Dynamic Performance Improvement of a Single-Phase VSI with Digital Implementation of an On-Line Optimal Trajectory Control Algorithm

Table 1

The theoretical value and simplified calculation results for different step changes.

Operation conditions: Vin = 200 V, M = 0.78, Lf = 1.2 mH, Cf = 20 µF, and Io1 = 5 A
Radians	20% step-upchange	40% step-upchange	60% step-upchange	80% step-upchange	100% step-upchange
Positive step change at θ0 = π/3 (theoretical value)
θ1t	1.0522	1.0572	1.0622	1.0670	1.0724
θ2t	1.0568	1.0664	1.0762	1.0856	1.0958
θ3t	1.0577	1.0682	1.0789	1.0892	1.1004
Positive step change θ0 = π/3 (simplified analytical solution)
θ1s	1.0521	1.0570	1.0619	1.0668	1.0717
θ2s	1.0566	1.0659	1.0753	1.0847	1.0941
θ3s	1.0575	1.0677	1.0780	1.0883	1.0985
Positive step change at θ0 = 2π/3 (theoretical value)
θ1t	2.0992	2.1040	2.1088	2.1137	2.1182
θ2t	2.1036	2.1127	2.1217	2.1310	2.1395
θ3t	2.1044	2.1144	2.1243	2.1346	2.1439
Positive step change at θ0 = 2π/3 (simplified analytical solution)
θ1s	2.0993	2.1042	2.1091	2.1140	2.1189
θ2s	2.1038	2.1131	2.1225	2.1319	2.1413
θ3s	2.1047	2.1149	2.1252	2.1355	2.1457