Abstract
At present, the electric power system is getting bigger and more complex, and its loading is also increasing. As a consequence, planning, operation, and control of the power system also become more complicated. It is known that system planning and operation are mostly based on the steady-state condition of the power system, and the system steady-state condition can only be determined from the load flow study. Thus, the development of a reliable and efficient method to solve the load flow problem is necessary so that the system steady-state condition can properly be evaluated. Since the characteristics of the electric distribution system are different from those of the transmission system, special treatments are usually required in the distribution system load flow (DSLF) analysis. In this context, several interesting techniques have been proposed in the analysis. In this paper, the application and extension of the trust-region method to solve the three-phase DSLF problem are proposed and investigated. Case studies using 19-node, 25-node, and 123-node distribution systems are also given in this paper. Results of the studies show that the output values obtained by the proposed method are in excellent agreement with those obtained by previously published methods. These results confirm the validity of the proposed method. Case study results also indicate that the proposed method has better computational performances than the forward/backward sweeping (FBS) method.
Highlights
Load flow analysis is basically a solution for the normal operating conditions of a power system. e results of load flow analysis are normally used for system planning, basis data in the operational stage, and electric power system operation and control
It can be seen that the output of the proposed method is in excellent agreement with those from other methods. ese results confirm the validity of the proposed method for solving the three-phase distribution system load flow (DSLF) problem
SpecialB treatments that are usually required in the distribution system load flow (DSLF) analysis are not needed in the proposed method
Summary
Load flow (or power flow) analysis is basically a solution for the normal operating conditions of a power system. e results of load flow analysis are normally used for system planning, basis data in the operational stage, and electric power system operation and control. In contrast to the Gauss-Seidel algorithm, the Newton–Raphson-based methods require only a small number of iterations to obtain the solution. The application of the Newton–Raphson-based methods to electric power distribution systems can cause some convergence problems. Us, in addition to being reliable, the load flow solution method of an unbalanced electric power distribution system needs to be efficient. In finding a solution to the load flow problem, the forward/backward sweeping technique does not use the Newton–Raphson iterative scheme. In the method investigated and proposed in this paper, the load flow problem is solved using the trust-region method. Erefore, in this paper, the application and extension of the trust-region method proposed in [30] to three-phase load flow analysis are investigated.
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