Is there is any way to calculate the failure rate per year of lithium ion battery ( as we can calculate failure rate of converters by using MIL-HDBK ).
To calculate the failure rate, you have to define the failure mode first. Most lithium ion batteries degrade slowly, having reduced capacity etc. For any item that degrades gradually, you have to define a threshold that renders the item failed. Or you define failure as "battery combusts spontaneously" leaving out all degradation issues. And then - of course - you have to collect data.
It depends on your definition, failure is when the battery expires or when the battery is fully discharged?
For the first case, you can check when it will expire and assuming it obeys exponential failure distribution, you can calculate the failure rate using 1/T where T is mean time to failure (Expire).
For the second case, you can use advanced models such as Gaussian mixture. For more details you can check the following paper:
Article Remaining energy estimation for lithium-ion batteries via Ga...
If you mean failure rate in the sense that a cell fails completely we have tried to get relaible data - there is no.
Aging is another issue where failure is defined as less than 80% of the intitial capacity. There is tons of literature, experiments, models. Roughly you can calcuate that a NMC Lithium-Ion cells sustains 1000 full charge/discharge cycles.