Design of a Novel Differential Evolution Algorithm and its Applications to Power Systems
Date Issued
2007
Date
2007
Author(s)
Wang, Sheng-Kuan
DOI
zh-TW
Abstract
This thesis presents a novel probabilistic heuristic optimization approach which is mixed integral and real decision variables applied to determining the feasible optimal solution of the economic dispatch (ED) problem while considering various generator constraints and the tuning of power system stabilizer (PSS) parameters for a multi-machine power system. The proposed optimization algorithm is called mixed-integer ant direction hybrid differential evolution, or MIADHDE. This algorithm is proposed to solve these two kinds of problems. MIADHDE utilizes the concept of an ant colony search to find a suitable mutation strategy of the five types of the strategies in the original hybrid differential evolution (HDE) to accelerate the search for a set of the global optimum solution, which is able to include integral and real decision variables.
In the economic dispatch problem of a power system, many practical constraints of the generators, such as ramp rate limits, prohibited operating zones, the valve point effect, and spinning reserve, must be considered. Those constraints make the ED problem of the power system as a non-smooth/non-convex minimization problem with constraints. Three test power systems, including six-, fifteen-, and forty-unit power systems, are applied to compare the performance of the proposed algorithm with those of genetic algorithms (GAs), the simulated annealing (SA) algorithm, the differential evolution (DE) algorithm, and the hybrid differential evolution (HDE) algorithm. Numerical results indicate that the performance of the proposed MIADHDE algorithm outperforms the other four algorithms in terms of computed minimum fuel cost and computational complexity.
As mentioned above, the performance of MIADHDE exceeds the four algorithms of GA, SA, DE and HDE in the ED problem. Therefore, we only employ the MIADHDE algorithm to solve the problem of tuning PSS parameters. This problem of PSS parameter tuning which is usually formulated as an objective function with constraints consisting of the damping factor and damping ratio. In this thesis, three different objective functions are proposed through combination of the damping factor and damping ratio. The first objective function proposed, which is similar to the literature, is used to compare the performance with the other two objective functions. The second objective function is to consider only local machine speed deviation as the input signal to the PSS. In he third objective function, both local and remote feedback signals of machine speed deviation measurements are selected as input signals to the PSS controllers. The 10-unit 39-bus New England standard power system, under various system configurations and loading conditions, is employed to test the performance of three objective functions for tuning of PSS parameters by the MIADHDE method. Eigenvalue analysis of frequency domain on the Matlab platform and nonlinear simulation results of time domain on the Siemens PTI PSS/E platformdemonstrate that the third objective function, searching for PSS parameters by MIADHDE algorithm, is superior to other the two objective functions.
In addition, the power system stabilizer model, including a remote feedback signal of speed deviation in the time domain simulation, must be created by the user written model method in the PSS/E software. In this thesis, the construction of the user-written model for the plant-related model in the PSS/E has been described. It consists of eight modes. The principles of each mode will also explained in detail this thesis. An exciter model at the New-Tien-Lun plant in the Taiwan Power System will be used as an example to show the coding method and results of execution of the user written model in PSS/E, the exciter model of which is called MITLOT. It was added to the Taiwan Power System is to perform system simulations and programming tasks by Taiwan Power Company and it in use up to the present.
Subjects
差分進化演算法
經濟調度
閥點效應
動態穩定度
電力系統穩定器
使用者自建模型
differential evolution
economic dispatch
valve point effect
dynamic stability
power system stabilizer
user-written model
Type
thesis
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