Abstract
This paper presents a new optimal design for the stability and control of the synchronous machine connected to an infinite bus. The model of the synchronous machine is 4th order linear Philips-Heffron synchronous machine. In this study, a PID controller is utilized for stability and its parameters have been achieved optimally by minimizing a fitness function to removes the unstable Eigen-values to the left-hand side of the imaginary axis. The considered parameters of the PID controller are optimized based on a new nature-inspired, called moth search algorithm. The proposed system is then compared with the particle swarm optimization as a high-performance and popular algorithm for different operating points. Final results show that using a moth search algorithm gives better efficiency toward the compared particle swarm optimization.
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System data:
Machine (pu):
xd = 1.6, xd′ = 0.32, xq = 1.55.
vt0 = 1.05, w0 = 314(rad/s), Td0′ = 6.0 (s).
D = 0; M = 10.
P, Q = Electrical active and reactive power of output machine (pu).
Transmission Line (Pu):
re = 0; xe = 0.4
Exciter:
Ke = 50; Te = 0.05 (s).
Washout Filter:
Tw = 5 (s).
The function of k-parameters and other data are presented below:
iq0 = (P * vt0)/sqrt((P * xq) 2 + (vt02 + Q * xq) 2);
vd0 = iq0 * xq;
vq0 = ((vt02) − (vd02)) 0.5;
id0 = (Q + xq*(iq02))/vq0;
Eq0 = vq0 + id0*xq;
E0 = sqrt((vd0 + iq0 * xe)2 + (vq0-id0 * xe)2);
delta = tan−1((vd0 + iq0*xe)/(vq0 − id0*xe));
K1 = (((xq − xd′)/(xe + xd′))*(iq0 * E0 * sin(delta))) + ((Eq0 * E0 * cos(delta))/(xe + xq));
K2 = (E0 * sin(delta))/(xe + xd);
K3 = (xe + xd’)/(xe + xd);
K4 = ((xd − xd′)/(xe + xd′)) * (E0 * sin(delta));
K5 = ((xq * vd0 * E0 * cos(delta))/((xe + xq) * vt0)) − ((xd′ * vd0 * E0 * sin(delta))/((xe + xd′) * vt0));
K6 = (xe * vq0)/((xe + xd′) * vt0);
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Razmjooy, N., Razmjooy, S., Vahedi, Z., Estrela, V.V., de Oliveira, G.G. (2021). A New Design for Robust Control of Power System Stabilizer Based on Moth Search Algorithm. In: Razmjooy, N., Ashourian, M., Foroozandeh, Z. (eds) Metaheuristics and Optimization in Computer and Electrical Engineering. Lecture Notes in Electrical Engineering, vol 696. Springer, Cham. https://doi.org/10.1007/978-3-030-56689-0_10
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DOI: https://doi.org/10.1007/978-3-030-56689-0_10
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