High-capacity LFP battery thermal runaway early warning method based on gas precipitation characteristics
A thermal runaway, large-capacity technology, applied in the direction of lithium batteries, secondary batteries, non-aqueous electrolyte batteries, etc., can solve problems such as thermocouple or temperature sensor internal and external temperature error, early warning failure, and susceptibility to external disturbances, etc.
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[0020] Assuming that the sampled signal is X(m), the length is N, N is 5 to 8, m∈[0,N], where n is an integer, then the DFT of x[n] is:
[0021]
[0022] because Formula (1) can be transformed into:
[0023]
[0024] define function Y k (n):
[0025]
[0026]
[0027] It can be seen that Y k (n) is the convolution of two sequences, where x(n) is the input N-point sequence, h k (n) is the filter impulse response sequence. Z-transform formula (4):
[0028]
[0029] Then the recurrence equation of the first-order system is:
[0030]
[0031] Calculate the discrete Fourier change of N points according to the Goertzel algorithm, which requires 4N 2 real multiplications and 4N 2 Addition of real numbers. When N is small, the efficiency of the algorithm is not high, so the Goertezl algorithm is improved. Multiply the denominator and numerator of formula (5) Obtaining formula (7), the transfer function H(z) of the second-order IIR filter is:
[0032] ...
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