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Question

Find the making current for a circuit breaker rated at 1000 A, 3000 MVA, 66 kV, 3 sec, 3 – phase, oil circuit breaker

The correct answer is

66.92 kA

Understanding Circuit Breaker Making Current

The making current (also known as the peak making current) of a circuit breaker is the maximum asymmetrical current that the breaker can safely make (close) under short-circuit conditions. It's an important parameter for ensuring the breaker's mechanical and electrical integrity during the initial moments of a fault.

Calculating Rated Breaking Current

First, we need to calculate the RMS symmetrical breaking current ($I_b$) using the circuit breaker's rated breaking capacity ($S_{rated}$) and rated voltage ($V_{rated}$). The formula for a 3-phase system is:

$$I_b = \frac{S_{rated}}{\sqrt{3} \times V_{rated}}$$

Given:

  • Rated Breaking Capacity ($S_{rated}$) = 3000 MVA = $3000 \times 10^6$ VA
  • Rated Voltage ($V_{rated}$) = 66 kV = $66 \times 10^3$ V

Substitute the values into the formula:

$$I_b = \frac{3000 \times 10^6 \text{ VA}}{\sqrt{3} \times (66 \times 10^3) \text{ V}}$$

$$I_b = \frac{3000 \times 10^3}{\sqrt{3} \times 66} \text{ A}$$

$$I_b \approx \frac{3000000}{1.732 \times 66} \text{ A}$$

$$I_b \approx \frac{3000000}{114.312} \text{ A}$$

$$I_b \approx 26243.7 \text{ A}$$

Converting this to kiloamperes (kA):

$$I_b \approx 26.24 \text{ kA}$$

Calculating Making Current

The making current ($I_m$) is typically calculated as a multiple of the RMS symmetrical breaking current. This multiple, known as the making current factor (K), accounts for the DC offset that occurs during a short circuit. For standard industrial applications, a common factor is K = 2.55 (based on IEC standards for a typical X/R ratio).

The formula is:

$$I_m = K \times I_b$$

Using the calculated breaking current and the factor K = 2.55:

$$I_m = 2.55 \times 26.2437 \text{ kA}$$

$$I_m \approx 66.921 \text{ kA}$$

Final Result

Therefore, the making current for the circuit breaker is approximately 66.92 kA.

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Important Questions from Ratings of Circuit Breakers

  1. A three-phase, 33 kV oil circuit breaker is rated 1200 A, 2000 MVA, 3 s. The symmetrical breaking current is

  2. In circuit breakers, which of the following methods is a NOT a correct method of increasing arc resistance?
  3. A three-phase 33 kV, oil-circuit breaker is rated 1500 A, 2000 MVA, 2 s. The symmetrical breaking current for this breaker would be

  4. Which of the following is the most common protection device that can make or break the circuit either manually or through remote control under normal operating conditions?

  5. Operating conditions for tungsten contacts are voltage AC or DC up to ______ and current up to ______.

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