Table 7 Optimal gains for HAO-MGO, MGO and AO techniques for case-2.
Method | Control parameters | Optimal gains |
|---|---|---|
HAO-MGO-PID | \(\:{K}_{P1\_LFC}\) | 2.5211 |
\(\:{K}_{I1\_LFC}\) | 2.0122 | |
\(\:{K}_{D1\_LFC}\) | 1.5004 | |
\(\:{K}_{P2\_LFC}\) | 3.1221 | |
\(\:{K}_{I2\_LFC}\) | 2.0412 | |
\(\:{K}_{D2\_LFC}\) | 1.5101 | |
\(\:{K}_{P1\_AVR}\) | 2.0121 | |
\(\:{K}_{I1\_AVR}\) | 1.1021 | |
\(\:{K}_{D1}\) AVR | 0.5011 | |
\(\:{K}_{P2\_AVR}\) | 1.0003 | |
\(\:{K}_{I2}\) AVR | 1.1211 | |
\(\:{K}_{D2\_AVR}\) | 1.0101 | |
MGO-PID | \(\:{K}_{P1\_LFC}\) | 3.1105 |
\(\:{K}_{I1\_LFC}\) | 2.2660 | |
\(\:{K}_{D1\_LFC}\) | 3.4696 | |
\(\:{K}_{P2\_LFC}\) | 4.9676 | |
\(\:{K}_{I2\_LFC}\) | 2.6716 | |
\(\:{K}_{D2\_LFC}\) | 2.9542 | |
\(\:{K}_{P1}\) AVR | 2.9035 | |
\(\:{K}_{I1\_AVR}\) | 1.1277 | |
\(\:{K}_{D1\_AVR}\) | 0.8010 | |
\(\:{K}_{P2}AVR\) | 2.8698 | |
\(\:{K}_{I2}\) AVR | 3.0104 | |
\(\:{K}_{D2\_AVR}\) | 2.4276 | |
AO-PID | \(\:{K}_{P1\_LFC}\) | 3.5026 |
\(\:{K}_{I1\_LFC}\) | 2.7497 | |
\(\:{K}_{D1\_LFC}\) | 2.2074 | |
\(\:{K}_{P2\_LFC}\) | 4.0578 | |
\(\:{K}_{I2\_LFC}\) | 3.6587 | |
\(\:{K}_{D2\_LFC}\) | 3.0103 | |
\(\:{K}_{P1}\) _AV R | 2.0454 | |
\(\:{K}_{I1\_AVR}\) | 1.7424 | |
\(\:{K}_{D1}\) _AV R | 1.3719 | |
\(\:{K}_{P2\_AVR}\) | 2.8222 | |
\(\:{K}_{I2}{\:}^{AVR}\) | 2.0241 | |
\(\:{K}_{D2\_AVR}\) | 1.7585 |