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Power system transient recovery voltage (TRV) calculation: Switching overvoltages.

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Transient Recovery Voltage (TRV) is a critical parameter in power systems, particularly during circuit breaker operations and switching events. When a circuit breaker interrupts the flow of current, an arc is generated due to the sudden opening of contacts. This arc results in the creation of a transient voltage known as the Transient Recovery Voltage.

The magnitude and duration of the TRV are crucial because they can lead to overvoltages that may damage equipment or disrupt the system's stability. The TRV calculation is essential to ensure the proper design and coordination of protection devices within the power system.

The TRV can be calculated using the following steps:

Identify the system configuration and conditions: This includes the rated voltage, rated frequency, the impedance of the network, and the type of circuit breaker used.

Determine the fault type and location: Depending on the switching scenario, different types of faults may occur. The most common ones are single-phase, line-to-line, and three-phase faults.

Calculate the system reactance: The reactance of the system plays a crucial role in determining the TRV magnitude. It is usually expressed in per unit (pu) and can be obtained from system data or impedance calculations.

Model the circuit breaker: Modeling the circuit breaker involves considering its interrupting capability and the time it takes to open the contacts.

Determine the rate of rise of recovery voltage (RRRV): RRRV is the rate at which the transient voltage increases after the current interruption. It is essential to check if the rate exceeds the withstand capability of the connected equipment.

Evaluate the TRV magnitude: By considering the above factors and using appropriate mathematical equations, the magnitude of the TRV can be calculated.

Check system and equipment ratings: Compare the calculated TRV with the equipment's insulation level and ratings. Ensure that the equipment can withstand the calculated TRV without being damaged.

It is crucial to have accurate data and models for circuit breakers, power system components, and equipment ratings to perform a reliable TRV calculation. Additionally, the TRV calculation is typically carried out using specialized software and simulation tools to account for various complexities and accurately assess the transient behavior of the system during switching events.
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