WEKO3
アイテム
{"_buckets": {"deposit": "61850022-3d3b-4e24-a216-2a274ba0baba"}, "_deposit": {"created_by": 21, "id": "1492", "owners": [21], "pid": {"revision_id": 0, "type": "depid", "value": "1492"}, "status": "published"}, "_oai": {"id": "oai:ir.soken.ac.jp:00001492", "sets": ["12"]}, "author_link": ["0", "0", "0"], "item_1_biblio_info_21": {"attribute_name": "書誌情報(ソート用)", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2009-09-30", "bibliographicIssueDateType": "Issued"}, "bibliographic_titles": [{}]}]}, "item_1_creator_2": {"attribute_name": "著者名", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "石, 中兵"}], "nameIdentifiers": [{"nameIdentifier": "0", "nameIdentifierScheme": "WEKO"}]}]}, "item_1_creator_3": {"attribute_name": "フリガナ", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "シ, ゾンビン"}], "nameIdentifiers": [{"nameIdentifier": "0", "nameIdentifierScheme": "WEKO"}]}]}, "item_1_date_granted_11": {"attribute_name": "学位授与年月日", "attribute_value_mlt": [{"subitem_dategranted": "2009-09-30"}]}, "item_1_degree_grantor_5": {"attribute_name": "学位授与機関", "attribute_value_mlt": [{"subitem_degreegrantor": [{"subitem_degreegrantor_name": "総合研究大学院大学"}]}]}, "item_1_degree_name_6": {"attribute_name": "学位名", "attribute_value_mlt": [{"subitem_degreename": "博士(理学)"}]}, "item_1_description_1": {"attribute_name": "ID", "attribute_value_mlt": [{"subitem_description": "2009513", "subitem_description_type": "Other"}]}, "item_1_description_12": {"attribute_name": "要旨", "attribute_value_mlt": [{"subitem_description": " The physics of turbulence is a key to understand the plasma confinement. In the reversed-field pinch (RFP) plasma, turbulence plays an important role to sustain the RFP configuration. However, the experimental study of the turbulence is not sufficient especially around the field reversal surface in the case of RFP plasma. Microwave imaging reflectometry (MIR) is expected to be a powerful tool for the turbulence measurement, because it provides the direct view of the 2D/3D image of the turbulence near the cutoff surface deeply into plasma. However, the turbulence study by using MIR has not been reported yet. This work presents the turbulence measurement around the reversal field surface in a large RFP device TPE-RX by using MIR.\u003cbr /\u003e\u003cbr /\u003e In RFP, the reversed toroidal field in the edge region is sustained by the dynamo, which is driven by instabilities and turbulence. RFP also has an MHD turbulence suppression technique: the pulsed poloidal current drive (PPCD) operation. The MHD dynamo theory predicts that the fluctuations in the flow (v\u003csup\u003e~\u003c/sup\u003e) and the magnetic field (B\u003csup\u003e~\u003c/sup\u003e) form the equilibrium electromotive force (EMF)\u003cv\u003csup\u003e~\u003c/sup\u003e×B\u003csup\u003e~\u003c/sup\u003e\u003csmall\u003e||\u003c/small\u003e, where \u003csmall\u003e||\u003c/small\u003e denotes parallel to the magnetic field (it is poloidal at the reversal surface). Without PPCD operation, the ohm’s law is written as: \u0026eta;J\u003csmall\u003e||\u003c/small\u003e=\u003cv\u003csup\u003e~\u003c/sup\u003e×B\u003csup\u003e~\u003c/sup\u003e\u003csmall\u003e||\u003c/small\u003e . The dynamo \u003cv\u003csup\u003e~\u003c/sup\u003e×B\u003csup\u003e~\u003c/sup\u003e\u003csmall\u003e||\u003c/small\u003e can drive the poloidal current, which generates the reversed toroidal field. The PPCD operation generates the external electric field E\u003csmall\u003e||\u003c/small\u003e. In this case, the ohm\u0027s law is written as \u0026eta;J\u003csmall\u003e||\u003c/small\u003e=E\u003csmall\u003e||\u003c/small\u003e+ \u003cv\u003csup\u003e~\u003c/sup\u003e×B\u003csup\u003e~\u003c/sup\u003e\u003csmall\u003e||\u003c/small\u003e. The poloidal current is directly driven by E\u003csmall\u003e||\u003c/small\u003e without the help of the dynamo. As a result, the fluctuations in the PPCD plasma may be suppressed. So far various candidates for the RFP turbulence have been discussed: tearing instabilities, interchange instabilities and drift wave turbulence. Nevertheless, a definitive explanation still lacks. Therefore, comparison the turbulence around the field reversal surface between plasmas with PPCD and without PPCD may clarify the turbulence physics in the RFP plasma.\u003cbr /\u003e\u003cbr /\u003e MIR is one of the new diagnostics to measure the 2D/3D density fluctuations. It is based on the microwave reflection at the density-dependent cutoff surface. MIR signal can be written as A\u003ci\u003ee\u003csup\u003ei\u0026phi;\u003c/sup\u003e\u003c/i\u003e, where \u003ci\u003eA\u003c/i\u003e is the amplitude and is the phase. The amplitude\u003ci\u003eA\u003c/i\u003e is measured by a diode detector.\u003cbr /\u003eThe phase is measured by a quadrature (IQ) detector, as \u0026phi;=arctan\u003ci\u003e(Q/I)\u003c/i\u003e, where \u003ci\u003eI\u003c/i\u003e=cos\u0026phi;, and Q=sin\u0026phi;. In order to investigate the principles of MIR measurement, comparison between the simulation and a laboratory test of the MIR system has been carried out. The numerical model based on the Huygens-Fresnel equation is used to simulate the MIR signal. In this test, we found that \u0026phi; corresponds to the displacement of the cutoff surface in the radial direction, and \u003ci\u003eA\u003c/i\u003e corresponds to the reflection power, which is modulated by the shape of the cutoff surface. From the simulation and laboratory test, MIR is valid with the condition \u003ci\u003e4k\u0026delta;L/D\u003c1\u003c/i\u003e to measure the motion of the cutoff surface. Here \u003ci\u003eD\u003c/i\u003e is the diameter of the optical lens. \u003ci\u003eL\u003c/i\u003e is the distance between the cutoff surface and the optical lens. \u003ci\u003ek\u003c/i\u003e and \u003ci\u003e\u0026delta;\u003c/i\u003e are the perpendicular wavenumber and the radial displacement of the fluctuation, respectively. The measured fluctuations in TPE-RX plasmas mainly distribute in the range of \u003ci\u003e4k\u0026delta;L/D\u003c/i\u003e\u003c0.8 which suggests the present MIR system can make a clear image of the cutoff surface in plasma.\u003cbr /\u003e\u003cbr /\u003e TPE-RX is one of the world largest RFP devices, which was built in National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan, and it has the major and the minor radii of \u003ci\u003eR\u003c/i\u003e=1.72m and \u003ci\u003ea\u003c/i\u003e=0.45m, respectively. All discharges in this work have the plasma density in the range of (0.5~1.0)×10\u003csup\u003e19\u003c/sup\u003e m\u003csup\u003e-3\u003c/sup\u003e and the plasma current in the range of 200~300 kA. In order to measure the density fluctuations around the reversal surface (\u003ci\u003er/a\u003c/i\u003e=0.7~0.9) in TPE-RX, we have developed a MIR system with the microwave frequency of 20 GHz (O-mode, the cutoffdensity is 0.5×10\u003csup\u003e19\u003c/sup\u003e m\u003csup\u003e-3\u003c/sup\u003e) and a 4 × 4 Yagi-Uda antenna array. In this system, the spatial resolution is 3.7 cm and the temporal resolution is 1μs.\u003cbr /\u003e\u003cbr /\u003e Analysis techniques, which have been developed to study the turbulence in this work, are as follows: (1) the cross correlation, (2) the wavelet, (3) the maximum entropy method (MEM), (4) the fluctuation distributions (skewness and kurtosis), and (5) the bicoherence. The skewness and kurtosis are used to quantify the distribution of the fluctuations. By using wavelet analysis, the short-lived turbulent structures can be observed. The wavelet bicoherence is used to quantify the nonlinear interaction. The maximum entropy method (MEM) is useful to estimate the high resolution 2D\u003ci\u003ek\u003c/i\u003e spectrum.\u003cbr /\u003e\u003cbr /\u003e The observed features of the RFP turbulence around the field reversal surface in this work are as follows: \u003cbr /\u003e\u003cbr /\u003e(1) In the low \u003ci\u003ek\u003c/i\u003e and the low frequency ranges, the MIR signal has a high correlation with the magnetic fluctuations. Without PPCD operation, the m=0 tearing modes (may be dynamo) are dominant. On the other hand, the m=1 tearing modes are dominant in the PPCD plasma.\u003cbr /\u003e\u003cbr /\u003e(2) In the high \u003ci\u003ek\u003c/i\u003e and the high frequency ranges, MIR signal has a high correlation with the electrostatic fluctuations measured by the Langmuir probe. The \u003ci\u003ek\u003c/i\u003e spectrum is broad and is shifted in the electron drift direction in the plasma without PPCD. The high nonlinear coupling between the high \u003ci\u003ek\u003c/i\u003e modes and the low \u003ci\u003ek\u003c/i\u003emodes is observed. While in the PPCD plasma, the high k mode has not been observed.\u003cbr /\u003e\u003cbr /\u003e(3) The intermittency is increased as the reversal parameter |F| is increased in the case of without PPCD. (Note: the reversal parameter F = B\u003csmall\u003et\u003c/small\u003e(a)/\u003cB\u003csmall\u003et\u003c/small\u003e\u003e can be used to identify the strength of the dynamo as the reversed toroidal field B\u003csmall\u003et\u003c/small\u003e(a) is mainly sustained by the dynamo. The deep F plasma corresponds to the strong dynamo.) The intermittency corresponds to the bursts of the negative spikes in MIR signal, which has a small-scale structure with high fluctuation amplitude. In the PPCD plasma, the intermittency is not observed and the confinement is improved as the soft-X-ray is increased by the factor of 100.\u003cbr /\u003e\u003cbr /\u003e The fluctuations around the field reversal surface are probably caused by the resistive interchange instabilities, because the high frequency fluctuations have the features of electrostatic turbulence, while the low frequency fluctuations are dominated by the low \u003ci\u003ek\u003c/i\u003e tearing modes. The high nonlinear coupling between the high \u003ci\u003ek\u003c/i\u003e modes and the low \u003ci\u003ek\u003c/i\u003e modes in the plasma without PPCD suggests that the dynamo and the electrostatic-like turbulence are correlated. The high intermittency at deep \u003ci\u003eF\u003c/i\u003e plasma is expected to be partly driven by the nonlinear interaction between electrostatic-like turbulence. Simulation of MIR signal suggests that the intermittency in MIR signal is caused by the blob structure, which scatters the reflected wave and leads to the rapid decrease of the reflected power (negative spike). This enhances the transport and decreases the confinement. \u003cbr /\u003e\u003cbr /\u003e In conclusion, this work is the first demonstration of MIR as the turbulence diagnostics. This is the first observation of the turbulence around the field reversal surface in RFP plasma. This work demonstrates how the dynamo and intermittent structures cause bad confinement.", "subitem_description_type": "Other"}]}, "item_1_description_7": {"attribute_name": "学位記番号", "attribute_value_mlt": [{"subitem_description": "総研大甲第1278号", "subitem_description_type": "Other"}]}, "item_1_select_14": {"attribute_name": "所蔵", "attribute_value_mlt": [{"subitem_select_item": "有"}]}, "item_1_select_16": {"attribute_name": "複写", "attribute_value_mlt": [{"subitem_select_item": "印刷物から複写可"}]}, "item_1_select_17": {"attribute_name": "公開状況", "attribute_value_mlt": [{"subitem_select_item": "application/pdf"}]}, "item_1_select_8": {"attribute_name": "研究科", "attribute_value_mlt": [{"subitem_select_item": "物理科学研究科"}]}, "item_1_select_9": {"attribute_name": "専攻", "attribute_value_mlt": [{"subitem_select_item": "10 核融合科学専攻"}]}, "item_1_text_10": {"attribute_name": "学位授与年度", "attribute_value_mlt": [{"subitem_text_value": "2009"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "SHI, Zhongbing", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "0", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2016-02-17"}], "displaytype": "simple", "download_preview_message": "", "file_order": 0, "filename": "甲1278_要旨.pdf", "filesize": [{"value": "369.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 369600.0, "url": {"label": "要旨・審査要旨", "url": "https://ir.soken.ac.jp/record/1492/files/甲1278_要旨.pdf"}, "version_id": "aeb62515-a149-49fc-8097-bf1862ca63ab"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2016-02-17"}], "displaytype": "simple", "download_preview_message": "", "file_order": 1, "filename": "甲1278_本文.pdf", "filesize": [{"value": "5.1 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 5100000.0, "url": {"label": "本文", "url": "https://ir.soken.ac.jp/record/1492/files/甲1278_本文.pdf"}, "version_id": "95e41a1b-6619-44ad-8a5c-34bb9c1ccdce"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "thesis", "resourceuri": "http://purl.org/coar/resource_type/c_46ec"}]}, "item_title": "Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry"}, {"subitem_title": "Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry", "subitem_title_language": "en"}]}, "item_type_id": "1", "owner": "21", "path": ["12"], "permalink_uri": "https://ir.soken.ac.jp/records/1492", "pubdate": {"attribute_name": "公開日", "attribute_value": "2010-06-09"}, "publish_date": "2010-06-09", "publish_status": "0", "recid": "1492", "relation": {}, "relation_version_is_last": true, "title": ["Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry"], "weko_shared_id": -1}
Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry
https://ir.soken.ac.jp/records/1492
https://ir.soken.ac.jp/records/14923d2d984c-a1e2-4fc4-8158-c7f28bfb8c08
名前 / ファイル | ライセンス | アクション |
---|---|---|
![]() |
||
![]() |
Item type | 学位論文 / Thesis or Dissertation(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2010-06-09 | |||||
タイトル | ||||||
タイトル | Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Study of turbulence in a reversed field pinch plasma by microwave imaging reflectometry | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_46ec | |||||
資源タイプ | thesis | |||||
著者名 |
石, 中兵
× 石, 中兵 |
|||||
フリガナ |
シ, ゾンビン
× シ, ゾンビン |
|||||
著者 |
SHI, Zhongbing
× SHI, Zhongbing |
|||||
学位授与機関 | ||||||
学位授与機関名 | 総合研究大学院大学 | |||||
学位名 | ||||||
学位名 | 博士(理学) | |||||
学位記番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 総研大甲第1278号 | |||||
研究科 | ||||||
値 | 物理科学研究科 | |||||
専攻 | ||||||
値 | 10 核融合科学専攻 | |||||
学位授与年月日 | ||||||
学位授与年月日 | 2009-09-30 | |||||
学位授与年度 | ||||||
2009 | ||||||
要旨 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The physics of turbulence is a key to understand the plasma confinement. In the reversed-field pinch (RFP) plasma, turbulence plays an important role to sustain the RFP configuration. However, the experimental study of the turbulence is not sufficient especially around the field reversal surface in the case of RFP plasma. Microwave imaging reflectometry (MIR) is expected to be a powerful tool for the turbulence measurement, because it provides the direct view of the 2D/3D image of the turbulence near the cutoff surface deeply into plasma. However, the turbulence study by using MIR has not been reported yet. This work presents the turbulence measurement around the reversal field surface in a large RFP device TPE-RX by using MIR.<br /><br /> In RFP, the reversed toroidal field in the edge region is sustained by the dynamo, which is driven by instabilities and turbulence. RFP also has an MHD turbulence suppression technique: the pulsed poloidal current drive (PPCD) operation. The MHD dynamo theory predicts that the fluctuations in the flow (v<sup>~</sup>) and the magnetic field (B<sup>~</sup>) form the equilibrium electromotive force (EMF)<v<sup>~</sup>×B<sup>~</sup><small>||</small>, where <small>||</small> denotes parallel to the magnetic field (it is poloidal at the reversal surface). Without PPCD operation, the ohm’s law is written as: ηJ<small>||</small>=<v<sup>~</sup>×B<sup>~</sup><small>||</small> . The dynamo <v<sup>~</sup>×B<sup>~</sup><small>||</small> can drive the poloidal current, which generates the reversed toroidal field. The PPCD operation generates the external electric field E<small>||</small>. In this case, the ohm's law is written as ηJ<small>||</small>=E<small>||</small>+ <v<sup>~</sup>×B<sup>~</sup><small>||</small>. The poloidal current is directly driven by E<small>||</small> without the help of the dynamo. As a result, the fluctuations in the PPCD plasma may be suppressed. So far various candidates for the RFP turbulence have been discussed: tearing instabilities, interchange instabilities and drift wave turbulence. Nevertheless, a definitive explanation still lacks. Therefore, comparison the turbulence around the field reversal surface between plasmas with PPCD and without PPCD may clarify the turbulence physics in the RFP plasma.<br /><br /> MIR is one of the new diagnostics to measure the 2D/3D density fluctuations. It is based on the microwave reflection at the density-dependent cutoff surface. MIR signal can be written as A<i>e<sup>iφ</sup></i>, where <i>A</i> is the amplitude and is the phase. The amplitude<i>A</i> is measured by a diode detector.<br />The phase is measured by a quadrature (IQ) detector, as φ=arctan<i>(Q/I)</i>, where <i>I</i>=cosφ, and Q=sinφ. In order to investigate the principles of MIR measurement, comparison between the simulation and a laboratory test of the MIR system has been carried out. The numerical model based on the Huygens-Fresnel equation is used to simulate the MIR signal. In this test, we found that φ corresponds to the displacement of the cutoff surface in the radial direction, and <i>A</i> corresponds to the reflection power, which is modulated by the shape of the cutoff surface. From the simulation and laboratory test, MIR is valid with the condition <i>4kδL/D<1</i> to measure the motion of the cutoff surface. Here <i>D</i> is the diameter of the optical lens. <i>L</i> is the distance between the cutoff surface and the optical lens. <i>k</i> and <i>δ</i> are the perpendicular wavenumber and the radial displacement of the fluctuation, respectively. The measured fluctuations in TPE-RX plasmas mainly distribute in the range of <i>4kδL/D</i><0.8 which suggests the present MIR system can make a clear image of the cutoff surface in plasma.<br /><br /> TPE-RX is one of the world largest RFP devices, which was built in National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan, and it has the major and the minor radii of <i>R</i>=1.72m and <i>a</i>=0.45m, respectively. All discharges in this work have the plasma density in the range of (0.5~1.0)×10<sup>19</sup> m<sup>-3</sup> and the plasma current in the range of 200~300 kA. In order to measure the density fluctuations around the reversal surface (<i>r/a</i>=0.7~0.9) in TPE-RX, we have developed a MIR system with the microwave frequency of 20 GHz (O-mode, the cutoffdensity is 0.5×10<sup>19</sup> m<sup>-3</sup>) and a 4 × 4 Yagi-Uda antenna array. In this system, the spatial resolution is 3.7 cm and the temporal resolution is 1μs.<br /><br /> Analysis techniques, which have been developed to study the turbulence in this work, are as follows: (1) the cross correlation, (2) the wavelet, (3) the maximum entropy method (MEM), (4) the fluctuation distributions (skewness and kurtosis), and (5) the bicoherence. The skewness and kurtosis are used to quantify the distribution of the fluctuations. By using wavelet analysis, the short-lived turbulent structures can be observed. The wavelet bicoherence is used to quantify the nonlinear interaction. The maximum entropy method (MEM) is useful to estimate the high resolution 2D<i>k</i> spectrum.<br /><br /> The observed features of the RFP turbulence around the field reversal surface in this work are as follows: <br /><br />(1) In the low <i>k</i> and the low frequency ranges, the MIR signal has a high correlation with the magnetic fluctuations. Without PPCD operation, the m=0 tearing modes (may be dynamo) are dominant. On the other hand, the m=1 tearing modes are dominant in the PPCD plasma.<br /><br />(2) In the high <i>k</i> and the high frequency ranges, MIR signal has a high correlation with the electrostatic fluctuations measured by the Langmuir probe. The <i>k</i> spectrum is broad and is shifted in the electron drift direction in the plasma without PPCD. The high nonlinear coupling between the high <i>k</i> modes and the low <i>k</i>modes is observed. While in the PPCD plasma, the high k mode has not been observed.<br /><br />(3) The intermittency is increased as the reversal parameter |F| is increased in the case of without PPCD. (Note: the reversal parameter F = B<small>t</small>(a)/<B<small>t</small>> can be used to identify the strength of the dynamo as the reversed toroidal field B<small>t</small>(a) is mainly sustained by the dynamo. The deep F plasma corresponds to the strong dynamo.) The intermittency corresponds to the bursts of the negative spikes in MIR signal, which has a small-scale structure with high fluctuation amplitude. In the PPCD plasma, the intermittency is not observed and the confinement is improved as the soft-X-ray is increased by the factor of 100.<br /><br /> The fluctuations around the field reversal surface are probably caused by the resistive interchange instabilities, because the high frequency fluctuations have the features of electrostatic turbulence, while the low frequency fluctuations are dominated by the low <i>k</i> tearing modes. The high nonlinear coupling between the high <i>k</i> modes and the low <i>k</i> modes in the plasma without PPCD suggests that the dynamo and the electrostatic-like turbulence are correlated. The high intermittency at deep <i>F</i> plasma is expected to be partly driven by the nonlinear interaction between electrostatic-like turbulence. Simulation of MIR signal suggests that the intermittency in MIR signal is caused by the blob structure, which scatters the reflected wave and leads to the rapid decrease of the reflected power (negative spike). This enhances the transport and decreases the confinement. <br /><br /> In conclusion, this work is the first demonstration of MIR as the turbulence diagnostics. This is the first observation of the turbulence around the field reversal surface in RFP plasma. This work demonstrates how the dynamo and intermittent structures cause bad confinement. | |||||
所蔵 | ||||||
値 | 有 |