Rectangular coordinate Newton load flow calculation method

Abstract

The invention discloses a rectangular coordinate Newton load flow calculation method; from the basic principle of rectangular coordinate Newton load flow calculation, the invention provides a composition method of Jacobimatrix calculated by rectangular coordinate Newton load flow calculation to improve the convergence of load flow calculation on the basis of analyzing the characteristics of basic modified equation. The method comprises the following steps: inputting original data and initializing voltage; forming nodal admittance matrix; forming Jacobimatrix J; solving the equation and correcting the real part e and the imaginary part f of voltage; and outputting nodal and subcircuit data. The invention corrects partial diagonal element calculation formula of Jacobimatrix J, solving the problem of convergency of rectangular coordinate Newton load flow calculation method when analyzing a subcircuit system containing low impedance; the iterations, possession of the amount of internal memory and arithmetic speed in the invention are all equivalent to conventional rectangular coordinate Newton load flow calculation method when treating system with no low impedance, so the calculated amount is not increased, but is slightly reduced on the contrary.

Description

technical field [0001] The invention relates to a power flow calculation method of a power system, in particular to a rectangular coordinate Newton method power flow calculation method. Background technique [0002] Power system power flow calculation is a basic calculation for studying the steady-state operation of the power system. It determines the operating state of the entire network according to the given operating conditions and network structure. Power flow calculation is also the basis of other power system analysis, such as safety analysis, transient stability analysis and so on. Because this method has the advantages of reliable convergence, fast calculation speed and moderate memory requirements, Newton's method has become the mainstream algorithm for power flow calculation. The Newton method is divided into two algorithms: the polar coordinate form and the rectangular coordinate form. Among them, the flow calculation of the rectangular coordinate Newton method ...

AI Technical Summary

Problems solved by technology

[0062] After correcting the real part of the voltage, we get e i ( 1 ) ≈ e j ( 1 ) ≈ 1 2 , Formula (1) is also not satisfied, and the real part of the voltage is far from 1.0, so it cannot converge

[0063] It can be seen that the Cartesian Newton method power flow calculation often does not converge when analyzing ill-conditioned power systems with small impedance branches, and small impedance branches are common in power systems, and its convergence is the key to nonlinear problems such as power flow calculations in power systems. The most important indicator, if the calculation does not converge, the solution to the problem cannot be obtained

Images