The Study on the Cold-State Breakdown Characteristics of Different Environmentally Friendly Gases

C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N) is a potential alternative to SF<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</inf> gas. Researching the critical breakdown field strength of C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N and its mixed gases is of great significance for further studying their insulating properties. This paper establishes a mathematical model for the critical breakdown field strength of gases, employs a two-term approximation method to solve the Boltzmann equation, and calculates the electron energy distribution function (EEDF) for different proportions of C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N mixed gases and synthetic air under reduced electric fields ranging from 100Td to 1000 Td at a temperature of 300 K, The reduced ionization coefficient α/N and the reduced attachment coefficient β/N in the gas collision process were calculated, and the reduced breakdown field strengths for different proportions of C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N mixed gases and synthetic air were obtained. The study shows that when the proportion of C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N is fixed and E/N increases, the value of α/N increases while β/N decreases. The values of α/N and β/N are the highest for pure O<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> and the lowest for pure N<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>, and they become saturated when E/N exceeds 300 Td. The breakdown field strength of the C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N mixed gas linearly increases with the content and is affected by the O<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> content, with 2%-10% O2 being able to maintain the breakdown field strength. The breakdown field strength of synthetic air increases with the increase in O<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> content. The increase in H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>O content causes the breakdown field strength of the C<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</inf>F<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</inf>N mixed gas to decrease to a maximum of 70.3%. At 900 μL/L and 1500 μL/L of trace moisture, the breakdown field strengths reach 72.3% and 71.0%, respectively. A trace moisture content of 300 μ L/L reduces the breakdown field strength of air to 85.2%, and at 1200 μL/L of trace moisture, it drops to 68.3%, with the breakdown field strength being 214.6 Td.