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.
Trang 1July 5, 2013 Prepared by: Mohamed El Chehaly
Trang 2• Basic Dynamic Simulation
Trang 3BASIC DYNAMIC SIMULATION eBook for You
Trang 41 Construction of a set of differential
equations describing the behavior of the
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
physical system at some instant
3 Integration of the differential equations
initial conditions
Trang 5eBook for You
Trang 6eBook for You
Trang 7vector form
x
y x
x y
x
G dt
dv m
2 2
y
y x
y y
x
G dt
dv m
2 2
(1.1)
x
dy
v dt
dx
y
v dt
dy
Trang 8 If known at instant t, it can be calculated
using at time t + ∆t:
d dy
t dt
dx x
dv
t dt
dy y
y
ld
old new
(1.2)
dv
t dt
dv v
v
y old
new
x old
x
new
t dt
v
v new y old y y
Trang 9eBook for You
Trang 10eBook for You
Trang 11eBook for You
Trang 12eBook for You
Trang 1310 x 134
x
7
/ 6850
/ 3710
10 x 222
6
s m v
s m v
m y
11
/
10 x 67 6
/ 6850
kg m
N G
s m
Trang 14SIMULATION MODEL LIBRARY eBook for You
Trang 15eBook for You
Trang 16 Contains logic for:
Data input
Data output
Numerical integration
Electric network solution
Differential equations of specific equipment
Trang 17 Contains the differential equation
intelligence on the equipment to be
simulated
needs numerical values of time derivatives
Trang 18 Most models are called directly by PSS®E
and CONET (such as switched shunt
models)
Trang 19NUMERICAL INTEGRATION
Trang 20 Achieved only if the time increment ∆t is
sufficiently small in relation to the time
constants and natural frequencies of the
process being simulated
numerical instability
Trang 21 Simple differential equation
q 0 /
Trang 22 First-order integration formula
q
old
old new
q
old old
q new old 1
Trang 23V V
5 2
T
mF C
k R
10 4
5 2
q
s RC
T
06 0
10
Trang 24eBook for You
Trang 25 Second-order Euler numerical integration
algorithm
to 1/4 of the shortest time constant
To avoid instability problems
To obtain adequate accuracy
Trang 26QUESTIONS?
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