Optimum design of tuned mass damper via PSO algorithm for the passive control of forced oscillations in power transmissi
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Optimum design of tuned mass damper via PSO algorithm for the passive control of forced oscillations in power transmission lines Mohammad Hossein Abbasi1 · Hamed Moradi1 Received: 8 November 2019 / Accepted: 2 April 2020 © Springer Nature Switzerland AG 2020
Abstract Transmission lines are prone to external excitations due to their low density and internal damping coefficient. They are vulnerable to some natural events such as wind and rain which may disrupt power transmission. Forced vibration due to external disturbances is one of the most frequent causes of failures in these lines. In this study, effects of tuned-massdampers (TMDs) on reduction of forced vibrations are investigated. A mathematical model for the transmission line is proposed by using mode summation technique combined with the dynamics of the absorbers. Best values for the location, stiffness and mass of the absorbers are found by using Particle Swarm Optimization algorithm (damping coefficients are obtained as zero). The objective of the algorithm is to minimize the line deflection to postpone the failure and the replacement of the lines. Results show that the designed TMDs are efficient in reduction of forced vibrations. Finally, the same procedure is implemented under resonance condition. The designed TMDs lead to a high reduction factor in the line deflection. Similarly, the proposed optimization algorithm can be used in other industrial applications of the flexible cables; under various external excitations. Keywords Transmission lines · Forced vibrations · Linear and nonlinear models · PSO algorithm · Tuned mass damper · Optimum design
1 Introduction Extra-high voltage transmission lines, cable-suspended bridges and mooring cables are examples of extensivelyused suspended cables. Transmission lines are vulnerable to wind-induced oscillations, which may lead to large amplitude oscillations and consequently frequent cause some detrimental influences such as connection failure, fatigue and corrosion of cables and reduction of the lifespan and increase in maintenance costs. Thus, finding a way to suppress cable vibrations is necessary. One way to do so is via passive control methods, which is the main focus of this study.
One source for the external disturbances is wind force [1]. The challenge in studying the behavior of such force is the scarcity of data regarding the wind speed, its frequency and amplitude ranges [2]. Although horizontal or rotational motion induced by the wind is also possible, only cable motion in vertical plane is studied due to its higher importance [1, 2]. As an example, the excitation frequency ranges between 0.1 and 1 Hz and the oscillation amplitudes may exceed 10 m [1]. These high amplitude vibrations may cause flashover [3, 4]. Moreover, these may lead to high loading stresses on insulators and electricity pylons, raising the risk of mechanical/electrical failures and interruption of the power supply.
* Hamed Moradi, [email protected]; [email protected] | 1Department of Mechanical Engineering, Centre
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