Author: Gu Jian
I just finished with my Partner game, although we can't affirmed that we can get a prize, but we have any regrets, after all, we have experienced? I have learned two friends. I have learned some questions I didn't know. I learned the ability to analyze the problem. Nothing to say, I personally felt: "The experience is best! What is the result?"
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Copyright: National College Students Mathematical Modeling Competition Group
You can also download this question here!
Since we have set up B topics, only the B questions first, as for our "results", I will post it after a few days, as a one of my best memories!
2004 Higher Education Cup National College Students Mathematical Modeling Competition Title
(Please read "Unified Requirements to the Papers"))
B question power supply blocking management
my country's electricity system marketing reform is actively, steadily carried out steadily. In March 2003, the State Electricity Regulatory Commission was established. In June 2003, the Committee issued a document to form the timetable for the establishment of the Northeast regional electricity market and conducting the pilot market in East China, marking the highlights of the market. It can be expected that with the mitigation of my country's electricity tension, electricity marketization will enter a new round of development, which brings expectative opportunities and challenges to the industry and research departments.
Electricity from the four major links, power generation, transmission, power distribution and electricity of the production used to be used. The initial stage of my country's electricity market is the power generation side power market, take the model of transaction and scheduling integration. When organizing transactions, scheduling and delivery, the grid company must follow the principle of "safety first" of the grid. Market Trading - Scheduling Center develops a scheduling plan that meets the safe operation of the grid in accordance with the load forecast and transaction rules - the power distribution (power generation power) allocation scheme of each generator set; in the process of executing the dispatch plan, it needs to be hosted in real time to undertake AGC (automatic power generation Controls) The unit of the auxiliary service is forces to track the load of real-time changes in the grid.
Set a plurality of grids have several generators and several main lines, and the active trend (transmission power and direction) on each line depends on the grid structure and the effort of each generator set. The absolute value of the active trend on each line of the grid has a safety limit, and the limit has a certain relative safety margin (ie the upper limit of the percentage of the elevation in the emergency situation). If each unit cost distribution scheme enables an absolute value of the active trend on a certain line to exceed the limit, it is called a transmission barrier. When a transmission barrier occurs, it is necessary to study how to develop a security and economical scheduling plan.
l Power market trading rules:
1. Organize the transaction in a period of 15 minutes, each unit gives the next time period before the current period begins. The units will be available from low to 10-segment quote from low to high. The length of each segment is called a paragraph capacity, and each paragraph is reported (called the price), and the price is not minus the number of sequences. The quotation below the minimum technology is generally negative, indicating that the willingness to maintain power generation is willing to avoid a bigger loss.
2. In the current period, the market transaction-dispatch center is based on the load forecast of the next time period, the quotation of each unit, the current exertion, and the valence change rate, according to the low to the high segment capacity or part of the unit ( See the comments below) until they are equal to the load of the forecast, then the segment capacity of each unit is selected or part of the unit of the unit is formed (initial trading results). The last selected section price (highest) is called the liquidation price of this period, and all the processes of all units are settled in accordance with the clear price.
Note:
(A) The reference time of the load forecast and unit force distribution plan for each time period is at the end of this period. (B) The current output of the unit is a predicted value that actually has actually been in the end of the current period.
(C) It is assumed that it can increase or decrease in the unit time of each unit time, which is referred to as the climbing rate of the unit. Due to the constraint of the unit climbing rate, it may result in a part of the capacity of its segment.
(D) In order to make the various units plan to force and equal to the load requirements of the forecast, the segment capacity corresponding to the liquidation price may only select a portion.
Market Trading - The specific operation process to be completed during the current time period is as follows:
1. Monitor the implementation of the current period of each unit's effort assignment scheme, schedule AGC assist service, and give the current power value of each unit.
2, make a load demand forecast for the next time period.
3. According to the power market trading rules, the various units have been distributed and distributed.
4. Calculate the active trend on the main lines of the power grid when performing various units to distribute the plan, and determine whether the transmission block will occur. If there is no, accept the distribution of various units; otherwise, the blocking management is performed in accordance with the following principles:
l Transmission to block management principles:
(1) Adjusting the output distribution scheme of each unit causes the transmission resistance to eliminate.
(2) If (1) can not be done, you can also use the safety margin transmission to avoid the pull limit (forced to reduce load requirements), but to make the absolute value of each line exceed the limit of the limit Try to be small as small as possible.
(3) If you can't make the percentage of the trend absolute value of each line in each line less than the relative safety margin, it must be charged at the power side.
(4) When changing the distribution of various units obtained according to the power market transaction rules, some power generation capacity (self-determination amount) cannot be treated by bidding; and some power generation capacity of power generation is not obtained in the bidding. Symmented capacity) is at a clear price below the corresponding quote. Therefore, the egg generator and the NMB will have a conflict of economic interests. The NT corresponds to the cost due to transmission blocking and cannot perform the initial trading result, and the NMBE basnel should appropriately give the generator to economic compensation when settlement, and the cost is called blocked fees. The Netcom should also consider minimize blocking costs at the same time under the guarantee of power grid safety operation.
The work you need to do is as follows:
1. A number of power grids have 8 generators, 6 main lines, Table 1 and Table 2, showed the current effort of various units, and the corresponding active trend values on each line, and the scheme 1 to 32 give a surrounding Some experimental data of Solution 0, trials these data to determine an approximate expression of the active trend on each of the lines.
2. Design a concise and reasonable blocking cost calculation rule, in addition to considering the above power market rules, it is necessary to pay attention to the order and quotation of the content of the preface to the content of the preface, higher than the settlement price of the content. Portable of capacity.
3. Suppose the load requirements of the next time period are 982.4MW, Table 3, Table 3, Table 4, and Table 5 give data from the segment capacity, segment price, and climbing rate of each unit, and give the next one to the power market rules. The extension distribution plan for each unit of the period.
4. Follow the trend limits given in Table 6, check whether the resulting drain distribution plan causes a transmission barrier, and adjusts the power distribution scheme according to the security and economic principles, and gives it Scheme corresponding obstruction costs.
5. Assume that the load requirements of the next time period are 1052.8MW, and 3 to 4 work is repeated.
Table 1 Various units (unit: MW, record MW) program / unit
1
2
3
4
5
6
Seduce
8
0
120 73 180 80 125 125 81.1 90 1
133.02 73 180 80 125 125 81.1 90 2
129.63 73 180 80 125 125 81.1 90 3
158.77 73 180 80 125 125 81.1 90 4
145.32 73 180 80 125 125 81.1 90 5
120 78.596 180 80 125 125 81.1 90 6
120 75.45 180 80 125 125 81.1 90 7
120 90.487 180 80 125 125 81.1 90 8
120 83.848 180 80 125 125 81.1 90 9
120 73 231.39 80 125 125 81.1 90 10
120 73 198.48 80 125 125 81.1 90 11
120 73 212.64 80 125 125 81.1 90 12
120 73 190.55 80 125 125 81.1 90 13
120 73 180 75.857 125 125 81.1 90 14
120 73 180 65.958 125 125 81.1 90 15
120 73 180 87.258 125 125 81.1 90 16
120 73 180 97.824 125 125 81.1 90 17
120 73 180 80 150.71 125 81.1 90 18
120 73 180 80 141.58 125 81.1 90 19
120 73 180 80 132.37 125 81.1 90 20
120 73 180 80 156.93 125 81.1 90 21
120 73 180 80 125 138.88 81.1 90 22
120 73 180 80 125 131.21 81.1 90 23
120 73 180 80 125 141.71 81.1 90 24
120 73 180 80 125 149.29 81.1 90 25
120 73 180 80 125 125 60.582 90 26
120 73 180 80 125 125 70.962 90 27
120 73 180 80 125 125 64.854 90 28
120 73 180 80 125 125 75.529 90 29
120 73 180 80 125 125 81.1 104.84 30
120 73 180 80 125 125 81.1 111.22 31
120 73 180 80 125 125 81.1 98.092 32
120 73 180 80 125 125 81.1 120.44
Table 2 Trend value of each line (each program corresponds to Table 1, unit: Mw)
Program / line
1
2
3
4
5
6
0
164.78
140.87
-144.25
119.09
135.44
157.69
1
165.81
140.13
-145.14
118.63
135.37
160.76
2
165.51
140.25
-144.92
118.7
135.33
159.98
3
167.93
138.71
-146.91
117.72
135.41
166.81
4
166.79
139.45
-145.92
118.13
135.41
163.64
5
164.94
141.5
-143.84
118.43
136.72
157.22
6
164.8
141.13
-144.07
118.82
136.02
157.5
Seduce
165.59143.03
-143.16
117.24
139.66
156.59
8
165.21
142.28
-143.49
117.96
137.98
156.96
9
167.43
140.82
-152.26
129.58
132.04
153.6
10
165.71
140.82
-147.08
122.85
134.21
156.23
11
166.45
140.82
-149.33
125.75
133.28
155.09
12
165.23
140.85
-145.82
121.16
134.75
156.77
13
164.23
140.73
-144.18
119.12
135.57
157.2
14
163.04
140.34
-144.03
119.31
135.97
156.31
15
165.54
141.1
-144.32
118.84
135.06
158.26
16
166.88
141.4
-144.34
118.67
134.67
159.28
In one
164.07
143.03
-140.97
118.75
133.75
158.83
18
164.27
142.29
-142.15
118.85
134.27
158.37
19
164.57
141.44
-143.3
119
134.88
158.01
20
163.89
143.61
-140.25
118.64
133.28
159.12
twenty one
166.35
139.29
-144.2
119.1
136.33
157.59
twenty two
165.54
140.14
-144.19
119.09
135.81
157.67
twenty three
166.75
138.95
-144.17
119.15
136.55
157.59
twenty four
167.69
138.07
-144.14
119.19
137.11
157.65
25
162.21
141.21
-144.13
116.03
135.5
154.26
26
163.54
141
-144.16
117.56
135.44
155.93
27
162.7
141.14
-144.21
116.74
135.4
154.88
Twist
164.06
140.94
-144.18
118.24
135.4
156.68
29
164.66
142.27
-147.2
120.21
135.28
157.65
30
164.7
142.94
-148.45
120.68
135.16
157.63
31
164.67
141.56
-145.88
119.68
135.29
157.61
32
164.69
143.84
-150.34
121.34
135.12
157.64
Table 3 Segment capacity of each unit (unit: Mw)
Unit / paragraph
1
2
3
4
5
6
Seduce
8
9
10
1
70 0 50 0 0 30 0 0 0 40 2
30 0 20 8 15 6 2 0 0 8 3
110 0 40 0 30 0 20 40 0 40 4
55 5 10 10 10 10 15 0 0 1 5
75 5 15 0 15 15 0 10 10 6
95 0 10 20 0 15 10 20 0 10 7
50 15 5 15 10 10 5 10 3 2 8
70 0 20 0 20 0 20 10 15 5
Table 4 Section price of various units (unit: yuan / megawatt, remembering meta / MWH)
Unit / paragraph
1
2
3
4
5
6
Seduce
8
9
10
1
-505
0
124
168
210
252
312
330
363
489
2
-560
0
182
203
245
300
320
360
410
495
3
-610
0
152
189
233
258
308
356
415
500
4
-500
150
170
200
255
302
325
380
435
800
5
-590
0
116
146
188
215
250
310
396
510
6
-607
0
159
173
205
252
305
380
405
520
Seduce
-500
120
180
251
260
306
315
335
348
548
8
-800
153
183
233
253
283
303
318
400
800
Table 5 Climbing rate (unit: Mw / minute) of various units
unit
1
2
3
4
5
6
Seduce
8
rate
2.2 1 3.2 1.3 1.8 2 1.4 1.8
Table 6 Tide limit (unit: Mw) and relative safety margin
line
1
2
3
4
5
6
Limit
165 150 160 155 132 162 Safety Margin
13%
18%
9%
11%
15%
14%
Write in the last:
This mathematics modeling has not worked hard, and there is an abandoned thought. However, the two big parties later let us see my previous one, so I have joined the current organization, and we have been coming to the end, when I saw the passion of two people, such a input, imagination What else can be said, everyone is so hard to complete their own things, why can't I? So I chose to work with them. It turns out that my choice is not wrong. Although we can't guarantee that we can get award, we have no regret, after all, we have experienced.
I remember that at the beginning, the teacher said that our combination is very good, I hope we can keep it. It turns out that we have done it, we have always kept crying when we left the examination room. It is not for us to get a award, but because we will be separated soon, although in a short month of learning, we have not learned a lot, but in our three constant exchanges, we have grown each other. Until the other party and his weaknesses, we were real found in this mathematical modeling, what is called discussion learning, what is a real university life. I remember that a classmate and me said that if we still fainted the days like it, we talked university and no idea. In our eyes, university is a class of students to discuss each other, and coert the enemy to learn. To discuss together, we need this atmosphere. However, what is we look like in reality? I don't want to say, I want everyone to know! However, in mathematical modeling, we found this feeling that truly realizes our ideal university life.
It is undeniable that mathematics modeling is very bitter, and the whole 72 hours is not sleeping. It is not fragrant. It may also be the red ear of the secondary, but fortunately, we have no, by us. Finding each other's weaknesses, helping the other party to correct mistakes, this is what we really get in mathematical modeling is not only knowledge, but also a deep friendship.
I remember that a teacher asked us how to ask us, we only say that it is not very good. But the teacher said: "Look at you like the brothers and sisters, such a happy cooperation, not much, I hope you can cherish it! You can't get a award, what is regret?" Yes, what regrets do we have? Key I know that I have a good brother, a good sister, a chance to contact the actual and books, and never abuse memories.
Finally, I wish my brothers and sisters, I hope we can work together in the future and do better results.
Good wishes to my partners.wish Them Have a Bright Future.
