Patent Publication Number: US-2021164848-A1

Title: Temperature sensor device

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation of International Application No. PCT/JP2019/038255, filed Sep. 27, 2019, which claims priority to Japanese Patent Application No. 2018-193062, filed Oct. 12, 2018, the entire contents of each of which are hereby incorporated in their entirety. 
    
    
     TECHNICAL FIELD 
     Aspects of the present disclosure are directed to a temperature sensor device and a method for manufacturing the temperature sensor device. 
     BACKGROUND OF THE INVENTION 
     In recent years, some examples of configurations of temperature sensor devices have been disclosed. For example, Japanese Unexamined Patent Application Publication No. 5-52666 (“JP &#39;666”). The temperature sensor device described in JP &#39;666 is formed by an array of resistance thermometers connected in a planar grid form. In the temperature sensor device, the resistance thermometers arranged in a planar grid form are connected to intersecting lead wires extending in longitudinal and transverse directions to form sensors. 
     SUMMARY OF THE INVENTION 
     When a temperature distribution concentrically spreading from a heat source is to be measured using a temperature sensor device where common lines connected to a plurality of temperature sensors intersect and extend in longitudinal and transverse directions, since the common lines cannot be placed in the center of the temperature sensor device where the heat source is placed, the common lines need to be arranged in such a manner as to avoid the center of the temperature sensor device. Since the temperature sensors cannot be placed near the heat source in this case, the temperature near the heat source cannot be measured. This affects accuracy in measuring the temperature distribution. 
     The present invention has been made in view of the problem described above. An object of the present invention is to provide a temperature sensor device that is capable of measuring a concentric temperature distribution with high accuracy. 
     Accordingly, it is an object of the present disclosure to provide a temperature sensor device which may include a substrate, a plurality of temperature sensors, a plurality of first common lines, and a plurality of second common lines. The plurality of temperature sensors are disposed on the substrate and spaced from each other on a plurality of concentric virtual rings. The plurality of first common lines may be connected to the plurality of temperature sensors from an outer side of the plurality of virtual rings. The plurality of second common lines may be connected to the plurality of temperature sensors from an inner side of the plurality of virtual rings. The plurality of temperature sensors are each connected to one of the plurality of first common lines and one of the plurality of second common lines. The plurality of first common lines each include a first annular line portion located along the plurality of virtual rings, and a first connection line portion connecting the first annular line portion to at least one of the plurality of temperature sensors. The first annular line portion of each of the plurality of first common lines is located on the outer side of the plurality of virtual rings. 
     According to an object of the present disclosure, a temperature sensor device may enable accurate measurement of a concentric temperature distribution. 
     Additional advantages and novel features of the system of the present disclosure will be set forth in part in the description that follows, and in part will become more apparent to those skilled in the art upon examination of the following or upon learning by practice of the disclosure. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       In the descriptions that follow, like parts are marked throughout the specification and drawings with the same numerals, respectively. The drawings are not necessarily drawn to scale and certain drawings may be shown in exaggerated or generalized form in the interest of clarity and conciseness. The disclosure itself, however, as well as a mode of use, further features and advances thereof, will be understood by reference to the following detailed description of illustrative implementations of the disclosure when read in conjunction with reference to the accompanying drawings, wherein: 
         FIG. 1  is a plan view of a temperature sensor device in accordance with aspects of the present disclosure; 
         FIG. 2  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 1 . 
         FIG. 3  is an enlarged plan view of region III surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 ; 
         FIG. 4  is an enlarged plan view of region IV surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 ; 
         FIG. 5  is an enlarged plan view of region V surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 ; 
         FIG. 6  is an enlarged plan view of region VI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 ; 
         FIG. 7  is a circuit diagram illustrating how a plurality of temperature sensors are each electrically connected to one of a plurality of first common lines and one of a plurality of second common lines in the temperature sensor device in accordance with aspects of the present disclosure; 
         FIG. 8  is a plan view of a temperature sensor device in accordance with aspects of the present disclosure; 
         FIG. 9  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 10  is an enlarged plan view of region X surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 11  is an enlarged plan view of region XI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 10  is an enlarged plan view of region X surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 11  is an enlarged plan view of region XI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 12  is an enlarged plan view of region XII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 13  is an enlarged plan view of region XIII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 ; 
         FIG. 14  is a plan view of a temperature sensor device in accordance with aspects of the present disclosure; 
         FIG. 15  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 14 ; 
         FIG. 16  is an enlarged plan view of region XVI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 ; 
         FIG. 17  is an enlarged plan view of region XVII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 ; 
         FIG. 18  is an enlarged plan view of region XVIII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 ; and 
         FIG. 19  is an enlarged plan view of region XIX surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 . 
     
    
    
     DETAILED DESCRIPTION 
     A temperature sensor device according to aspects of the present disclosure will be described with reference to the drawings. In the following description of aspects of the present disclosure, the same or corresponding parts throughout the drawings are denoted by the same reference numerals and their description will not be repeated. 
     However, the present disclosure is not limited to the following configurations, and can be appropriately modified and applied without changing the gist of the present disclosure. Note that a combination of two or more of individual desirable configurations of the present disclosure described below is also the present invention. 
     Aspects of the disclosure described below are mere examples, and the configurations can be partially replaced or combined in the different aspects of the disclosure. The description of items common to different aspects will be omitted, and different points will be described. In particular, the same effects by the same configuration will not be sequentially referred to for each aspect. 
       FIG. 1  is a plan view of a temperature sensor device in accordance with aspects of the present disclosure.  FIG. 2  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 1 .  FIG. 3  is an enlarged plan view of region III surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 .  FIG. 4  is an enlarged plan view of region IV surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 .  FIG. 5  is an enlarged plan view of region V surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 .  FIG. 6  is an enlarged plan view of region VI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 1 . Wiring lines and insulating layers are not shown in  FIG. 2 . 
     As illustrated in  FIG. 1  to  FIG. 6 , a temperature sensor device in accordance with aspects of the present disclosure includes a substrate  110 , a plurality of temperature sensors  120 , a plurality of first common lines  130 , and a plurality of second common lines  140 . 
     First, the substrate  110  will be described. As illustrated in  FIG. 2 , in accordance with aspects of the present disclosure, the plurality of temperature sensors  120  are arranged on the substrate  110  and on a plurality of concentric virtual rings  121 . 
     As illustrated in  FIG. 2 , the plurality of virtual rings  121  are spaced apart, extend alongside each other, and have a substantially circular ring shape. In other words, the plurality of virtual rings  121  have a C-shape. The plurality of virtual rings  121  may have a substantially elliptical ring shape or a substantially rectangular ring shape. Although the plurality of virtual rings  121  are equally spaced apart in one aspect of the disclosure, the distance between adjacent ones of the virtual rings  121  may vary. 
     In accordance with aspects of the present disclosure, the plurality of virtual rings  121  may include three virtual rings, an innermost virtual ring  121   a,  an intermediate virtual ring  121   b  located outside the innermost virtual ring  121   a  in the radial direction, and an outermost virtual ring  121   c  located outside the intermediate virtual ring  121   b  in the radial direction. The plurality of virtual rings  121  may include only two virtual rings, and the intermediate virtual ring  121   b  may be omitted. The plurality of virtual rings  121  may include four or more virtual rings, including two or more intermediate virtual rings  121   b.    
     As illustrated in  FIG. 1  and  FIG. 2 , the substrate  110  has an opening  111  in the center of the plurality of virtual rings  121 . The edge of the opening  111  is located along the plurality of virtual rings  121 . Specifically, the edge of the opening  111  is located along and on an inner side of the innermost virtual ring  121   a.  The edge of the opening  111  has a substantially circular shape. The substrate  110  does not necessarily need to have the opening  111 . Instead of the opening  111 , the substrate  110  may have a recess that can accommodate a heat source in the center of the plurality of virtual rings  121 . 
     In accordance with aspects of the present disclosure, a notch  112  may be provided which extends from the outer edge of the substrate  110  and communicates with the opening  111 . As illustrated in  FIG. 1 , in the substrate  110 , the notch  112  is in a non-wiring region where none of a plurality of first common lines  130  and none of a plurality of second common lines  140  are present. For example, the substrate  110  includes a non-wiring region extending from the outer edge of the substrate  110  to the opening  111  and having none of the plurality of first common lines  130  and none of the plurality of second common lines  140  located therein. 
     The width and the shape of the notch  112  are not particularly limited, as long as they allow insertion of a heat-source holder from the outer edge of the substrate  110  through the notch  112  into the opening  111 . For improved accuracy in measurement by the temperature sensor device  100 , the notch  112  preferably has a width that is smaller than an average distance between adjacent ones of the plurality of temperature sensors  120  on the plurality of virtual rings  121 . 
     The outer shape of the substrate  110  is not particularly limited. As illustrated in  FIG. 1  and  FIG. 2 , the substrate  110  has a substantially circular outer shape that is along the plurality of virtual rings  121 . The substrate  110  has an extended portion  113  that extends outward from the outer edge of the substantially circular shape. The extended portion  113  is located opposite the notch  112 , with respect to the opening  111  in the center of the substrate  110 . 
     A material used to make the substrate  110  is not particularly limited, as long as it is an insulating material. In accordance with aspects of the present disclosure, the substrate  110  is made of a material including at least one resin selected from a group of polyethylene terephthalate (PET), polyethylene naphthalate (PEN), polyimide (PI), and thermoplastic polyurethane (TPU). 
     The thickness of the substrate  110  is not particularly limited, but is preferably a thickness that allows the substrate  110  to be flexible. In accordance with aspects of the present disclosure, the substrate  110  is flexible. 
     As illustrated in  FIG. 2 , the plurality of temperature sensors  120  are disposed on the substrate  110  and spaced from each other on the plurality of concentric virtual rings  121 . The adjacent ones of the plurality of temperature sensors  120  on the same virtual ring  121  may be substantially equally spaced apart. The temperature sensor device  100  may include additional temperature sensors  120  that are not located on the plurality of virtual rings  121 . 
     In accordance with aspects of the present disclosure, eight temperature sensors  120  may be arranged on the innermost virtual ring  121   a.  The number of temperature sensors  120  arranged on the innermost virtual ring  121   a  is not limited to this. For example, the number of temperature sensors  120  arranged on the innermost virtual ring  121   a  is greater than or equal to 2 and less than or equal to 32. 
     In accordance with aspects of the present disclosure, 16 temperature sensors  120  may be arranged on the intermediate virtual ring  121   b.  The number of temperature sensors  120  arranged on the intermediate virtual ring  121   b  is not limited to this. For example, the number of temperature sensors  120  arranged on the intermediate virtual ring  121   b  is greater than or equal to 4 and less than or equal to 64. 
     In accordance with aspects of the present disclosure, 24 temperature sensors  120  are arranged on the outermost virtual ring  121   c.  The number of temperature sensors  120  arranged on the outermost virtual ring  121   c  is not limited to this. For example, the number of temperature sensors  120  arranged on the outermost virtual ring  121   c  is greater than or equal to 6 and less than or equal to 96. 
     The number of temperature sensors  120  located on an outer one of the plurality of virtual rings  121  is greater than the number of temperature sensors  120  located on an inner one of the plurality of virtual rings  121 . In one aspect of the disclosure, the number of temperature sensors  120  located on the outermost virtual ring  121   c  is greater than the number of temperature sensors  120  located on the intermediate virtual ring  121   b . The number of temperature sensors  120  located on the intermediate virtual ring  121   b  is greater than the number of temperature sensors  120  located on the innermost virtual ring  121   a.    
     The plurality of temperature sensors  120  are not limited to a specific type. In one aspect of the disclosure, the plurality of temperature sensors  120  are thermistors. The thermistors are made of an oxide containing such an element as manganese (Mn), nickel (Ni), or cobalt (Co). 
     As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the plurality of first common lines  130  are connected to the plurality of temperature sensors  120  from the outer side of the plurality of virtual rings  121 . The plurality of first common lines  130  are each connected to corresponding ones of the plurality of temperature sensors  120 . 
     The number of the plurality of first common lines  130  is not particularly limited and may be changed as appropriate, in accordance with the number of the plurality of temperature sensors  120  and the number of the plurality of virtual rings  121 . As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the temperature sensor device  100  according to one aspect of the disclosure, includes four first common lines  130 . In another aspect of the disclosure, the four first common lines  130  include a first common line  130 A, a first common line  130 B, a first common line  130 C, and a first common line  130 D. 
     As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the plurality of first common lines  130  each include a first annular line portion  131 , first connection line portions  132 , and a first extended line portion  133 . The first annular line portions  131  are located along the plurality of virtual rings  121 . The first annular line portion  131  of each of the plurality of first common lines  130  is located on the outer side of the plurality of virtual rings  121 . 
     In one aspect of the disclosure, a first annular line portion  131 A of the first common line  130 A is located along the outermost virtual ring  121   c,  which is the outermost one of the plurality of virtual rings  121  in the radial direction, on the outer side of the outermost virtual ring  121   c  in the radial direction. A first annular line portion  131 B of the first common line  130 B is located along the first annular line portion  131 A, on the outer side of the first annular line portion  131 A in the radial direction. A first annular line portion  131 C of the first common line  130 C is located along the first annular line portion  131 B, on the outer side of the first annular line portion  131 B in the radial direction. A first annular line portion  131 D of the first common line  130 D is located along the first annular line portion  131 C, on the outer side of the first annular line portion  131 C in the radial direction. 
     The first connection line portions  132  each connect the first annular line portion  131  to at least one of the plurality of temperature sensors  120 . For example, the first connection line portions  132  connect the first annular line portions  131  to corresponding ones of the plurality of temperature sensors  120 . In one aspect of the disclosure, some of the plurality of first connection line portions  132  may have a branch line. This allows connection of one first annular line portion  131  to corresponding ones of the plurality of temperature sensors  120 . Without having a branch line, all the first connection line portions  132  may be configured to connect one first annular line portion  131  to a corresponding one of the temperature sensors  120 . 
     The first connection line portions  132  connect the first annular line portions  131  to corresponding ones of the plurality of temperature sensors  120  from the outer side of the plurality of virtual rings  121 . The arrangement of the first connection line portions  132  is not particularly limited, as long as the first connection line portions  132  are arranged to connect to the temperature sensors  120  from the outer side of the plurality of virtual rings  121 . 
     The plurality of first extended line portions  133  are each connected, from the outer side of the plurality of first annular line portions  131 , to a corresponding one of the first annular line portions  131  and extended onto the extended portion  113  of the substrate  110 . The plurality of first extended line portions  133  are each connected to an intermediate point of the corresponding one of the first annular line portions  131 . 
     In one aspect of the disclosure, a first extended line portion  133 A is connected to the first annular line portion  131 A, a first extended line portion  133 B is connected to the first annular line portion  131 B, a first extended line portion  133 C is connected to the first annular line portion  131 C, and a first extended line portion  133 D is connected to the first annular line portion  131 D. 
     The plurality of first extended line portions  133  are each connected at one end thereof to the first annular line portion  131  and connected at the other end thereof to a power supply circuit and a current measuring circuit, which are not shown. 
     The first common lines  130  may be made of a conductive material, such as a material containing Ag. The first common lines  130  are formed by solidifying a conductive paste containing Ag. 
     As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the plurality of second common lines  140  are connected to the plurality of temperature sensors  120  from the inner side of the plurality of virtual rings  121 . The plurality of second common lines  140  are each connected to corresponding ones of the plurality of temperature sensors  120 . 
     The number of the plurality of second common lines  140  is not particularly limited and may be changed as appropriate, in accordance with the number of the plurality of temperature sensors  120  and the number of the plurality of virtual rings  121 . As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the temperature sensor device  100  according to aspect of the disclosure includes 12 second common lines  140 . In one aspect of the disclosure, the 12 second common lines  140  include a second common line  140   a,  a second common line  140   b,  a second common line  140   c,  a second common line  140   d,  a second common line  140   e,  a second common line  140   f,  a second common line  140   g,  a second common line  140   h,  a second common line  140   i,  a second common line  140   j,  a second common line  140   k,  and a second common line  140   l.    
     The plurality of second common lines  140  each include a second annular line portion  141 , second connection line portions  142 , and a second extended line portion  143 . The second annular line portions  141  are located along the plurality of virtual rings  121 . In one aspect of the disclosure, the second annular line portion  141  of each of the plurality of second common lines  140  is located along and on an inner side of one of plurality of virtual rings  121  where temperature sensors  120  to which the second annular line portion  141  is connected are located. For example, the second annular line portion  141  of each of the plurality of second common lines  140  is located along and on the inner side of one of the plurality of virtual rings  121  where corresponding ones of the plurality of temperature sensors  120  are located. 
     In one aspect of the disclosure, a second annular line portion  141   f  of the second common line  140   f  and a second annular line portion  141   g  of the second common line  140   g  are each located along and on the inner side of the innermost virtual ring  121   a  on which corresponding ones of the plurality of temperature sensors  120  are located. A second annular line portion  141   d  of the second common line  140   d,  a second annular line portion  141   e  of the second common line  140   e,  a second annular line portion  141   h  of the second common line  140   h,  and a second annular line portion  141   i  of the second common line  140   i  are each located along and on an inner side of the intermediate virtual ring  121   b  on which corresponding ones of the plurality of temperature sensors  120  are located. A second annular line portion  141   a  of the second common line  140   a,  a second annular line portion  141   b  of the second common line  140   b,  a second annular line portion  141   c  of the second common line  140   c,  a second annular line portion  141   j  of the second common line  140   j,  a second annular line portion  141   k  of the second common line  140   k,  and a second annular line portion  141   l  of the second common line  140   l  are each located along and on the inner side of the outermost virtual ring  121   c  on which corresponding ones of the plurality of temperature sensors  120  are located. 
     The second connection line portions  142  each connect the second annular line portion  141  to at least one of the plurality of temperature sensors  120 . For example, the second connection line portions  142  connect the second annular line portions  141  to corresponding ones of the plurality of temperature sensors  120 . In one aspect of the disclosure, the second connection line portions  142  each have no branch line, and connect one second annular line portion  141  to one temperature sensor  120 . The plurality of second connection line portions  142  each intersect none of the other lines. 
     The plurality of second extended line portions  143  are each connected, from the outer side of the plurality of second annular line portions  141 , to a corresponding one of the second annular line portions  141  and extended onto the extended portion  113  of the substrate  110 . The plurality of second extended line portions  143  are each connected to an end of the corresponding one of the second annular line portions  141 . 
     In one aspect of the disclosure, a second extended line portion  143   a  is connected to the second annular line portion  141   a,  a second extended line portion  143   b  is connected to the second annular line portion  141   b,  a second extended line portion  143   c  is connected to the second annular line portion  141   c,  a second extended line portion  143   d  is connected to the second annular line portion  141   d,  a second extended line portion  143   e  is connected to the second annular line portion  141   e,  and a second extended line portion  143   f  is connected to the second annular line portion  141   f  In one aspect of the disclosure, the second annular line portions  141   a  to  141   f  each extend along the plurality of virtual rings  121  in one circumferential direction from the point of connection with the second extended line portion  143 . 
     A second extended line portion  143   g  is connected to the second annular line portion  141   g,  a second extended line portion  143   h  is connected to the second annular line portion  141   h,  a second extended line portion  143   i  is connected to the second annular line portion  141   i,  a second extended line portion  143   j  is connected to the second annular line portion  141   j,  a second extended line portion  143   k  is connected to the second annular line portion  141   k,  and a second extended line portion  143   l  is connected to the second annular line portion  141   l.  In one aspect of the disclosure, the second annular line portions  141   g  to  141   l  each extend along a corresponding one of the virtual rings  121  in the other circumferential direction from the point of connection with the second extended line portion  143 . For example, the second annular line portions  141   g  to  141   l  each extend from the point of connection with the second extended line portion  143  in a direction circumferentially opposite the second annular line portions  141   a  to  141   f    
     The plurality of second extended line portions  143  are each connected at one end thereof to the second annular line portion  141  and connected at the other end thereof to the power supply circuit and the current measuring circuit, which are not shown. 
     The second common lines  140  may be made of a conductive material, such as a material containing Ag. The second common lines  140  are formed by solidifying a conductive paste containing Ag. 
     The plurality of temperature sensors  120  are each connected to one of the plurality of first common lines  130  and one of the plurality of second common lines  140  in such a manner as to form a unique combination. For example, the plurality of temperature sensors  120  are each connected to a corresponding one of the plurality of first common lines  130  and a corresponding one of the plurality of second common lines  140 . The following describes how, in one aspect of the disclosure, the plurality of temperature sensors  120  are connected to the plurality of first common lines  130  and the plurality of second common lines  140 . 
     As illustrated in  FIG. 3 , a temperature sensor Aa is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   a.  A temperature sensor Ad is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   d.  A temperature sensor Af is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   f.    
     As illustrated in  FIG. 3 , a temperature sensor Ba is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   a.  A temperature sensor Bd is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   d.  A temperature sensor Bf is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   f.    
     As illustrated in  FIG. 3 , a temperature sensor Ca is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   a.  A temperature sensor Cd is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   d.    
     As illustrated in  FIG. 3 , a temperature sensor Da is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   a.  A temperature sensor Dd is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   d.    
     As illustrated in  FIG. 3 , a temperature sensor Ab is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   b.  A temperature sensor Bb is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   b.    
     As illustrated in  FIG. 4 , a temperature sensor Cb is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   b.  A temperature sensor Db is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   b.    
     As illustrated in  FIG. 4 , a temperature sensor Ac is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   c.  A temperature sensor Ae is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   e.    
     As illustrated in  FIG. 4 , a temperature sensor Bc is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   c.  A temperature sensor Be is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   e.    
     As illustrated in  FIG. 4 , a temperature sensor Cc is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   c.  A temperature sensor Ce is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   e.  A temperature sensor Cf is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   f.    
     As illustrated in  FIG. 4 , a temperature sensor Dc is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   c.  A temperature sensor De is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   e.  A temperature sensor Df is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   f.    
     As illustrated in  FIG. 5 , a temperature sensor Al is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   l.  A temperature sensor Ai is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   i.  A temperature sensor Ag is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   g.    
     As illustrated in  FIG. 5 , a temperature sensor Bl is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   l.  A temperature sensor Bi is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   i.  A temperature sensor Bg is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   g.    
     As illustrated in  FIG. 5 , a temperature sensor Cl is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   l.  A temperature sensor Ci is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   i.    
     As illustrated in  FIG. 5 , a temperature sensor Dl is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   l.  A temperature sensor Di is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   i.    
     As illustrated in  FIG. 5 , a temperature sensor Ak is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   k.  A temperature sensor Bk is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   k.    
     As illustrated in  FIG. 6 , a temperature sensor Ck is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   k.  A temperature sensor Dk is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   k.    
     As illustrated in  FIG. 6 , a temperature sensor Aj is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   j.  A temperature sensor Ah is connected through the corresponding first connection line portion  132  to the first annular line portion  131 A, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   h.    
     As illustrated in  FIG. 6 , a temperature sensor Bj is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   j.  A temperature sensor Bh is connected through the corresponding first connection line portion  132  to the first annular line portion  131 B, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   h.    
     As illustrated in  FIG. 6 , a temperature sensor Cj is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   j.  A temperature sensor Ch is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   h.  A temperature sensor Cg is connected through the corresponding first connection line portion  132  to the first annular line portion  131 C, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   g.    
     As illustrated in  FIG. 6 , a temperature sensor Dj is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   j.  A temperature sensor Dh is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   h.  A temperature sensor Dg is connected through the corresponding first connection line portion  132  to the first annular line portion  131 D, and connected through the corresponding second connection line portion  142  to the second annular line portion  141   g.    
     As described above, the plurality of temperature sensors  120  according to one aspect of the disclosure are connected in a one-to-one correspondence to combinations of the first common line  130  and the second common line  140 .  FIG. 7  is a circuit diagram illustrating how a plurality of temperature sensors are each electrically connected to one of a plurality of first common lines and one of a plurality of second common lines in the temperature sensor device according to aspects of the present disclosure. 
     As illustrated in  FIG. 7 , the plurality of temperature sensors  120  are electrically connected to the plurality of first common lines  130  and the plurality of second common lines  140  so as to form a matrix. 
     In one aspect of the disclosure, some of the plurality of first connection line portions  132  may have a branch line. This reduces the number of areas where the first connection line portions  132  intersect the second annular line portions  141 . 
     As illustrated in  FIG. 1  and  FIG. 3  to  FIG. 6 , the temperature sensor device  100  according to an aspect of the disclosure further includes a plurality of insulating layers  150 . When a plurality of lines intersect without being electrically connected each other, the insulating layers  150  are each disposed between the plurality of lines in the area of intersection. 
     As illustrated in  FIG. 3 , there is an area where more than one of the plurality of first annular line portions  131  intersect non-corresponding ones of the first extended line portions  133 . In the area of intersection, the insulating layer  150  is disposed between the first annular line portions  131  and the non-corresponding ones of the first extended line portions  133 . In one aspect of the disclosure, the first extended line portions  133  are disposed on one side of the insulating layer  150  adjacent to the substrate  110 , and the first annular line portions  131  are disposed on the other side of the insulating layer  150  remote from the substrate  110 . The positional relation between the lines in the area of intersection, described above, may be reversed. 
     As illustrated in  FIG. 3  and  FIG. 5 , there is an area where the plurality of first annular line portions  131  intersect the plurality of second extended line portions  143 . In the area of intersection, the insulating layer  150  is disposed between the plurality of first annular line portions  131  and the plurality of second extended line portions  143 . In one aspect of the disclosure, the second extended line portions  143  are disposed on one side of the insulating layer  150  adjacent to the substrate  110 , and the first annular line portions  131  are disposed on the other side of the insulating layer  150  remote from the substrate  110 . The positional relation between the lines in the area of intersection, described above, may be reversed. 
     As illustrated in  FIG. 3  to  FIG. 6 , there are areas where one or more of the plurality of first annular line portions  131  intersect a non-corresponding one of the first connection line portions  132 . In each area of intersection, the insulating layer  150  is disposed between the one or more of the plurality of first annular line portions  131  and the non-corresponding one of the first connection line portions  132 . In one aspect of the disclosure, the first connection line portion  132  is disposed on one side of the insulating layer  150  adjacent to the substrate  110 , and the one or more of the plurality of first annular line portions  131  are disposed on the other side of the insulating layer  150  remote from the substrate  110 . The positional relation of the lines with respect to the insulating layer  150  in the area of intersection, described above, may be reversed. 
     In one aspect of the disclosure, there are areas where one of the plurality of first connection line portions  132  intersect one or more of the second annular line portions  141 . In each area of intersection, the insulating layer  150  is disposed between the first connection line portion  132  and the one or more of the second annular line portions  141 . In one aspect of the disclosure, the one or more of second annular line portions  141  are disposed on one side of the insulating layer  150  adjacent to the substrate  110 , and the first connection line portion  132  is disposed on the other side of the insulating layer  150  remote from the substrate  110 . The positional relation of the lines with respect to the insulating layer  150  in the area of intersection, described above, may be reversed. 
     For reinforcement of lines, additional insulating layers  150  may be provided on lines outside the areas where the plurality of lines intersect each other as described above. 
     The temperature sensor device  100  may include a protective layer for insulating and protecting lines from the outside environment. The protective layer is disposed to cover the plurality of first common lines  130  and the plurality of second common lines  140 . 
     A method for manufacturing the temperature sensor device according to aspects of the present disclosure are described below. 
     First, a lower-side wiring part is formed on the substrate  110 . In one aspect of the disclosure, the lower-side wiring part includes part of the first connection line portions  132  located outside the outermost virtual ring  121   c,  the first extended line portions  133 , the second annular line portions  141 , the second connection line portions  142 , and the second extended line portion  143 . 
     In one aspect of the disclosure, for low-cost production of the temperature sensor device  100 , the lower-side wiring part is formed by applying a silver paste to the substrate  110  to print a desired pattern shape thereon, and then solidifying the silver paste with heat or ultraviolet light. The lower-side wiring part may be formed by an inkjet method, or may be formed by etching after photolithographic patterning. 
     Next, the insulating layers  150  are printed by applying an insulating material. The insulating layers  150  may be formed by an inkjet method, or may be formed by a dispensing method. 
     Next, an upper-side wiring part is formed. In one aspect of the disclosure, the upper-side wiring part includes the first annular line portions  131  and the rest of the first connection line portions  132 , not included in the lower-side wiring part. 
     In one aspect of the disclosure, for low-cost production of the temperature sensor device  100 , the upper-side wiring part is formed by applying a silver paste to the substrate  110  having the lower-side wiring part and the insulating layers  150  thereon to print a desired pattern shape, and then solidifying the silver paste with heat or ultraviolet light. The upper-side wiring part may be formed by an inkjet method, or may be formed by etching after photolithographic patterning. 
     Next, the temperature sensors  120  are added onto the substrate  110 . The temperature sensors  120  may be formed on the substrate  110  by applying thereto a material for forming the temperature sensors  120  through solder printing or reflow heating. Alternatively, the temperature sensors  120  prepared in advance may be mounted on the substrate  110 . For mounting the temperature sensors  120  on the substrate  110 , the temperature sensors  120  may be secured in place with a bonding agent that is formed, for example, by solder or conductive adhesive. In this case, the solder may be melted by laser irradiation or microwave heating. 
     The temperature sensor device  100  according to aspects of the present disclosure, such as that illustrated in  FIG. 1 , is manufactured by the process described above. The combination of lines included in each of the lower-side wiring part and the upper-side wiring part is not particularly limited, as long as the insulating layers  150  can be disposed between a plurality of lines intersecting each other. 
     As described above, in the temperature sensor device  100  according to one aspect of the disclosure, the plurality of temperature sensors  120  are spaced from each other on the plurality of concentric virtual rings  121 , and the first annular line portions  131  of the plurality of first common lines  130  are located on the outer side of the plurality of virtual rings  121 . For example, the plurality of first common lines  130  are absent in the center where the heat source is located. This allows the temperature sensors  120  to be arranged close to the center where the heat source is placed, and thus enables accurate measurement of a concentric temperature distribution. 
     In the temperature sensor device  100  according to one aspect of the disclosure, the second annular line portions  141  of the plurality of second common lines  140  are each located along and on the inner side of a corresponding one of the plurality of virtual rings  121  where a plurality of temperature sensors  120  to which the second annular line portion  141  is connected is located. For example, the plurality of second common lines  140  are absent in the center where the heat source is located. This allows the plurality of temperature sensors  120  on the innermost virtual ring  121   a  of the plurality of virtual rings  121  to be arranged closer to the center where the heat source is placed, and thus enables accurate measurement of a concentric temperature distribution. It is also possible to achieve improved responsiveness of the temperature sensor device  100  to temperature changes caused by heat from the heat source. 
     The substrate  110  is flexible in the temperature sensor device  100  according to one aspect of the disclosure. Therefore, by positioning the substrate  110  along a non-flat surface, such as a curved surface, the temperature sensor device  100  can measure a temperature distribution within the non-flat surface. 
     In the temperature sensor device  100  according to one aspect of the disclosure, the number of temperature sensors  120  located on an outer one of the plurality of virtual rings  121  is greater than the number of temperature sensors  120  located on an inner one of the plurality of virtual rings  121 . Accordingly, the circumferential distance between adjacent ones of the plurality of temperature sensors  120  located on the virtual ring  121  on the outer side can be made closer to the circumferential distance between adjacent ones of the plurality of temperature sensors  120  located on the virtual ring  121  on the inner side. This enables accurate measurement of a concentric temperature distribution. 
     In the temperature sensor device  100  according to one aspect of the disclosure, the substrate  110  has the opening  111  in the center of the plurality of virtual rings  121 . Therefore, when a heat-source holder extends perpendicularly to the direction in which the temperature distribution spreads, the temperature distribution that originates from the heat source can be measured by inserting the heat-source holder into the opening  111 . 
     In the temperature sensor device  100  according to one aspect of the disclosure, the substrate  110  includes a non-wiring region that extends from the outer edge of the substrate  110  to the opening  111  and has none of the plurality of first common lines  130  and none of the plurality of second common lines  140  located therein. This allows lines for the heat source to be connected to the heat source in the opening  111  in such a manner as to extend from outside the outer edge of the substrate  110  over the non-wiring region. Errors in measurement by the temperature sensor device  100 , resulting from the effect of lines for the heat source, can thus be reduced. 
     In the temperature sensor device  100  according to one aspect of the disclosure, the non-wiring region of the substrate  110  has the notch  112  that extends from the outer edge of the substrate  110  and communicates with the opening  111 . Therefore, when a heat-source holder extends perpendicularly to the direction in which the temperature distribution spreads, the heat-source holder can be inserted from outside the outer edge of the substrate  110  through the notch  112  into the opening  111 . This facilitates placement of the heat source in the opening  111 . 
     In the temperature sensor device  100  according to one aspect of the disclosure, the plurality of temperature sensors  120  are thermistors. The temperature sensor device  100  with high measurement accuracy can thus be manufactured at low cost. 
     A temperature sensor device according to aspects of the present disclosure will be described below with reference to the drawings. The temperature sensor device according to one aspect of the disclosure differs from the temperature sensor device  100  described above primarily in the arrangement of the first common lines and the second common lines. The description of configurations that are similar to those of the temperature sensor device  100  described above will not be repeated. 
       FIG. 8  is a plan view of a temperature sensor device according to one aspect of the disclosure.  FIG. 9  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 8 .  FIG. 10  is an enlarged plan view of region X surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 .  FIG. 11  is an enlarged plan view of region XI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 .  FIG. 12  is an enlarged plan view of region XII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 .  FIG. 13  is an enlarged plan view of region XIII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 8 . Although no insulating layers are shown in  FIG. 8  to  FIG. 13 , the temperature sensor device according to one aspect of the disclosure includes, in the areas where lines intersect, insulating layers that are similar to the insulating layers  150  of the temperature sensor device  100  according to one aspect of the disclosure. 
     As illustrated in  FIG. 8  and  FIG. 9 , in a temperature sensor device  200 , an extended portion  213  is located adjacent to a notch  212  in the circumferential direction of the plurality of virtual rings  121 . 
     As illustrated in  FIG. 8  to  FIG. 13 , a first annular line portion  231 D of a first common line  230 D is disposed closest of a plurality of first common lines  230  to the center of the plurality of virtual rings  121 , and is located along an outermost virtual ring  221   c.  A first annular line portion  231 C of a first common line  230 C is located along the first annular line portion  231 D, on the outer side of the first annular line portion  231 D in the radial direction. A first annular line portion  231 B of a first common line  230 B is located along the first annular line portion  231 C, on the outer side of the first annular line portion  231 C in the radial direction. A first annular line portion  231 A of a first common line  230 A is located along the first annular line portion  231 B, on the outer side of the first annular line portion  231 B in the radial direction. 
     In one aspect of the disclosure, a plurality of first extended line portions  233  are each connected to an end of a corresponding one of the first annular line portions  231 . For example, the first annular line portions  231 A to  231 D each extend along the outermost virtual ring  221   c  in one circumferential direction from the point of connection with the first extended line portion  233 . 
     As illustrated in  FIG. 8  and  FIG. 10  to  FIG. 13 , a second annular line portion  241   a  of a second common line  240   a,  a second annular line portion  241   b  of a second common line  240   b,  a second annular line portion  241   c  of a second common line  240   c,  a second annular line portion  241   d  of a second common line  240   d,  a second annular line portion  241   e  of a second common line  240   e,  and a second annular line portion  241   f  of a second common line  240   f  are each located along and on an inner side of the outermost virtual ring  221   c  on which corresponding ones of the plurality of temperature sensors  120  are located. 
     A second annular line portion  241   g  of a second common line  240   g,  a second annular line portion  241   h  of a second common line  240   h,  a second annular line portion  241   i  of a second common line  240   i,  and a second annular line portion  241   j  of a second common line  240   j  are each located along and on an inner side of an intermediate virtual ring  221   b  on which corresponding ones of the plurality of temperature sensors  120  are located. A second annular line portion  241   k  of a second common line  240   k  and a second annular line portion  241   l  of a second common line  240   l  are each located along and on an inner side of an innermost virtual ring  221   a  on which corresponding ones of the plurality of temperature sensors  120  are located. 
     In one aspect of the disclosure, the second annular line portions  241   a  to  241   l  each extend in one circumferential direction from the point of connection with a corresponding one of second extended line portions  243 . For example, the plurality of second annular line portions  241  extend in the same circumferential direction as the plurality of first annular line portions  231 . 
     As illustrated in  FIG. 10 , in the temperature sensor device  200  according to one aspect of the disclosure, the plurality of first annular line portions  231  each do not intersect non-corresponding ones of the first extended line portions  233 . Also, the plurality of first annular line portions  231  intersect none of the plurality of second extended line portions  243 . This reduces the number of areas where a plurality of lines intersect, and improves reliability of the temperature sensor device  200  while facilitating the process of forming lines. When a substrate  210  is flexible, the extended line portions  233  and  243  of the temperature sensor device  200  have improved flexibility at extended ends thereof. 
     A temperature sensor device according to aspects of the present disclosure will be described below with reference to the drawings. The temperature sensor device according aspects of the present disclosure described above differs from the temperature sensor device  200  described above primarily in the arrangement of the first common lines and the second common lines. The description of configurations that are similar to those of the temperature sensor device  200  according to aspects described above will not be repeated. 
       FIG. 14  is a plan view of a temperature sensor device according to one aspect of the disclosure.  FIG. 15  is a plan view illustrating an arrangement of temperature sensors in the temperature sensor device illustrated in  FIG. 14 .  FIG. 16  is an enlarged plan view of region XVI surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 .  FIG. 17  is an enlarged plan view of region XVII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 .  FIG. 18  is an enlarged plan view of region XVIII surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 .  FIG. 19  is an enlarged plan view of region XIX surrounded by a dotted line in the temperature sensor device illustrated in  FIG. 14 . Although no insulating layers are shown in  FIG. 14  to  FIG. 19 , the temperature sensor device according to one aspect of the disclosure includes, in the areas where lines intersect, insulating layers that are similar to the insulating layers  150  of the temperature sensor device  100  according aspects of the present disclosure. 
     As illustrated in  FIG. 14  and  FIG. 15 , in a temperature sensor device  300  according to one aspect of the disclosure, a substrate  310  does not have a notch. Also, the substrate  310  does not have a non-wiring region. 
     As illustrated in  FIG. 14  and  FIG. 16  to  FIG. 19 , a second annular line portion  341   a  of a second common line  340   a  and a second annular line portion  341   b  of a second common line  340   b  are each located along and on an inner side of an innermost virtual ring  321   a  on which corresponding ones of the plurality of temperature sensors  120  are located. A second annular line portion  341   c  of a second common line  340   c,  a second annular line portion  341   d  of a second common line  340   d,  a second annular line portion  341   e  of a second common line  340   e,  and a second annular line portion  341   f  of a second common line  340   f  are each located along and on an inner side of an intermediate virtual ring  321   b  on which corresponding ones of the plurality of temperature sensors  120  are located. A second annular line portion  341   g  of a second common line  340   g,  a second annular line portion  341   h  of a second common line  340   h,  a second annular line portion  341   i  of a second common line  340   i,  a second annular line portion  341   j  of a second common line  340   j,  a second annular line portion  341   k  of a second common line  340   k,  and a second annular line portion  341   l  of a second common line  340   l  are each located along and on an inner side of an outermost virtual ring  321   c  on which corresponding ones of the plurality of temperature sensors  120  are located. 
     In one aspect of the disclosure, the plurality of second annular line portions  341  extend in a direction circumferentially opposite a plurality of first annular line portions  331 . 
     As illustrated in  FIG. 16 , in the temperature sensor device  300  according to one aspect of the disclosure, the plurality of first annular line portions  331  each do not intersect non-corresponding ones of first extended line portions  333 . Also, as illustrated in  FIG. 19 , the plurality of first annular line portions  331  intersect none of a plurality of second extended line portions  343 . This reduces the number of areas where a plurality of lines intersect, and improves reliability of the temperature sensor device  300  while facilitating the process of forming lines. When the substrate  310  is flexible, the extended line portions  333  and  343  of the temperature sensor device  300  have improved flexibility at extended ends thereof. 
     In the temperature sensor device  300  according to one aspect of the disclosure, the substrate  310  does not have a notch. This allows the temperature sensors  120  to be arranged throughout the perimeter of the heat source in the circumferential direction, and thus enables accurate measurement of temperature distribution that spreads concentrically from the heat source. 
     Of the configurations described above, those capable of being combined may be combined together. 
     The description of the aspects disclosed should be considered as being illustrative in all respects and not being restrictive. The scope of the present invention is shown by the claims rather than by the above description, and is intended to include meanings equivalent to the claims and all changes in the scope. While preferred aspects of the invention have been described above, it is to be understood that variations and modifications will be apparent to those skilled in the art without departing from the scope and spirit of the invention. 
     DESCRIPTION OF REFERENCE SYMBOLS 
       100 ,  200 ,  300 : temperature sensor device,  110 ,  210 ,  310 : substrate,  111 : opening,  112 ,  212 : notch,  113 ,  213 : extended portion,  120 , Aa, Ab, Ac, Ad, Ae, Af, Ag, Ah, Ai, Aj, Ak, Al, Ba, Bb, Bc, Bd, Be, Bf, Bg, Bh, Bi, Bj, Bk, Bl, Ca, Cb, Cc, Cd, Ce, Cf, Cg, Ch, Ci, Cj, Ck, Cl, Da, Db, Dc, Dd, De, Df, Dg, Dh, Di, Dj, Dk, Dl: temperature sensor,  121 : virtual ring,  121   a,    221   a,    321   a : innermost virtual ring,  121   b,    221   b,    321   b : intermediate virtual ring,  121   c,    221   c,    321   c : outermost virtual ring,  130 ,  130 A,  130 B,  130 C,  130 D,  230 ,  230 A,  230 B,  230 C,  230 D: first common line,  131 ,  131 A,  131 B,  131 C,  131 D,  231 ,  231 A,  231 B,  231 C,  231 D,  331 : first annular line portion,  132 : first connection line portion,  133 ,  133 A,  133 B,  133 C,  133 D,  233 ,  333 : first extended line portion,  140 ,  140   a,    140   b,    140   c ,  140   d,    140   e,    140   f,    140   g,    140   h,    140   i,    140   j,    140   k,    140   l,    240   a,    240   b,    240   c,    240   d,    240   e,    240   f ,  240   g,    240   h,    240   i,    240   j,    240   k,    240   l,    340   a,    340   b,    340   c,    340   d,    340   e,    340   f,    340   g,    340   h,    340   i ,  340   j,    340   k,    340   l : second common line,  141 ,  141   a,    141   b,    141   c,    141   d,    141   e,    141   f,    141   g ,  141   h,    141   i,    141   j,    141   k,    141   l,    241 ,  241   a,    241   b,    241   c,    241   d,    241   e,    241   f,    241   g,    241   h,    241   i ,  241   j,    241   k,    241   l,    341 ,  341   a,    341   b,    341   c,    341   d,    341   e,    341   f,    341   g,    341   h,    341   i,    341   j,    341   k ,  341   l : second annular line portion,  142 : second connection line portion,  143 ,  143   a,    143   b ,  143   c,    143   d,    143   e,    143   f,    143   g,    143   h,    143   i,    143   j,    143   k,    143   l ,  243 ,  343 : second extended line portion,  150 : insulating layer.