Thermal printer heating control method and system

By sensing the current temperature of the heat sink inside the thermal printer and calculating the thermal chip voltage data, the time required for the thermal chip temperature to rise is calculated using uncertain integrals, which realizes the precise heating control of the thermal printer, solves the problem of too dark image color and improves the printing quality.

CN119872084APending Publication Date: 2025-04-25SHENZHEN AOLAI XINCHUANG TECH CO LTD
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Patent Information

Application Number
CN202510227407.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-02-27
Publication Date
2025-04-25

AI Technical Summary

Technical Problem

The images printed by thermal printers under high temperature overheating are too dark in color, making it difficult for the prior art to achieve accurate heating control.

Method used

By sensing the current temperature of the heat sink inside the thermal printer and obtaining the thermal sheet voltage data in the heating power, the accurate time required for the thermal sheet temperature to rise to the target temperature is calculated using uncertain integrals, thereby realizing the heating control of the thermal sheet.

Benefits of technology

Accurate control of the temperature of the thermal printer, ensuring that the image does not change color for a long time, and improving printing quality.

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Abstract

The invention relates to the technical field of thermal printer heating control, and discloses a thermal printer heating control method and system. The thermal printer heating control method is applied to a temperature control device and specifically comprises the following steps that S101, a printing request sent by a controller is received, the current temperature of a cooling fin in a thermal printer is determined to be T0, and the temperature needing to be increased by a thermosensitive sheet is determined to be T; s102, presetting the work required by the current of the thermal printer to be E0 when the temperature of the thermosensitive sheet rises to T; the accurate value of the time t required when the temperature of the thermosensitive sheet in the thermal printer rises to T is acquired, so that the heating duration of the thermosensitive sheet is determined, the temperature control device sends the accurate value of the required time t to the thermosensitive sheet in the thermal printer subsequently, and heating and image printing of the accurate value of the required time t are completed. The temperature of the thermal printer is ensured, so that a printed image can be placed for a long time without changing color, and the printing quality of the thermal printer is improved.
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Description

Technical Field

[0001] The present invention relates to the technical field of heating control of thermal printers, and in particular to a heating control method and system for thermal printers. Background Art

[0002] The image of a thermal printer is generated by heating and chemical reaction in the film. The thermal printer selectively heats the determined position of the thermal paper, thereby generating the corresponding graphics. The heating is provided by a small electronic heater on the print head that contacts the thermal material. The heater is arranged in the form of square dots or strips and is logically controlled by the printer. When driven, a graphic corresponding to the heating element is generated on the thermal paper. The same logic circuit that controls the heating element also controls the paper feed, so that the graphics can be printed on the entire label or paper.

[0003] The working principle of a thermal printer is that a semiconductor heating element is installed on the print head. After the print head is heated and contacts the thermal printing paper, the required pattern can be printed out. Its principle is similar to that of a thermal fax machine. The image is generated by heating and producing a chemical reaction in the film. The chemical reaction of this thermal printer is carried out at a certain temperature, and high temperature will accelerate this chemical reaction. When the temperature is lower than 60°C, it takes a long time, even several years, for the paper to turn dark; when the temperature is 200°C, this reaction will be completed within a few microseconds. Therefore, it is urgent to design a heating control method for thermal printers to solve the problem of too dark color of images printed by thermal printers under high temperature overheating. Summary of the invention

[0004] The purpose of the present invention is to provide a thermal printer heating control method and system, which can complete the heating and image printing of the required time t with a precise value, ensure the temperature of the thermal printer, so that the printed image can be placed for a long time without changing color, and improve the printing quality of the thermal printer. It aims to solve the problem in the prior art that the chemical reaction of the thermal printer is carried out at a certain temperature and high temperature will accelerate the chemical reaction.

[0005] The present invention is implemented in this way: a thermal printer heating control method is applied to a temperature control device and specifically comprises the following steps: S101: receiving a print request sent by a controller, determining that the current temperature of the heat sink inside the thermal printer is T0, and that the temperature of the thermal sheet needs to rise to T; S102: When the temperature of the thermal sheet rises to T, the work required by the current of the thermal printer is set to E0, the heat dissipated by the heat sink during reheating is E1, and the temperature rise of the thermal sheet is T-T0. According to the law of energy conservation, it can be obtained that: (E0-E1) / C=T-T0=>E0-E1=C*(T-T0), E0=P*t, E1=(T-T0)*K; Where C is the specific heat capacity of the semiconductor heating element, P is the heating power, t is the time required for the temperature of the thermal sheet inside the thermal printer to rise to T, and K is the heat dissipation coefficient of the heat sink; S103: Differentiating the time t and the temperature rise value T-T0, we can get: [P–(T-T0)*K]*dt=C*dT, dt=C / (P-(T-T0)*K)*dT; The logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through indefinite integral; S104: The time boundary required for heating is obtained by differential calculation derived from S103, which is 0-t, and the temperature boundary is T0-T; S105: By obtaining the time boundary of 0-t and the temperature boundary of T0-T, the precise value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, and the temperature control device sends the precise value of the required time t to the thermal sheet inside the thermal printer to complete the heating and image printing of the precise value of the required time t.

[0006] Further, in S101, receiving a print request sent by a controller includes: receiving a connection request sent by a controller through a preset network, wherein the connection request is used to request to establish a connection with the temperature control device; Detecting whether the current account of the controller is the target account; If the current account of the controller is the target account, a connection is made with the controller according to the connection request, and after the connection is completed, a print request sent by the controller is received.

[0007] Furthermore, the preset network includes one or a combination of a 3G network, a 4G network, a 5G network, and a WIFI network.

[0008] Furthermore, the controller is an external terminal device, and the external terminal device includes a mobile phone, a tablet or a terminal computer.

[0009] Further, in S101, the current temperature T0 is obtained in the following manner: A temperature sensor is arranged on the heat sink, and the temperature sensor is connected to the temperature control device. When the temperature control device receives a print request sent by the controller, it obtains the current temperature T0 of the heat sink inside the thermal printer by sending a signal to the temperature sensor.

[0010] Further, in S102, the heating power P is obtained in the following manner: A voltage monitoring unit is provided on the thermal sheet, and the voltage monitoring unit records the value of the voltage across the thermal sheet each time heating is performed in the thermal printer; Obtaining voltage value records at both ends of the thermal printer during heating in a unit cycle, and identifying voltage values ​​that appear more frequently from the voltage value records; The value of the heating power P is calculated by identifying the voltage value that appears more frequently and the thermistor parameters.

[0011] Further, in S103, a logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through an indefinite integral, and the indefinite integral formula is: Among them, T: the temperature required for printing, that is, the target temperature, T0: the temperature of the heat sink; P: heating power, K: heat dissipation coefficient of the heat sink; C: specific heat capacity of the semiconductor heating element; t: the heating time required for the thermal film.

[0012] Further, in S104, the time boundary required for heating is obtained by the differential calculation derived from S103, which is 0-t, and the temperature boundary is T0-T, including: Assume x=P-(T-T0)*K, dx=-K*Dt, substitute x, dx into Win: , t=- *LN(x) (LN is the natural logarithm); Substituting x=P-(T-T0)*K back into the above formula, we get: t=-C / K*LN(P-(T-T0)*K).

[0013] Further, in S105, by obtaining the time boundary of 0-t and the temperature boundary of T0-T, the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, including: Since the calculated time t is the time required for the temperature boundary to be T0-T, the calculation formula is: Time t - 0 = - (C / K* LN( P -(T - T0)*K ) - C / K* LN( P )); t = - C / K*LN(1 -(T - T0)*K / P) .

[0014] Compared with the prior art, the thermal printer heating control method and system provided by the present invention have the following beneficial effects: 1. By sensing the current temperature of the heat sink inside the thermal printer as T0 and obtaining the voltage data of the thermal film in calculating the heating power P, as well as the correlation coefficients of the heat sink and the thermal film inside the thermal printer, and deducing according to the temperature that the thermal film needs to rise in advance, and then obtaining the logical calculation formula of the time t required for the temperature of the thermal film inside the thermal printer to rise to T through indefinite integral, the time boundary finally obtained is 0-t, and the temperature boundary is T0-T, and the precise value of the time t required for the temperature of the thermal film inside the thermal printer to rise to T is obtained, thereby determining the heating time of the thermal film. In this way, the subsequent temperature control device sends the precise value of the required time t to the thermal film inside the thermal printer, completes the heating and image printing of the precise value of the required time t, ensures the temperature of the thermal printer, and enables the printed image to be placed for a long time without discoloration, thereby improving the printing quality of the thermal printer; 2. The temperature control device of the thermal printer receives a connection request sent by the controller through a preset network, and the connection request is used to request to establish a connection with the temperature control device. The preset network includes one of the 3G network, 4G network, 5G network, and WIFI network or a combination thereof, and the controller is an external terminal device including a mobile phone, a tablet or a terminal computer, thereby realizing efficient and fast thermal printing and facilitating data transmission.

[0015] A thermal printer heating control system is applied to the above-mentioned thermal printer heating control method, and the system comprises: The sensing unit is used to sense the current temperature of the heat sink inside the thermal printer as T0 and obtain the voltage data of the thermal sheet for calculating the heating power P; An acquisition unit, used for acquiring target data in a print request and classifying the acquired target data; A logic budget unit is used to perform logic pre-calculation on the classified target data to obtain the logical relationship between the time t and the temperature rise value T-T0; The differential calculation unit is used to obtain the logical calculation formula of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T through indefinite integral, and obtain the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T by taking into account the time boundary required for heating as 0-t and the temperature boundary as T0-T; The output unit is used to output the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T, and send it to the thermal printer to complete the operation and printing. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] Figure 1 This is a schematic flow chart of the heating control method for a thermal printer proposed by the present invention; Figure 2A schematic block diagram of the process of receiving a print request sent by a controller in the thermal printer heating control method proposed by the present invention; Figure 3 This is a schematic diagram of the structure of the thermal printer heating control system proposed by the present invention. DETAILED DESCRIPTION

[0017] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention.

[0018] The implementation of the present invention is described in detail below in conjunction with specific embodiments.

[0019] The same or similar numbers in the drawings of this embodiment correspond to the same or similar parts; in the description of the present invention, it should be understood that if the terms "upper", "lower", "left", "right" and the like indicate directions or positional relationships based on the directions or positional relationships shown in the drawings, it is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific direction, be constructed and operated in a specific direction. Therefore, the terms describing the positional relationship in the drawings are only used for illustrative purposes and cannot be understood as limitations on the present invention. For ordinary technicians in this field, the specific meanings of the above terms can be understood according to specific circumstances.

[0020] Reference Figure 1-2 As shown, the thermal printer heating control method is applied to a temperature control device and specifically includes the following steps: S101: receiving a print request sent by a controller, determining that the current temperature of the heat sink inside the thermal printer is T0, and that the temperature of the thermal sheet needs to rise to T; The step of receiving a print request sent by the controller includes: receiving a connection request sent by the controller through a preset network, the connection request being used to request to establish a connection with the temperature control device; Check whether the current account of the controller is the target account; If the current account of the controller is the target account, a connection is made with the controller according to the connection request, and after the connection is completed, a print request sent by the controller is received.

[0021] S102: When the temperature of the thermal sheet rises to T, the work required by the current of the thermal printer is set to E0, the heat dissipated by the heat sink during reheating is E1, and the temperature rise of the thermal sheet is T-T0. According to the law of energy conservation, it can be obtained that: (E0-E1) / C=T-T0=>E0-E1=C*(T-T0), E0=P*t, E1=(T-T0)*K; Where C is the specific heat capacity of the semiconductor heating element, P is the heating power, t is the time required for the temperature of the thermal sheet inside the thermal printer to rise to T, and K is the heat dissipation coefficient of the heat sink; The heating power P is obtained as follows: A voltage monitoring unit is provided on the thermal sheet, and the voltage monitoring unit records the value of the voltage across the thermal sheet each time heating is performed in the thermal printer; Obtaining voltage value records at both ends of the thermal printer during heating in a unit cycle, and identifying voltage values ​​that appear more frequently from the voltage value records; The value of heating power P is calculated by identifying the voltage value with a higher frequency and the thermal film parameters; S103: Differentiating the time t and the temperature rise value T-T0, we can get: [P–(T-T0)*K]*dt=C*dT, dt=C / (P-(T-T0)*K)*dT; The logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through indefinite integral; Among them, the logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through the indefinite integral. The indefinite integral formula is: ; Wherein, T: the temperature required for printing, that is, the target temperature, T0: the temperature of the heat sink; P: heating power, K: heat dissipation coefficient of the heat sink; C: specific heat capacity of the semiconductor heating element; t: the heating time required for the thermal film; S104: The time boundary required for heating obtained by the differential calculation derived from S103 is 0-t, and the temperature boundary is T0-T; wherein, the time boundary required for heating obtained by the differential calculation derived from S103 is 0-t, and the temperature boundary is T0-T, including: Assume x=P-(T-T0)*K, dx=-K*Dt, substitute x, dx into Win: , t=- (LN is the natural logarithm); Substitute x=P-(T-T0)*K back into the above formula and we get: t=-C / K*LN(P-(T-T0)*K).

[0022] S105: By obtaining the time boundary of 0-t and the temperature boundary of T0-T, the precise value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, and the temperature control device sends the precise value of the required time t to the thermal sheet inside the thermal printer, and completes the heating and image printing of the precise value of the required time t, by sensing the current temperature of the heat sink inside the thermal printer as T0 and obtaining the thermal sheet voltage data in the calculation of the heating power P, as well as the correlation coefficients of the heat sink and the thermal sheet inside the thermal printer, and deducing according to the temperature that the thermal sheet needs to rise in advance, and then by not Definite integral is used to obtain the logical calculation formula of the time t required for the temperature of the thermal film inside the thermal printer to rise to T. Finally, the time boundary obtained is 0-t, and the temperature boundary is T0-T. The precise value of the time t required for the temperature of the thermal film inside the thermal printer to rise to T is obtained, thereby determining the heating time of the thermal film. In this way, the subsequent temperature control device will send the precise value of the required time t to the thermal film inside the thermal printer, complete the heating and image printing of the precise value of the required time t, ensure the temperature of the thermal printer, so that the printed image can be placed for a long time without changing color, and improve the printing quality of the thermal printer.

[0023] In this embodiment, the preset network includes one or a combination of 3G network, 4G network, 5G network, and WIFI network, and the controller is an external terminal device, and the external terminal device includes a mobile phone, a tablet or a terminal computer.

[0024] In S101 of this embodiment, the current temperature T0 is obtained as follows: a temperature sensor is provided on the heat sink, and the temperature sensor is connected to the temperature control device. When the temperature control device receives a print request issued by the controller, the current temperature T0 of the heat sink inside the thermal printer is obtained by sending a signal to the temperature sensor.

[0025] In S105 of this embodiment, by obtaining the time boundary of 0-t and the temperature boundary of T0-T, the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, including: Since the calculated time t is the time required for the temperature boundary to be T0-T, the calculation formula is: Time t - 0 = - (C / K* LN( P -(T - T0)*K ) - C / K* LN( P )); t = - C / K*LN(1 -(T - T0)*K / P).

[0026] The temperature control device of the thermal printer of the present technical solution receives a connection request sent by the controller through a preset network. The connection request is used to request to establish a connection with the temperature control device. The preset network includes one of the 3G network, 4G network, 5G network, and WIFI network or a combination thereof, and the controller is an external terminal device including a mobile phone, a tablet or a terminal computer, thereby realizing efficient and fast thermal printing and facilitating data transmission.

[0027] Reference Figure 3 As shown, a thermal printer heating control system is applied to the above-mentioned thermal printer heating control method, and the system includes: a sensing unit, which is used to sense the current temperature of the heat sink inside the thermal printer as T0 and obtain the thermal film voltage data in calculating the heating power P; an acquisition unit, which is used to obtain the target data in the print request and classify the acquired target data; a logic budget unit, which is used to perform logical pre-calculation on the classified target data to obtain the logical relationship between the time t and the temperature rise value T-T0; a differential calculation unit, which is used to obtain the logical calculation formula of the time t required for the temperature of the thermal film inside the thermal printer to rise to T through an indefinite integral, and obtain the precise value of the time t required for the temperature of the thermal film inside the thermal printer to rise to T by comparing the acquired time boundary required for heating as 0-t and the temperature boundary as T0-T; an output unit, which is used to output the acquired precise value of the time t required for the temperature of the thermal film inside the thermal printer to rise to T The value is sent to the thermal printer to complete the operation and printing. The current temperature of the heat sink inside the thermal printer is sensed as T0 and the voltage data of the thermal film in the calculation of the heating power P is obtained, as well as the correlation coefficients of the heat sink and the thermal film inside the thermal printer. The temperature rise required for the thermal film is deduced in advance, and then the logical calculation formula of the time t required for the temperature of the thermal film inside the thermal printer to rise to T is obtained through indefinite integral. Finally, the time boundary obtained is 0-t, and the temperature boundary is T0-T. The precise value of the time t required for the temperature of the thermal film inside the thermal printer to rise to T is obtained, thereby determining the heating time of the thermal film. In this way, the subsequent temperature control device sends the precise value of the required time t to the thermal film inside the thermal printer, completes the heating and image printing of the precise value of the required time t, and ensures the temperature of the thermal printer, so that the printed image can be placed for a long time without discoloration, thereby improving the printing quality of the thermal printer. The temperature control device of the thermal printer of the present technical solution receives a connection request sent by the controller through a preset network, and the connection request is used to request to establish a connection with the temperature control device. The preset network includes one of the 3G network, 4G network, 5G network, and WIFI network or a combination thereof, and the controller is an external terminal device including a mobile phone, a tablet or a terminal computer, thereby realizing efficient and fast thermal printing and facilitating data transmission.

[0028] In this embodiment, the entire operation process can be controlled by a computer to achieve automatic operation control, and in each operation link, sensors can be set to provide signal feedback to achieve sequential execution of steps. These are all common knowledge of current automatic control and will not be described in detail in this embodiment.

[0029] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims

1. A thermal printer heating control method, characterized in that: Applied to temperature control device, specifically including the following steps: S101: receiving a print request sent by a controller, determining that the current temperature of the heat sink inside the thermal printer is T0, and that the temperature of the thermal sheet needs to rise to T; S102: When the temperature of the thermal sheet rises to T, the work required by the current of the thermal printer is set to E0, the heat dissipated by the heat sink during reheating is E1, and the temperature rise of the thermal sheet is T-T0. According to the law of energy conservation, it can be obtained that: (E0-E1) / C=T-T0=>E0-E1=C*(T-T0), E0=P*t, E1=(T-T0)*K; Where C is the specific heat capacity of the semiconductor heating element, P is the heating power, t is the time required for the temperature of the thermal sheet inside the thermal printer to rise to T, and K is the heat dissipation coefficient of the heat sink; S103: Differentiating the time t and the temperature rise value T-T0, we can get: [P–(T-T0)*K]*dt=C*dT, dt=C / (P-(T-T0)*K)*dT; The logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through indefinite integral; S104: The time boundary required for heating is obtained by differential calculation derived from S103, which is 0-t, and the temperature boundary is T0-T; S105: By obtaining the time boundary of 0-t and the temperature boundary of T0-T, the precise value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, and the temperature control device sends the precise value of the required time t to the thermal sheet inside the thermal printer to complete the heating and image printing of the precise value of the required time t.

2. The thermal printer heating control method according to claim 1, characterized in that: In S101, receiving a print request sent by a controller includes: receiving a connection request sent by a controller through a preset network, wherein the connection request is used to request to establish a connection with the temperature control device; Detecting whether the current account of the controller is the target account; If the current account of the controller is the target account, a connection is made with the controller according to the connection request, and after the connection is completed, a print request sent by the controller is received.

3. The thermal printer heating control method according to claim 2, characterized in that: The preset network includes one or a combination of a 3G network, a 4G network, a 5G network, and a WIFI network.

4. The thermal printer heating control method according to claim 3, characterized in that: The controller is an external terminal device, and the external terminal device includes a mobile phone, a tablet or a terminal computer.

5. The thermal printer heating control method according to claim 4, characterized in that: In S101, the current temperature T0 is obtained in the following manner: A temperature sensor is arranged on the heat sink, and the temperature sensor is connected to the temperature control device. When the temperature control device receives a print request sent by the controller, it obtains the current temperature T0 of the heat sink inside the thermal printer by sending a signal to the temperature sensor.

6. The thermal printer heating control method according to claim 5, characterized in that: In S102, the heating power P is obtained as follows: A voltage monitoring unit is provided on the thermal sheet, and the voltage monitoring unit records the value of the voltage across the thermal sheet each time heating is performed in the thermal printer; Obtaining voltage value records at both ends of the thermal printer during heating in a unit cycle, and identifying voltage values ​​that appear more frequently from the voltage value records; The value of the heating power P is calculated by identifying the voltage value that appears more frequently and the thermistor parameters.

7. The thermal printer heating control method according to claim 6, characterized in that: In S103, a logical calculation formula for the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained through an indefinite integral, and the indefinite integral formula is: ; Among them, T: the temperature required for printing, that is, the target temperature, T0: the temperature of the heat sink; P: heating power, K: heat dissipation coefficient of the heat sink; C: specific heat capacity of the semiconductor heating element; t: the heating time required for the thermal film.

8. The thermal printer heating control method according to claim 7, characterized in that: In S104, the time boundary required for heating is obtained by the differential calculation derived from S103, which is 0-t, and the temperature boundary is T0-T, including: Assume x=P-(T-T0)*K, dx=-K*Dt, substitute x, dx into Win: , (LN is the natural logarithm); Substituting x=P-(T-T0)*K back into the above formula, we get: t=-C / K*LN(P-(T-T0)*K).

9. The thermal printer heating control method as claimed in claim 8, characterized in that: In S105, by obtaining the time boundary of 0-t and the temperature boundary of T0-T, the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T is obtained, including: Since the calculated time t is the time required for the temperature boundary to be T0-T, the calculation formula is: Time t - 0 = - (C / K* LN( P -(T - T0)*K ) - C / K* LN( P )); t = - C / K*LN(1 -(T - T0)*K / P).

10. Thermal printer heating control system, characterized in that: The thermal printer heating control method according to any one of claims 1 to 9, wherein the system comprises: The sensing unit is used to sense the current temperature of the heat sink inside the thermal printer as T0 and obtain the voltage data of the thermal sheet for calculating the heating power P; An acquisition unit, used for acquiring target data in a print request and classifying the acquired target data; A logic budget unit is used to perform logic pre-calculation on the classified target data to obtain the logical relationship between the time t and the temperature rise value T-T0; The differential calculation unit is used to obtain the logical calculation formula of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T through indefinite integral, and obtain the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T by taking into account the time boundary required for heating as 0-t and the temperature boundary as T0-T; The output unit is used to output the accurate value of the time t required for the temperature of the thermal sheet inside the thermal printer to rise to T, and send it to the thermal printer to complete the operation and printing.

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