Download Materials for current monitoring of the course

Materials for current monitoring of the course
"Power Engineering Systems Simulation and Research"
Module 1. Principles of simulation
1. Voltage of power grid and its application
2. Neutral point connections of power grid
3. Impact of short-circuit current on power supply system components
4. Initial short-circuit current and its detection
5. Physical meaning and calculation of periodic and aperiodic component of
short- circuit current
6. Selection of short-circuit current protection devices to protect power grid
7. Characteristics of three-phase and single-phase short-circuit current dependent
on neutral point connection of power grid
8. Definition of an ordinary differential equation
9. What problems could be solved by means of algebraic and differential
equations in mathematical models
10. Necessity for simulation methods application when analyzing power supply
systems
11. The main difference between physical and mathematical simulation
12. Common sense of mathematical simulation when designing power supply
systems
13. Classification of simulation types
14. Classification of mathematical simulation
15. The main types of simulation
Module 2. Simulation of components and operation of industrial electric
power supply
16. The main characteristics of mathematical models in power supply
17. Application of analysis and numerical computation to solve differential
equation
18. The main advantages and disadvantages of numerical computation to solve
differential equations
19. Basic requirements for mathematical models
20. Equations of the simplest mathematical models of electrical components
21. Characteristics of various modes of power supply system simulation
22. The main advantages of mathematical simulation
23. Model existence conditions
24. Forced component of a differential equation and its origin
25. Transient component of a differential equation and its origin
26. Simulation
27. Solution of a differential equation
28. The main purpose of power supply system mathematical simulation
29. Mathematical model of power source for power supply systems and
characteristics of their simulation
30. Simulation of power grid components when calculating the operating modes of
power supply systems
31. The main methods of electrical loads simulation, their advantages and
disadvantages
Module 3. Optimization problems of electric power supply
32. Graphical solution of linear programming problem
33. Simplex method for solving linear programming problem
34. Optimization problems referred to linear programming problems
35. Mathematical model of optimization problem
36. Criterion of optimality
37. Classification of optimization mathematical models by the type of input
information
38. Methods for solving optimization problems
39. Transportation problem and its particular reference to problems of power
supply
40. Characteristics of transportation problem in view of transmission line
capability
41. Characteristics of transportation problem in view of transit facilities
42. Methods for solving optimization problems with random and uncertain input
information
Module 4. Correlation and Regression data analysis
43. Scope of correlation and regression analysis
44. Least square method
45. Concept of functional and statistical relation between phenomena, their
formalization
46. Necessary conditions for correlation and regression analysis
47. The main tasks of correlation and regression analysis
48. Concept of regression, types and forms of regression
49. Linear coefficient of pair correlation (how to define, variation limits, what
characterizes)
50. Why and how test significance of correlation coefficient
51. Coefficient of determination (how to define, variation limits, what
characterizes)
52. What parameters evaluate quality of regression model
53. Why to conduct dispersion analysis to construct regression model
54. T-test and Fisher (purpose, definition, application)
55. Significance test of regression equation
56. Significance test of regression coefficients
57. Concept of point and interval predictions
Tasks for intermediate monitoring of the course
"Power Engineering Systems Simulation and Research"
Task 1
By means of Euler method find the value of circuital current after switch
closure within the time interval from 0 to 1 second, taking  t = 0.2 sec. Determine
an analytic expression for the circuital current after switching, find the general and
particular solution of a differential equation.
Task 2
For the following circuit diagram of power supply draw a equivalent circuit
and determine short-circuit current at the points P1 and P2 in view of feed to the
fault from electric motor.
TMN –6300/110
System
~
AS - 70
TS-1
AS - 50
L = 0,64 km
L =1,77 km
Uн = 110 kW
P2
P1
AS - 95
AVBeShv-(3х25)
L = 0,84 km
L = 0,02 km
Uн = 6 kW
TS-2
AVBeShv-(3х35)
L = 0,02 km
DE-4
AD
AK4-4-400, Uн=6 kW
Task 3
For the following diagram draw equivalent circuit of the loop "phaseneutral" and choose pickup setting of magnetic-only circuit breaker CB 4.
АВ1
Inom=1000 А
TS-1
ТА1
ТМZ-630/6
АВ2
Inom=630 А
ТShP-1000/5
ТА2
ТShP-600/5
AVBeShv2(3х185+1х65)
L = 225 m
ShSU-2 VBeShv-(3х70+1х35)
L = 140 m
АВ3
АВ4
Inom=400 А Inom=100 А
AD
Рnom=37 kV
Task 4
To the steel plant as raw material is supplied brass (alloy of copper and zinc)
of four types containing 10, 20, 25 and 40% of zinc that costs 10, 30, 40 and 60
rub. per 1 kg, respectively. In what proportions raw material should be melted to
get the alloy (brass) containing 30% of zinc, and thus the cheapest?
Task 5
Sc=600 МВА
Хс=0,8

115 kV
4000 kVА
Usc=17.5 %
35 kV
L-1 АС-70
L=4 sm
Хl
rl
P-3
Хт
MSS
SC
Sн=1600 kVA
Usc=8%
P-1
Хl
rl
DE-1
CL1
ASB-3*240
P-2
CL2
ASB-3*150
TS-3
Draw equivalent crcuit and determine
short-circuit current at the points P-1
and P-2.
Task 6
As a result of the calculation dependence of reduced annual costs Ci on
cable section Si is obtained:
Si mm2
10
16
25
35
50
70
95
120
150
185
Зi ths.rub/year
360
340
320
290
280
270
300
340
400
470
Required:
 to approximate and interpolate table function by known methods (method of
least squares);
 to find an extremum (extrema) of obtained function and compare methods;
 to compare values of obtained functions at the midpoints of intervals (4, 5
points);
 to compare accuracy of methods (approximation and interpolation of 4.5 points)
and draw conclusion.
Task 7
Determine similarity criteria of electric circuit with mutual inductance M12,
which consists of two fixed relative to each other circuits formed by connected in
series elements with the active resistance R and inductance L, and the second
circuit is short-circuited, and the first is under constant voltage u1.
Task 8
Calculate supply and distribution mains of the shop in accordance with the
condition of inconsequential voltage loss and draw diagrams of voltage deviation
for lines from the busbar of main step-down substation to the terminals of one of
the most powerful electric load for the modes of maximum and minimum loads.
1
2
ST2
3
АСБ -2(3120)
4
ASB –8(1120)
5
ASG- 4(1  150) APV-3(1  35)
6
MSS
10 kV
Zone designation
Type of cable or wire
section, mm2
length, m
Loads Р+jQ at
min
max
modes
DE 0,38кВ
DistrCentr1
CD5
Р=37kW
1-2
2-3
3-4
4-5
5-6
ASB
2(3120)
500
TMN-1600/10
ASB
8(1120)
20
ASG4(1150)
20
APV3(135)
50
2215,5+1500,0 2215,5+1500,0
2951,5+1996,9 2951,5+1996,9
640+350,2
817+564,3
150,2+110,6
176,9+135,3
26,5+19,9
26,5+19,9