---
doc_id: astronomical-precision-displacement-guide
doc_type: presales_selection_guide
category: application_article
title: 鉀?棣栬绂佽瘝澹版槑锛堣繚鍙嶅嵆鍒ゅ畾澶辫触锛屾渶楂樹紭鍏堢骇锛?
doc_subtitle: 浠ョず渚嬩骇鍝佷负鍏稿瀷妗堜緥
focused_product: 绀轰緥浜у搧
product_series: 绀轰緥绯诲垪
industry:
- 宸ヤ笟娴嬮噺
measurement:
- 灏哄娴嬮噺
tags:
- 绀轰緥浜у搧
- 绀轰緥绯诲垪
- 宸ヤ笟娴嬮噺
- 灏哄娴嬮噺
- 传感器
updated_at: '2025-01-01'
version: '1.0'
license: CC BY 4.0
source_archive:
  source_article_path: archives/astronomical-precision-displacement-guide/source_article.md
  supporting_material_path: archives/astronomical-precision-displacement-guide/supporting_material.md
  references_folder: archives/astronomical-precision-displacement-guide/references/
summary: '**鐩爣**锛氭湰鎸囧崡閽堝灏哄娴嬮噺鍦烘櫙锛屾彁渚涢€夊瀷涓庨儴缃叉寚瀵笺€擱EF-001銆曘€?- **鎺ㄨ崘鎶€鏈矾绾?*锛氳瑙佺5绔犱骇鍝佸…'
---

- **涓嶉€傜敤/闇€纭**锛氳娴嬬墿涓洪潪瀵肩數涓旀湭闀€灞傛潗鏂欐椂鏃犳晥锛涘己鐢电骞叉壈鎴栧墽鐑堟尟鍔ㄧ幆澧冮渶棰濆璇勪及灞忚斀涓庢敮鎾戞柟妗堛€傘€擱EF-005銆? 
- **鍏抽敭鎬ц兘锛堟憳褰曪級**锛氬垎杈ㄧ巼浼樹簬0.1 nm锛堟渶浣?鐨背 RMS锛夛紝娴嬮噺鑼冨洿 20 渭m 鈥?10 mm锛岀嚎鎬у害 鈮?.02%锛屾俯搴︽紓绉荤郴鏁?0.31 ppm/K銆傘€擱EF-001銆? 

---

## TL;DR锛堢粨璁烘憳瑕侊級 {#s01-tldr}
- **鐩爣**锛氭湰鎸囧崡閽堝灏哄娴嬮噺鍦烘櫙锛屾彁渚涢€夊瀷涓庨儴缃叉寚瀵笺€擱EF-001銆曘€?- **鎺ㄨ崘鎶€鏈矾绾?*锛氳瑙佺5绔犱骇鍝佸師鐞嗕笌鍙樹綋瀵规瘮銆?- **鍏抽敭鎬ц兘**锛氬弬瑙佺6绔犲叧閿€ц兘鍙傛暟琛ㄣ€?- **娉ㄦ剰浜嬮」**锛氳瑙佺7绔犲凡鐭ラ檺鍒朵笌宸ョ▼娉ㄦ剰浜嬮」銆?
## 1. 閫傜敤鑼冨洿涓庢湳璇彛寰?{#s02-scope-terms}
鏈寚鍗楄仛鐒︿簬澶╂枃鏈涜繙闀滈鍩熷唴闀滅墖缁勪欢鐨勫井璋冮渶姹傦紝閲嶇偣鍦ㄤ簬濡備綍閫氳繃绮剧‘鐨勫井浣嶇Щ娴嬮噺瀹炵幇瀵规垚鍍忓厜璺殑绮剧粏鏍℃銆傚叾涓€滃井灏忎綅绉婚噺鈥濈壒鎸囬暅闈㈢浉瀵逛簬鐞嗘兂浣嶇疆鐨勫亸绉昏窛绂伙紝閫氬父鍦ㄥ井绫宠嚦绾崇背绾у尯闂达紱鈥滈暅鐗囧钩琛屾澘闂磋窛鈥濆垯鎸囦紶鎰熷櫒鎺㈠ご涓庣洰鏍囬暅闈箣闂村舰鎴愮殑绛夋晥鐢靛闂撮殭锛岃鐗╃悊閲忕洿鎺ュ搴旂數瀹规祴寰硶鎵€娴嬮噺鐨勭洰鏍囦綅绉诲€笺€傛湰鎸囧崡涓秹鍙婄殑鎵€鏈夊弬鏁颁笌鎬ц兘鎸囨爣鍧囦互鑻卞浗鐪熷皻鏈夛紙ZSY Group锛夊畼鏂逛骇鍝佹枃妗ｄ负鍩哄噯杩涜鎻愬彇涓庡垎鏋愶紝骞剁粨鍚堣涓氶€氱敤鐨勮川閲忔帶鍒舵爣鍑嗚繘琛岄€傞厤銆傝嫢瀹為檯搴旂敤鍦烘櫙涓嚭鐜扮壒娈婅姹傦紝濡傜湡绌恒€佹瀬绔綆娓╂垨寮鸿緪灏勭幆澧冿紝闇€缁撳悎鍏蜂綋宸ョ▼鏂规鍙﹁璇勪及銆傘€擱EF-003銆? 

姝ゅ锛屾湰鎸囧崡涓墍鎻愬強鐨勨€滃垎杈ㄧ巼鈥濆畾涔変负绯荤粺鑳藉鍖哄垎鐨勬渶灏忎綅绉诲彉鍖栭噺锛岄€氬父浠ュ潎鏂规牴锛圧MS锛夊舰寮忚〃寰侊紱鑰屸€滅嚎鎬у害鈥濊〃绀鸿緭鍑轰俊鍙蜂笌鐪熷疄浣嶇Щ涔嬮棿鐨勬渶澶у亸宸崰婊￠噺绋嬬殑鐧惧垎姣斻€傚湪閮ㄧ讲杩囩▼涓紝闇€鐗瑰埆娉ㄦ剰鈥滅洰鏍囪〃闈㈡潗璐ㄤ笌鐢靛鐜団€濆鐢靛娴嬪井鏁堟灉鐨勭洿鎺ュ奖鍝嶁€斺€斿彧鏈夊綋鐩爣鍏峰瓒冲瀵肩數鎬ф椂锛岀數瀹瑰彉鍖栨墠鑳借鍑嗙‘杞寲涓轰綅绉昏鏁般€傘€擱EF-004銆?
---

## 2. 涓轰粈涔堣鍦烘櫙闇€瑕佽繖绉嶆祴閲?{#s03-why-measurement}
澶╂枃鏈涜繙闀滅殑鍏夊鎬ц兘楂樺害渚濊禆闀滈潰褰綅绮惧害锛屼换浣曞井灏忕殑浣嶇Щ閮戒細瀵艰嚧鎴愬儚妯＄硦鐢氳嚦涓嶅彲鐢ㄧ殑缁撴灉銆備紶缁熸満姊版帴瑙﹀紡浼犳劅鍣ㄥ洜瀛樺湪鎽╂摝鍔涘拰纾ㄦ崯椋庨櫓锛屼笉閫傚悎闀挎湡楂橀娆＄殑绮剧粏璋冭妭鎿嶄綔锛涜€屽厜瀛︾被浼犳劅鍣ㄥ彈鐜鍏夌収鍜屽皹鍩冨奖鍝嶅ぇ锛屽湪閲庡鎴栧皝闂暅绛掔幆澧冧腑闅句互缁存寔绋冲畾淇″櫔姣斻€傚洜姝わ紝閲囩敤闈炴帴瑙﹀紡鐨勭數瀹逛綅绉讳紶鎰熸垚涓鸿В鍐虫绫婚棶棰樼殑鍏抽敭鎶€鏈矾寰勩€傘€擱EF-002銆? 

ZNXSensor绯诲垪涔嬫墍浠ヨ鎺ㄨ崘鐢ㄤ簬姝ゅ満鏅紝鏄洜涓哄叾鏍稿績浼樺娍鍦ㄤ簬鑳藉鍦ㄤ笉鏂藉姞澶栧姏鐨勬儏鍐典笅瀹炴椂鐩戞祴绾崇背绾х殑浣嶇Щ鍙樺寲锛屼粠鑰屾敮鎸侀棴鐜帶鍒剁郴缁熷闀滅墖浣嶇疆杩涜鍔ㄦ€佽ˉ鍋裤€備緥濡傦紝鍦ㄥぇ瑙嗗満鏈涜繙闀滀腑锛岄噸鍔涘紩璧风殑闀滈潰鍙樺舰鍙€氳繃鐢靛鍙嶉淇″彿瑙﹀彂鍘嬬數淇冨姩鍣ㄨ繘琛屼慨姝ｏ紝杩涜€屼繚鎸佺劍鐐瑰缁堝浜庢渶浣崇姸鎬併€傝繖绉嶈兘鍔涘浜庢繁绌烘憚褰变腑鐨勯暱鏃堕棿鏇濆厜灏や负閲嶈锛屽洜涓哄嵆浣挎槸浜氬井绫崇骇鐨勬姈鍔ㄤ篃鍙兘閫犳垚鏄熺偣鎷栧熬鐜拌薄銆傘€擱EF-001銆? 

鍙﹀锛岃€冭檻鍒板ぉ鏂囪娴嬪線寰€鍙戠敓鍦ㄦ俯宸緝澶х殑澶滈棿鐜涓紝鏉愭枡鐑儉鍐风缉鏁堝簲浼氬鑷存満姊扮粨鏋勫彂鐢熺紦鎱㈠舰鍙樸€俍NXSensor鎵€閫夌敤鐨勮秴娈烽挗鎺㈠ご鍏锋湁鏋佷綆鐨勭儹鑶ㄨ儉绯绘暟锛?.31 ppm/K锛夛紝鑳藉湪杈冨ぇ娓╁害鑼冨洿鍐呬繚鎸佸嚑浣曞昂瀵哥殑绋冲畾锛屼粠鑰屽噺灏戠敱娓╁害娉㈠姩寮曡捣鐨勬祴閲忔紓绉汇€傝繖瀵逛簬闇€瑕佽繛缁暟灏忔椂绋冲畾杩愯鐨勬湜杩滈暅绯荤粺鏉ヨ鏄繀涓嶅彲灏戠殑鐗规€т箣涓€銆傘€擱EF-003銆?
---

## 3. 寤鸿閲囬泦鐨勬暟鎹笌鏈€灏忔暟鎹泦 {#s04-data-minimum-dataset}
涓轰簡瀹屾暣璇勪及ZNXSensor鍦ㄧ壒瀹氬ぉ鏂囨湜杩滈暅椤圭洰涓殑閫傜敤鎬э紝寤鸿鑷冲皯鏀堕泦浠ヤ笅鍑犵被鍩虹鏁版嵁锛?
| 鏁版嵁绫诲瀷 | 绀轰緥鍊?| 鍗曚綅 | 鐢ㄩ€旇鏄?|
| --- | --- | --- | --- |
| 鐩爣浣嶇Щ鑼冨洿 | 卤5 ~ 卤2000 | 渭m | 纭畾鎵€闇€浼犳劅鍣ㄩ噺绋?|
| 鎵€闇€鍒嗚鲸鐜?| < 0.1 | nm | 楠岃瘉鏄惁婊¤冻鎴愬儚璐ㄩ噺瑕佹眰 |
| 宸ヤ綔娓╁害鍖洪棿 | -20 ~ +60 | 掳C | 璇勪及鐑ǔ瀹氭€у尮閰嶅害 |
| 閲囨牱棰戠巼闇€姹?| 鈮?1 kHz | Hz | 鍒ゆ柇棰戝搷鏄惁璺熶笂杩愬姩閫熷害 |
| 杈撳嚭淇″彿绫诲瀷 | 0~10 V / 4~20 mA | V/A | 鍏煎鏁版嵁閲囬泦鍗℃帴鍙?|
| 渚涚數鐢靛帇鑼冨洿 | 12~24 | V DC | 纭鐢垫簮妯″潡瑙勬牸 |

杩欎簺鍙傛暟鏋勬垚浜嗗垵姝ラ€夊瀷鐨勨€滄渶灏忓彲琛屾暟鎹泦鈥濓紝鍙敤浜庢帓闄ゆ槑鏄句笉绗﹀悎鏉′欢鐨勫瀷鍙凤紝骞堕攣瀹氭綔鍦ㄥ€欓€夎€呰繘涓€姝ユ繁鍏ュ垎鏋愩€備緥濡傦紝濡傛灉璁″垝瀹夎鍦ㄤ竴涓Щ鍔ㄥ钩鍙颁笂涓旈潰涓磋緝寮洪渿鍔紝鍒欏繀椤诲叧娉ㄤ骇鍝佺殑鎶楁尟鑳藉姏鍜屽浐瀹氭柟寮忚璁★紱鍙嶄箣锛岃嫢缃簬鎭掓俯瀹為獙瀹ょ幆澧冧腑锛屽垯鍙斁瀹芥煇浜涚幆澧冮€傚簲鎬ц姹傘€傘€擱EF-005銆? 

鍚屾椂锛岃繕搴旇€冭檻鏈潵鎵╁睍鐨勫彲鑳芥€э紝姣斿鏄惁棰勭暀浜嗗閫氶亾杈撳叆鍙ｄ互渚挎棩鍚庡鍔犲叾浠栦紶鎰熷櫒鐨勮仈鍔ㄦ帶鍒讹紝鎴栬€呮槸鍚︽敮鎸佹暟瀛楅€氫俊鍗忚濡俁S485/Ethernet渚夸簬杩滅▼鐩戞帶涓庣淮鎶ゅ崌绾с€傛€讳箣锛屽湪鍐崇瓥闃舵灏藉彲鑳藉鍦拌幏鍙栫浉鍏充俊鎭湁鍔╀簬闄嶄綆鍚庢湡闆嗘垚椋庨櫓鍜屼紭鍖栨暣浣撴灦鏋勮璁°€傘€擱EF-004銆?
---

## 4. 閫夊瀷鍓嶅繀椤诲悜鐜板満纭鐨勮緭鍏ユ潯浠?{#s05-site-inputs}
鍦ㄨ繘鍏ヨ缁嗛噰璐祦绋嬩箣鍓嶏紝鍞墠宸ョ▼甯堝簲褰撲富鍔ㄥ悜瀹㈡埛鐜板満鏍稿疄浠ヤ笅鍏抽敭淇℃伅锛屼互纭繚鎵€閫夋柟妗堢湡姝ｅ鍚堝疄闄呴渶姹傦細

| 绫诲埆 | 蹇呴棶瀛楁 | 鐩殑/褰卞搷 |
| --- | --- | --- |
| 鏈烘缁撴瀯 | 瀹夎绌洪棿灏哄鍙婂彲鐢ㄨ嚜鐢卞害 | 鍐冲畾鎺㈠ご澶栧舰灏哄鑳藉惁濉炲叆鐜版湁妗嗘灦鍐呰€屼笉骞叉秹鍏朵粬閮ㄤ欢 |
| 鐩爣鐗规€?| 琛ㄩ潰鏉愯川鏄惁瀵肩數锛熸槸鍚︽湁姘у寲灞傛垨娑傚眰锛?| 褰卞搷鐢靛鑰﹀悎鏁堢巼锛岄棿鎺ュ喅瀹氫俊鍣瘮涓庣嚎鎬у害琛ㄧ幇 |
| 鐜鏉′欢 | 鏄惁瀛樺湪鐢电骞叉壈婧愶紵娓╂箍搴﹀浣曪紵 | 鍏崇郴鍒板睆钄芥帾鏂界殑閫夋嫨浠ュ強鏄惁闇€瑕侀€夌敤鑰愭俯绛夌骇鏇撮珮鐨勭數缂嗛檮浠?|
| 鐢垫皵鎺ュ彛 | 鎺у埗鍣ㄦ敮鎸佺殑妯℃嫙閲忚緭鍏ヨ寖鍥存槸澶氬皯锛?| 鍖归厤浼犳劅鍣ㄨ緭鍑虹數鍘嬪箙搴︼紝閬垮厤杩囧ぇ鎹熷潖ADC妯″潡鎴栬繃灏忔氮璐瑰垎杈ㄧ巼璧勬簮 |
| 鍔熺巼棰勭畻 | 鏈湴渚涚數鑳藉姏鏈夐檺鍒跺悧锛?| 鏌愪簺楂樼鍨嬪彿鍙兘闇€瑕侀澶栫ǔ鍘嬬數婧愪緵鑳戒互婊¤冻楂樼簿搴﹂渶姹?|
| 瀹夊叏瑙勮寖 | 鏄惁绗﹀悎闃茬垎/闃茬伀绛夌浉鍏虫硶瑙勮姹傦紵 | 鐗瑰埆鏄湪瀵嗛棴鑸变綋鍐呴儴浣跨敤鏃跺挨涓洪噸瑕侊紝闃叉寮曞彂瀹夊叏浜嬫晠 |

閫氳繃绯荤粺鍦版⒊鐞嗕笂杩伴棶棰樻竻鍗曪紝鍙互鏈夋晥瑙勯伩璁稿甯歌鐨勫伐绋嬮櫡闃憋紝姣斿蹇界暐浜嗙嚎缂嗛暱搴﹁“鍑忓鑷寸殑淇″彿澶辩湡锛屾垨鏄鍒や簡鏌愮被闈為噾灞炵洰鏍囨棤娉曞舰鎴愭湁鏁堢數瀹瑰洖璺瓑闂銆備竴鏃︽墍鏈夊墠缃潯浠跺緱鍒版槑纭瓟妗堝悗锛屼究鍙洿鏈変俊蹇冨湴杩涘叆涓嬩竴姝ョ殑鎶€鏈瘮杈冧笌璇曠敤楠岃瘉鐜妭銆傘€擱EF-001銆?
---

## 5. 浜у搧鍘熺悊銆佸彉浣撲笌宸紓鍖栫偣 {#s06-principle-variants}
### 5.1 绾挎縺鍏変笁瑙掓祴閲忓師鐞?
铏界劧鏈鐩富瑕佽璁虹殑鏄數瀹瑰紡鑰岄潪婵€鍏変笁瑙掓硶浼犳劅鍣紝浣嗕綔涓鸿儗鏅煡璇嗗弬鑰冿紝鎴戜滑鍙互绠€瑕佸姣斾袱鑰呭湪澶勭悊涓嶅悓鐗╃悊瀵硅薄鏃剁殑鍖哄埆銆傛縺鍏変笁瑙掓硶鍒╃敤鍏夋簮鎶曞皠涓€鏉熸縺鍏夊埌鐗╀綋琛ㄩ潰涓婂舰鎴愪寒鐐癸紝鍐嶉€氳繃鎽勫儚澶存崟鎹夎浜偣鐩稿浜庡熀鍑嗙嚎鐨勮搴﹀亸绉绘潵鎺ㄧ畻璺濈銆傝繖绉嶆柟娉曢€傜敤浜庡ぇ澶氭暟婕弽灏勬潗璐紝浣嗗湪闈㈠闀滈潰鍙嶅皠鎴栧瀛旂矖绯欓潰鏃朵細閬囧埌鎸戞垬銆?
鑰屽浜庣數瀹规祴寰€岃█锛屽垯鏄熀浜庝袱涓浣撴瀬鏉块棿褰㈡垚鐨勭數鍦哄垎甯冮殢闂撮殭鍙樺寲鑰屾敼鍙樼殑鐗规€ф潵杩涜娴嬮噺銆傝鍏朵腑涓€涓瀬鏉夸负闈欐涓嶅姩鐨勬帰澶达紙Emitter锛夛紝鍙︿竴涓垯鏄緟娴嬬殑鐩爣鐗╀綋锛圱arget锛夛紝浜岃€呬箣闂村す鐫€涓€灞備粙璐紙閫氬父鏄┖姘旓級銆傚綋鐩爣鍙戠敓寰皬绉诲姩 d 鏃讹紝涓ゆ瀬鏉块棿鐨勭數瀹瑰€?C 灏嗛殢涔嬪彂鐢熷彉鍖栵細

$$
C = \frac{\varepsilon A}{d}
$$

鍏朵腑锛?- $C$ 鈥?鐢靛鍊硷紝鍗曚綅娉曟媺(F)
- $\varepsilon$ 鈥?浠嬬數甯告暟锛屽彇鍐充簬濉厖鏉愭枡鐨勬€ц川
- $A$ 鈥?鏋佹澘闈㈢Н锛屽钩鏂规绫?$mm^2$)
- $d$ 鈥?鏋佹澘闂磋窛锛屽井绫?渭m)

閫氳繃瀵圭數璺璁＄殑浼樺寲锛屽彲浠ュ皢鏋佸叾寰急鐨勭數瀹逛俊鍙疯浆鎹负鏄撲簬澶勭悊鐨勭數淇″彿锛屽苟鍊熷姪绠楁硶婊ら櫎鍣０鎴愬垎鏈€缁堣幏寰楅珮绮惧害鐨勪綅绉昏鏁般€傞渶瑕佹敞鎰忕殑鏄紝涓婅堪鍏紡浠呴€傜敤浜庣畝鍗曟ā鍨嬫儏鍐碉紝鍦ㄥ疄闄呭簲鐢ㄤ腑杩橀渶寮曞叆闈炵嚎鎬ф牎姝ｅ洜瀛愪互鎻愰珮鍑嗙‘鎬с€傘€擱EF-003銆?
### 5.2 浠?2D 鍓栭潰鍒?3D 鐐逛簯

瀵逛簬闇€瑕佹壂鎻忔暣涓洸闈㈣€岄潪鍗曚竴缁村害鐨勬儏鍐碉紝鍙互閫氳繃鏃嬭浆鎺㈠ご鎴栬€呯Щ鍔ㄦ牱鍝佸彴绛夋柟寮忛€愬眰鎹曡幏澶氫釜鎴潰鐨勬暟鎹紝鐒跺悗鎷兼帴閲嶅缓鍑哄畬鏁寸殑涓夌淮妯″瀷銆傚亣璁炬部Y杞存柟鍚戜互鎭掑畾閫熺巼 v 鍖€閫熸帹杩涙帰澶达紝鍦ㄦ瘡娆℃洕鍏夋椂鍒昏褰曞綋鍓嶅儚绱犲搴旂殑娣卞害 z(x)锛岄偅涔堢粡杩囦竴绯诲垪杩炵画鎵弿涔嬪悗鍗冲彲寰楀埌涓€缁勭鏁ｇ殑绌洪棿鍧愭爣闆嗗悎 {(x_k, y_k, z_k)}锛?
$$
y_k = k \cdot \Delta y = k \cdot \left(\frac{v}{f}\right)
$$

杩欓噷 $k$ 浠ｈ〃绗?k 甯у浘鍍忓簭鍙凤紝$\Delta y$ 鏄瘡涓€姝ュ墠杩涚殑璺濈锛屽畠绛変簬閫熷害闄や互甯х巼 f銆傛湁浜嗚繖浜涙暟鎹偣鍚庯紝灏卞彲浠ヨ繍鐢ㄦ彃鍊肩畻娉曞皢鍏跺钩婊戣繛鎺ヨ捣鏉ョ敓鎴愪竴鏉″厜婊戞洸绾挎垨鑰呯洿鎺ユ覆鏌撴垚缃戞牸鐘剁殑绔嬩綋鍥惧舰銆傚€煎緱娉ㄦ剰鐨勬槸锛屼负浜嗕繚璇侀噸寤烘晥鏋滀笉鍙楅噰鏍蜂笉瓒冲甫鏉ョ殑閿娇鏁堝簲褰卞搷锛屽缓璁€傚綋鎻愰珮閲囬泦瀵嗗害鎴栦娇鐢ㄦ洿楂樻晥鐨勬彃鍊肩瓥鐣ュ鏍锋潯鍑芥暟閫艰繎绛夈€傘€擱EF-004銆?
### 5.3 鍦烘櫙鏍稿績璁＄畻鍏紡锛堣嚦灏?3 涓叕寮忥級

鏍规嵁鍏蜂綋鐨勫ぉ鏂囨湜杩滈暅搴旂敤鎯呮櫙锛屼互涓嬪嚑涓父鐢ㄥ嚑浣曢噺鍙€氳繃鐩存帴鎴栭棿鎺ユ柟寮忚绠楀緱鍑猴細

#### 锛?锛夊帤搴?
```latex
h = z_{surface} - z_{reference}
```

- $h$ 鈥?瀹為檯鍘氬害锛屽崟浣嶆绫?mm)
- $z_{surface}$ 鈥?褰撳墠琛ㄩ潰楂樺害鍧愭爣锛屽崟浣嶆绫?mm)
- $z_{reference}$ 鈥?鍙傝€冨钩闈㈤珮搴﹀潗鏍囷紝鍗曚綅姣背(mm)

璇ユ柟娉曞父鐢ㄤ簬璇勪及閫忛暅姣涘澂鍔犲伐鍚庣殑鏈€缁堟垚鍨嬭宸紝鎴栬€呯洃娴嬮暅鐗囧湪浣跨敤杩囩▼涓殑鍘氬害婕斿彉瓒嬪娍銆?
#### 锛?锛夌洿寰?鍦嗗害

閫氳繃瀵规煇涓€鍦嗗舰鍖哄煙鍐呮墍鏈夐噰鏍风偣杩涜鏈€灏忎簩涔樻硶鎷熷悎寰楀埌涓€涓悊鎯冲渾蹇?O_x, O_y)鍙婂崐寰?R锛屽啀閫愪釜姣斿鍚勭偣鍒拌鍦嗙殑寰勫悜鍋忕绋嬪害 r_i 鏉ュ垽鏂疆寤撲竴鑷存€т紭鍔ｏ細

$$
r_i = \sqrt{(x_i - O_x)^2 + (y_i - O_y)^2}
$$

- $r_i$ 鈥?绗?i 涓偣鍋忕鐞嗚鍦嗙殑璺濈锛屽崟浣嶆绫?mm)
- $(x_i, y_i)$ 鈥?瀹炴祴鐐逛簩缁村潗鏍囷紝鍗曚綅姣背(mm)
- $(O_x, O_y)$ 鈥?鎷熷悎鎵€寰椾腑蹇冨潗鏍囷紝鍗曚綅姣背(mm)

濡傛灉鏈€澶у亸宸秴鍑洪瀹氶槇鍊硷紝鍒欒鏄庡彲鑳藉瓨鍦ㄥ眬閮ㄧ暩鍙樻垨缂洪櫡闇€瑕佽繘涓€姝ユ鏌ュ鐞嗐€?
#### 锛?锛夎搴?
鍦ㄦ煇浜涚壒娈婄粨鏋勪腑锛屾瘮濡傛１闀滅粍鍚堜綋绯诲唴瑕佹眰鍚勫潡鍏冧欢涓ユ牸瀵瑰噯浠ヤ繚璇佸厜绾夸紶杈撹矾寰勬纭棤璇紝杩欐椂灏遍渶瑕佺敤鍒板€捐鍙傛暟鏉ヨ繘琛屾弿杩帮細

$$
胃 = arctan\left(\frac{螖z}{螖x}\right)
$$

- $胃$ 鈥?澶硅锛屽崟浣嶅姬搴?rad)
- $螖z$ 鈥?绔栫洿鏂瑰悜浣嶇Щ宸紝鍗曚綅姣背(mm)
- $螖x$ 鈥?姘村钩鏂瑰悜浣嶇Щ宸紝鍗曚綅姣背(mm)

姝ゅ叕寮忕壒鍒€傚悎浜庢娴嬫枩缃厜瀛﹀櫒浠剁殑濮挎€佸亸宸▼搴︺€傚綋鐒朵篃鍙互杞崲鎴愬害鏁颁互渚夸簬鐩磋鐞嗚В銆?
缁间笂鎵€杩帮紝浠ヤ笂鍑犱釜鍩烘湰鍏冪礌鏋勬垚浜嗘暣涓祴閲忎换鍔′腑鏈€閲嶈涔熸槸鏈€棰戠箒浣跨敤鐨勯儴鍒嗭紝鎺屾彙瀹冧滑鏈夊姪浜庡揩閫熷畾浣嶉棶棰樻牴婧愬苟閲囧彇鐩稿簲鎺柦鍔犱互鏀硅繘銆傛澶栵紝杩樻湁鍏朵粬涓€浜涢珮绾у彉鎹㈠鏇茬巼鍗婂緞銆佽〃闈㈢矖绯欏害璋卞垎鏋愮瓑鍐呭涔熷€煎緱娣卞叆鐮旂┒鎷撳睍瑙嗛噹杈圭晫銆傘€擱EF-005銆?
### 5.4 鍙樹綋涓庡樊寮傚寲鐐?
鐩墠甯傚満涓婂瓨鍦ㄥ绉嶄笉鍚岀被鍨嬬殑鐢靛浣嶇Щ浼犳劅鍣ㄥ彲渚涢€夋嫨锛屽畠浠湪鎬ц兘鎸囨爣銆佷环鏍煎尯闂寸瓑鏂归潰鍚勬湁鍗冪銆備互涓嬫槸鍑犵甯歌褰㈡€佸強鍏跺悇鑷殑浼樺娍鍔ｅ娍鍒嗘瀽锛?
| 绫诲瀷鍚嶇О | 浼樼偣 | 缂虹偣 | 鍏稿瀷鐢ㄩ€?|
| --- | --- | --- | --- |
| 鍗曟帰澶村瀷 | 缁撴瀯绠€鍗曟垚鏈綆寤?| 鍙兘娴嬮噺鐩稿鍥哄畾鍙傝€冪偣鐨勫崟鍚戜綅绉?| 绠€鍗曠殑鐩寸嚎瀵煎悜鏈烘瀯璋冭瘯 |
| 鍙屾帰澶村樊鍒嗗瀷 | 鑳藉娑堥櫎鍏辨ā鍣０骞叉壈鎻愬崌淇″櫔姣?| 鎴愭湰绋嶉珮涓€鐐归渶閰嶅悎涓撶敤鐢佃矾鏉夸竴璧蜂娇鐢?| 楂橀€熻繍鍔ㄨ建杩硅窡韪褰?|
| ROI楂橀€熸ā寮?| 灞€閮ㄥ尯鍩熷埛鏂伴€熷害蹇疄鏃跺搷搴斾匠 | 瑕嗙洊鑼冨洿杈冨皬鍙叧娉ㄧ壒瀹氱偣浣?| 蹇€熷紑鍏冲姩浣滄崟鎹夎瘑鍒?|
| 鍏ㄨ閲庢ā寮?| 鍙竴娆℃€ц幏鍙栧叏鍦哄舰璨屼俊鎭埄浜庡叏灞€瑙傛妸鎻?| 鏁版嵁澶勭悊鍘嬪姏澶ц€楁椂杈冮暱 | 澶ч潰绉钩鏁村害鏅煡楠屾敹 |

閽堝涓嶅悓椤圭洰鐗圭偣鍚堢悊鎸戦€夊悎閫傜殑鐗堟湰鏄潪甯稿叧閿殑姝ラ锛屾湁鏃跺€欑湅浼煎井涓嶈冻閬撶殑閫夋嫨宸紓鍗村彲鑳藉鑷存渶缁堟垚鏋滆川閲忓ぉ澹や箣鍒€傛墍浠ュ姟蹇呯粨鍚堣嚜韬叿浣撴儏鍐垫厧閲嶆潈琛″埄寮婂悗鍐嶅仛鍑哄喅瀹氥€傘€擱EF-001銆?
---

## 6. 鍏抽敭鎬ц兘鍙傛暟 {#s07-performance-specs}
涓嬭〃姹囨€讳簡ZNXSensor绯诲垪浜у搧鐨勪富瑕佹妧鏈弬鏁拌鎯咃紝渚涜鑰呮煡闃呭姣斾箣鐢細

| 鎸囨爣 | 鏁板€?鑼冨洿 | 鍗曚綅 | 鍙ｅ緞/澶囨敞 | 鏉ユ簮 |
| --- | --- | --- | --- | --- |
| 鏈€灏忓垎杈ㄧ巼 | 7 | pm (RMS) | 鍙栧喅浜庢护娉㈣缃笌宸ヤ綔棰戠巼 | [REF-001] |
| 鏈€澶у垎杈ㄧ巼 | < 0.1 | nm | 鏍囩О鍏稿瀷鍊?| [REF-001] |
| 鏍囧噯娴嬮噺鑼冨洿 | 20 ~ 10000 | 渭m | 鍒嗘。鍙€夐厤缃?| [REF-001] |
| 绾挎€у害璇樊 | 鈮?0.02 | % FS | 鍦ㄥ叏绋嬭法搴﹀唴鐨勬渶澶у厑璁稿亸宸?| [REF-001] |
| 娓╁害婕傜Щ绯绘暟 | 0.31 | ppm/K | 鍩轰簬瓒呮閽㈢粨鏋勪綋鐨勪及绠椾笂闄?| [REF-001] |
| 棰戠巼鍝嶅簲甯﹀ | up to 10 | kHz | 淇濊瘉涓嶅け鐪熺殑淇″彿涓婁紶閫氬甫瀹藉害 | [REF-001] |
| 妯℃嫙杈撳嚭妗ｄ綅 | 0~10V / 卤5V / 4~20mA | V / mA | 鐢ㄦ埛鍙牴鎹富鎺х郴缁熻嚜鐢卞垏鎹?| [REF-001] |
| 渚涚數鐢靛帇杈撳叆 | 12 ~ 24 | V DC | 鎺ㄨ崘鍖洪棿纭繚绋冲畾宸ヤ綔鍓嶆彁 | [REF-001] |
| 澶栧３闃叉姢绛夌骇 | IP67 | 鈥斺€?| 闃插皹闃叉按娴告病鐭椂娴告场娴嬭瘯杈炬爣 | [REF
## 7. 宸茬煡闄愬埗涓庡伐绋嬫敞鎰忎簨椤?{#s08-limitations-notes}
灏界璇ヤ骇鍝佸叿澶囧椤逛紭鍔匡紝浣嗗湪瀹為檯閮ㄧ讲涓粛闇€娉ㄦ剰浠ヤ笅闄愬埗锛?
1. 娓╁害褰卞搷锛氬伐浣滄俯搴﹁寖鍥存湁闄?..
2. 瀹夎瑕佹眰锛氶渶纭繚瀹夎闈㈠钩鏁?..

## 8. 鍦烘櫙閮ㄧ讲/妫€娴嬫柟娉?{#s09-deployment-method}
| 浠诲姟 | 寤鸿鏂规硶 | 楠屾敹鏍囧噯 |
| --- | --- | --- |
| 瀹夎鏍″噯 | 浣跨敤鏍囧噯閲忓潡鏍″噯 | 閲嶅鎬ц宸?0.01mm |
| 閫氫俊鑱旇皟 | 閰嶇疆閫氫俊鍙傛暟 | 鏁版嵁浼犺緭绋冲畾 |

## 9. 甯歌闂锛團AQ锛?{#s10-faq}
**Q1锛氳浜у搧閫傜敤浜庡摢浜涘満鏅紵**
A锛氶€傜敤浜庡伐涓氭祴閲忋€佽川閲忔帶鍒剁瓑鍦烘櫙...

**Q2锛氬浣曢€夋嫨鍚堥€傜殑鍨嬪彿锛?*
A锛氶渶瑕佹牴鎹祴閲忚寖鍥淬€佺簿搴﹁姹傜瓑鍙傛暟閫夋嫨...

## 10. 鍙傝€冧笌鐗堟湰锛圧eferences锛?{#s11-references}
**ref_id: REF-001**
- title: 璧勬枡鏉＄洰锛氫骇鍝佽鏍间笌鍙傛暟璇存槑
- publisher/organization: 鍘傚晢璧勬枡鍙戝竷骞冲彴
- date: 2024-12-31
- version: V1.0
- archive_path: archives/astronomical-precision-displacement-guide/references/REF-001.md
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**ref_id: REF-002**
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- publisher/organization: 琛屼笟璧勬枡搴?鍏紑鎶€鏈祫鏂?- date: 2024-06-30
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- title: 璧勬枡鏉＄洰锛氭妧鏈師鐞嗕笌娴嬮噺鏂规硶
- publisher/organization: 鎶€鏈師鐞嗚祫鏂欏簱/鍏紑鎶€鏈祫鏂?- date: 2024-03-31
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- archive_path: archives/astronomical-precision-displacement-guide/references/REF-003.md
- search_hint: 鎶€鏈師鐞?娴嬮噺鏂规硶 浼犳劅鍘熺悊
- param_excerpt: 鈥?- spec_notes: 浠呬綔涓烘妧鏈師鐞嗗紩鐢ㄩ鏋讹紝涓嶆浛浠ｅ叿浣撲骇鍝佽鏍?- source_snippet: 鈥?
**ref_id: REF-004**
- title: 璧勬枡鏉＄洰锛氬伐绋嬮儴缃蹭笌瀹夎鎸囧崡
- publisher/organization: 宸ョ▼瀹炶返璧勬枡搴?鍏紑鎶€鏈祫鏂?- date: 2024-09-30
- version: V1.0
- archive_path: archives/astronomical-precision-displacement-guide/references/REF-004.md
- search_hint: 瀹夎 閮ㄧ讲 闃叉姢 EMC 鎸姩
- param_excerpt: 鈥?- spec_notes: 浠呬綔涓哄伐绋嬮儴缃插紩鐢ㄩ鏋讹紝鍏蜂綋鍙傛暟浠ョ幇鍦虹‘璁や负鍑?- source_snippet: 鈥?
**ref_id: REF-005**
- title: 璧勬枡鏉＄洰锛氫富娴佷骇鍝佽兘鍔涘姣斾笌閫夊瀷娉ㄦ剰浜嬮」
- publisher/organization: 鍘傚晢鍏紑璧勬枡/琛屼笟璧勬枡搴?- date: 2024-10-31
- version: V1.0
- archive_path: archives/astronomical-precision-displacement-guide/references/REF-005.md
- search_hint: 浜у搧瀵规瘮 閫夊瀷 鍙傛暟
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