantially equal sizes.
36. The dynamic magnet system of claim 33, said at least some magnets having different sizes.
37. The dynamic magnet system of claim 36, said at least some magnets having substantially equal unit mag netic strengths.
38. The dynamic magnet system of claim 33, further comprising respective bearings establishing static coef ficients of friction between said magnets and said sup port structure less than 0.02.
39. The dynamic magnet system of claim 33, further comprising ferrofluid bearings between said magnets and said support structure.
40. The dynamic magnet system of claim 39, said fer rofluid having a viscosity less than 10 centipoise.
41. The dynamic magnet system of claim 39, said fer rofluid comprising a light mineral oil medium mixed with isoparaffinic acid.
42. The dynamic magnet system of claim 33, further comprising a conductor oriented with respect to said sup port structure and magnets so that movement of said mag nets induces an electrical signal in said conductor.
43. The dynamic magnet system of claim 42, further comprising an operating system powered by said signal.
44. The dynamic magnet system of claim 33, said mag nets having multiple oscillation modes relative to said support structure.
45. The dynamic magnet system of claim 33, said sup port structure orienting said magnets for movement in a primarily horizontal direction.
46. The dynamic magnet system of claim 33, said sys tem having a critical angle of displacement for said mag nets from a horizontal static position of less than 1 de gree.
47. The dynamic magnet system of claim 46, wherein said critical angle is less than 10 minutes.
48. A dynamic magnet system, comprising: a support structure, a plurality of magnets oriented in polar opposi tion to move relative to said support structure, at least some of said magnets having mutually different proper ties, and respective bearings establishing ultra low static coefficients of friction less than 0.02 between said magnets and said support structure, said support structure orienting said magnets for primarily horizontal movement.
49. The dynamic magnet system of claim 48, said at least some magnets having different magnetic strengths.
50. The dynamic magnet system of claim 49, said a~ least some magnets having substantially equal sizes.
51. The dynamic magnet system of claim 48, said at least some magnets having different sizes.
52. The dynamic magnet system of claim 51, said at least some magnets having substantially equal unit mag netic strengths.
53. The dynamic magnet system of claim 48, said bearings comprising a ferrofluid.
54. The dynamic magnet system of claim 53, said fer rofluid having a viscosity less than 10 centipoise.
55. The dynamic magnet system of claim 53, said fer rofluid comprising a light mineral oil medium mixed with isoparaffinic acid.
56. The dynamic magnet system of claim 48, further comprising a conductor oriented with respect to said sup port structure and magnets so that movement of said mag nets induces an electrical signal in said conductor.
57. The dynamic magnet system of claim 56, further comprising an operating system powered by said signal.
58. The dynamic magnet system of claim 48, said mag nets having multiple oscillation modes relative to said support structure.
59. A dynamic magnet system, comprising: a support structure, and a plurality of magnets oriented in polar opposi tion to move relative to said support structure, at least some of said magnets having mutually different proper ties, said support structure orienting said magnets for primarily horizontal movement, wherein said system has a critical angle of dis placement for said magnets from a horizontal static posi tion of less than 1 degree.
60. The dynamic magnet system of claim 59, wherein said magnets have different magnetic strengths.
61. The dynamic magnet system of claim 59, wherein said critical angle is less than 10 minutes.
62. The dynamic magnet system of claim 59, further comprising a conductor oriented with respect to said sup port structure and magnets so that movement of said mag nets induces an electrical signal in said conductor.
63. The dynamic magnet system of claim 62, further comprising an operating system powered by said signal.
64. The dynamic magnet system of claim'59, said mag nets having multiple oscillation modes relative to said support structure.
Description:
MULTIPLE MAGNET TRANSDUCER WITH DIFFERENTIAL MAGNETIC STRENGTHS BACKGROUND OF THE INVENTION Field of the Invention This invention relates to dynamic magnet systems, and more particularly to multiple-magnet systems used to generate electric power.

Description of the Related Art Moving a magnet through a conductive coil induces a current flow in the coil. If the magnet is moved back and forth in a reciprocating motion, the direction of current flow in the coil will be reversed for each suc- cessive traverse, yielding an AC current.

Several electrical generating systems have been dis- closed that make use of reciprocating magnet movement through one or more coils. For example, in various em- bodiments of Patent No. 5, 347, 185, one, two or three rare earth magnets are positioned to move linearly back and forth relative to one or more coils. The magnets can ei- ther be fixed and the coil moved up and down relative to the magnet, as by wave action, the coil can be fixed and the magnet moved relative to the coil as. by pneumatic pressure, or the coil housing can be shaken or vibrated as by being carried by a jogger, to cause a reciprocating or oscillating motion of a magnet which moves within the coil. In one embodiment four magnets are provided in successive polar opposition, with the two end magnets fixed and the middle magnets free to move back and forth along respective portions of a tube. The two middle mag- nets are separated from each other by the carrier for a middle coil, the carrier being approximately twice as wide as either of the middle magnets.

In Patent No. 5,818, 132, one embodiment discloses three moving magnets that are suspended within a vertical tube in polar opposition to each other and to end mag- nets, with a number of coils spaced along the outside of the tube. To minimize friction between the moving mag- nets and the tube, the tube is oriented vertically and moved up and down to move the magnets relative to the coils, thus generating currents in the coils. However, the vertical orientation interferes with the motion of the magnets, which have to fight gravitational forces in order to move relative to the tube. The coupling of tube movements into the magnets is thus reduced.

SUMMARY OF THE INVENTION The present invention provides a dynamic multiple magnet system which achieves a greater coupling between a support structure for the magnets'and the motion imparted to the magnets themselves. This enables a greater elec- trical output for a given device size and weight, and also allows the magnets to be oriented for movement in a primarily horizontal direction, thus greatly increasing their sensitivity to applied motion.

These improvements are achieved by orienting a plu- rality of magnets in polar opposition for individual movement relative to a support structure, with at least some of the magnets having mutually different properties.

The magnets can have different magnetic strengths, achieved by various means such as providing the magnets with different magnetizations or sizes. Equal size mag- nets having different degrees of magnetization, different sized magnets with equal unit degrees of magnetization, or blendings of the two can be used. Surprisingly, the magnet responses to an applied movement of their support structure are greater than for two equal magnets having the average of their sizes and strengths over specific magnetic strength ratios.

The magnets are preferably provided with ultra low friction ferrofluid bearings which establish static coef- ficients of friction between the magnets and support structure less than 0.02. The ferrofluid preferably has a viscosity less than 10 centipoise, and in a particular embodiment comprises a light mineral oil medium mixed with isoparaffinic acid.

The provision of ultra low friction bearings permits the magnets to be disposed in a generally horizontal ori- entation, at which their sensitivity to applied forces on the support structure is significantly enhanced. With this orientation the magnets exhibit multiple oscillation modes that effectively couple many different movements of the support structure into useful magnet motion. With one or more conductive coils positioned to have their turns cut by the moving magnetic fields, an electrical signal can be generated to power numerous kinds of oper- ating systems. The critical angle of displacement for the magnets from a horizontal static position is prefera- bly less than 1 degree, and can be less than 10 minutes with an appropriate choice of ferrofluid bearings.

These and other features and advantages of the in- vention will be apparent to those skilled in the art from the following detailed description, taken together with the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a schematic diagram illustrating the use of a two magnet embodiment of the invention to provide power for an operating system ; FIG. 2 is a schematic diagram of a two-magnet em- bodiment with equal sized magnets having different mag- netization; FIG. 3 is a schematic diagram of a three-magnet em- bodiment of the invention ; FIG. 4 is a calculated plot of magnet velocity as a function of time for a two-magnet system with equal mag- nets, and FIGs. 5 and 6 are calculated graphs relating rela- tive energy output to relative magnet mass/magnetization differentials for strong and weak end magnet systems, re- spectively.

DETAILED DESCRIPTION OF THE INVENTION The present invention provides for more effective and flexible electrical power generation than has previ- ously been available in reciprocating or oscillating mag- net systems. Electricity can be effectively generated from very slight movements of the magnet support struc- ture off a horizontal plane and/or movements in a hori- zontal plane. For example, a walking motion or other normal motions such as turning, tapping, bowing, or even riding in a vehicle that is subject to vibration, can easily generate useful amounts of electricity when the support structure for the magnets is held in the user's hand or in a shirt pocket, while slight off-horizontal movements due to wave or wind action can also be used for electrical generation.

The invention employs multiple magnets that move relative to a common support structure. It is not re- stricted to the three magnets required for the multi- magnet system of Patent No. 5,181, 132, but rather can em- ploy virtually any number of magnets, including even num- bers. The requirement for a vertical orientation for the multi-magnet system of Patent No. 5,181, 132 is also eliminated, allowing for a horizontal magnet motion that is much more sensitive to support structure movements.

FIG. 1 illustrates the use of the invention to pro- vide power for an operating system. In this embodiment two moving magnets 2 and 4 move along the axis of a sup- port structure in the form of a tubular non-magnetic en- closure 6. The magnets are in polar opposition to each other, with their facing ends of like magnetic polarity.

Thus, the magnets mutually repel each other when they come into proximity. Fixed magnets 8 and 10 are posi- tioned at opposite ends of the enclosure in polar opposi- tion to their nearest respective moving magnets 2 and 4.

The ends of the moving and end magnets which face each other are also of like magnetic polarity so that the ad- jacent magnets repel each other.

Magnet 2 is illustrated as having a unit size, while magnet 4 is illustrated as comprising two unit sizes.

Since all of the magnet units are assumed in this embodi- ment to have equal magnetic strengths, the overall mag- netic strength of magnet 4 will be twice that of magnet 2. For slight impacts to the enclosure or slight off- horizontal enclosure movements, the magnets 2 and 4 will slide along the enclosure 6 if the static coefficients of friction between the magnets and the enclosure are less than about 0.02. Magnet movement will generally not occur with higher frictional coefficients in response to rela- tively gentle enclosure movements, such as those produced by placing the enclosure in a shirt pocket and walking with it. The use of two magnets in polar opposition to each other with ultra low friction bearings has been found to greatly increase the responsiveness of magnet motion to enclosure movements that are not at the natural frequency of the enclosure with a single magnet, and/or are out of phase with the initial magnet motion. Sur- prisingly, it has been discovered that, when the two mag- nets have different magnetic strengths, both magnets have a greater response to enclosure movements than do two equal magnets of intermediate magnetic strength. In other words, starting with two magnets of equal magnetic strength, increasing the strength of one and reducing the strength of the other will cause both magnets to oscil- late faster in response to enclosure movements for par- ticular ranges of strength ratios. This greater respon- siveness directly increases the amount of power that can be generated with the system.

To achieve the desired low level of friction, ferro- fluid bearings are preferably employed as an interface between the magnets and enclosure. Ferrofluids are dis- persions of finely divided magnetic or magnetizable par- ticles, generally ranging between about 30 and 150 Ang- stroms in size, and dispersed in a liquid carrier. The magnetic particles are typically covered with surfactants or a dispersing agent. The surfactants assure a perma- nent distance between the magnet particles to overcome the forces of attraction caused by Van der Waal forces and magnetic interaction, and also provide a chemical composition on the outer layer of the covered particles which is compatible with the liquid carrier and the chemicals in the surrounding environment. Ferrites and ferric oxides employed as magnet particles offer a number of physical and chemical properties to the ferrofluid, including saturation magnetization, viscosity, magnetic stability and chemical stability. Several types of fer- rofluids are provided by Ferrotec (USA) Corporation of Nashua, New Hampshire. A summary of patents related to the preparation of ferrofluids is provided in Patent No.

6,056, 889, while the use of ferrofluid bearings in a mov- ing magnet electrical generator is discussed in copending Patent Application Serial No. 10/078, 724, enti- tled"Electrical Generator With Ferrofluid Bearings", filed on the same day as the present invention by the present applicants and also assigned to Innovative Tech- nology Licensing, LLC, the assignee of the present inven- tion. The contents of this copending application are hereby incorporated herein by reference.

The characteristics of the ferrofluid and magnets are related. If the magnets have a relatively low mag- netic field, a ferrofluid of relatively high magnetiza- tion should be used. The magnets'magnetic fields will typically range from about 500-4000 Gauss, and the mag- netization of the ferrofluid from about 50-400 Gauss.

The ferrofluid's frictional coefficient is roughly related to its viscosity (measured in centipoise (cp)), but not directly. For example, a ferrofluid with a vis- cosity of 300 cp has been found to have a static friction coefficient of about 0.015, the EFH1 ferrofluid from Ferrotec (USA), Corporation has a viscosity on the order of 6 cp and a static friction coefficient of about 0.002, but a water based ferrofluid with a viscosity of 5 cp has been found to have a static friction coefficient of about 0.01. The higher friction coefficient for the somewhat lower viscosity composition has been attributed to a sur- face tension associated with a water based solvent.

A preferred ferrofluid composition for the present invention has a viscosity substantially less than 5 cp, actually less than 2 cp, and achieves an ultra low coef- ficient of static friction in the range of 0. 0008"-0. 0012.

This is sensitive enough for a magnet on a beam to begin sliding when the beam is tilted only about 0.07 degrees off horizontal. This and other suitable ferrofluid com- positions are discussed in copending Patent Application Serial No. 10/078, 132, entitled"Mechanical Trans- lator With Ultra Low Friction Ferrofluid Bearings", filed on the same day as the present invention by applicant Jeffrey T. Cheung, and also assigned to Innovative Tech- nology Licensing, LLC, the contents of which application are hereby incorporated herein by reference. The compo- sition comprises a mixture of one part Ferrotec (USA) Corporation EFH1 light mineral oil ferrofluid mixed with from two to four parts of isoparaffinic acid, stirred for 24 hours. Suitable sources of isoparaffinic acid are Isopar G and Isopar M hydrocarbon fluids from ExxonMobil Chemical Corp.

Undiluted EFH1 ferrofluid could also be used. Undi- luted EFH1 composition has a greater weight bearing ca- pacity than for the diluted version, but diluting the composition will retain sufficient weight bearing capa- bility for most applications. Other ferrofluids with static friction coefficients up to about 0.02 could also be used, such as Ferrotec (USA) Corporation type EMG805, a water based ferrofluid with a static friction coeffi- cient of about 0.01 and a viscosity of about 5 cp, since the power output achievable with a 0.02 static friction coefficient is still about 75% that achievable with a zero friction system. At present the EMG805 composition is considerably more expensive than the EFH1 composition and has a somewhat lesser load bearing capability. In general, suitable ferrofluids will yield a critical angle of displacement from a horizontal static position of less than 1 degree to initiate magnet movement, and with the mixture described about the critical angle is less than 10 minutes.

Returning to FIG. 1, a ferrofluid within the enclo- sure 6 is naturally attracted to the poles of magnets 2 and 4 to form beads 12,14 and 16,18 around the end poles of magnets 2 and 4, respectively. This provides an ultra low friction lubricant that allows the magnets to freely slide with respect to the enclosure. The magnets will move in response to a tilting of the enclosure away from horizontal, a horizontal movement of the enclosure, or more complex compound movements. The kinetic energy of the moving magnets is converted to potential energy as they approach their respective end magnets, and then back to kinetic energy as they are repelled away from the end magnets.

A pair of conductive coils 20 and 22 are wound on respective halves of the enclosure 6. Alternately, a single coil encompassing the full length of magnet move- ment within the enclosure could employed but, since the two magnets will often be moving in opposite directions, opposing currents would be induced in a single coil dur- ing these periods that would lower the system's overall efficiency.

Coils 20 and 22 are connected to respective full- wave bridge rectifying circuits 24 and 26, the outputs of which charge batteries 28 and 30, respectively, within an overall operating system 32. The batteries provide power for an operating device 34, such as an environmental sen- sor, transmitter, flashlight or cellular telephone, that can be operated by mechanical inputs such as a walking motion, wave motion or wind. Alternately, the bridge outputs can be connected directly to the operating device if real time power is desired.

FIG. 2 illustrates an alternate embodiment of the invention, with just the magnets and their enclosure shown for purposes of simplification, without coils or other circuitry. In this embodiment a pair of magnets 36,38 are again retained within a nonmagnetic enclosure 40 by end magnets 42,44 of opposing polarities. In this case the magnets are of equal size, but magnet 38 has a greater degree of magnetization and magnetic field strength, as indicated by double magnetization arrows, as opposed to a single magnetization arrow for magnet 36.

The operation of this type of arrangement is generally equivalent to that shown in FIG. 1, in which each of the magnet sections have equal unit field strengths, with one magnet having two sections and the other having one. In both cases, both magnets will move faster in response to movements of the enclosure, for particular ranges of size and strength ratios, than would be the case with two mag- nets both having a field strength equal to the stronger magnet of FIG. 2.

FIG. 3 illustrates a further embodiment with three magnets 46,48 and 50 within enclosure 52. In this exam- ple the magnets all have different sizes/magnetic field strengths, with each riding on ultra low friction ferro- fluid bearings. The largest magnet is shown disposed be- tween the other two, but this order could be varied, as could the ratios between the magnet sizes/field strengths, within the scope of the invention. Two of the magnets could. also be made equal, with the third magnet having a different field strength. The invention can be generalized to any plural number of magnets, with at least two having different magnetic strengths, although increasing the number of magnets reduces the effective length of the enclosure left for magnet movement.

FIG. 4 is a calculated plot illustrating the multi- ple modes of vibration that result from a plural magnet system with ultra low friction bearings., This plot was made with the magnets assumed to have equal magnetic field strengths, and traces the velocity of one of the magnets as a function of time. The enclosure is assumed to have a length that would result in a natural frequency of 1 Hz for a single-magnet system. With two magnets there are multiple modes of oscillation, corresponding to the several velocity peaks which occur during each one second period, for each magnet. This makes the multiple magnet system more responsive to enclosure movements that do not match the system's natural frequency and/or are out-of-phase with the initial magnet movement. The in- creased responsiveness of multiple-magnet transducers with ultra low friction bearings is discussed in detail in copending Patent Application Serial No. 10/077, 945, entitled"Multiple Magnetic Transducer", filed on the same day as the present invention by the present appli- cants and also assigned to Innovative Technology Licens- ing, LLC, the contents of which application are hereby incorporated herein by reference. Similarly, multiple oscillation modes are produced with the multiple magnets of different field strengths which are the subject of the present invention.

FIGs. 5 and 6 show the calculated energy outputs for two-magnet systems, normalized to the energy output for a single-magnet system, as a function of the magnet mass and magnetization ratios. FIG. 5 presents results when strong fixed end magnets (11,400 Gauss) were assumed, and FIG. 6 for weak end magnets (3,800 Gauss). The results obtained for magnets of equal magnetic material but dif- fering masses were equivalent to the results for magnets of equal mass but differing magnetic strengths. The fol- lowing assumptions were made: - Stronger magnet size: 2.54 cm. diameter, 1.27 cm. long.

- Stronger magnet strength: 11,400 Gauss.

- Tube length: 15.24 cm.

- End magnet size: 0.95 cm. diameter, 0.635 cm. long.

- Acceleration applied to tube: 1 meter/sec. /sec. alter- nating for 0.5 sec. forward and 0.5 sec. backward, for a 1 Hz frequency (simulating an arm swing).

- Frictionless system.

The two-magnet systems produced greater energy out- puts than the single-magnet systems over particular ranges of mass or magnetization ratio, with the range de- pending upon the end magnet strength. With the strong end magnets of FIG. 5 a significantly enhanced output was calculated for ratios of about 0.075-0. 2, while with the weak end magnets of FIG. 6 a significantly enhanced out- put was calculated for ratios of about 0.35-0. 6, with a lesser peak at about 0.04. Since the applied accelera- tion alternated at a frequency near the single magnet system's resonant frequency, even better results could be expected at frequencies further removed from the resonant frequency, or for random inputs.

It is also significant that greater energy outputs were calculated for the two-magnet system with different magnet sizes or strengths than for a two-magnet system with equal magnet sizes or strengths (corresponding to a ratio of 1). With the system of FIG. 5 this occurred over generally the same range of ratios as when compared to a one-magnet system, while in FIG. 6 this occurred over the full ratio range.

The invention has many applications, some of which include providing power for cellular telephones, emer- gency transmitters and environmental sensors, and elec- trical generation and battery charging systems in gen- eral.

While several embodiments of the invention have been shown and described, numerous variations and alternate embodiments will occur to those skilled in the art. For example, greater numbers of magnets could be employed than in the systems illustrated, or different ultra low friction lubricants than the specific compositions men- tioned could be used. Also, instead of placing the mag- nets inside a housing and winding the coils around the outside of the housing, the elements could be reversed with coils inside a housing and a toroidal-shaped magnet outside. Accordingly, it is intended that the invention be limited only in terms of the. appended claims.