Table 3 Optimization results for Circuit II.
From: Direct constraint control for EM-based miniaturization of microwave passives
Optimization approach | Performance parameters | ||||||
|---|---|---|---|---|---|---|---|
Design scenario I (F = [0.9 1.1] GHz) | Design scenario II (F = [0.95 1.05] 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) | β1 = 101, β2 = 101 | 124 | 0.01 | 16.8 | 114 | 0.00 | 16.6 |
β1 = 101, β2 = 102 | 104 | 0.02 | 17.0 | 90 | 0.00 | 17.6 | |
β1 = 101, β2 = 103 | 464 | 0.27 | 3.2 | 439 | 0.21 | 2.9 | |
β1 = 101, β2 = 104 | 508 | 0.17 | − 0.1 | 364 | − 0.09 | 0.2 | |
β1 = 102, β2 = 101 | 593 | 0.04 | − 3.4 | 593 | 0.04 | − 5.2 | |
β1 = 102, β2 = 102 | 593 | 0.04 | − 3.4 | 593 | 0.04 | − 5.2 | |
β1 = 102, β2 = 103 | 538 | 0.07 | − 1.9 | 593 | 0.04 | − 5.2 | |
β1 = 102, β2 = 104 | 593 | 0.04 | − 3.4 | 593 | 0.04 | − 5.2 | |
β1 = 103, β2 = 101 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 103, β2 = 102 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 103, β2 = 103 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 103, β2 = 104 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 104, β2 = 101 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 104, β2 = 102 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 104, β2 = 103 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
β1 = 104, β2 = 104 | 595 | 0.04 | − 3.4 | 595 | 0.04 | − 5.2 | |
Explicit constraint handling (this work) | 510 | 0.00 | 0.1 | 363 | − 0.03 | 0.4 | |
