Quantization Effects on Period Doubling Route to Chaos in a ZAD-Controlled Buck Converter

Table 5

Examples of coexisting periodic orbits for 12-bit ADC resolution and 𝐾_𝑠=6.5. 𝐼_𝐿0=1.5.

Case	𝑉𝐶0[𝑉]	Orb.	Duty cycle characteristics
1	30.04	3 per.	𝑑1,2=79.92% and 𝑑3=80.02%
2	30.22	6 per.	𝑑1,3=79.81%, 𝑑5=79.92%, 𝑑4,6=80.02% and 𝑑2=80.13%
3	33.79	6 per.	𝑑1=79.76%, 𝑑3,5=79.86%, 𝑑4=80.07% and 𝑑2,6=80.18%
4	33.34	6 per.	𝑑1=79.86%, 𝑑3,4,5=79.97% and 𝑑2,6=80.07%
5	32.14	11 per.	𝑑1=79.68%, 𝑑3,10=79.79%, 𝑑5,8=79.89%
			𝑑6,7=80%, 𝑑4,9=80.1% and 𝑑2,11=80.21%
6	32	18 per.	𝑑1=79.57%, 𝑑3,17=79.68%, 𝑑5,15=79.79%, 𝑑7,10,13=79.89%
			𝑑8,9,11,12=80%, 𝑑6,14=80.1%, 𝑑4,16=80.21% and 𝑑2,18=80.31%
7	30.63	22 per.	𝑑1,3,7,9=79.81%, 𝑑5,11,12,14,15,17,18,20,21=79.92%
			𝑑4,6,10,13,16,19,22=80.02% and 𝑑2,8=80.13%
8	31.99	22 per.	𝑑1=79.57%, 𝑑3,21=79.68%, 𝑑5,12,19=79.79%, 𝑑7,10,14,17=79.89%
			𝑑8,9,15,16=80%, 𝑑6,11,13,18=80.1%, 𝑑4,20=80.21% and 𝑑2,22=80.31%
9	32.02	22 per.	𝑑1=79.47%, 𝑑3,21=79.57%, 𝑑5,19=79.68%, 𝑑7,17=79.79%,
			𝑑9,12,15=79.89%, 𝑑10,11,13,14=80%, 𝑑8,16=80.1%,
			𝑑6,18=80.21%, 𝑑4,20=80.31% and, 𝑑2,22=80.42%
10	30.02	34 per.	𝑑1,3,7,9,13,15=79.81%, 𝑑5,11,17,18,20,21,23,24,26,27,29,30,32,33=79.92%
			𝑑4,6,10,12,16,19,22,25,28,31,34=80.02%, 𝑑2,8,14=80.13%