Table 4 Optimization results for Circuit III.
From: Direct constraint control for EM-based miniaturization of microwave passives
Optimization approach | Performance parameters | ||||||
|---|---|---|---|---|---|---|---|
Design scenario I (F = [1.15 1.25] GHz) | Design scenario II (F = [1.18 1.22] GHz) | ||||||
Method | Setup | Footprint area A (mm2) | Violation of constraint γ1 (dB) | Violation of constraint γ2 (dB) | Footprint area A (mm2) | Violation of constraint γ1 (dB) | Violation of constraint γ2 (dB) |
Implicit constraint handling (penalty function approach) | Z`β1 = 101, β2 = 101 | 1067 | 0.17 | 0.7 | 1043 | 0.12 | − 0.7 |
β1 = 101, β2 = 102 | 681 | 0.01 | 10.4 | 679 | 0.00 | 9.4 | |
β1 = 101, β2 = 103 | 1063 | − 0.03 | 0.1 | 1063 | − 0.03 | − 1.0 | |
β1 = 101, β2 = 104 | 1097 | 0.02 | − 0.1 | 1097 | 0.02 | − 1.2 | |
β1 = 102, β2 = 101 | 1120 | 0.04 | 0.6 | 1120 | 0.04 | − 0.5 | |
β1 = 102, β2 = 102 | 1134 | 0.00 | − 0.3 | 1134 | 0.00 | − 1.7 | |
β1 = 102, β2 = 103 | 1133 | 0.00 | 0.1 | 1133 | 0.00 | − 1.2 | |
β1 = 102, β2 = 104 | 1038 | − 0.03 | 1.1 | 1038 | − 0.03 | 0.0 | |
β1 = 103, β2 = 101 | 1165 | − 0.05 | − 0.3 | 1165 | − 0.05 | − 1.7 | |
β1 = 103, β2 = 102 | 1119 | 0.01 | − 0.1 | 1119 | 0.01 | − 1.3 | |
β1 = 103, β2 = 103 | 1152 | − 0.06 | − 0.3 | 1152 | − 0.06 | − 1.6 | |
β1 = 103, β2 = 104 | 1117 | − 0.08 | − 0.1 | 1047 | − 0.08 | − 1.7 | |
β1 = 104, β2 = 101 | 1218 | 0.00 | − 0.0 | 1136 | − 0.02 | 0.2 | |
β1 = 104, β2 = 102 | 1208 | 0.00 | − 0.2 | 1132 | 0.01 | − 2.1 | |
β1 = 104, β2 = 103 | 1152 | 0.00 | − 0.5 | 1152 | 0.00 | − 1.7 | |
β1 = 104, β2 = 104 | 1152 | − 0.02 | − 0.1 | 1134 | 0.00 | − 2.2 | |
Explicit constraint handling (this work) | 1106 | − 0.04 | − 0.1 | 1045 | 0.01 | − 0.1 | |
