As a postgraduate course, advanced power system analysis is very complicated to learn, and the process of various mathematical models is also extremely complicated. The investigation is mainly conceptual, but it is very easy to choose multiple topics and investigate the steps of a certain method. Therefore, mastering the basic concepts is the foundation when reviewing, and you should also know the process of some methods. It is not required to remember the formula, but you should know the general process. So this course also introduces the process in detail. ?

1, mathematical model of power system power flow calculation, Newton method power flow calculation, P-Q decomposition method power flow calculation?

Mathematically speaking, power flow calculation needs to solve a set of nonlinear algebraic equations described by power flow equations. Mathematical model of power flow calculation; Newton-Raphson Power Flow Calculation Method Based on Gauss Iteration Method. ?

Research significance: one of the methods to determine the steady-state operation state of power system. It is the basis of power system operation, planning, safety and reliability analysis and optimization, and also the basis and starting point of various electromagnetic transient and electromechanical transient analysis. ?

Basic requirements of power flow calculation method:

(1) should have reliable convergence and can converge to different systems and different operating conditions;

(2) Less memory and fast calculation; ?

(3) It is easy to adjust and modify, and can meet various requirements put forward in engineering.

Development status:?

(1) Gaussian iteration method (admittance matrix) has poor convergence;

(2) Newton-Raphson (impedance matrix), with good convergence and large memory occupation; ?

(3) Newton-Raphson +Tinney sparse matrix technology and node optimization numbering technology.

(4) fast decomposition method, fast online.