ひとつ前へ WWWルートへ mad@mail.wind.ne.jp
ダイオード温度計・変換式の作成 研究・設計 数理設計研究所 ２ダイオード直列型 T = -3.18989E-5 *V*V - 0.138806*V + 160.021 ４ダイオード直列型 T = -8.07255E-06*V*V - 0.0707291*V + 159.027
ダイオード温度計のもくろみ半導体ダイオードはPN接合で動作することは良く知られている。しかし、このPN接合を電子がどのように流れるかイメージを持つ人は少ない。大気中では酸素や窒素の分子が飛びかって障子の隙間を抜けていく。それと同じように、電子は原子の隙間を縫って動くのだ。電子の運動は実は空気と同じように移動し、それを「拡散」と言う。 半導体を発明したショックレーは、電子の拡散を研究し、温度に支配されることなどを成果報告してノーベル賞を与えられた。この半導体内電子の拡散方程式は実験でもっともらしく求められたものではなく、電子の熱運動を理論で統計的に記述したものからなっている。 実際のダイオードは構造や製法もことなるのでさまざまな種類がある。基本は同じ方程式で記述される。 そこがサーミスタなど、他の温度センサと決定的に異なる良さとなる。 つまり、特に検定しなくても同じ種類（ツマリ同じ会社の、同じ型番）のダイオードならば、ほとんどうりふたつの特性を持つことが期待でき、誰が作ってもほとんど差がないと推測される。 そこで、GID-ADCで温度を測定する基本センサとしてこれの評価と実験をおこなった。 |
目次 |
ダイオード温度計の原理ダイオードに順方向に電流(I)を流すと順電圧(V)が観察できる。多くの小信号用シリコン・ダイオードでは順電圧が0.6V近傍になり少し温度によって変化することが良く知られている。この「少し」がどれほどの値になるのかと言えば ●約 -2.5mV/℃ だと言うことはあまり知らないだろう。シリコン以外のゲルマニウムでは異なるが、ここではシリコン・ダイオードとして話を進める。 温度が1℃上昇すれば順電圧が2.5mV小さくなる。 もちろん順電流を小さくすれば順電圧は0.6Vより少し小さくなるし温度による順電圧も少し小さくなる。 室温で0.6V=600mVなので温度を上げると約 -2.5mV/℃で順電圧が小さくなる、600/2.5→240なので、室温を20℃とすると260℃で順電圧はちょうどゼロになる。シリコンを材料とするダイオードは、どんなにがんばっても260℃で使えなくなるという意味に近い。 |
２ダイオード直列型約 -2.5mV/℃の温度変化があるのなら２つ直列にすれば約 -5mV/℃の変化とな、0.2℃が1mVとして読み取れ。GID-ADCは1mVを読み取れるので0.2℃分解能を期待できるので実験してみた。 ●2ダイオード型校正式の作成、バラツキの評価
１：零度試験 deg0.txt 氷を魔法瓶に半分ぐらい詰め、水を足し一晩放置したものを零度とする。 最大最小を排除した平均 0℃ 944, 940, 945, 947, 947, 947, 950 (AVG) ２：高温から室温 degree.txt
DERIVE による計算（数式処理ソフト） [[0,946],[25.1,820.2],[55,655.6],[89,463]] [[946,0],[820.2,25.1],[655.6,55],[463,89]] FIT([v,a*v^2+b*v+c],[[946,0],[820.2,25.1],[655.6,55],[463,89]]) -32*v^2/1003167-1077*v/7759+15202/95 -3200000/1003167*10^(-5)*v^2-1077/7759*v+15202/95 -3.18989*10^-5*v^2 - 0.138806*v + 160.021 v(mV)として T(℃)=-3.18989*10^-5*v^2 - 0.138806*v + 160.021 C風に書くと T = -3.18989E-5 *V*V - 0.138806*V + 160.021 の変換式が得られた |
検定法の例温度特性を調べるのには
零度の検定
100℃→室温の範囲の検定多くの場合100℃は得られないと思ってよい。厳密には１気圧、水（湯）と蒸気がある状態で定義されている。そこで温度計を信用して検定する。
４ダイオード直列型同じように実験するとT = -8.07255E-06*V*V-0.0707291*V+159.027 となる |
液体窒素温度の測定 たまたま液体窒素を手に入れたので実験してみた。(2001/8/11 Hal.T) 発泡スチロールの箱の中に液体窒素中を入れ、２本の４ダイオード型（1S1558）を浸し、安定するまで数分待つ。２本ともに ３９０１ｍV を示した。室温で作成した検定式によれば−２３９．７５℃になりかなり誤差が大きい。ここまで極低温で使うこともないだろうが、ちゃんと検定式を作成すれば使うことはできる。 ただし、実験が終わってから空気中に放置して室温を測ろうとしてみたら、１本の温度計が断線していた。２００℃の急激な温度差で外側の防水チューブと内側の銅線やダイオードの半導体、ガラス部などの熱膨張率の差かもしれない。
|
deg0.txt 零度試験
00001,97/07/01,19:28:47, 943, 939, 944, 947,
947, 947, 949, 2047
00002,97/07/01,19:28:57, 944, 939, 945, 947,
947, 947, 949, 2047
00003,97/07/01,19:29:07, 944, 939, 944, 947,
947, 947, 950, 2047
00004,97/07/01,19:29:17, 944, 939, 945, 947,
947, 947, 949, 2047
00005,97/07/01,19:29:27, 944, 939, 944, 947,
947, 947, 949, 2047
00006,97/07/01,19:29:37, 944, 939, 944, 947,
947, 947, 949, 2047
00007,97/07/01,19:29:47, 944, 939, 945, 947,
947, 947, 950, 2047
00008,97/07/01,19:29:57, 944, 939, 944, 947,
947, 947, 950, 2047
00009,97/07/01,19:30:07, 944, 939, 945, 947,
947, 947, 950, 2047
00010,97/07/01,19:30:17, 944, 939, 945, 947,
947, 947, 950, 2047
00011,97/07/01,19:30:27, 944, 940, 945, 947,
947, 947, 950, 2047
00012,97/07/01,19:30:37, 944, 940, 945, 947,
947, 947, 950, 2047
00013,97/07/01,19:30:47, 944, 940, 945, 947,
947, 947, 950, 2047
00014,97/07/01,19:30:57, 944, 940, 944, 947,
947, 947, 950, 2047
00015,97/07/01,19:31:07, 944, 940, 945, 947,
947, 947, 950, 2047
00016,97/07/01,19:31:17, 944, 940, 945, 947,
947, 947, 950, 2047
00017,97/07/01,19:31:27, 944, 940, 945, 947,
947, 947, 950, 2047
00018,97/07/01,19:31:37, 944, 940, 944, 947,
947, 947, 950, 2047
00019,97/07/01,19:31:47, 944, 940, 944, 947,
947, 947, 950, 2047
00020,97/07/01,19:31:57, 944, 940, 945, 947,
947, 947, 950, 2047
00021,97/07/01,19:32:07, 944, 940, 945, 947,
947, 947, 950, 2047
00022,97/07/01,19:32:17, 944, 940, 945, 947,
947, 947, 950, 2047
00023,97/07/01,19:32:27, 944, 940, 945, 947,
947, 947, 950, 2047
00024,97/07/01,19:32:37, 944, 940, 945, 947,
947, 947, 950, 2047
00025,97/07/01,19:32:47, 944, 940, 945, 947,
947, 947, 950, 2047
00026,97/07/01,19:32:57, 944, 940, 945, 947,
947, 947, 950, 2047
00027,97/07/01,19:33:07, 944, 941, 945, 947,
948, 947, 950, 2047
00028,97/07/01,19:33:17, 944, 941, 945, 947,
947, 947, 950, 2047
degree.txt 高温から室温への試験
00001,97/07/01,19:36:00, 750, 745, 753, 758,
757, 757, 763, 2047
00002,97/07/01,19:36:10, 755, 749, 757, 762,
761, 761, 767, 2047
00003,97/07/01,19:36:20, 759, 753, 761, 766,
765, 765, 771, 2047
00004,97/07/01,19:36:30, 764, 758, 765, 770,
769, 769, 775, 2047
00005,97/07/01,19:36:40, 768, 762, 769, 774,
773, 773, 779, 2047
00006,97/07/01,19:36:50, 772, 766, 773, 777,
777, 777, 782, 2047
00007,97/07/01,19:37:00, 776, 770, 777, 781,
781, 781, 785, 2047
00008,97/07/01,19:37:10, 779, 773, 779, 782,
781, 781, 785, 2047
00009,97/07/01,19:37:20, 779, 773, 779, 782,
781, 780, 784, 2047
00010,97/07/01,19:37:30, 779, 773, 778, 782,
781, 780, 784, 2047
00011,97/07/01,19:37:40, 779, 773, 778, 781,
780, 780, 784, 2047
00012,97/07/01,19:37:50, 779, 773, 778, 781,
780, 780, 784, 2047
00013,97/07/01,19:38:00, 779, 773, 778, 781,
780, 780, 784, 2047
00014,97/07/01,19:38:10, 779, 773, 778, 781,
780, 780, 784, 2047
00015,97/07/01,19:38:20, 779, 773, 778, 781,
780, 780, 784, 2047
00016,97/07/01,19:38:30, 779, 773, 778, 781,
780, 780, 783, 2047
00017,97/07/01,19:38:40, 779, 773, 778, 781,
780, 780, 783, 2047
00018,97/07/01,19:38:50, 779, 773, 778, 781,
780, 780, 783, 2047
00019,97/07/01,19:39:00, 779, 773, 778, 781,
780, 780, 783, 2047
00020,97/07/01,19:39:10, 779, 773, 778, 781,
780, 780, 783, 2047
00021,97/07/01,19:39:20, 779, 773, 778, 781,
780, 780, 784, 2047
00022,97/07/01,19:39:30, 779, 773, 778, 781,
780, 780, 783, 2047
00023,97/07/01,19:39:40, 779, 773, 778, 781,
780, 780, 783, 2047
00024,97/07/01,19:39:50, 779, 773, 778, 781,
780, 780, 783, 2047
00025,97/07/01,19:40:00, 779, 773, 778, 781,
780, 780, 783, 2047
00026,97/07/01,19:40:10, 779, 773, 778, 781,
780, 780, 783, 2047
00027,97/07/01,19:40:20, 779, 773, 778, 781,
780, 780, 783, 2047
00028,97/07/01,19:40:30, 779, 773, 778, 781,
780, 780, 783, 2047
00029,97/07/01,19:40:40, 779, 773, 778, 781,
780, 780, 783, 2047
00030,97/07/01,19:40:50, 779, 773, 778, 781,
780, 780, 783, 2047
00031,97/07/01,19:41:00, 779, 773, 778, 780,
780, 780, 783, 2047
00032,97/07/01,19:41:10, 779, 773, 778, 781,
780, 780, 783, 2047
00033,97/07/01,19:41:20, 779, 773, 778, 781,
780, 780, 783, 2047
00034,97/07/01,19:41:30, 779, 773, 778, 781,
780, 780, 783, 2047
00035,97/07/01,19:41:40, 779, 773, 778, 781,
780, 780, 783, 2047
00036,97/07/01,19:41:50, 779, 773, 778, 781,
780, 780, 783, 2047
00037,97/07/01,19:42:00, 779, 773, 778, 781,
780, 780, 783, 2047
00038,97/07/01,19:42:10, 779, 773, 778, 781,
780, 780, 783, 2047
00039,97/07/01,19:42:20, 779, 773, 778, 781,
780, 780, 783, 2047
00040,97/07/01,19:42:30, 779, 774, 778, 781,
780, 780, 783, 2047
00041,97/07/01,19:42:40, 750, 748, 753, 759,
757, 754, 756, 2047
00042,97/07/01,19:42:50, 631, 635, 631, 640,
643, 632, 633, 2047
00043,97/07/01,19:43:00, 563, 564, 560, 570,
570, 562, 568, 2047
00044,97/07/01,19:43:10, 526, 527, 519, 530,
530, 521, 533, 2047
00045,97/07/01,19:43:20, 502, 501, 494, 505,
506, 496, 511, 2047
00046,97/07/01,19:43:30, 486, 484, 478, 488,
490, 480, 496, 2047
00047,97/07/01,19:43:40, 475, 475, 468, 477,
479, 469, 486, 2047
00048,97/07/01,19:43:50, 467, 469, 460, 469,
470, 460, 478, 2047
00049,97/07/01,19:44:00, 460, 457, 455, 463,
464, 455, 471, 2047
00050,97/07/01,19:44:10, 454, 453, 449, 457,
457, 449, 465, 2047
00051,97/07/01,19:44:20, 449, 449, 446, 452,
452, 446, 460, 2047
00052,97/07/01,19:44:30, 446, 446, 444, 450,
449, 443, 456, 2047
00053,97/07/01,19:44:40, 444, 444, 442, 447,
447, 441, 453, 2047
00054,97/07/01,19:44:50, 442, 442, 440, 446,
445, 440, 451, 2047
00055,97/07/01,19:45:00, 441, 441, 439, 445,
444, 440, 449, 2047
00056,97/07/01,19:45:10, 440, 440, 439, 444,
444, 439, 448, 2047
00057,97/07/01,19:45:20, 439, 439, 439, 443,
443, 439, 447, 2047
00058,97/07/01,19:45:30, 439, 439, 438, 443,
443, 439, 446, 2047
00059,97/07/01,19:45:40, 439, 436, 439, 442,
443, 440, 445, 2047
00060,97/07/01,19:45:50, 439, 438, 439, 442,
442, 440, 445, 2047
00061,97/07/01,19:46:00, 439, 438, 438, 442,
442, 440, 444, 2047
00062,97/07/01,19:46:10, 438, 438, 438, 441,
442, 440, 444, 2047
00063,97/07/01,19:46:20, 438, 438, 438, 441,
442, 440, 444, 2047
00064,97/07/01,19:46:30, 439, 438, 438, 441,
442, 440, 444, 2047
00065,97/07/01,19:46:40, 439, 438, 439, 442,
442, 441, 444, 2047
00066,97/07/01,19:46:50, 438, 438, 438, 441,
442, 440, 444, 2047
00067,97/07/01,19:47:00, 439, 438, 439, 442,
442, 441, 444, 2047
00068,97/07/01,19:47:10, 439, 439, 439, 442,
443, 441, 444, 2047
00069,97/07/01,19:47:20, 440, 439, 440, 442,
443, 442, 444, 2047
00070,97/07/01,19:47:30, 439, 439, 439, 442,
443, 441, 444, 2047
00071,97/07/01,19:47:40, 440, 439, 440, 442,
443, 442, 444, 2047
00072,97/07/01,19:47:50, 441, 439, 440, 443,
444, 443, 445, 2047
00073,97/07/01,19:48:00, 440, 440, 440, 443,
444, 442, 445, 2047
00074,97/07/01,19:48:10, 441, 440, 440, 443,
444, 442, 445, 2047
00075,97/07/01,19:48:20, 441, 440, 441, 443,
445, 443, 446, 2047
00076,97/07/01,19:48:30, 441, 440, 441, 443,
445, 443, 446, 2047
00077,97/07/01,19:48:40, 441, 441, 441, 443,
445, 443, 446, 2047
00078,97/07/01,19:48:50, 441, 441, 441, 444,
445, 444, 446, 2047
00079,97/07/01,19:49:00, 442, 441, 441, 444,
446, 444, 447, 2047
00080,97/07/01,19:49:10, 442, 441, 441, 444,
446, 444, 447, 2047
00081,97/07/01,19:49:20, 442, 441, 442, 445,
446, 444, 447, 2047
00082,97/07/01,19:49:30, 443, 442, 443, 445,
446, 445, 448, 2047
00083,97/07/01,19:49:40, 442, 442, 443, 445,
446, 445, 448, 2047
00084,97/07/01,19:49:50, 443, 442, 443, 446,
446, 445, 448, 2047
00085,97/07/01,19:50:00, 443, 443, 443, 446,
447, 446, 448, 2047
00086,97/07/01,19:50:10, 443, 443, 443, 446,
447, 445, 448, 2047
00087,97/07/01,19:50:20, 444, 443, 444, 446,
447, 446, 448, 2047
00088,97/07/01,19:50:30, 445, 444, 444, 447,
448, 446, 449, 2047
00089,97/07/01,19:50:40, 445, 444, 444, 447,
448, 447, 449, 2047
00090,97/07/01,19:50:50, 445, 444, 445, 447,
448, 447, 449, 2047
00091,97/07/01,19:51:00, 445, 444, 445, 447,
449, 447, 449, 2047
00092,97/07/01,19:51:10, 445, 444, 445, 447,
449, 447, 450, 2047
00093,97/07/01,19:51:20, 445, 445, 445, 448,
449, 448, 450, 2047
00094,97/07/01,19:51:30, 446, 445, 446, 449,
449, 448, 451, 2047
00095,97/07/01,19:51:40, 447, 445, 446, 449,
450, 449, 451, 2047
00096,97/07/01,19:51:50, 446, 446, 446, 449,
450, 448, 451, 2047
00097,97/07/01,19:52:00, 447, 446, 446, 449,
451, 448, 451, 2047
00098,97/07/01,19:52:10, 448, 446, 447, 450,
451, 449, 452, 2047
00099,97/07/01,19:52:20, 448, 447, 447, 450,
451, 450, 452, 2047
00100,97/07/01,19:52:30, 448, 447, 447, 450,
452, 450, 452, 2047
00101,97/07/01,19:52:40, 448, 447, 447, 450,
452, 450, 453, 2047
00102,97/07/01,19:52:50, 449, 448, 448, 450,
452, 450, 453, 2047
00103,97/07/01,19:53:00, 449, 448, 448, 451,
453, 451, 454, 2047
00104,97/07/01,19:53:10, 450, 448, 449, 452,
453, 451, 454, 2047
00105,97/07/01,19:53:20, 450, 449, 449, 452,
453, 452, 454, 2047
00106,97/07/01,19:53:30, 450, 449, 449, 452,
453, 451, 455, 2047
00107,97/07/01,19:53:40, 450, 449, 449, 452,
453, 451, 455, 2047
00108,97/07/01,19:53:50, 450, 449, 450, 453,
454, 452, 455, 2047
00109,97/07/01,19:54:00, 451, 450, 450, 453,
454, 453, 456, 2047
00110,97/07/01,19:54:10, 450, 450, 450, 453,
454, 452, 455, 2047
00111,97/07/01,19:54:20, 451, 450, 451, 453,
454, 453, 456, 2047
00112,97/07/01,19:54:30, 451, 450, 450, 453,
454, 452, 456, 2047
00113,97/07/01,19:54:40, 452, 451, 451, 454,
455, 453, 456, 2047
00114,97/07/01,19:54:50, 452, 451, 451, 454,
455, 454, 457, 2047
00115,97/07/01,19:55:00, 452, 451, 451, 454,
455, 454, 457, 2047
00116,97/07/01,19:55:10, 452, 451, 452, 454,
456, 454, 457, 2047
00117,97/07/01,19:55:20, 453, 452, 452, 455,
456, 454, 457, 2047
00118,97/07/01,19:55:30, 453, 452, 452, 455,
456, 454, 458, 2047
00119,97/07/01,19:55:40, 453, 453, 452, 455,
457, 455, 458, 2047
00120,97/07/01,19:55:50, 454, 453, 453, 456,
457, 455, 458, 2047
00121,97/07/01,19:56:00, 455, 453, 454, 456,
457, 456, 459, 2047
00122,97/07/01,19:56:10, 455, 453, 454, 457,
458, 456, 459, 2047
00123,97/07/01,19:56:20, 455, 454, 454, 457,
458, 456, 459, 2047
00124,97/07/01,19:56:30, 455, 454, 454, 457,
458, 457, 460, 2047
00125,97/07/01,19:56:40, 456, 454, 455, 458,
459, 457, 460, 2047
00126,97/07/01,19:56:50, 456, 454, 455, 457,
459, 457, 460, 2047
00127,97/07/01,19:57:00, 456, 455, 455, 458,
459, 458, 460, 2047
00128,97/07/01,19:57:10, 456, 455, 456, 458,
460, 458, 461, 2047
00129,97/07/01,19:57:20, 457, 455, 456, 459,
460, 458, 461, 2047
00130,97/07/01,19:57:30, 457, 455, 456, 459,
460, 459, 461, 2047
00131,97/07/01,19:57:40, 457, 456, 456, 459,
460, 459, 462, 2047
00132,97/07/01,19:57:50, 457, 456, 457, 460,
460, 459, 462, 2047
00133,97/07/01,19:58:00, 458, 456, 457, 460,
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..end
..end