JAJSE59 データシート

JAJSE59A October 2017 – June 2022 LMT87-Q1

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8.3.1 LMT87-Q1 Transfer Function

Table 8-1 shows the output voltage of the LMT87-Q1 across the complete operating temperature range. This table is the reference from which the LMT87-Q1 accuracy specifications (listed in the Accuracy Characteristics table) are determined. This table can be used, for example, in a host processor look-up table. A file containing this data is available for download at the LMT87-Q1 product folder under Tools and Software Models.

Table 8-1 LMT87-Q1 Transfer Table

TEMP (°C)	V_OUT (mV)	TEMP (°C)	V_OUT (mV)	TEMP (°C)	V_OUT (mV)	TEMP (°C)	V_OUT (mV)	TEMP (°C)	V_OUT (mV)
–50	3277	–10	2767	30	2231	70	1679	110	1115
–49	3266	–9	2754	31	2217	71	1665	111	1101
–48	3254	–8	2740	32	2204	72	1651	112	1087
–47	3243	–7	2727	33	2190	73	1637	113	1073
–46	3232	–6	2714	34	2176	74	1623	114	1058
–45	3221	–5	2700	35	2163	75	1609	115	1044
–44	3210	–4	2687	36	2149	76	1595	116	1030
–43	3199	–3	2674	37	2136	77	1581	117	1015
–42	3186	–2	2660	38	2122	78	1567	118	1001
–41	3173	–1	2647	39	2108	79	1553	119	987
–40	3160	0	2633	40	2095	80	1539	120	973
–39	3147	1	2620	41	2081	81	1525	121	958
–38	3134	2	2607	42	2067	82	1511	122	944
–37	3121	3	2593	43	2054	83	1497	123	929
–36	3108	4	2580	44	2040	84	1483	124	915
–35	3095	5	2567	45	2026	85	1469	125	901
–34	3082	6	2553	46	2012	86	1455	126	886
–33	3069	7	2540	47	1999	87	1441	127	872
–32	3056	8	2527	48	1985	88	1427	128	858
–31	3043	9	2513	49	1971	89	1413	129	843
–30	3030	10	2500	50	1958	90	1399	130	829
–29	3017	11	2486	51	1944	91	1385	131	814
–28	3004	12	2473	52	1930	92	1371	132	800
–27	2991	13	2459	53	1916	93	1356	133	786
–26	2978	14	2446	54	1902	94	1342	134	771
–25	2965	15	2433	55	1888	95	1328	135	757
–24	2952	16	2419	56	1875	96	1314	136	742
–23	2938	17	2406	57	1861	97	1300	137	728
–22	2925	18	2392	58	1847	98	1286	138	713
–21	2912	19	2379	59	1833	99	1272	139	699
–20	2899	20	2365	60	1819	100	1257	140	684
–19	2886	21	2352	61	1805	101	1243	141	670
–18	2873	22	2338	62	1791	102	1229	142	655
–17	2859	23	2325	63	1777	103	1215	143	640
–16	2846	24	2311	64	1763	104	1201	144	626
–15	2833	25	2298	65	1749	105	1186	145	611
–14	2820	26	2285	66	1735	106	1172	146	597
–13	2807	27	2271	67	1721	107	1158	147	582
–12	2793	28	2258	68	1707	108	1144	148	568
–11	2780	29	2244	69	1693	109	1130	149	553
								150	538

Although the LMT87-Q1 is very linear, the response does have a slight umbrella parabolic shape. Table 8-1 very accurately reflects this shape. The transfer table can be calculated by using the parabolic equation (Equation 1).

Equation 1.

The parabolic equation is an approximation of the transfer table and the accuracy of the equation degrades slightly at the temperature range extremes. Equation 1 can be solved for T resulting in:

Equation 2.

For an even less accurate linear transfer function approximation, a line can easily be calculated over the desired temperature range from Table 8-1 using the two-point equation (Equation 3):

Equation 3.

where

V is in mV,
T is in °C,
T₁ and V₁ are the coordinates of the lowest temperature,
and T₂ and V₂ are the coordinates of the highest temperature.

For example, if the user wanted to resolve this equation, over a temperature range of 20°C to 50°C, they would proceed as follows:

Equation 4.

Equation 5.

Equation 6.

Using this method of linear approximation, the transfer function can be approximated for one or more temperature ranges of interest.