From: An improved whale optimization algorithm for the model order reduction of large-scale systems
#Method# | Reduced second-order system | ISE |
---|---|---|
IWOA | \(R_{2} (s) = \frac{0.6318s + 7.112}{{0.6419s^{2} + 16.58s + 45.35}}\) | 2.7330e−10 |
WOA | \(R_{2} (s) = \frac{1.972s + 28.25}{{0.3372s^{2} + 60s + 180}}\) | 3.1355e−9 |
DE[29] | \(R_{2} (s) = \frac{1.977s + 31.02}{{0.291s^{2} + 65s + 197.7}}\) | 5.7048e−09 |
PSO [28] | \(R_{2} (s) = \frac{1.506s + 31.39}{{0.477s^{2} + 65.24s + 200}}\) | 6.2590e−09 |
EDE [36] | \(R_{2} (s) = \frac{0s + 1568.5185}{{s^{2} + 6090.422363s + 200}}\) | 3.92e−04 |
EDE & Improved MMPA method [37] | \(R_{2} (s) = \frac{0.400757s + 200.396591}{{s^{2} + 780.5269s + 1276.7544}}\) | 4.016e−04 |
PSO-DV[38] | \(R_{2} (s) = \frac{5.00995s + 129.01962}{{s^{2} + 523.004761s + 822.001831}}\) | 4.1e−04 |
Sambapriya et.al [40] | \(R_{2} (s) = \frac{0.8664s + 7.328}{{s^{2} + 18.32s + 46.83}}\) | 3.32e−04 |
Pole cluster & Pade Approximation[ 22] | \(R_{2} (s) = \frac{ - 18.77s + 119.7}{{s^{2} + 90s + 762.6}}\) | 5.7586e−7 |
Srinivasan & Krishnan [42] | \(R_{2} (s) = \frac{1.603s + 27.57}{{s^{2} + 58.412s + 175.96}}\) | 3.7411e−6 |
C.B. Vishwakarma [41] | \(R_{2} (s) = \frac{1.648s + 29.92}{{s^{2} + 62.59s + 190.64}}\) | 9.7279e−9 |
Girish Parmar [43] | \(R_{2} (s) = \frac{3.326s + 48.3}{{s^{2} + 105.95s + 308.159}}\) | 2.4507e−6 |
Y Shamash [44] | \(R_{2} (s) = \frac{0.5178s + 1.633}{{s^{2} + 6.159s + 10.41}}\) | 2.2015e−07 |
Jayantha pal [6] | \(R_{2} (s) = \frac{9.751e13s + 5.211e14}{{2.28e14s^{2} + 1.53e15s + 3.32e15}}\) | 2.3303e−07 |
VV Seshadri [4] | \(R_{2} (s) = \frac{0.5178s + 1.633}{{s^{2} + 6.159s + 10.41}}\) | 2.2015e−07 |