Phần 4 KHÓA ĐÀO TẠO TÍNH TOÁN ỔN ĐỊNH VÀ ỨNG DỤNG TRÊN PHẦN MỀM PSSE CHO KỸ SƯ HỆ THỐNG ĐIỆN (Nguyên tắc mô phỏng Ổn định động và thư viện mô hình mô phỏng trên Phần mềm PSSE)

Nguyên tắc mô phỏng Ổn định động và thư viện mô hình mô phỏng trên Phần mềm PSSE bao gồm các nội dung sau:• Basic Dynamic Simulation. • Simulation Model Library. • Numerical Integration Stability.

TRANSMISSION & DISTRIBUTION A Division of Global Power POWER SYSTEM STABILITY CALCULATION TRAINING D2 DiSiltiPiilPt1 D ay 2 - D ynam i c Si mu l a ti on P r i nc i p l es P ar t 1 July 5, 2013Prepared by: Mohamed El Chehaly eBook for You OUTLINE 2 OUTLINE • Basic Dynamic Simulation • Simulation Model Library • Numerical Integration Stability eBook for You 3 BASIC DYNAMIC SIMULATION BASIC DYNAMIC SIMULATION eBook for You D y namic Simulation of a Ph y sical 4 BASIC DYNAMIC SIMULATION yy Process 1. Construction of a set of differential equations describing the behavior of the physical system physical system 2. Determination of a set of values of constant and variable parameters constant and variable parameters describing, in detail, the condition of the p h y sical s y stem at some instant py y 3. Integration of the differential equations with the values determined in Ste p 2 as p initial conditions eBook for You Rocket Example 5 BASIC DYNAMIC SIMULATION Rocket Example eBook for You Rocket Example 6 BASIC DYNAMIC SIMULATION Rocket Example eBook for You Rocket Example 7 BASIC DYNAMIC SIMULATION Rocket Example  Newton’s law of universal gravitation in vector form  4 differential equations: x yx x yx G dt dv m     22 22 y yx y yx G dt dv m     22 22 (1.1) x dy v dt dx  y v dt dy  eBook for You Rocket Example 8 BASIC DYNAMIC SIMULATION Rocket Example  Four variables: x, y, v x , v y x y  If known at instant t, it can be calculated using at time t + ∆t: d dy t dt d x xx oldnew  dv t dt dy yy ld oldnew    (1.2) dv t dt dv vv y old new x o ld x new x    t dt vv y old y new y    eBook for You Rocket Example 9 BASIC DYNAMIC SIMULATION Rocket Example eBook for You Rocket Example 10 BASIC DYNAMIC SIMULATION Rocket Example eBook for You [...]... impact of the time step  Inputs: V 0  15 V R  2 5 k  C  4 mF T  RC  10 s q 0  CV  0 06 C eBook for You  Python script 24 NUMERICAL INTEGRATION STABILITY eBook for You Discharge of a Capacitor 25 NUMERICAL INTEGRATION STABILITY  Second-order Euler numerical integration algorithm  Time step should be kept smaller than 1/5 to 1 /4 of the shortest time constant  To avoid instability problems... 13 BASIC DYNAMIC SIMULATION Rocket Example  Write a python script using the described sequence 7  Inputs: x  2 1 34 x 10 m y  6 222 x 10 7 m v x  3710 m / s v y  6850 m / s G  6 67 x 10 11 N m 2 / kg 2 eBook for You  Python script SIMULATION MODEL LIBRARY eBook for You 14 15 SIMULATION MODEL LIBRARY eBook for You Basic Program Structure 16 SIMULATION MODEL LIBRARY PSS®E Main Skeleton  . sequence  Inputs: 7 7 10 222 6 10x1 34. 2 mx  7 / 6850 /3710 10 x 222 . 6 s m v smv my x    2211 /.10x67.6 / 6850 kgmNG s m v y   eBook for You 14 SIMULATION MODEL LIBRARY SIMULATION . DYNAMIC SIMULATION Rocket Example  Newton’s law of universal gravitation in vector form  4 differential equations: x yx x yx G dt dv m     22 22 y yx y yx G dt dv m     22 22 (1.1) x dy v dt dx  y v dt dy  eBook. DYNAMIC SIMULATION BASIC DYNAMIC SIMULATION eBook for You D y namic Simulation of a Ph y sical 4 BASIC DYNAMIC SIMULATION yy Process 1. Construction of a set of differential equations describing