The present disclosure is generally directed to a gas turbine. Specifically, the gas turbine or other turbomachine provided herein may include features that, either alone or in combination, reduce modal coupling of combustion dynamics.
Combustors are commonly used in industrial and commercial operations to ignite fuel to produce combustion gases having a high temperature and pressure. For example, gas turbines and other turbo-machines typically include one or more combustors to generate power or thrust. A typical gas turbine used to generate electrical power includes an axial compressor at the front, multiple combustors around the middle, and a turbine at the rear. Ambient air enters the compressor as a working fluid, and the compressor progressively imparts kinetic energy to the working fluid to produce a compressed working fluid at a highly energized state. The compressed working fluid exits the compressor and flows through one or more fuel nozzles and/or tubes in the combustors where the compressed working fluid mixes with fuel before igniting to generate combustion gases having a high temperature and pressure. The combustion gases flow to the turbine where they expand to produce work. For example, expansion of the combustion gases in the turbine may rotate a shaft connected to a generator to produce electricity.
Combustion dynamics can result from the interaction of one or more acoustic modes of a combustor and the heat release fluctuations inherent in the combustion process. For example, acoustic pressure pulsations may cause a mass flow fluctuation at a fuel port, which then results in a fuel-air ratio fluctuation in the combustion flame. If the resulting fuel/air ratio fluctuation and the acoustic pressure pulsations have a certain phase behavior (e.g., approximately in-phase), a self-excited feedback loop may result. The combustion dynamics resulting from this, as well as other mechanisms, may reduce the useful life of the combustors. For example, the combustion dynamics may produce pressure pulsations inside the fuel nozzles and/or combustion chambers that may adversely affect the high cycle fatigue life of these components, the stability of the combustion flame, the design margins for flame holding, and/or undesirable emissions.
In addition, at particular operating conditions, combustion dynamics at specific frequencies and with sufficient amplitudes, which are in phase and coherent, may produce undesirable sympathetic vibrations in the turbine and/or other downstream components. In the context of this disclosure, “coherence” refers to the strength of the linear relationship between two (or more) dynamic signals, which is strongly influenced by the degree of frequency overlap between them. Typically, this problem of unwanted vibrations in downstream components that may result from in-phase, coherent combustion tones is managed by combustor tuning that limits the amplitude of the combustion dynamics in a particular frequency band. However, combustor tuning may unnecessarily limit the operating range of the combustor.
As an alternative to combustor tuning, reducing the coherence and, therefore, modal coupling of combustion dynamics may also reduce unwanted vibrations in downstream components. For instance, altering the frequency relationship between two or more combustors may reduce the coherence of the combustion system as a whole, diminishing any combustor-to-combustor coupling. As the combustion dynamics frequency in one combustor is driven away from that of the other combustors, modal coupling of combustion dynamics is reduced, which, in turn, reduces the ability of the combustor tone to cause a vibratory response in downstream components. An alternate method of reducing modal coupling is to reduce the constructive interference of the fuel nozzles within the same combustor, reducing the amplitudes in each combustor, and preventing or reducing combustor-to-combustor coupling.
Therefore, a gas turbine that reduces the modal coupling of combustion dynamics by altering the frequency difference between two or more combustors would be useful for enhancing the thermodynamic efficiency of the combustors, protecting against accelerated wear, promoting flame stability, and/or reducing undesirable emissions over a wide range of operating levels, without detrimentally impacting the life of the downstream hot gas path components.
Aspects and advantages of the invention are set forth below in the following description, or may be obvious from the description, or may be learned through practice of the invention.
The various embodiments of the present disclosure are directed to a gas turbine that includes a compressor section; a turbine section; and first and second combustors arranged about an axis between the compressor section and the turbine section. Each combustor includes a cap assembly that extends radially across at least a portion of the combustor, at least one fuel nozzle (or fuel nozzle group) that provides fluid communication through the cap assembly, and a liner that defines a combustion chamber downstream from the fuel nozzles. Each fuel nozzle includes a fuel port that provides fluid communication from the fuel nozzle into the combustion chamber. The fuel port is located at an axial distance from the combustion chamber.
In a first embodiment, the system includes a primary fuel circuit having a primary fuel manifold and a number of fuel supply lines extending from the manifold to the fuel nozzle groups. A first fuel supply line extends to the primary fuel nozzle group of the first combustor, while a second fuel supply line extends to the primary fuel nozzle group of the second combustor. A first primary orifice plate, which defines a first effective area, is disposed within the first fuel supply line upstream from the primary fuel nozzle group in the first combustor. A second primary orifice plate, which defines a second effective area substantially different from the first effective area, is disposed within the second fuel supply line upstream from the primary fuel nozzle group in the second combustor. Further, the fuel port of the fuel nozzles in the primary fuel nozzle group in the first combustor is located at a first axial distance from the combustion chamber, and the fuel port of the fuel nozzles in the primary fuel nozzle group in the second combustor is located at a second axial distance from the combustor chamber, the second axial distance being substantially different from the first axial distance.
In another embodiment, the system includes a primary fuel circuit having a primary fuel manifold and a number of fuel supply lines extending from the manifold to the fuel nozzle groups. A first fuel supply line extends to the primary fuel nozzle group of the first combustor, while a second fuel supply line extends to the primary fuel nozzle group of the second combustor. A first primary orifice plate, which defines a first effective area, is disposed within the first fuel supply line upstream from the primary fuel nozzle group in the first combustor. A second primary orifice plate, which defines a second effective area substantially different from the first effective area, is disposed within the second fuel supply line upstream from the primary fuel nozzle group in the second combustor. Further, the combustors include at least one fuel injector located downstream of the primary fuel nozzles and an outer sleeve at least partially surrounding the liner and defining therethrough a set of flow openings. The effective cross-sectional area of the fuel injector in the second combustor is larger than the effective cross-sectional area of the fuel injector in the first combustor, while the collective effective area of the set of flow openings in the first combustor is larger than the collective effective area of the set of flow openings in the second combustor.
In yet another embodiment, the fuel nozzle of the primary fuel nozzle group in each combustor includes a center body having a diameter and an axial length, a burner tube circumferentially surrounding at least a portion of the axial length of the center body, and a fuel port that provides fluid communication from the fuel nozzle into the combustion chamber. The center body defines a center body diameter, and the burner tube defines a burner tube inner diameter. At least one of the center body diameter and the burner tube inner diameter in the first combustor is substantially different, along at least a portion of the length thereof, from the respective center body diameter and burner tube inner diameter in the second combustor.
Those of ordinary skill in the art will better appreciate the features and aspects of such embodiments, and others, upon review of the specification.
A full and enabling disclosure of the present invention, including the best mode thereof to one skilled in the art, is set forth more particularly in the remainder of the specification, including reference to the accompanying figures, in which:
Reference will now be made in detail to various embodiments of the present invention, one or more examples of which are illustrated in the accompanying drawings. The detailed description uses numerical and letter designations to refer to features in the drawings. Like or similar designations in the drawings and description have been used to refer to like or similar parts of the invention.
As used herein, the terms “first,” “second,” “third,” and the like may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components. Similarly, the terms “primary,” “secondary,” and “tertiary” may be used to distinguish one component from another and are not intended to signify location or importance of the individual components.
The terms “upstream,” “downstream,” “radially,” and “axially” refer to the relative direction with respect to fluid flow in a fluid pathway. For example, “upstream” refers to the direction from which the fluid flows (e.g., through the fuel nozzles), and “downstream” refers to the direction to which the fluid flows (e.g., toward the turbine section). Similarly, “radially” refers to the relative direction substantially perpendicular to the fluid flow, and “axially” refers to the relative direction substantially parallel to the fluid flow.
Each example is provided by way of explanation of the invention, not limitation of the invention. In fact, it will be apparent to those skilled in the art that modifications and variations can be made in the present invention without departing from the scope or spirit thereof. For instance, features illustrated or described as part of one embodiment may be used on another embodiment to yield a still further embodiment. Thus, it is intended that the present invention covers such modifications and variations as come within the scope of the appended claims and their equivalents.
The present disclosure presents various embodiments of systems and methods for reducing modal coupling of combustion dynamics. The systems and methods may be implemented in a gas turbine having multiple combustors, and each combustor may include one or more fuel nozzles axially aligned with a combustion chamber so that the fuel nozzles may mix fuel with a compressed working fluid (e.g., air) prior to combustion. The system and method may further include one or more fuel injectors downstream from the fuel nozzles that provide fluid communication through a liner that circumferentially surrounds each combustion chamber.
The gas turbine may include one or more different mechanisms for reducing coherence and, therefore, the modal coupling of the combustion dynamics, including mechanisms that produce a different convective time, fuel flow, and/or compressed working fluid flow through at least one fuel nozzle or fuel injector. As a result, the frequency relationship between two or more combustors may be altered to reduce the coherence of the combustion system as a whole and to diminish any combustor-to-combustor coupling. This frequency disruption may reduce the ability of the combustor tone to cause a vibratory response in downstream components and may also encourage destructive interference from combustor-to-combustor, reducing the amplitudes of the combustion dynamics. In some instances, two or more mechanisms for reducing coherence may be used in conjunction with one another.
Although exemplary embodiments of the present invention will be described generally in the context of combustion dynamics in a gas turbine for purposes of illustration, one of ordinary skill in the art will readily appreciate that embodiments of the present invention may be applied to any combustion dynamics and are not limited to a gas turbine unless specifically recited in the claims.
Referring now to the drawings, wherein identical numerals indicate the same elements throughout the Figures,
The majority of the compressed working fluid 38 flows through a compressor discharge plenum 40 to one or more combustors 42 in the combustion section 16, two of which are illustrated. The combustors 42 may be any type of combustor known in the art, and the present invention is not limited to any particular combustor design. The number of combustors 42 may vary. The combustors 42 are arranged circumferentially about a shaft 54, such that the inlet ends of the combustors 42 are co-planar and the outlet ends of the combustors 42 are co-planar. Said differently, the combustors 42 are “axially aligned,” in that the combustors 42 occupy the same axial position along the longitudinal axis of the turbine (represented by the shaft 54).
A fuel supply 44 in fluid communication with each combustor 42 supplies a fuel to each combustor 42. Possible fuels may include, for example, blast furnace gas, coke oven gas, natural gas, methane, vaporized liquefied natural gas (LNG), hydrogen, syngas, butane, propane, olefins, diesel, petroleum distillates, and combinations thereof. The compressed working fluid 38 mixes with the fuel and ignites to generate combustion gases 46 having a high temperature and pressure.
The combustion gases 46 flow along a hot gas path through a turbine 48 in the turbine section 18 where they expand to produce work. Specifically, the combustion gases 46 may flow across alternating stages of stationary nozzles 50 and rotating buckets 52 in the turbine 48. The stationary nozzles 50 redirect the combustion gases 46 onto the next stage of rotating buckets 52, and the combustion gases 46 expand as they pass over the rotating buckets 52, causing the rotating buckets 52 to rotate. The rotating buckets 52 are connected to the shaft 54, which is coupled to the compressor 30 such that rotation of the shaft 54 drives the compressor 30 to produce the compressed working fluid 38. Alternately or in addition, the shaft 54 may connect to a generator 56 for producing electricity. Exhaust gases 58 from the turbine section 18 flow through the exhaust section 20 prior to release to the environment.
A liner 72 circumferentially surrounds at least a portion of the combustion chamber 68, and a transition duct 74 downstream from the liner 72 may connect the combustion chamber 68 to the inlet of the turbine 48. Alternately, the liner 72 and the transition duct 74 may be provided as a single, unitary component. A flow sleeve 80 may circumferentially surround the liner 72, defining an annular passage between the flow sleeve 80 and the liner 72 at the upstream end of the combustor 42. Similarly, an impingement sleeve 76 may circumferentially surround the transition duct 74, defining an annular passage between the impingement sleeve 76 and the transition duct 74 at the downstream end of the combustor 42. One or both of the flow sleeve 80 and the impingement sleeve 76 may be considered an “outer sleeve.” The respective upstream and downstream annular passages are fluidly connected to one another, such that an annular passage 82 is defined radially outward of the liner 72 and the transition duct 74 and extends a majority of the length of the combustor 42.
The compressed working fluid 38 may pass through a number of flow openings 78 located in the outer sleeve (i.e., the impingement sleeve 76 and/or flow sleeve 80) and into the annular passage 82. The flow openings 78 may be circular, slots, and/or other shapes and may direct the working fluid flow through the impingement sleeve 76 or flow sleeve 80 in a perpendicular direction relative to the impingement sleeve 76 or flow sleeve 80, or at some other angle. Further, the flow openings 78 may be of different sizes and/or of different numbers. The “collective effective area” of the flow openings 78 is the combined area through which the working fluid 38 can pass and may be calculated as the total (or sum) cross-sectional area of the flow openings 78 multiplied by the coefficient of flow. The coefficient of flow is the ratio of the actual and theoretical maximum flows through the flow openings 78.
The compressed working fluid 38 cools the surface of the transition duct 74 and the liner 72, as it travels in the upstream direction toward the end cover 62. When the compressed working fluid 38 reaches the end cover 62, the compressed working fluid 38 reverses direction to flow through the fuel nozzles 70, where it is introduced with fuel into the combustion chamber 68.
Although generally shown as cylindrical, the radial cross-section of the fuel nozzles 70 may be any geometric shape, and the present invention is not limited to any particular radial cross-section. In addition, various embodiments of the combustor 42 may include different numbers and arrangements of fuel nozzles 70 in the cap assembly 64, and
By way of example and not limitation, the center tube bundle nozzle 70 shown in
Within each combustor, the fuel nozzles 70 may be arranged in groups of one or more fuel nozzles 70, which will be referred to herein as a “primary fuel nozzle group”, a “secondary fuel nozzle group,” and a “tertiary fuel nozzle group.” These designations are provided wholly to facilitate a discussion of the relative groups and in no way should be interpreted as imparting greater (or lesser) importance to any particular group.
In the exemplary configurations shown in
The fuel nozzle groupings 70 may be arranged to facilitate multiple fueling regimes over the range of operations. For example, in the exemplary arrangements shown in
During base load operations, fuel may be supplied to each fuel nozzle 70 shown in
An overlap between the frequency of the combustion dynamics and the downstream component resonant frequency may result in unwanted vibration of the downstream components when an in-phase and coherent relationship between the combustion dynamics of two or more combustors 42 exists. The present disclosure includes various mechanisms for reducing the coherence or modal coupling of the combustion dynamics produced by the combustors 42 to reduce unwanted vibrations in hot gas path components downstream from the combustion section 16. In particular embodiments, the mechanisms may include structures for varying the flow of fuel and/or compressed working fluid 38 through the head end 66 of the combustors 42 and/or for varying the convective time between two or more fuel nozzles 70 within the same combustor 42 or between two or more combustors 42. As used herein, “convective time” (often represented by the Greek letter Tau) refers to the period of time between when the fuel is injected through the fuel nozzles 70 and when the fuel reaches the combustion chamber 68 and ignites. Therefore, convective time is a function of both the amount of the airflow through the head end 66, as well as the axial distance from the fuel injection location to the flame zone.
Of specific interest for the purposes described herein is the resulting relationship between combustion dynamics frequency and the convective time. Generally, there is an inverse relationship between convective time and frequency: that is, when the convective time increases, the frequency of the combustion instabilities decreases; and when the convective time decreases, the frequency of the combustion instabilities increases. A shift in the convective time in one or more combustors causes a shift in the combustion dynamic frequency of the one or more combustors away from that of the other combustors. Consequently, the coherence and, therefore, modal coupling of the combustors 42 may be reduced. In this manner, the present systems and methods may reduce unwanted vibrations in hot gas path components downstream from the combustion section 16 over a wide range of operating levels.
The annular passage 96 defined as the space between the center body 92 and the burner tube 94 has an effective area 122. The effective area 122 may be defined as the net area through which the compressed working fluid 38 can pass through the fuel nozzle 70 and may be calculated as the total minimum cross-sectional area in the fuel nozzle 70 multiplied by the coefficient of flow. The coefficient of flow is the ratio of the actual and theoretical maximum flows through the fuel nozzle 70.
One or more swirler vanes 98 may extend radially between the center body 92 and the burner tube 94, and the swirler vanes 98 may be angled or curved to impart swirl to the compressed working fluid 38 flowing through the annular passage 96 between the center body 92 and the burner tube 94. As is conventionally understood, the swirler vanes 98 have leading edges and trailing edges. The swirler vanes 98 and/or the center body 92 may include one or more fuel ports 100. The fuel ports 100 provide fluid communication for the fuel to flow through the center body 92 and/or swirler vanes 98 into the annular passage 96, where the fuel mixes with the compressed working fluid 38 upstream of the combustion chamber 68. The fuel/air mixture is then combusted in the combustion chamber 68 to produce combustion gases 46.
The combustion process in the combustion chamber 68 (as seen in
As previously discussed, the resulting combustion dynamics frequencies will be, at least in part, a function of the convective times for the fuel nozzles 70 and, therefore, will be dependent, in part, on the axial distances from the fuel port(s) 100 of the center body 92, the fuel port(s) 100 of the swirler vanes 98, and/or the leading edge of the swirler vanes 98 to the flame zone in the combustion chamber 68 (i.e., the end of the burner tubes 94). These resulting combustion dynamics frequencies may be adjusted and/or tuned in one or more fuel nozzles 70 to affect the combustion dynamics associated with the entire combustor 42.
In the particular embodiment shown in
As shown in
The constructive and potentially destructive interference between the fuel nozzles 70 depends on the combination of convective times of the individual fuel nozzles 70 within the combustor 42. Such interference also affects the frequency of the resulting combustion dynamics in any one combustor 42.
One of ordinary skill in the art will readily appreciate that multiple combinations of variations in the axial distances 102 between the combustion chamber and one or more of the the swirler vanes 98, the fuel ports 100 in the swirler vanes 98, and the fuel ports 100 in the center body 92 are possible to achieve a desired combustion dynamics frequency for each fuel nozzle 70 and/or desired combustion dynamics for the particular combustor 42. For example, in particular embodiments, the axial distances 102 between the fuel ports 100 and/or the swirler vanes 98 and the combustion chamber 68 may be substantially the same or substantially different for some or all of the fuel nozzles 70 in a particular combustor 42, and the present invention is not limited to any particular combination of axial distances 102 unless specifically recited in the claims.
In the particular variation shown in
As shown in
The upstream and downstream surfaces 104, 106 may at least partially define a fuel plenum 114 inside the cap assembly 64. A fuel conduit 116 may extend from the casing 60 and/or the end cover 62 through the upstream surface 104 to provide fluid communication for fuel to flow into the fuel plenum 114. One or more of the tubes 108 may include a fuel port 118 that extends through the tubes 108 to provide fluid communication from the fuel plenum 114 into the tubes 108. The fuel ports 118 may be angled radially, axially, and/or azimuthally to project and/or impart swirl to the fuel flowing through the fuel ports 118 and into the tubes 108. In some aspects, the fuel ports 118 of each tube 108 may be perpendicular to a longitudinal axis of the tube 108. One or more fuel ports 118 may be used for each tube 108.
The compressed working fluid 38 (e.g., air or oxidant) flows into the tube inlets 110, and fuel from the fuel conduit 116 may flow into the fuel plenum 114 around the tubes 108 to provide convective cooling to the tubes 108 before flowing through the fuel ports 118 and into the tubes 108 to mix with the compressed working fluid 38. The mixture of fuel and working fluid then flows through the tube outlets 112 and into the combustion chamber 68.
Incorporating tube-bundle nozzles 70 into the combustor 42, instead of or in addition to the swirler-type nozzles 70, results in similar combustion dynamics challenges. As described above, the combustion process in the combustion chamber 68 may produce heat release fluctuations that may couple with one or more acoustic modes of the combustor 42, generating the combustion dynamics. One specific mechanism by which the combustion dynamics may be produced occurs when the acoustic pulsations driven by the heat release fluctuations travel upstream to the fuel ports 118. The acoustic pulsations may interfere with the fuel flow through the fuel ports 118 and create fluctuations in the concentration of the fuel/working fluid mixture that is flowing downstream toward the combustion flame. This fluctuation in the fuel/working fluid ratio travels downstream to the flame region where it can cause a heat release fluctuation. Provided the resulting heat release fluctuation is approximately in-phase with the pressure fluctuations, it will further encourage heat release fluctuations, completing a continuous feedback loop. The time for one cycle of the feedback loop is the convective time.
As previously discussed, the resulting combustion dynamics frequencies will be, at least in part, a function of the convective times for the tubes 108 and, therefore, will be dependent, in part, on the axial distances from the fuel port(s) 118 to the flame zone in the combustion chamber 68 (i.e., the tube outlets 112). The resulting combustion dynamics frequencies may be adjusted and/or tuned in one or more tubes 108 and/or fuel nozzles 70 to affect the combustion dynamics associated with the individual combustor 42.
In the particular embodiment shown in
For each fuel nozzle 70 shown in
The constructive and potentially destructive interference between the fuel nozzles 70 depends on the combination of convective times of the individual fuel nozzles 70 within the combustor 42. Such interference affects the frequency of the resulting combustion dynamics in any one combustor 42.
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the axial distances 120 between the fuel ports 118 and the combustion chamber 68 are possible to achieve a desired combustion dynamics frequency for each fuel nozzle 70 and/or desired combustion dynamics for the particular combustor 42. For example, in particular embodiments, the axial distances 120 between the fuel ports 118 and the combustion chamber 68 may be substantially the same or substantially different for some or all of the tubes 108 in a particular combustor 42, and the present invention is not limited to any particular combination of axial distances 120 unless specifically recited in the claims.
The combustion dynamics associated with multiple combustors 42 incorporated into the gas turbine 10 may either constructively or destructively interfere with one another to increase or decrease the amplitude and/or coherence of the combustion dynamics associated with the gas turbine 10.
As shown in
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the axial distances 102 between the combustion chamber 68 and the swirler vanes 98, between the combustion chamber 68 and the fuel ports 100 on the swirler vanes 98, and/or between the combustion chamber 68 and the fuel ports 100 on the center body 92 may be employed to produce a combustion dynamics frequency in one or more combustors 42 that is substantially different from the combustion dynamics frequency in the other combustors 42. For example, in particular embodiments, one or more axial distances 102 between the fuel ports 100 and the combustion chamber 68 and/or the swirler vanes 98 and the combustion chamber 68 may be substantially the same or substantially different for one or more of the fuel nozzles 70 in a particular combustor 42 compared to at least one other combustor 42, as long as the axial distances 102 are not all the same for all fuel nozzles 70 in all combustors 42. Accordingly, the present disclosure is not limited to any particular combination of axial distances 102, unless specifically recited in the claims.
The variation shown in
With the axial positions of the fuel ports 100 and the swirler vanes 98 with respect to the end cover 62 repeated in two or more combustors 42, the difference in the axial lengths 128 between the two or more combustors 42 produces a corresponding difference in the axial distances 102 between the fuel ports 100 and the combustion chamber 68 and the swirler vanes 98 and the combustion chamber 68 for two or more combustors 42. Said differently, for the combustor 42 having a longer axial cap length, the axial distances 102 between the combustion chamber 68 and the swirler vanes 98 and fuel ports 100 is longer. The differences in axial distances 102 between two or more combustors 42 produces a corresponding difference in the convective times and, therefore, in the combustion dynamics frequencies between the two or more combustors 42. As the combustion dynamics frequency in one or more combustors 42 is driven away from that of the other combustors 42, coherence and, therefore, modal coupling of combustion dynamics may be reduced.
It should be noted that the axial positions of the fuel ports 100 and swirler vanes 98 with respect to the end cover 62 do not necessarily need to be repeated for each combustor 42, provided that the combination of the axial positions of the fuel ports 100 and swirler vanes 98 with respect to the end cover 62 and the cap length 128 results in a difference in convective time and, therefore, frequency between at least two combustors 42. For example, one or more axial distances 102 between the fuel ports 100 and the combustion chamber 68 and/or the swirler vanes 98 and the combustion chamber 68 may be substantially different for one or more of the fuel nozzles 70 in a particular combustor 42 compared to at least one other combustor 42.
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the axial distances 102 between the fuel ports 100 and the combustion chamber 68 and/or the swirler vanes 98 and the combustion chamber 68 are possible to produce a combustion dynamics frequency in one combustor 42 that is different from the combustion dynamics frequency in at least one other combustor 42. It should also be appreciated that while reference is made to single combustors 42 that are oppositely disposed from one another, the combustors may be grouped into sub-sets having substantially the same axial distances 102 and cap lengths 128 (e.g., “Can A” combustors and “Can B” combustors) and may be positioned at any location in the combustor array. The present invention is not limited to any particular combination of axial distances 102 or axial cap lengths 128, unless specifically recited in the claims.
As shown in
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the axial distances 120 between the fuel ports 118 and the combustion chamber 68 are possible to produce a combustion dynamics frequency in one combustor 42 that is substantially different from the combustion dynamics frequency in at least one other combustor 42. For example, one or more axial distances 120 between the fuel ports 118 and the combustion chamber 68 may be the same for one or more of the fuel nozzles 70 in a particular combustor 42 as compared to the other combustor 42, as long as the axial distances 120 are not all substantially the same for all fuel nozzles 70 in all combustors 42. It is also contemplated that the axial distances 102 between the fuel ports 100 of the center nozzle 70 and the combustion chamber 38 and/or the axial distances between the swirler vanes 98 and the combustion chamber 38 in one combustor 42 may be substantially different from those in one or more other combustors 42, either in addition to or instead of varying the axial distances 120. Thus, the present invention is not limited to any particular combination of axial distances 102, 120, unless specifically recited in the claims.
The embodiment shown in
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the axial distances 120 between the fuel ports 118 and the combustion chamber 68 are possible to produce a combustion dynamics frequency in one combustor 42 that is substantially different from the combustion dynamics frequency in the other combustor 42. For example, in particular embodiments, one or more axial distances 120 between the fuel ports 118 and the combustion chamber 68 may be the same for one or more of the tubes 108 and/or fuel nozzles 70 in a particular combustor 42 compared to the other combustor 42, as long as the axial distances 120 are not all the same for all fuel nozzles 70 in all combustors 42.
Further, either in addition to or instead of varying the axial distances 120 and/or the axial cap lengths 128, the axial distances 102 between the fuel ports 100 of the center nozzle 70 and the combustion chamber 38 and/or the axial distances between the swirler vanes 98 and the combustion chamber 38 in one combustor 42 may be substantially different from those in one or more other combustors 42. As before, the present invention is not limited to any particular combination of axial distances 102, axial distances 120, and/or axial cap lengths 128, unless specifically recited in the claims.
Alternately, or in addition, to the approaches provided herein, the modal coupling of the combustion system can also be altered by changing the air side effective area of one or more of the fuel nozzles 70. The amount of fluid flow through the fuel nozzles 70 is proportional to an effective area 122 of the annular passage 96 of the fuel nozzles 70 defined by the center body 92 and the shroud 94, shown in
By varying the amount of fluid flow through the individual fuel nozzles 70, the fuel/air ratio of the fuel will be changed, which can vary the combustion dynamics frequency for that fuel nozzle.
In these particular embodiments, the combustion dynamics and/or modal coupling of the combustors 42 may be reduced by adjusting the fluid flow of the compressed working fluid 38 and/or the mixture of compressed working fluid 38 and fuel through individual fuel nozzles 70 within the same combustor 42. The fuel nozzles 70 in the same combustor 42 may be provided with different air side effective areas. For example, one or more fuel nozzles 70 in the same combustor 42 may have a center body 92 with a substantially different size and/or shape along at least a portion of the length of the center body 92. Alternately, or in addition, one or more fuel nozzles 70 in the same combustor may be provided with a burner tube 94 having a substantially different size and/or shape along at least a portion of the length of the burner tube 94.
These modifications in the dimensions of the center body 92 and/or the burner tube 94 result in a different-sized or shaped annular passage 96 along at least a portion of the length of the annular passage 96, thereby varying the amount of fluid flow for one or more fuel nozzles 70 compared to the other fuel nozzles 70. As the amount of fluid flow through the fuel nozzles 70 varies, the fuel/air ratio of the fuel nozzle 70 and, therefore, the combustion dynamics frequency may also vary. Further tuning of the fuel/air ratio of the fuel nozzles 70 may be achieved by biasing fuel flow to or away from the same fuel nozzle 70, either within a fuel circuit or from fuel circuit to fuel circuit. Biasing of the fuel flow may not be necessary in all cases, but, in some cases, may be desirable to minimize the impact to the combustor's production of noxious emissions.
In
As a result, the combustion dynamics frequency generated by the fuel nozzles 70 with the larger center bodies 92 will be substantially different from that generated by the fuel nozzles 70 with the smaller center bodies 92, reducing or precluding constructive interference between the fuel nozzles 70 and reducing the amplitude of the combustion dynamics. Reducing the amplitude sufficiently may reduce the coherence and, therefore, the modal coupling of the combustion dynamics in the combustors 42. The frequency of the resulting combustion dynamics in any one combustor 42 is the result of the constructive and destructive interference between the fuel nozzles 70 and depends on the specific combination of fuel/air ratios of the fuel nozzles 70.
As noted above, a reduction of the annular passage 96 may result in a reduction of working fluid 38 flowing through the annular passage of the fuel nozzle 70. Further tuning of the fuel/air ratio of the fuel nozzles 70 may be achieved by biasing fuel flow to or away from the same fuel nozzle 70, either within a fuel circuit or from fuel circuit to fuel circuit. Biasing of the fuel flow may not be necessary in all cases, but, in some cases, may be desirable to minimize the impact to the combustor's production of noxious emissions.
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the diameter of the center bodies 92 are possible to achieve a desired combustion dynamics frequency for each fuel nozzle 70 and/or desired combustion dynamics for the particular combustor 42. For example, the diameter of the center bodies 92 may be substantially the same or substantially different for some or all of the fuel nozzles 70 in a particular combustor 42, and the present invention is not limited to any particular combination of center body 92 diameters, unless specifically recited in the claims.
Alternately, or in addition to,
To create a smaller inner diameter for the burner tube 94, the burner tube 94 may be made thicker, or the burner tube 94 may be fabricated to have a smaller diameter and the same wall thickness as the burner tubes 94 of the other fuel nozzles 70, along at least a portion of their length. In
As a result, the combustion dynamics frequency generated for the fuel nozzles 70 with the different inner diameter burner tubes 94 will be substantially different, reducing or precluding constructive interference between the fuel nozzles 70. Reducing the amplitude sufficiently may reduce the coherence and, therefore, the modal coupling of the combustion dynamics in the combustors 42. The frequency of the resulting combustion dynamics in any one combustor 42 is the result of the constructive and destructive interference between the fuel nozzles 70 and depends on the specific combination of the fuel/air ratios of the fuel nozzles 70.
As noted with respect to
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the inner diameter of the burner tubes 94 are possible to achieve a desired combustion dynamics frequency for each fuel nozzle 70 and/or desired combustion dynamics for the particular combustor 42. For example, the inner diameter of the burner tubes 94 may be substantially the same or substantially different for some or all of the fuel nozzles 70 in a particular combustor 42. Thus, the present invention is not limited to any particular combination of the inner diameters of the burner tubes 94, unless specifically recited in the claims.
In
According to the inventive aspect provided in
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the diameter of the tubes 108 in each fuel nozzle 70 are possible to achieve a desired combustion dynamics frequency for each fuel nozzle 70 and/or desired combustion dynamics for the particular combustor 42. For example, the diameter of the tubes 108 may be substantially the same or substantially different for some or all of the fuel nozzles 70 in a particular combustor 42, and the present invention is not limited to any particular combination of diameters of tubes 108, unless specifically recited in the claims.
The combustion dynamics associated with multiple combustors 42 incorporated into the gas turbine 10 may either constructively or destructively interfere with one another to increase or decrease the amplitude and/or coherence of the combustion dynamics associated with the gas turbine 10.
As shown in
In the exemplary arrangement shown in
The difference in cross-sectional effective area 122 varies the amount of fluid flow through the annular passage 96 of the modified fuel nozzle 70, which varies the fuel/air ratios between the various fuel nozzles 70 in one or more combustors 42. Therefore, the resulting differences in the cross-sectional areas between the annular passages 96 of the fuel nozzles 70 produce corresponding differences in the combustion dynamic frequencies between the combustors 42 to decouple the combustion dynamics frequencies of the combustors 42.
As noted with respect to
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the center body 92 diameters are possible to produce a combustion dynamics frequency in one or more combustors 42 that is different from the combustion dynamics frequency in the other combustors 42. For example, one or more center body 92 diameters may be substantially the same or substantially different for one or more of the fuel nozzles 70 in a particular combustor 42 compared to at least one other combustor 42, as long as the center body 92 diameters are not all the same for all fuel nozzles 70 in all combustors 42. Thus, the present invention is not limited to any particular combination of center body 92 diameters, unless specifically recited in the claims.
As shown in
In the exemplary arrangement shown in
The difference in the inner diameters of the burner tubes 94 results in a different cross-sectional effective area 122 of the annular passage 96, which varies the amount of fluid flow through the annular passage 96. Changing the amount of the fluid flow through the annular passage 96 varies the fuel/air ratios between the various fuel nozzles 70 in one or more combustors 42, which varies the combustion dynamic frequencies between the combustors 42.
As noted previously, a reduction of the annular passage 96 may result in a reduction of working fluid 38 flowing through the annular passage of the fuel nozzle 70. Further tuning of the fuel/air ratio of the fuel nozzles 70 may be achieved by biasing fuel flow away to or from the same fuel nozzle 70, either within a fuel circuit or from fuel circuit to fuel circuit. Biasing of the fuel flow may not be necessary in all cases, but, in some cases, may be desirable to minimize the impact to the combustor's production of noxious emissions.
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the inner diameter of the burner tube 94 are possible to produce a combustion dynamics frequency in one or more combustors 42 that is different from the combustion dynamics frequency in the other combustors 42. For example, in particular embodiments, one or more burner tube 94 inner diameters may be substantially the same or substantially different for one or more of the fuel nozzles 70 in a particular combustor 42 compared to at least one other combustor 42, as long as the burner tube 94 inner diameters are not all the same for all fuel nozzles 70 in all combustors 42. As before, the present invention is not limited to any particular combination of burner tube 94 inner diameters, unless specifically recited in the claims.
As shown in
In the exemplary arrangement shown in
As noted above, a reduction of the annular passage 96 may result in a reduction of working fluid 38 flowing through the annular passage of the fuel nozzle 70. Further tuning of the fuel/air ratio of the fuel nozzles 70 may be achieved by biasing fuel flow to or away from the same fuel nozzle 70, either within a fuel circuit or from fuel circuit to fuel circuit. Biasing of the fuel flow may not be necessary in all cases, but, in some cases, may be desirable to minimize the impact to the combustor's production of noxious emissions.
One of ordinary skill in the art will readily appreciate from the teachings herein that multiple combinations of variations in the diameters of the tubes 108 in the fuel nozzles 70 are possible to produce a combustion dynamics frequency in one or more combustors 42 that is different from the combustion dynamics frequency in the other combustors 42. For example, in particular embodiments, the diameter of the tubes 108 may be the same or different for one or more of the fuel nozzles 70 in a particular combustor 42 compared to at least one other combustor 42, as long as the diameter of the tubes are not all the same for all fuel nozzles 70 in all combustors 42. Thus, the present invention is not limited to any particular combination of diameters of the tubes 108, unless specifically recited in the claims.
FIGS. 2 and 18-20 illustrate another approach to varying the convective time between combustors 42 by varying the flow rate of the compressed working fluid 38 through the head end 66 and fuel nozzles 70 for one or more combustors 42. As shown in
In the particular embodiment shown in
In some instances, the fluid passages 138 through the flow sleeve 80 may be upstream from the particular fuel injector 128. In other instances, the fluid passages 138 through the flow sleeve 80 may circumferentially surround each particular fuel injector 128, as in the particular configuration shown in
The cap 134 and the separate volume 136 created by the cap 134 may isolate the particular fuel injector 128 from the pressure and flow variations typically present in the compressor discharge plenum 40. In addition, in some instances, one or more flow passages 142 through the caps 134 may provide fluid communication from the compressor discharge plenum 40 directly into each separate volume 136. In this manner, the flow passages 142 may allow additional compressed working fluid 140 to flow directly into the volume 136 and bypass the annular passage 82 to increase the amount of compressed working fluid 38 diverted through the particular fuel injector 128.
It should be understood that the fuel injector 128 shown in
Regardless of the injector design, the amount of compressed working fluid 140 diverted through the fuel injectors 128 is directly proportional to an effective area 144 of the fuel injectors 128 for each combustor 42. The effective area 144 of each fuel injector 128 is the net area through which the diverted compressed working fluid 140 can pass into or out of the fuel injector 128 and may be calculated as the total minimum cross-sectional area in the fuel injector 128 multiplied by the coefficient of flow. The coefficient of flow is the ratio of the actual and theoretical maximum flows through the fuel injector 128.
For example, the effective area 144 of the fuel injector 128 of
The amount of compressed working fluid 38 that flows through the head end 66 and fuel nozzles 70 determines the convective time and, therefore, the combustion instability frequency associated with the combustors 42. The amount of compressed working fluid 140 diverted through the fuel injectors 128 reduces the amount of compressed working fluid 38 available to flow through the head end 66 and fuel nozzles 70, provided the total effective area of each combustor 42 is approximately the same. The effective area of each combustor can be maintained by compensating for a change in effective area of the fuel injectors 128 in a combustor 42 by a corresponding change in the effective area of the flow holes 78 through the impingement sleeve 76 and/or flow sleeve 80 in the same combustor 42.
In particular embodiments, the amount of compressed working fluid 140 diverted through the fuel injectors 128 and flow holes 78 may be different and/or adjusted for each combustor 42 to change the amount of compressed working fluid 38 that flows through the head end 66 and fuel nozzles 70 for each combustor 42. The different amounts of compressed working fluid 38 flowing through the head end 66 and fuel nozzles 70 of each combustor 42 produces different convective times and frequencies between combustors 42 to reduce the modal coupling of combustion dynamics.
As shown in
According to an aspect of the present disclosure, the set of fuel injectors 128 in a first combustor 42 (shown on the left side of
As the compressed working fluid 38 flows from the compressor discharge plenum 40 to each combustor 42, a portion of the compressed working fluid 140 flows through the fuel injectors 128 in the secondary combustion zone, and the remainder of the compressed working fluid 38 flows through the fuel nozzles 70 in the head end 66 of each combustor 42, as previously described with respect to
As previously discussed with respect to
As a result of these different effective areas, the volume and/or flow rate of compressed working fluid 38 available to flow through the fuel nozzles 70 at the head end 66 of the second combustor is greater than that available for the fuel nozzles 70 of the first combustor 42. As previously discussed with respect to
Although the first combustor 42 is shown with two fuel injectors 128 and the second combustor is shown with one fuel injector 128, it should be recognized that any number of fuel injectors 128 may be used in either combustor, provided the number of fuel injectors 128 in the first combustor is different from the number of fuel injectors 128 in the second combustor 42. Further, it should be appreciated that the fuel injectors 128 in the combustors 42 may be arranged with different circumferential spacing (that is, the fuel injectors 128 do not have to be oppositely disposed, or otherwise uniformly spaced, around the circumference of the combustor 42). Moreover, it is possible to vary the effective area of the injectors 128 in the first combustor 42 from the effective area of the injectors 128 in the second combustor 42 by modifying both the size and number of injectors 128.
As illustrated, each combustor 42 includes multiple fuel nozzles 70, and fuel supply lines 174, 178, and/or 176 provide fluid communication between the fuel supply 44 and the fuel nozzles 70. While a single fuel supply 44 is shown, it should be understood that two or more different supplies of the same or different fuels may be employed, if desired.
An overlap between the combustion instability frequency and the downstream component resonant frequency may result in unwanted vibration of the downstream components, particularly when an in-phase and coherent relationship exists between two or more combustors 42. Altering the fuel split through the fuel supply lines 174, 176, 178 between at least two combustors 42 varies the frequencies and/or amplitudes between at least two combustors 42. As a result of this combustor-to-combustor split bias, the embodiments of the present disclosure may reduce coherence and, therefore, modal coupling of the combustion dynamics between combustors 42.
To facilitate multiple fueling schemes over a range of operations, the fuel nozzles 70 are arranged into groups or sets. By way of example, the primary fuel nozzle group includes the center fuel nozzle 70, the secondary fuel nozzle group includes two non-adjacent fuel nozzles 70 radially outward of the center fuel nozzle, and the tertiary fuel nozzle group includes three fuel nozzles 70 radially outward of the center fuel nozzle 70. Other groupings of fuel nozzles 70 may instead be used, including groupings that include the center fuel nozzle 70 and one or more of the surrounding fuel nozzles 70. For each fuel nozzle group, one of the first, second, and third fuel supply lines 174, 178, 176 extends from one of the respective fuel manifolds 164, 168, 166 (as part of overall fuel circuits 84, 88, 86) and provides fluid communication to the respective groups of nozzles 70.
The fuel circuits 84, 86, 88 (shown initially in
During base load operations, all of the fuel lines 174, 176, 178 may be used to supply fuel to the fuel nozzles 70 in the combustors 42 (with respective fuel lines 174, 178, 176 supplying respective primary, secondary, and tertiary groupings of the fuel nozzles 70). Fuel flow may be reduced or completely eliminated from one or more groups of the fuel nozzles 70 during reduced or turndown operations, as dictated by the primary, secondary, and tertiary gas control valves 154, 158, 156 connected to the corresponding primary, secondary, and tertiary fuel manifolds 164, 168, 166. Furthermore, according to one aspect of the present disclosure, the relative fuel flow in each fuel circuit 84, 86, 88 may be varied at a given operating condition, while maintaining constant total fuel flow in each combustor 42, to alter the combustion dynamics amplitudes and/or frequencies and/or to alter the emissions generated by the combustion system 16.
Optionally, an orifice plate (184, 188, 186) is disposed along the fuel supply line between the fuel manifold (164, 168, 166) and the fuel nozzles 70 (as shown in
Specifically, an orifice plate 184, 188, 186 may be used to limit flow through the respective fuel supply lines 174, 178, 176 to one or more groups of fuel nozzles 70 in one or more combustors 42. As used herein, an “orifice plate” is defined as a plate having one or more holes, or orifices, therethrough, which limit fluid flow through the fuel supply line in which the orifice plate is installed.
In one exemplary embodiment, the orifice plates (184, 188, 186) produce a different fuel split for one or more groups of fuel nozzles 70 in one or more combustors 42. A change in the fuel nozzle pressure ratio and/or equivalence ratio resulting from differences in the fuel flow rate to a given fuel nozzle 70 or group of fuel nozzles 70 may directly affect the combustion instability frequency and/or amplitude in each combustor 42. As the frequency of the combustion dynamics in one or more combustors 42 is driven away from that of the other combustors 42, coherence and, therefore, modal coupling of the combustion dynamics are reduced. As a result, various embodiments of the present disclosure may reduce the ability of the combustor tone to cause a vibratory response in downstream components.
The holes in each orifice plate 184, 186, 188 collectively define an effective area 194, 196, 198 through the plate that determines the volume and mass flow of fluid (e.g., fuel) through the plate for a given differential pressure across the plate. The effective area 194, 196, 198 of each orifice plate 184, 186, 188 is the combined area through which the fuel can pass and may be calculated as the total cross-sectional area of the holes in the orifice plate 184, 186, 188 multiplied by the coefficient of flow. The coefficient of flow is the ratio of the actual and theoretical maximum flows through the orifice plate 184, 186, 188.
The effective area 194, 196, 198 for each orifice plate 184, 186, 188 may be different for each fuel supply line 174, 176, 178 based on the number of fuel nozzles 70 being fed by each fuel supply line 174, 176, 178, as well as the desired difference, or bias, in the fuel splits from a first combustor (e.g., 42A) to a second combustor (e.g., 42B). Changing the fuel split between the fuel nozzles 70 directly affects the frequency and/or amplitude of the combustion dynamics, and changing the frequency in one or more combustors 42 may reduce coherence and, therefore, modal coupling of combustion dynamics.
In the exemplary arrangement shown in
By way of further example, the primary orifice plate 184 in the fuel supply line 174 supplying a first combustor 42A may define a first effective area 194, while a primary orifice plate 184 in the fuel supply line 174 supplying a second combustor 42B may define a different effective area 194′, as compared to the effective area 194 of the primary orifice plate 184 associated with the first combustor 42A. Optionally, the primary orifice plate 184 in the fuel line 174 supplying a third combustor 42C may define yet another effective area 194″, which is different from the effective areas 194 and/or 194′. Additional primary orifice plates 184 having one or more effective areas 194 that are different from other effective areas 194, 194′, 194″ may also be used for other combustors 42 or combustor groups, if so desired. For the sake of clarity, the prime (′) and double prime (″) symbols have been omitted from
Similarly, the secondary orifice plate 188 in the fuel supply line 178 supplying a first combustor 42A may define a second effective area 198, while a secondary orifice plate 188 in the fuel supply line 178 supplying the second combustor 42B may define a different effective area 198′, as compared to the effective area 198 of the secondary orifice plate 198 associated with the first combustor 42A. Optionally, the secondary orifice plate 188 in the fuel line 178 supplying a third combustor 42C may define yet another effective area 198″, which is different from the effective areas 198 and/or 198′. Additional secondary orifice plates 188 having one or more effective areas 198 that are different from other effective areas 198, 198′, 198″ may also be used for other combustors 42 or combustor groups, if so desired.
The pattern of different effective areas may be similarly applied to the tertiary orifice plates 186, supplying fuel from the fuel supply lines 176 to yet another group of fuel nozzles 70 in each combustor 42. As described above, different combustors (e.g., 42A, 42B, 42C) are supplied by respective fuel supply lines 176, one or more of which may be provided with its own tertiary orifice plate 186. The tertiary orifice plate 186 supplying fuel to the first combustor 42A may define an effective area 196; the tertiary orifice plate 186 associated with the second combustor 42B may define an effective area 196′ different from the effective area 196; and, optionally, the tertiary orifice plate 186 associated with the third combustor 42C may define yet another effective area 196″, which is different from the effective areas 196 and/or 196′. Additional tertiary orifice plates 186 having one or more effective areas 196 that are different from other effective areas 196, 196′, 196″ may also be used for other combustors 42 or combustor groups, if so desired.
As a result, one or more orifice plates 184, 186188 varies the fuel splits between two or more combustors 42, which may alter the amplitude and/or frequency of the combustion dynamics between two or more combustors 42 to reduce coherence and modal coupling of combustion dynamics. In many cases, but not all, it may be desirable to maintain a similar total fuel flow to each combustor 42 to maintain a similar temperature of the combustion gases 46 generated by each combustor 42. In such cases, a similar total fuel flow to each combustor may be maintained by ensuring the sum of the effective areas 194, 196, 198 is the same, or approximately the same, for each combustor 42.
It should be understood that, although
Alternately, not all of the combustors 42 require an orifice plate (184, 186, 188). For instance, on some combustors 42 (e.g., 42A, 42B), the orifice plates 188 may be used on the fuel supply lines 178 supplying the secondary group of fuel nozzles 70. On others of the combustors 42 (e.g., 42C, 42D), the orifices plates 186 may be used on the fuel supply lines 176 supplying the tertiary group of fuel nozzles 70. The effective area 198 of the secondary orifice plates 188 may be different from the effective area 196 of the tertiary orifice plates 186. The combustors 42 having altered fuel flow by the inclusion of orifice plates 186, 188 may or may not be grouped in any particular pattern (e.g., adjacent or alternating).
In some limited circumstances, it may even be possible to achieve the desired frequency variation by installing orifice plates (e.g., 186) having different effective areas 196, 196′, etc. on only one of the fuel circuits (e.g., 86), assuming the frequency variation can be achieved with only a small variation in the exhaust temperature from combustor 42 to combustor 42.
One of ordinary skill in the art will readily appreciate from the teachings herein that the system 210 described and illustrated with respect to
As discussed with reference to
Many other combinations of the coherence-disrupting mechanisms described herein may be employed in a gas turbine system, including, without limitation:
The systems depicted in
By way of example and not limitation, a first group of the combustors 42 (e.g., 42A, 42C) may be adjusted and/or tuned using any of the embodiments, or a combination of any of the embodiments discussed with respect to
The commercial and technical advantages of the various embodiments described and illustrated with respect to
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 include 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 language of the claims.