A multi-degree-of-freedom pendulum type hydraulic wave energy power generation device

Abstract

The application discloses a multi-degree-of-freedom pendulum type hydraulic wave energy power generation device, and belongs to the field of power generation equipment. The device solves the problem that the wave power generation system in the prior art is easily damaged by sea waves and marine environment. In the technical scheme of the application, an internal power generation set is arranged in an oscillating buoy, and the internal power generation set comprises a base, a pendulum and a hydraulic energy capturing system. The pendulum is installed in the oscillating buoy and located above the base, and the pendulum swings along with the oscillation of the oscillating buoy. A pendulum support is installed below the pendulum and connected with the hydraulic energy capturing system. The swing of the pendulum is transmitted to the hydraulic energy capturing system through the pendulum support. A transducing system is installed on the base and transduces the hydraulic kinetic energy output by the hydraulic energy capturing system. The application has the advantages that the wave energy power generation device can absorb the energy of waves in multiple directions through multi-degree-of-freedom movement without being limited by the direction of the waves, and the hydraulic energy can be converted into electric energy.

Description

Technical Field

[0001] This invention relates to a multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, belonging to the field of wave power generation equipment. Background Technology

[0002] Energy is a vital material foundation for human life and social progress. The development of industrial technology has significantly increased global energy demand. The large-scale extraction and use of traditional fossil fuels has led to energy reserve crises and environmental pollution. Developing renewable energy is a crucial measure to solve these energy problems. Ocean energy refers to renewable energy sources in the ocean, and wave energy is one type. Wave energy reserves are vast, easily accessible, and clean. In recent years, wave energy has gradually become a focus of renewable energy development and utilization.

[0003] Wave energy devices are mainly classified into three types based on their technical principles: oscillating water column type, wave-overtaking type, and oscillating body type. The oscillating float type belongs to the oscillating body type and is usually a point absorption device. This type of device has developed rapidly in recent years. Compared with other types of wave energy power generation devices, the oscillating float type wave energy power generation device has a flexible structure, low construction cost, and high reliability.

[0004] Currently, most oscillating float-type wave energy generation devices only absorb energy in one direction, known as single-degree-of-freedom wave energy generation devices. Single-degree-of-freedom wave energy conversion devices only absorb wave energy in one direction, while the energy from waves in other directions remains unutilized, resulting in low wave energy utilization. Furthermore, because the device does not absorb energy from waves in other directions, these waves can damage the device, affecting its stability and reliability, and increasing maintenance costs. While some existing wave energy generation devices can achieve multiple degrees of freedom, their energy capture structures have complex mechanical structures. Under prolonged seawater erosion, these mechanical structures can corrode and rust, making them prone to failure. Summary of the Invention

[0005] To address the shortcomings of existing technologies, this invention provides a multi-degree-of-freedom pendulum-type hydraulic wave energy generation device.

[0006] To solve the above-mentioned technical problems, the technical solution adopted by the present invention is a multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, including an oscillating float with a hollow interior; characterized in that it further includes an internal power generation unit, which is disposed inside the oscillating float, and the internal power generation unit includes...

[0007] The base is fixedly installed on the inner bottom surface of the oscillating float and located at the center of the inner bottom surface of the oscillating float;

[0008] The pendulum is installed inside the oscillating float and located above the base. The pendulum swings with the oscillation of the oscillating float.

[0009] A hydraulic energy harvesting system is mounted on the base.

[0010] The pendulum support is installed below the pendulum and connected to the hydraulic energy harvesting system; the swing of the pendulum is transmitted to the hydraulic energy harvesting system through the pendulum support.

[0011] The energy conversion system is installed on the base and converts the hydraulic kinetic energy output by the hydraulic energy harvesting system.

[0012] In the optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, the oscillating float is constructed as a hemisphere with an internal closed cavity, and the shape of the internal cavity of the oscillating float is set to match the outer surface of the hemisphere of the oscillating float.

[0013] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device includes an energy conversion system comprising an energy storage device, a generator, and an oil tank. The hydraulic oil of the hydraulic energy harvesting system is output to the oil tank, the oil output end of the oil tank is connected to the power input end of the generator, and the power output end of the generator is electrically connected to the power input end of the energy storage device.

[0014] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device includes a hydraulic energy harvesting system comprising several hydraulic cylinders arranged in a ring around the pendulum; one end of each hydraulic cylinder is connected to the base, and the other end is connected to the pendulum support.

[0015] In the optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, the piston rod end of the hydraulic cylinder is equipped with a spherical hinge joint, and the pendulum support is equipped with a hinge seat that mates with the spherical hinge joint, with a groove in the hinge seat that mates with the spherical hinge joint; the cylinder body end of the hydraulic cylinder is equipped with a spherical hinge joint, and the pendulum support is equipped with a hinge seat that mates with the spherical hinge joint.

[0016] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device includes a pendulum support frame, with the pendulum fixed above the middle of the support frame; the connection between the hydraulic energy harvesting system and the pendulum support is evenly spaced around the support frame.

[0017] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device has a support frame that is either square or circular.

[0018] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device also includes a connecting rod that supports the pendulum away from the support frame, and the pendulum is fixed to the support frame through the connecting rod.

[0019] The optimized multi-degree-of-freedom pendulum-type hydraulic wave energy generation device further includes a cross-shaped support rod and a base support rod in the pendulum bracket. The cross-shaped support rod has four connecting ends. One end of the base support rod is fixed to the base, and the other end of the base support rod has two rotating shaft ends. The cross-shaped support rod is located between the two rotating shaft ends. Two of the connecting ends of the cross-shaped support rod are coaxially arranged and rotatably connected to the two rotating shaft ends respectively. The other two connecting ends of the cross-shaped support rod are coaxially arranged and rotatably connected to the bracket frame respectively.

[0020] In the optimized version of the above-mentioned multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, the pendulum is hemispherical, and the top of the hemispherical arc is set towards the bottom end of the internal cavity of the oscillating float.

[0021] The beneficial effect of this application is that it can generate wave energy by absorbing the energy of waves in multiple directions through multi-degree-of-freedom motion without being restricted by the wave direction, and converting hydraulic energy into electrical energy.

[0022] (1) The hydraulic energy capture system generates electricity, which has higher reliability and stability compared with other energy capture systems. It makes very efficient use of ocean wave energy, realizes energy capture, and improves energy acquisition efficiency.

[0023] (2) The structure is simple and reliable, and it can absorb wave energy from multiple directions. The swaying, pitching, rolling and undulating motions of the float are achieved by the pendulum driving the cross frame connecting rod to realize the effective reciprocating motion of the hydraulic rod, thereby driving the generator to generate electricity. The device has a simple structure, is easy to maintain, and has low construction and maintenance costs. At the same time, it has a high energy utilization rate of wave energy and can obtain greater economic benefits.

[0024] (3) The installation location is flexible and the installation method is simple, which can be applied to various water depths. Moreover, unlike the existing technology that connects the oscillating float to the energy harvesting device for energy harvesting, the pendulum, hydraulic energy harvesting system and hydraulic energy transducer system in this application are all set in a hollow float. Energy is captured by the swing of the pendulum. The hydraulic energy harvesting system and hydraulic energy transducer system are not exposed to the marine environment and are not subject to water immersion corrosion, which can effectively increase the service life and facilitate maintenance. Attached Figure Description

[0025] Figure 1 This is a schematic diagram of the structure of this application;

[0026] Figure 2 This is a schematic diagram of the internal power generation unit of this application;

[0027] Figure 3 This is a schematic diagram of the connection structure between the pendulum and its supporting components in this application;

[0028] Figure 4This is a schematic diagram showing the connection between the pendulum and the support frame in this application;

[0029] Figure 5 This is a structural schematic diagram of the base in this application;

[0030] Figure 6 This is a schematic diagram of the connection structure of the transducer system in this application. Detailed Implementation

[0031] The technical features of the present invention will be further described below with reference to the accompanying drawings and specific embodiments.

[0032] like Figure 1 As shown, the present invention is a multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, including an oscillating float 1 and an internal power generation unit. The internal power generation unit includes a base 2, a pendulum 3, a hydraulic energy capture system, a pendulum support, and an energy conversion system.

[0033] The oscillating float 1 is constructed as a hemisphere with an internal closed cavity, and the shape of the internal cavity of the oscillating float 1 is also hemispherical. In the figure, B2 represents the bottom planar surface of the oscillating float 1, and B1 represents the top hemispherical surface of the oscillating float 1. When the oscillating float 1 floats at sea, its bottom planar surface floats on the sea surface. The internal cavity of the oscillating float 1 is also hemispherical and matches the shape of its outer surface.

[0034] The oscillating float 1 can be made of float materials commonly used in the prior art, such as floats with a polyethylene shell. The internal cavity of the oscillating float 1 is molded with polyethylene material, and the space between the shell of the oscillating float 1 and the inner wall of the internal cavity is filled with polystyrene foam.

[0035] An internal generator is installed inside the bottom surface of the internal cavity of the oscillating float 1. A base 2 is fixedly installed at the center of the bottom surface of the internal cavity of the oscillating float 1. Hydraulic cylinders 10 of the hydraulic energy harvesting system are installed on the base 2. In this embodiment, four hydraulic cylinders 10 are arranged in a ring around the pendulum 3. The piston rod end of the hydraulic cylinder 10 has a spherical hinge joint. The support frame 201 of the pendulum support has hinge seats around its perimeter that mate with the spherical hinge joint. The hinge seats have grooves that mate with the spherical hinge joint. The spherical hinge joint at the piston rod end of the hydraulic cylinder 10 is installed in the grooves of the hinge seats around the support frame 201, achieving hinge connection.

[0036] The cylinder body of the hydraulic cylinder 10 has a spherical hinge joint at its end. The base 2 has a hinge seat that mates with the spherical hinge joint. The hinge seat has a groove that mates with the spherical hinge joint. The spherical hinge joint at the cylinder body of the hydraulic cylinder 10 is installed in the groove of the hinge seat on the base 2 to achieve hinge connection.

[0037] The energy conversion system is installed on the base 2 and converts the hydraulic kinetic energy output by the hydraulic energy capture system.

[0038] The energy conversion system includes an energy storage device 104, a generator 107, and an oil tank 108; the hydraulic oil of the hydraulic energy harvesting system is output to the oil tank 108, the oil output end of the oil tank 108 is connected to the power input end of the generator 107, and the power output end of the generator 107 is electrically connected to the power input end of the energy storage device 104.

[0039] The pendulum 3 is fixed above the center of the support frame 201; the connection between the hydraulic energy harvesting system and the pendulum support is evenly spaced around the support frame 201. The support frame 201 is either a square or a circular frame. In this embodiment, the support frame 201 is set to be square.

[0040] A connecting rod 202 supports the pendulum 3 away from the support frame 201, and the pendulum 3 is fixed to the support frame 201 via the connecting rod 202. In this embodiment, the connecting rod 202 is U-shaped, with both ends of the U-shape connected and fixed to the support frame 201. The pendulum 3 is constructed in a hemispherical shape and can be made of solid weights, such as solid metal blocks or solid nylon blocks. The hemispherical arc-shaped top of the pendulum 3 is fixed to the U-shaped top of the connecting rod 202 and faces the bottom surface of the internal cavity of the oscillating float 1.

[0041] The pendulum support also includes a cross-shaped support rod 203 and a base support rod 204. The cross-shaped support rod 203 has four connecting ends. One end of the base support rod 204 is fixed to the base 2, and the other end of the base support rod 204 has two pivot ends. The cross-shaped support rod 203 is located between the two pivot ends. Two of the connecting ends of the cross-shaped support rod 203 are coaxially arranged and are rotatably connected to the two pivot ends respectively. The other two connecting ends of the cross-shaped support rod 203 are coaxially arranged and are rotatably connected to the support frame 201 respectively.

[0042] The various movements generated by the oscillating float 1 under the action of waves cause the pendulum 3 inside the float to swing. The swing of the pendulum 3 can drive the movement of the cross-shaped support rod 203. When the cross-shaped support rod 203 starts to move away from the initial position, it will drive the piston rod of the hydraulic cylinder 10 in the hydraulic energy harvesting system to produce relative displacement with the cylinder body of the hydraulic cylinder 10, squeezing the hydraulic oil in the hydraulic cylinder. Then, the hydraulic system composed of high-pressure oil pipe 103, accumulator 104, solenoid ball valve 105, hydraulic motor 106, generator 107, oil tank 108 and low-pressure oil pipe 109 completes the energy conversion. The hydraulic energy is finally converted into electrical energy to achieve the purpose of power generation. We will explain this in detail below with reference to the implementation diagram.

[0043] First, consider only the swaying motion of the oscillating float 1 under the action of waves. When the oscillating float 1 sways, the pendulum 3 inside the float, under the combined action of inertia and gravity, will leave its initial position, causing the cross-shaped support rod 203 to begin swinging. The piston rod of the hydraulic cylinder 10 will also reciprocate. The piston rods of the hydraulic cylinder 10 are all incompressible rigid rods. When the pendulum 3 drives the support frame 201 to start moving, the support frame 201 will rotate around the major axis E2 or the minor axis E3 of the cross-shaped support rod 203. When the support frame 201 rotates around the long axis E2 of the cross-shaped support rod 203, the piston rods of the hydraulic cylinders 10 in the direction of rotation of the support frame 201 (the piston rods of the two hydraulic cylinders 10 opposite to the short axis E3 at this time) will have relative displacement with the cylinder body of the hydraulic cylinders 10. When the support frame 201 rotates to one side, the piston rods of the hydraulic cylinders 10 on this side will press inward against the cylinder body of the hydraulic cylinder 10, while the piston rods of the hydraulic cylinders 10 on the opposite side will retract outward against the cylinder body of the hydraulic cylinder 10. This hydraulic power generation process is realized through the hydraulic system. When the support frame 201 rotates around the long axis E2 in the opposite direction, the piston rods of the hydraulic cylinders 10 that pressed inward during the previous rotation will retract outward against the cylinder body of the hydraulic cylinder 10. The piston rods of the retracted hydraulic cylinders 10 will then press inward against the cylinder body of the hydraulic cylinder 10. This hydraulic power generation process is realized through the hydraulic system. Similarly, when the pendulum 3 drives the support frame 201 to rotate around the short axis E3 of the cross-shaped support rod 203, the piston rod of the hydraulic cylinder 10 on one side of the rotation direction of the support frame 201 presses inward against the cylinder body of the hydraulic cylinder 10, while the piston rod of the hydraulic cylinder 10 on the opposite side retracts outward from the cylinder body of the hydraulic cylinder 10. The cross-shaped connecting rod reciprocates in this way, continuously converting wave energy into hydraulic energy and ultimately into electrical energy.

[0044] Similarly, when the oscillating float 1 performs longitudinal oscillation, the motion between the components is the same as when it performs transverse oscillation, that is, the process of capturing wave energy for hydraulic power generation is the same.

[0045] Next, consider only the lateral motion of the oscillating float 1 under the action of the waves. When the oscillating float 1 is lateral, the pendulum 3 inside the float will also be lateral. When the pendulum 3 leaves the initial position and starts to move, the cross-shaped support rod 203 connected to the pendulum 3 will also swing left and right with the swing of the pendulum. When the pendulum 3 drives the cross-shaped connecting rod to start to move, the support frame 201 will rotate around the major axis E2 or the minor axis E3 of the cross-shaped support rod 203. When the support frame 201 rotates around the long axis E2 of the cross-shaped support rod 203, the piston rods of the hydraulic cylinders 10 in the direction of rotation of the support frame 201 (the piston rods of the two hydraulic cylinders 10 opposite to the short axis E3 at this time) will have relative displacement with the cylinder body of the hydraulic cylinders 10. When the support frame 201 rotates to one side, the piston rods of the hydraulic cylinders 10 on this side will press inward against the cylinder body of the hydraulic cylinder 10, while the piston rods of the hydraulic cylinders 10 on the opposite side will retract outward against the cylinder body of the hydraulic cylinder 10. This hydraulic power generation process is realized through the hydraulic system. When the support frame 201 rotates around the long axis E2 in the opposite direction, the piston rods of the hydraulic cylinders 10 that pressed inward during the previous rotation will retract outward against the cylinder body of the hydraulic cylinder 10. The piston rods of the retracted hydraulic cylinders 10 will then press inward against the cylinder body of the hydraulic cylinder 10. This hydraulic power generation process is realized through the hydraulic system. Similarly, when the pendulum 3 drives the support frame 201 to rotate around the short axis E3 of the cross-shaped support rod 203, the piston rod of the hydraulic cylinder 10 on one side of the rotation direction of the support frame 201 presses inward against the cylinder body of the hydraulic cylinder 10, while the piston rod of the hydraulic cylinder 10 on the opposite side retracts outward from the cylinder body of the hydraulic cylinder 10. The cross-shaped connecting rod reciprocates in this way, continuously converting wave energy into hydraulic energy and ultimately into electrical energy.

[0046] Similarly, when the oscillating float 1 makes a pitching motion, the motion between the components is the same as when it makes a rolling motion, that is, the process of capturing wave energy to generate hydraulic power is the same.

[0047] It is worth noting that, in order to clearly demonstrate the mutual motion between the components during the float's movement, the above description only considers the motion of one degree of freedom, namely, sway, pitch, roll, and yaw. However, in reality, the oscillating float 1 can achieve multiple degrees of freedom of motion. Therefore, the mutual motion between the components of the above device will exhibit varying degrees of superposition, meaning that the specific motion mode of each component of the device will differ depending on the specific sea conditions.

[0048] The hydraulic circuit unit is described in detail below with reference to the accompanying drawings. The hydraulic circuit unit includes: a cylinder body of a hydraulic cylinder 10, a high-pressure oil pipe 103, a low-pressure oil pipe 109, a solenoid ball valve 105, an accumulator 104, an oil tank 108, a hydraulic motor 106, and a generator 107. The inlet of the accumulator 104 is connected to the high-pressure oil pipe 103, and its outlet is connected via a pipe to the inlet of the solenoid ball valve 105. The outlet of the solenoid ball valve 105 is connected via a pipe to the inlet of the hydraulic motor 106. The outlet of the hydraulic motor 106 is connected via a pipe to one side of the oil tank 108, and the other side of the oil tank 108 is connected to the low-pressure oil pipe 109. Furthermore, the power output terminal of the hydraulic motor 106 is connected to the power input terminal of the generator 107.

[0049] After the power generation unit is installed and started, the counterweight of the oscillating float 1 is adjusted according to the specific sea conditions, thereby adjusting the amplitude of the oscillating float's movement to achieve the optimal energy capture working state. Under the action of the sea waves, the waves beat against the oscillating float 1, causing it to undergo multi-degree-of-freedom motion and accompanied by up-and-down undulating motion with the waves. As described above, the different directions and degrees of motion of the float are transmitted through a series of mechanical mechanisms, and the cross-shaped support rod 203 drives the piston rod of the hydraulic cylinder 10 to reciprocate and extend relative to the cylinder body of the hydraulic cylinder 10.

[0050] When the piston rod extends, low-pressure oil is drawn from the low-pressure oil pipe 108 through the one-way inlet valve and the low-pressure delivery pipe into one end (e.g., the upper end) of the hydraulic cylinder 101, while high-pressure oil is squeezed into the accumulator 104 from the high-pressure oil pipe 109 at the other end (e.g., the lower end) of the hydraulic cylinder 101 through the one-way outlet valve and the high-pressure delivery pipe.

[0051] When the high-pressure oil in the accumulator 104 reaches a certain pressure value, the solenoid ball valve 105 opens, allowing the high-pressure oil to enter the hydraulic motor 106 and drive it to rotate, thereby driving the generator 107 to generate electricity. After performing work, the incoming high-pressure oil is converted into low-pressure oil and then flows out from the oil outlet of the hydraulic motor 106 to the oil tank 108. When the high-pressure oil in the accumulator 104 drops to a certain pressure value, the solenoid ball valve 105 closes.

[0052] In other words, this invention utilizes the advantages of high reliability and easy energy storage of hydraulic transmission mechanisms, making the overall power generation device more widely applicable. Simultaneously, it enables the conversion of the multi-degree-of-freedom motion of the oscillating float into hydraulic power generation, ensuring efficient conversion and utilization of captured energy and improving energy capture efficiency.

[0053] Of course, the above description is not intended to limit the present invention, and the present invention is not limited to the examples given above. Any changes, modifications, additions or substitutions made by those skilled in the art within the scope of the present invention should be protected by the present invention.

Claims

1. A multi-degree-of-freedom pendulum-type hydraulic wave energy generation device, comprising an oscillating float (1), wherein the oscillating float (1) is hollow inside; characterized in that: It also includes an internal power generation unit, which is located within the oscillating float (1). The internal power generation unit includes... The base (2) is fixedly installed on the inner bottom surface of the oscillating float (1) and located at the center of the inner bottom surface of the oscillating float (1); The pendulum (3) is installed inside the oscillating float (1) and located above the base (2). The pendulum (3) swings with the oscillation of the oscillating float (1). A hydraulic energy harvesting system is installed on the base (2); The pendulum bracket is installed below the pendulum (3) and connected to the hydraulic energy harvesting system; the swing of the pendulum (3) is transmitted to the hydraulic energy harvesting system through the pendulum bracket; The energy conversion system is installed on the base (2) and converts the hydraulic kinetic energy output by the hydraulic energy capture system. The pendulum support includes a support frame (201), a connecting rod (202) supporting the pendulum (3) away from the support frame (201), a cross-shaped support rod (203), and a base support rod (204). The pendulum (3) is fixed above the middle part of the support frame (201). The connection between the hydraulic energy harvesting system and the pendulum support is evenly spaced around the support frame (201). The pendulum (3) is fixed to the support frame (201) via a connecting rod (202); The cross-shaped support rod (203) has four connecting ends. One end of the base support rod (204) is fixed to the base (2), and the other end of the base support rod (204) has two rotating shaft ends. The cross-shaped support rod (203) is located between the two rotating shaft ends. Two of the connecting ends of the cross-shaped support rod (203) are coaxially arranged and are rotatably connected to the two rotating shaft ends respectively. The other two connecting ends of the cross-shaped support rod (203) are coaxially arranged and are rotatably connected to the bracket frame (201) respectively.

2. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 1, characterized in that: The oscillating float (1) is constructed as a hemisphere with an internal closed cavity, and the shape of the internal cavity of the oscillating float (1) is configured to match the outer surface of the hemisphere of the oscillating float (1).

3. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 1, characterized in that: The energy conversion system includes an energy storage device (104), a generator (107), and an oil tank (108); the hydraulic oil of the hydraulic energy harvesting system is output to the oil tank (108), the oil output end of the oil tank (108) is connected to the power input end of the generator (107), and the power output end of the generator (107) is electrically connected to the power input end of the energy storage device (104).

4. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 1, characterized in that: The hydraulic energy harvesting system includes several hydraulic cylinders (10), which are arranged in a ring around the pendulum (3); one end of the hydraulic cylinder (10) is connected to the base (2), and the other end of the hydraulic cylinder (10) is connected to the pendulum support.

5. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 4, characterized in that: The piston rod end of the hydraulic cylinder (10) is provided with a spherical hinge joint, and the pendulum support is provided with a hinge seat that mates with the spherical hinge joint, and the hinge seat is provided with a groove that mates with the spherical hinge joint; the cylinder body end of the hydraulic cylinder (10) is provided with a spherical hinge joint, and the pendulum support is provided with a hinge seat that mates with the spherical hinge joint.

6. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 1, characterized in that: The support frame (201) is one of a square or a circular frame.

7. The multi-degree-of-freedom pendulum-type hydraulic wave energy generation device according to claim 2, characterized in that: The pendulum (3) is hemispherical, with the top of the hemispherical arc facing the bottom surface of the cavity inside the oscillating float (1).

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