The subject matter described herein relates generally to inertial energy storage devices and, more particularly, to a multi-layered flywheel.
At least some known inertial energy storage devices include flywheel devices that rotate at high velocities in excess of 10,000 revolutions per minute (rpm) to store momentum, or inertia, for subsequent energy conversion to electric power. Some of the known flywheels include a unitarily formed radially outer rim coupled to an inner hub. To increase the stored inertia in the flywheels, the radially outer rim is formed with a predetermined thickness to define a predetermined mass. However, the high rotational velocities induce significant stresses within the thick rim. A stress profile defined within the rim typically shows the largest stress magnitudes to be closest to the hub, while the radially outer portions of the rim experience induced stresses that are significantly lower than the radially inner portions. Therefore, the material properties of the outer portions are underutilized compared to the inner portions. Such stresses on the innermost portions of the rim limit the rim thickness, and subsequently limit the inertia available for energy conversion. One measure of the effectiveness of inertial energy storage devices is stored inertia per unit volume taken up by each device. Lower values of inertia per unit volume increase the number of the multiple inertial energy storage devices required to meet large power demands. Increasing the number of devices increases the installation and maintenance costs, including spare part storage costs.
In at least some other known inertial energy storage devices, the known flywheels are assembled with a plurality of concentric layers, or rings, extending radially outward from the hub. Each ring is formed from a substantially similar composite material having substantially similar densities. Also, each ring defines a stress profile that shows that largest stress magnitudes are within the outermost ring, which now becomes the limiting factor with respect to rotational velocities and overall ring thicknesses. Therefore, in known flywheels with layered rings, the outer rings experience induced stresses closer to the material limits than the inner rings, and the inner portions of the flywheel are still being underutilized. Moreover, the maximum inertia per unit volume value is still not attained.
In one aspect, a flywheel device is provided. The flywheel device includes a substantially cylindrical hub. The flywheel device also includes a radially inner ring that includes a first material having a first density. The flywheel device further includes a radially outer ring that includes a second material having a second density. The first density is greater than the second density.
In another aspect, an inertial energy storage device is provided. The inertial energy storage device includes a plurality of stationary electrical windings, a rotatable shaft, and a plurality of rotatable magnets coupled to the rotatable shaft. The plurality of stationary electrical windings extend about at least a portion of the plurality of rotatable magnets. The inertial energy storage device also includes a flywheel device that includes a substantially cylindrical hub rotatably coupled to the rotatable shaft. The flywheel device also includes a radially inner ring including a first material having a first density. The flywheel device further includes a radially outer ring that includes a second material having a second density. The first density is greater than the second density.
In yet another aspect, a method of assembling an inertial energy storage device is provided. The method includes providing a plurality of stationary electrical windings that define a cavity and providing a rotatable shaft. The method also includes fixedly coupling a plurality of rotatable magnets to the rotatable shaft. The method further includes assembling a flywheel device that includes providing a substantially cylindrical hub. The method also includes coupling a radially inner ring to the hub such that the radially inner ring is concentrically disposed about the hub. The radially inner ring includes a first material having a first density. The method further includes coupling a radially outer ring concentrically about the radially inner ring. The radially outer ring includes a second material having a second density. The first density is greater than the second density. The method also includes rotatably coupling the cylindrical hub to the rotatable shaft. The method further includes inserting the rotatable shaft into the cavity such that the plurality of stationary electrical windings extend about at least a portion of the plurality of rotatable magnets.
These and other features, aspects, and advantages of the present invention will become better understood when the following detailed description is read with reference to the accompanying drawings in which like characters represent like parts throughout the drawings, wherein:
Unless otherwise indicated, the drawings provided herein are meant to illustrate key inventive features of the invention. These key inventive features are believed to be applicable in a wide variety of systems comprising one or more embodiments of the invention. As such, the drawings are not meant to include all conventional features known by those of ordinary skill in the art to be required for the practice of the invention.
In the following specification and the claims, reference will be made to a number of terms, which shall be defined to have the following meanings.
The singular forms “a”, “an”, and “the” include plural references unless the context clearly dictates otherwise.
“Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where the event occurs and instances where it does not.
Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about” and “substantially”, are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value. Here and throughout the specification and claims, range limitations may be combined and/or interchanged, such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise.
The exemplary systems and methods described herein overcome disadvantages of known flywheel devices and inertial energy storage devices by providing a flywheel device with a configuration including a rotating structure having multiple layers, or rings, formed of differing materials. Such multi-layered functional grading defines a decreasing density gradient extending radially outward from the center of the flywheel device and facilitates uniform radial and hoop stress management. The flywheel device operates at higher speeds with higher rotational inertia than known flywheels. Therefore, compared to known flywheels occupying the same volume, the exemplary flywheels described herein facilitate storage of more inertial energy and an increase in energy density. Moreover, a smaller number of energy storage units are required to attain a large energy storage capacity, thereby facilitating an increased reliability of power supply with lower operating costs than those facilities with additional energy storage devices.
Inertial energy storage device 100 further includes a plurality of magnetic bearings 120 to facilitate radial and longitudinal support and alignment of shaft 112. Inertial energy storage device 100 also includes a passive gimbal system 122 coupled to outer casing 104. Shaft 112 operates with rotational velocities in excess of 30,000 revolutions per minute (rpm). Passive gimbal system 122 facilitates supporting the remaining components of inertial energy storage device 100 compliantly, in contrast to rigidly, during such high-speed operation. Gimbal system 122 is configured to move in a predetermined manner while providing a predetermined support stiffness and damping to reduce detrimental effects of any dynamic instability associated with operation of device 100.
In operation, as flywheel device 108 is initially stationary, stator windings 118 are energized from the electric power source. Motor-generator 114 is motorized and shaft 112 and flywheel device 108 are accelerated to a rotational velocity in excess of 30,000 rpm. Flywheel device 108 stores energy in the form of inertial energy. When electric power from the source to stator windings 118 is interrupted, motor-generator 114 shifts to a generator mode of operation and generates electric power by converting the stored inertial energy into electric energy via rotor magnets 116. Flywheel device 108 decelerates as electric power is generated by conversion of the stored inertial energy.
Referring to
Referring to
Hoop stresses are induced circumferentially, i.e., such hoop stresses act in a direction that is perpendicular to an axial and radial direction. More specifically, hoop stresses associated with rim 204 are induced when the radially inner portion of rim 204 attempts to expand radially outward. However, such outward expansion is restrained by radially adjacent portions of rim 204. Therefore, the radially inner portions of rim 204 experience the forces induced within rim 204 acting on a smaller circumference as a function of distance from the outermost portion of rim 204. Therefore, peak stress vector 208 induced at radially innermost portion 210 (both shown in
Referring to
The magnitudes of radial stresses 240 are significantly less than the magnitudes of equivalent stresses 220 (shown in
Referring to
Referring to
Referring to
The magnitudes of radial stresses 340 are significantly less than the magnitudes of equivalent stresses 320 (shown in
Referring to
The magnitude of peak stress vector 409 is greater than the magnitude of peak stress vector 407. Both of peak stress vectors 407 and 409 are at least partially defined as a function of a rotational velocity V of device 400, the density of the composite material in the vicinity of radially innermost portions 410 and 411, respectively, and the associated positions along outer diameter D. Rotational velocity V and the density of the composite materials for inner and outer rings 403 and 504, respectively, are substantially similar. Therefore, the magnitude of stresses within rings 403 and 405 are mostly a function of the associated distance from rotational center C, extending up to the limits of outer diameter D.
Inner ring 403 also includes a radially outermost portion 412 and a center portion 413. Outer ring 405 includes a radially outermost portion 414 and a center portion 415. Radially outermost portion 412 of inner ring 403 and radially innermost portion 411 of outer ring 405 define an interface 416.
Referring to
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In addition, referring to
Referring to
Referring to
The magnitudes of radial stresses 440 are significantly less than the magnitudes of equivalent stresses 420 (shown in
During operation of device 500, stress gradients 512, 514, 516, and 518 are induced discretely within rings 504 through 510, respectively. Each of stress gradients 512 through 518 is partially defined by a peak stress vector 520, 522, 524, and 526 respectively. The steepness of each of stress gradients 512 through 518 decreases as a function of increasing distance from hub 502. Moreover, the magnitudes of peak stress vectors 520 through 526 increase as a function of increasing distance from hub 502. Therefore, a rotational velocity V and/or an outer diameter D is limited by the material properties of outermost ring 510. Moreover, rings 504 through 508 are relatively under-stressed and could rotate at a higher rotational velocity V than outermost ring 510 before reaching the same peak stress limit. However, because rings 504 through 510 are coupled together, and inertia is a function of mass and velocity, to increase the inertia of each under-stressed ring, the mass should be increased accordingly.
Plurality of rings 606 also includes a second ring 610 that is formed from a second material and has a second density. The first material may be a composite material including a second plurality of carbon fibers impregnated with a second epoxy substance, wherein the second plurality of carbon fibers is distributed to define the second density. The second epoxy substance may be similar to the first epoxy substance. Alternatively, the second material may include at least one metallic substance that is distributed to at least partially define the second density. Also, alternatively, the second material may be any substance or combination of substances that enables operation of flywheel device 108 and inertial energy storage device 100 as described herein. Moreover, the second density is less than the first density. In the exemplary embodiment, second ring 610 is coupled to radially innermost ring 608 by an interference fit.
Plurality of rings 606 further includes a radially outermost ring 612 that is formed from a third material and has a third density. The third material may be a composite material including a third plurality of carbon fibers impregnated with a third epoxy substance, wherein the third plurality of carbon fibers is distributed to define the third density. The third epoxy substance may be similar to the first epoxy substance. Alternatively, the third material may include at least one metallic substance that is distributed to at least partially define the third density. Also, alternatively, the third material may be any substance or combination of substances that enables operation of flywheel device 108 and inertial energy storage device 100 as described herein. Moreover, the third density is less than the second density.
Plurality of rings 606 also includes a plurality of intermediate rings 614, wherein each of rings is similar to rings 608, 610, and 612 with the exception of the materials and their associated densities. The materials and their associated densities for intermediate rings 614 are predetermined to cooperate with rings 608, 610, and 612 to enable a multi-layered functional grading by defining a decreasing density gradient extending radially outward from hub 602 to radially outermost ring 612. Each ring of the plurality of intermediate rings 614 may be a composite material including a predetermined plurality of carbon fibers impregnated with a predetermined epoxy substance, wherein the predetermined plurality of carbon fibers is distributed to define the predetermined densities of each intermediate ring 614. Alternatively, each ring of the plurality of intermediate rings 614 may include a material that includes at least one metallic substance that is distributed to at least partially define the intermediate densities. Also, alternatively, the plurality of intermediate rings 614 may include any substance or combination of substances that enables operation of flywheel device 108 and inertial energy storage device 100 as described herein. In the exemplary embodiment, each ring of the plurality of rings 606 is coupled to each adjacent ring by an interference fit. In the exemplary embodiment, flywheel device 108 includes seven rings 606. Alternatively, flywheel device 108 includes any number of rings 606 that enables operation of flywheel device 108 and inertial energy storage device 100 as described herein.
Similarly, during operation of flywheel device 108, stress gradients 624, 626, and 628 are induced discretely in second ring 610, intermediate ring 614, and radially outermost ring 612. Each of stress gradients 624, 626, and 628 is partially defined by a peak stress vector 630, 632, and 634 respectively. The steepness of each of stress gradients 620, 624, 626, and 618 is substantially similar regardless of increasing distance from hub 602. Moreover, the magnitudes of peak stress vectors 622, 630, 632, and 624 are substantially similar regardless of increasing distance from hub 602. Therefore, all rings 606 may be stressed to predetermined limits substantially uniformly, therefore a plurality of rings 606 will not be significantly under-stressed.
Moreover, a rotational velocity V and/or an outer diameter D is not limited by the material properties of any one ring 606, but such speed V and diameter D limits are substantially the same for all rings 606. Therefore, rings 606 could rotate at a similar rotational velocity V with a great average density to increase the inertia of flywheel device 108. Furthermore, the thickness of rings 606 may be determined such that the maximum allowable hoop stress associated with the predetermined materials is attained at a predetermined speed. Therefore, for a given volume, the increased total inertia increases the energy that can be stored in the given space.
The above-described flywheel device for an inertial energy storage device provides a cost effective and reliable method for increasing an energy storage capability of such devices. Specifically, the devices described herein include a rotating structure having multiple layers, or rings formed of differing materials. Such multi-layered functional grading defines a decreasing density gradient extending radially outward from the center of the flywheel device and facilitates uniform radial and hoop stress management for each layer. Therefore, the exemplary flywheels described herein facilitate storage of increased inertial energy and facilitate an increase in energy storage density. Moreover, a smaller number of energy storage units are required to attain a large energy storage capacity, thereby facilitating an increased reliability of power supply with lower installation and operating costs.
Exemplary embodiments of systems and methods for flywheel devices for inertial energy storage devices are described above in detail. The system and methods are not limited to the specific embodiments described herein, but rather, components of systems and/or steps of the method may be utilized independently and separately from other components and/or steps described herein. For example, the systems and methods may also be used in combination with other rotary systems and methods, and are not limited to practice with only the flywheel devices for inertial energy storage devices as described herein. Rather, the exemplary embodiment can be implemented and utilized in connection with many other rotary system applications.
Although specific features of various embodiments of the invention may be shown in some drawings and not in others, this is for convenience only. Moreover, references to “one embodiment” in the above description are not intended to be interpreted as excluding the existence of additional embodiments that also incorporate the recited features. In accordance with the principles of the invention, any feature of a drawing may be referenced and/or claimed in combination with any feature of any other drawing.
This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims.