Newton–Raphson power flow with constant matrices: A comparison with decoupled power flow methods

Moura, A. P. de; Moura, Adriano Aron Freitas de

doi:10.1016/j.ijepes.2012.10.038

Cited by 14 publications

(2 citation statements)

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“…Although the authors show that advantages can be expected from this approach, the numerical tests shown in the paper concern only small size networks. In [9], the coupling Pδ-QV is exploited in the conventional Newton-Raphson power flow together with the use of constant matrices in the iterative scheme. The numerical results obtained through this approach exhibit better performance (in terms of number of iterations) than the conventional decoupled methods (XB and BX).…”

Section: Introductionmentioning

confidence: 99%

Modified tensor method to power flow analysis

Santos

Kobay

Rosa

et al. 2019

IET Generation, Transmission & Distribution

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Section: Introductionmentioning

confidence: 99%

Modified tensor method to power flow analysis

Santos

Kobay

Rosa

et al. 2019

IET Generation, Transmission & Distribution

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“…The power flow program in an AC power system can be modeled by a set of nonlinear equations and solved by numerical iterative methods. The well‐known solution approaches are the Gauss–Seidel , Newton–Raphson , fast decoupled methods , and new, efficient iterative techniques . However, in practical large‐scale power systems consisting of thousands of buses, the standard Newton–Raphson method has a slow execution time, because of the need for recalculation of a large Jacobian matrix in each iteration.…”

Section: Introductionmentioning

confidence: 99%

Real‐time calculation of power system bus voltage using a hybrid approach combining the Newton–Raphson method and dynamic programming

Huang

Yao

2015

IEEJ Transactions Elec Engng

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The calculation of the magnitudes and phase angles of the bus voltage is a challenging task in real-time applications for power systems. Voltage profile, which denotes the present conditions of a power system, is determined by executing the traditional AC power flow program or by searching the supervisory control and data acquisition system. The AC power flow program is not suitable for several real-time applications, such as contingency analysis and security control calculations, because of its complexity and convergence problems. Fast computation is the major concern in such applications. In this paper, a new method based on sensitivity factors, referred to as Jacobian-based distribution factors (JBDFs), is proposed for calculating the magnitudes and phase angles of bus voltages. This method requires setting up JBDFs and deriving optimal solution paths of bus voltage for non-swing buses through dynamic programming under base-case loading conditions. Under real-time conditions, the proposed method initially calculates real and reactive power line flows via JBDFs, and then computes the voltage magnitudes and phase angles of non-swing buses through the derived optimal solution paths. The excellence of the proposed hybrid calculation method is verified by IEEE test systems. Simulation results demonstrate that the proposed method exhibits fast computation and high accuracy. Thus, the method is suitable for real-time applications.flow, security control [14], and line flow computation after a fault occurs.In [15], a Jacobian-based distribution factor (JBDF) is proposed for overcoming the shortcomings of GSDF, GGDF, and ZBD. The correlative partial differential terms of JBDF are derived according to base-case power flow solutions and the inverse Jacobian matrix. Then, the active and reactive power JBDF terms are established [15]. This approach reflects changes in the complex injection power. Changes in load conditions from base-case loads, with either conforming or nonconforming changes in complex power in each bus, can be used to compute active and reactive power flows without iterations, rapidly. The use of JBDF for solving line flow after a change in load demand is fine except for solving the magnitude and phase angle of bus voltage. In this paper, both line flow and the bus voltage can be solved by the proposed hybrid approach based on sensitivity factors. Consequently, the Newton-Raphson method is employed as the base-case solution framework. The essential difference is that the proposed approach computes solutions of the bus voltage equations via JBDF bus voltage formulas instead of iterative nonlinear equations. Figure 1 shows the schematic diagram of the proposed approach and its real-time applications for modern power systems. This approach can simplify the solution procedure. With this simplification, a reduction in the overall execution time is expected. Thus, the proposed approach, which combines the Newton-Raphson method and dynamic programming, is a fast and effective soft calculation method for real-time...

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