LC-filter-based inverter with H6-type（LCI-H6） is widely employed in high voltage equipment.To solve the problem of computational complexity of precise discrete modeling in LCI-H6

we proposed a novel method that simplified precise discrete modeling.Firstly

precise discrete modeling of the inductance current and capacitance current double closed loop controller LC-filter-based inverter with H6-type（ICDLCI-H6） system was established based on the stroboscopic method.Secondly

precise discrete modeling was simplified by the simplified method.Meanwhile

the two collision border lines of the inductance current i were studied.Thirdly

the dynamical evolution process for changing the proportional coefficient kp was analyzed.At last

the Simulink simulation and the experimental results verified the correctness of simplified discrete modeling and dynamic behavior.Results show that the ICDLCI-H6 system varies from the period-1 state to the period-2 state through the period-doubling bifurcation

and then

enters chaos from the period-2 state through the border-collision bifurcation.The new simplified method effectively simplifies the operation process of discrete iteration

increases the operation speed

and decreases the computer memory usage of numerical simulation.The stability domain obtained from the study can be used to choose control parameters for ICDLCI–H6 system.