CN103200756B - TOKMAK lower hybrid wave aerial radiation end face geometry optimization method - Google Patents

Abstract

The invention discloses a kind of TOKMAK lower hybrid wave aerial radiation end face geometry optimization method, log by experiment, during obtaining Physical Experiment, lower hybrid wave antenna is along the displacement range of TOKMAK device radial direction, determines the equilibrium distance r at auto levelizer center, aerial radiation end face center ₀substitute into computing formula, obtain the aerial radiation end face nnular notch geometry considering device large ring radius of curvature and the impact of vertical field percent ripple, for aerial radiation end face pole to otch geometry, with reference to previous methods, design new lower hybrid wave aerial radiation end face geometry.The present invention can to ensure and under improving the prerequisite of ripple and plasmon coupling, alleviate and avoid high-temperature plasma to the ablation of antenna, better performance lower hybrid wave, to the positive role of TOKMAK Physical Experiment, has also been saved to a great extent because to repair, change impaired antenna and a large amount of Scientific Research Resources of expending simultaneously.

Description

TOKMAK lower hybrid wave aerial radiation end face geometry optimization method

Technical field

The present invention relates to magnetic confinement fusion technical field, particularly relate to a kind of TOKMAK lower hybrid wave aerial radiation end face geometry optimization method.

Background technology

Lower hybrid wave drive current has been demonstrated experimentally the means into not inductively powered electric current the most effective on the controlled magnetic trapped fusion apparatus of TOKMAK type, antenna is subsystem important in lower hybrid wave system, its effect is coupled in TOKMAK plasma with specific radiant power spectrum, for heating plasma and driving plasma current by the microwave energy transported through transmission line by microwave source.

Domestic and international lower hybrid wave antenna develops into present stage, there are three kinds of energy reclaiming structures, be respectively: conventional waveguide battle array, many knots waveguide battle array, the interactive waveguide battle array of active passive, the no matter lower hybrid wave antenna of which kind of form, the main transmission waveguide in Jun Shiyoushuo road is by antenna element corresponding for microwave energy feed-in, through the built-in power division of antenna element and phase-shift system, each way waveguide of final arrival antenna output end, thus the radiation end face of antenna flux of plasma is led by the square-section wavelet of several rows, Ruo Ganlie, uiform section size and is formed, as shown in Figure 1.

The problem of prior art:

Good lower hybrid wave is the necessary condition ensureing lower hybrid wave experiment effect with being coupled of plasma, because antenna horizontal direction size own is much smaller than TOKMAK device large ring direction size, the radiation end face of lower hybrid wave antenna was processed to a standard round cylinder in the past, as shown in Figure 2, namely, only consider that pole is to Plasma shape, ignore hoop Plasma shape, approximate and simplification like this, bring conveniently to antenna processing in early stage, but the geometric curved surfaces of this shape can cause aerial radiation end face central area, and distance plasma is nearest, thus the reaction being subject to plasma is maximum, along with the prolongation of experimental period and some special discharge modes are on the impact of antenna, aerial radiation end face center stands in the breach, it is larger that the probability be damaged compares other region of radiation end face, as shown in Figure 3.

In addition, the quantity of TOKMAK device longitudinal field coil is limited, the magnetic line of force along large ring direction is distorted between two adjacent longitudinal field coils, there is the skew along radial direction in the magnetic line of force, do not consider the impact of this factor on lower hybrid wave aerial radiation end face geometry between two adjacent longitudinal field coils in the past.

Summary of the invention

The object of the invention is exactly the defect in order to make up prior art, provide a kind of ensure and improve coupling prerequisite under, alleviate and avoid plasma to the TOKMAK lower hybrid wave aerial radiation end face geometry optimization method of the ablation of antenna.

The present invention is achieved by the following technical solutions:

A kind of TOKMAK lower hybrid wave aerial radiation end face geometry optimization method, comprises the following steps:

(1), repeatedly do lower hybrid wave antenna running experiment and write down experimental record, obtaining experimental session lower hybrid wave antenna along the displacement range of TOKMAK device radial direction, determine the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀;

(2), in conjunction with the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀hoop angle φ shared by aerial radiation end face arranged on left and right sides is calculated with lower hybrid wave antenna horizontal direction size L ₁, φ ₂, pass through formula

$radius\left(\mathrm{\φ}\right)=r_0+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch geometry radius (φ) only considering that large ring radius of curvature factor affects, wherein, φ is the angle along the large ring direction of device;

(3), longitudinal magnetic field magnet system is a kind of closed circular magnetic confinement system, as shown in Figure 4, to be uniformly distributed along the large ring direction of TOKMAK by several coils and to rearrange, can in coil portion plasma region produce high-intensity magnetic field, EAST device is evenly distributed with 16 longitudinal field coils along large ring direction, hoop angle between two adjacent longitudinal field coil median planes is 22.5 °, its shape approximation letter " D ", lower hybrid wave antenna is positioned at the center position of adjacent two longitudinal field coils, because the quantity of TOKMAK device longitudinal field coil is limited, the magnetic line of force along large ring direction is distorted between two adjacent longitudinal field coils, determine that the side-play amount Dr along radial direction occurs the magnetic line of force between two adjacent longitudinal field coils ₀,

(4), formula is passed through

$ripple\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})$

Calculate and only consider that device indulges aerial radiation end face nnular notch geometry ripple (φ) for percent ripple factor impact, wherein, n is the quantity of EAST device longitudinal field coil;

(5), formula is passed through

$profile\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch required form profile (φ) considered under device large ring radius of curvature and vertical field percent ripple joint effect;

(6), determine that antenna pole is to kerf.

The method that described determination antenna pole uses to kerf is: with reference to previous methods, the coupling condition of researching antenna in experiment in the past, in conjunction with statistics and the matching of EAST various electric discharge position shape, and studying and judging the electric discharge position shape of main flow from now on, determine that pole is to otch radius, antenna the first half and the latter half specular.

Advantage of the present invention is: the present invention transforms existing EAST-2.45GHz lower hybrid wave antenna, improved aerial radiation end face is consistent with EAST device magnetic field configuration, can to ensure and under improving the prerequisite of ripple and plasmon coupling, alleviate and avoid high-temperature plasma to the ablation of antenna, better performance lower hybrid wave, to the positive role of TOKMAK Physical Experiment, has also been saved to a great extent because to repair, change impaired antenna and a large amount of Scientific Research Resources of expending simultaneously.

Accompanying drawing explanation

Fig. 1 is that antenna surface is to plasma resonance end view.

The lower hybrid wave antenna schematic diagram of Fig. 2 to be radiation end face be standard round cylinder.

When Fig. 3 is hoop non-otch, aerial radiation end face center subject plasma ablation schematic diagram.

Fig. 4 is EAST device 16 " D " shape longitudinal field coil distribution schematic diagrams.

Fig. 5 indulges hoop angle schematic diagram shared by field form and lower hybrid wave antenna for tokamak.

When Fig. 6 is for considering that Different factor affects, EAST lower hybrid wave aerial radiation end face nnular notch geometry.

Fig. 7 is the lower hybrid wave aerial radiation end face geometry after optimizing.

Embodiment

A kind of TOKMAK lower hybrid wave aerial radiation end face geometry optimization method, comprises the following steps:

(1), repeatedly do lower hybrid wave antenna running experiment and write down experimental record, obtain the displacement range of experimental session lower hybrid wave antenna along TOKMAK device radial direction, determine that the position the most often used is as equilbrium position, carry out analytical calculation, determine the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀, for EAST existing 2.45GHz lower hybrid wave antenna, determine the equilibrium distance r at auto levelizer center, experimental session aerial radiation end face center ₀for 2375mm;

(2), in conjunction with the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀hoop angle φ shared by aerial radiation end face arranged on left and right sides is calculated with lower hybrid wave antenna horizontal direction size L ₁, φ ₂, pass through formula

$radius\left(\mathrm{\φ}\right)=r_0+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch geometry radius (φ) only considering that large ring radius of curvature factor affects), wherein, φ is the angle along the large ring direction of device;

Existing EAST-2.45GHz lower hybrid wave antenna horizontal direction size L is 472mm, and as calculated, shared by the aerial radiation end face left and right sides, hoop angle is respectively φ ₁=5.547 °, φ ₂=16.953 ⁰.

(3), longitudinal magnetic field magnet system is a kind of closed circular magnetic confinement system, as shown in Figure 4, to be uniformly distributed along the large ring direction of TOKMAK by several coils and to rearrange, can in coil portion plasma region produce high-intensity magnetic field, EAST device is evenly distributed with 16 longitudinal field coils along large ring direction, and the hoop angle between two adjacent longitudinal field coil median planes is 22.5 ⁰its shape approximation letter " D ", lower hybrid wave antenna is positioned at the center position of adjacent two longitudinal field coils, because the quantity of TOKMAK device longitudinal field coil is limited, the magnetic line of force along large ring direction is distorted between two adjacent longitudinal field coils, determines that the side-play amount Dr along radial direction occurs the magnetic line of force between two adjacent longitudinal field coils ₀;

(4), formula is passed through

$ripple\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})$

Calculate and only consider that device indulges aerial radiation end face nnular notch geometry ripple (φ) for percent ripple factor impact, wherein, n is the quantity of EAST device longitudinal field coil;

EAST device is evenly distributed with 16 longitudinal field coils along large ring direction, and the hoop angle between adjacent two longitudinal field coil median planes is 22.5 ⁰.

(5), formula is passed through

$profile\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch required form profile (φ) considered under device large ring radius of curvature and vertical field percent ripple joint effect;

R ₀=2375mm is the distance at auto levelizer center, aerial radiation end face center; In this position, corresponding Dr ₀=4.7mm (being provided by device magnet group); N=16 is the quantity of EAST device longitudinal field coil, and φ is the angle along the large ring direction of device.

Result of calculation as shown in Figure 6, green dotted line represents only considers that aerial radiation end face ring required by the impact of large ring radius of curvature factor is to kerf, blue dotted line represents only considers that aerial radiation end face ring required by the percent ripple factor impact of vertical field is to kerf, red solid line represents and considers both aerial radiation end face rings required by acting in conjunction above-mentioned to kerf, visible, the impact of large ring radius of curvature is greater than vertical field percent ripple, when two kinds of factors are all considered, aerial radiation end face center should compared with both sides recessed 14.2mm inward, guarantee aerial radiation end face geometry is consistent to magnetic field configuration with EAST device ring.

(6), determine that antenna pole is to kerf.

The method that described determination antenna pole uses to kerf is: with reference to previous methods, the coupling condition of researching antenna in experiment in the past, in conjunction with statistics and the matching of EAST various electric discharge position shape, and studying and judging the electric discharge position shape of main flow from now on, determine that pole is to otch radius, based on the analysis and research of above-mentioned aspect, finally determine that pole is 760.0mm to otch radius, antenna the first half and the latter half specular.

Based on above-mentioned analysis, we transform EAST-2.45GHz lower hybrid wave antenna, improved aerial radiation end face nnular notch geometry is profile (φ), ensures that aerial radiation end face geometry is consistent with EAST device magnetic field configuration; The pole of antenna the first half, the latter half is 760mm to otch radius, as shown in Figure 7 (unit: mm).

Claims (2)

1. a TOKMAK lower hybrid wave aerial radiation end face geometry optimization method, is characterized in that: comprise the following steps:

(1), repeatedly do lower hybrid wave antenna running experiment and write down experimental record, obtaining experimental session lower hybrid wave antenna along the displacement range of TOKMAK device radial direction, determine the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀;

(2), in conjunction with the equilibrium distance r of aerial radiation end face center to TOKMAK device center ₀hoop angle φ shared by aerial radiation end face arranged on left and right sides is calculated with lower hybrid wave antenna horizontal direction size L ₁, φ ₂, pass through formula

$radius\left(\mathrm{\φ}\right)=r_0+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch geometry radius (φ) only considering that large ring radius of curvature factor affects, wherein, φ is the angle along the large ring direction of device;

(3), the quantity of TOKMAK device longitudinal field coil is limited, and the magnetic line of force along large ring direction is distorted between two adjacent longitudinal field coils, determines that the side-play amount Dr along radial direction occurs the magnetic line of force between two adjacent longitudinal field coils ₀;

(4), formula is passed through

$ripple\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})$

Calculate and only consider that device indulges aerial radiation end face nnular notch geometry ripple (φ) for percent ripple factor impact, wherein, n is the quantity of EAST device longitudinal field coil, n=16;

(5), formula is passed through

$profle\left(\mathrm{\φ}\right)=r_0-\frac{{\mathrm{Dr}}_0}{2}\·cos(n\·\frac{\mathrm{\φ}}{360}\·2\·\mathrm{\π})+(r_0\·cos(\frac{11.25-\mathrm{\φ}}{360}\·2\·\mathrm{\π})-r_0\·cos(\frac{{\mathrm{\φ}}_1}{360}\·2\·\mathrm{\π}))$

Calculate aerial radiation end face nnular notch required form profile (φ) considered under device large ring radius of curvature and vertical field percent ripple joint effect;

(6), determine that antenna pole is to kerf.

2. TOKMAK lower hybrid wave aerial radiation end face geometry optimization method according to claim 1, it is characterized in that: the method that described determination antenna pole uses to kerf is: the coupling condition of researching antenna in experiment in the past, in conjunction with statistics and the matching of EAST various electric discharge position shape, and studying and judging the electric discharge position shape of main flow from now on, determine that pole is to otch radius, antenna the first half and the latter half specular.