Technical Description of OBD-II Trouble Code
Transmission Control Module (TCM) Processor
What does that signify?
This generic powertrain diagnostic trouble code (DTC) is commonly found in many OBD-II vehicles, including those from Chrysler, Dodge, Jeep, Audi, Land Rover, etc.
A stored code P0613 indicates that the transmission control module (TCM) has detected a malfunction in its internal control processor.
In some cases, the TCM may be separate from the powertrain control module (PCM), but it is usually integrated into the PCM to save space, time, and money for automakers.
Every time the ignition is turned on and the PCM is powered, multiple self-tests are performed by the controllers. Along with internal controller self-tests, the controller area network (CAN) is used to compare signals from each module to ensure proper interaction between the controllers.
If the PCM detects a problem in TCM function, it will store a code P0613 and may illuminate the malfunction indicator lamp (MIL). Depending on the severity of the malfunction, multiple failure cycles may be required for MIL illumination.
A transmission control module:

What is the seriousness of this DTC?
Internal control module codes should always be taken seriously. A stored code P0613 can lead to various concerns with the automatic transmission, such as delayed or erratic shifting, or even failure to shift.
What are some of the symptoms of the code?
Symptoms of a P0613 trouble code may include:
What are some of the common causes of the code?
Possible causes for this code may include:
What are some P0613 troubleshooting steps?
Unfortunately, diagnosing a code P0613 can be quite challenging even for experienced technicians. Reprogramming may also be an issue, as it requires specific equipment. Without the necessary reprogramming equipment, it is impossible to replace a defective controller and successfully repair the issue.
If there are TCM/PCM power supply codes present, they should be repaired before attempting to diagnose a P0613.
Before declaring any controller defective, several preliminary tests can be performed. These tests require a diagnostic scanner, a digital volt/ohmmeter (DVOM), and reliable vehicle information.
Connect the scanner to the vehicle diagnostic port and retrieve all stored codes and freeze frame data. It is important to write down this information in case the code is intermittent. After recording the information, clear the codes and test drive the vehicle until the code is reset or the PCM enters readiness mode. If the TCM/PCM enters readiness mode, the code is intermittent and will be more difficult to diagnose. In some cases, the condition that caused the P0613 to be stored may need to worsen before a diagnosis can be made. If the code is reset, continue with the following preliminary tests.
When diagnosing a P0613, information is crucial. Search for technical service bulletins (TSB) that match the stored code, vehicle (year, make, model, and engine), and exhibited symptoms. The right TSB may provide diagnostic information that can greatly assist in the diagnosis.
Use the vehicle information source to obtain connector face views, connector pin-out charts, component locators, wiring diagrams, and diagnostic flow charts related to the code and vehicle in question.
Use the DVOM to test controller power supply fuses and relays. Replace blown fuses as necessary. Fuses should be tested with the circuit loaded.
If all fuses and relays appear to be functioning properly, visually inspect the controller-related wiring and harnesses. Also, check the chassis and engine ground junctions. Use the vehicle information source to find ground locations for related circuits. Use the DVOM to test ground integrity.
Inspect system controllers for signs of water, heat, or collision damage. Any damaged controller, especially due to water, should be considered defective.
If the controller power and ground circuits are intact, suspect a defective controller or a controller programming error. Controller replacement will require reprogramming. In some cases, reprogrammed controllers can be purchased through aftermarket sources. Other vehicles/controllers will require on-board reprogramming that can only be done through a dealership or other qualified source.