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Backbone curves for the first and second vibration modes are solved numerically by the Gauss Legendre integration method and the shooting method respectively.
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The difference in the optimum refrigerant charge between the two operating modes was solved by installing a liquid receiver.
The analytical solutions of wave fields are expressed by employing the wave function expansion method and the expanded mode coefficients are solved by satisfying the boundary condition of the cutout.
Traditionally, the technique of the singular value decomposition (SVD) is employed to obtain the corresponding contours of acoustical modes after the eigenvalues are solved.
The first 5 order inherent frequencies and vibration modes of the hub and tower are solved to verify the design rationality.
The resultant equations of motion are solved iteratively using the linearized updated mode method.
The PSSs parameters tuning problem is converted to an optimization problem with the eigenvalue-based multi-objective function comprising the damping factor, and the damping ratio of the lightly damped electromechanical modes, which is solved by a PSO algorithm which has a strong ability to find the most optimistic results.
The problem of robustly UPFC based damping controller is formulated as an optimization problem according to the eigenvalue-based multiobjective function comprising the damping factor, and the damping ratio of the undamped electromechanical modes to be solved using particle swarm optimization technique (PSO) that has a strong ability to find the most optimistic results.
Firstly, the linear fuzzy model transformed into its crisp mode should be solved regarding each different value of α-cuts independently.
Concurrently, the smoothness issue induced by the sequential mode transitions is solved with a coordinated control logic for engine, EM and clutch.
For this mode, the model was solved using the first solution procedure described in "Methodology".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com