Heating device for use in the repair or production of a component of a wind power installation, in particular a rotor blade of a wind power installation, comprising a silicon mat with at least one peripherally extending passage open to one side, and a vacuum tube in the at least one passage, and at least one heating unit, wherein the at least one peripherally extending passage divides the mat into a first and a second portion (130, 140), wherein the at least one heating unit is provided in the region of the first portion, wherein the air in the region of the first portion can be sucked away by the vacuum tube, at least one first temperature sensor in the region of the heating unit for detecting a temperature in the region of the heating unit, and at least one second temperature sensor in a region between the at least one heating unit and a repair location, wherein the at least one first temperature sensor is arranged substantially centrally in the region of the heating unit, a control unit for controlling the heating unit depending on the temperature detected by the first temperature sensor, wherein the control unit comprises at least a first and second temperature mode, wherein the control unit is configured in the first temperature mode to control the operation of the heating unit depending on the temperature detected by the first and/or second temperature sensor (170, 160) and is configured to perform an exothermy detection of the used matrix, configured to reduce the heating power of the heating unit, if an exothermy has been detected, to detect a decline of the exothermy by monitoring the temperature detected by the first and/or second temperature sensor (170, 160) and to switch from the first into the second temperature mode, wherein the control unit is configured in the second temperature mode to increase a heating power of the heating element and to maintain the heating power for a predetermined time interval. a silicon mat with at least one peripherally extending passage open to one side, and a vacuum tube in the at least one passage, and at least one heating unit, wherein the at least one peripherally extending passage divides the mat into a first and a second portion (130, 140), wherein the at least one heating unit is provided in the region of the first portion, wherein the air in the region of the first portion can be sucked away by the vacuum tube, at least one first temperature sensor in the region of the heating unit for detecting a temperature in the region of the heating unit, and at least one second temperature sensor in a region between the at least one heating unit and a repair location, wherein the at least one first temperature sensor is arranged substantially centrally in the region of the heating unit, a control unit for controlling the heating unit depending on the temperature detected by the first temperature sensor, wherein the control unit comprises at least a first and second temperature mode, wherein the control unit is configured in the first temperature mode to control the operation of the heating unit depending on the temperature detected by the first and/or second temperature sensor (170, 160) and is configured to perform an exothermy detection of the used matrix, configured to reduce the heating power of the heating unit, if an exothermy has been detected, to detect a decline of the exothermy by monitoring the temperature detected by the first and/or second temperature sensor (170, 160) and to switch from the first into the second temperature mode, wherein the control unit is configured in the second temperature mode to increase a heating power of the heating element and to maintain the heating power for a predetermined time interval.