CN115663810A - Power angle instability determination method and system for alternating current-direct current parallel system - Google Patents

Power angle instability determination method and system for alternating current-direct current parallel system Download PDF

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CN115663810A
CN115663810A CN202211407159.6A CN202211407159A CN115663810A CN 115663810 A CN115663810 A CN 115663810A CN 202211407159 A CN202211407159 A CN 202211407159A CN 115663810 A CN115663810 A CN 115663810A
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power
direct current
parallel system
current
transfer channel
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潘艳
胡加伟
赵伟
徐鹏
王彤
董烨
李付强
张晶
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North China Electric Power University
North China Grid Co Ltd
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North China Grid Co Ltd
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Abstract

The invention relates to a method and a system for determining power angle instability of an alternating current-direct current parallel system, wherein the method comprises the following steps: acquiring direct-current power variation caused by direct-current faults in an alternating-current and direct-current parallel system; according to the direct current power variable quantity, calculating a power flow transfer channel strength factor of the alternating current-direct current parallel system; and judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor. According to the method, the fact that the power peak value of the alternating current connecting line reaches the static stability limit is used as a key characteristic for judging possible instability of the system, and the power angle instability of the system after the direct current fault is quickly determined by calculating the power flow transfer channel intensity factor of the alternating current and direct current parallel system to serve as a power transfer support intensity index.

Description

Power angle instability determination method and system for AC-DC parallel system
Technical Field
The invention relates to the technical field of alternating current and direct current power grids, in particular to a method and a system for determining power angle instability of an alternating current and direct current parallel system.
Background
When a direct current fails, the direct current power needs to be transferred through an alternating current channel (i.e., an alternating current link), the transmission capacity of the direct current is often much larger than that of a single-circuit alternating current transmission line, and when the power transfer space reserved in the alternating current channel is insufficient, the system is prone to instability, which is called power angle instability. In practice, similar phenomena as described above also exist for pure ac parallel transmission systems with different voltage classes. However, in a pure ac parallel transmission system, this configuration is referred to as a high and low voltage electromagnetic ring network. In a pure alternating current parallel transmission system with a high-low voltage electromagnetic ring network structure, once a high-voltage-level transmission line is disconnected due to a fault, the power flow is transferred to a low-voltage-level transmission line, so that the power flow level on the low-voltage-level transmission line exceeds a stability limit, and the system instability is caused. The harmfulness of the high-low voltage electromagnetic ring network in China power industry is fully known, and the electromagnetic ring network with different voltage levels, which seriously affects the safety and stability of a power grid, is clearly pointed out in the safety and stability guide rule of a power system. The method and the device have the advantages that the power angle instability is determined aiming at the alternating current and direct current power grid, and the method and the device have important significance for timely and effectively making an adjusting strategy.
Disclosure of Invention
The invention aims to provide a method and a system for determining power angle instability of an alternating current-direct current parallel system, so as to determine the power angle instability of the alternating current-direct current parallel system.
In order to achieve the purpose, the invention provides the following scheme:
a method for determining power angle instability of an AC-DC parallel system comprises the following steps:
acquiring direct-current power variation caused by direct-current faults in an alternating-current and direct-current parallel system;
according to the direct current power variable quantity, calculating a power flow transfer channel strength factor of the alternating current-direct current parallel system;
and judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
Optionally, the calculating a power flow transfer channel strength factor of the ac-dc parallel system according to the dc power variation specifically includes:
according to the direct current power variation, calculating the strength factor of the power flow transfer channel by using the following formula;
Figure BDA0003937295780000021
wherein, K P Representing the power flow transfer channel strength factor, delta P, of an AC-DC parallel system DC For the variation of DC power due to DC fault, P ac0 For an initial value of the AC link power, P ac,limit Is the calming limit of the ac link.
Optionally, the determining, based on the strength factor of the power flow transfer channel, whether the dc parallel system has a risk of power angle instability specifically includes:
judgment formula K P <1 is true or not;
when formula K P <1, when the direct current parallel system is established, the direct current parallel system has no risk of power angle instability;
when the formula K P <And when the 1 is not established, the risk of power angle instability of the direct current parallel system is shown.
A system for determining power angle instability of a parallel ac/dc system, the system comprising:
the direct current power variable quantity acquisition module is used for acquiring direct current power variable quantity caused by direct current faults in the alternating current-direct current parallel system;
the power flow transfer channel strength factor calculation module is used for calculating the power flow transfer channel strength factor of the alternating current-direct current parallel system according to the direct current power variable quantity;
and the risk determining module is used for judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
Optionally, the module for calculating the strength factor of the power flow transfer channel specifically includes:
the power flow transfer channel strength factor calculation unit is used for calculating the power flow transfer channel strength factor according to the direct-current power variation by using the following formula;
Figure BDA0003937295780000022
wherein, K P Representing the power flow transfer channel strength factor, delta P, of an AC-DC parallel system DC For the variation of DC power due to DC fault, P ac0 For an initial value of the AC link power, P ac,limit Is the calming limit of the ac link.
Optionally, the risk determining module specifically includes:
a risk judgment unit for judging formula K P <1 is true or not; when formula K P <1, when the direct current parallel system is established, the direct current parallel system has no risk of power angle instability; when formula K P <And when the 1 is not established, the risk of power angle instability of the direct current parallel system is shown.
An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the method as described above when executing the computer program.
A computer-readable storage medium, having stored thereon a computer program which, when executed, implements the method described above.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the invention discloses a method and a system for determining power angle instability of an alternating current-direct current parallel system, wherein the method comprises the following steps: acquiring direct-current power variation caused by direct-current faults in an alternating-current and direct-current parallel system; according to the direct current power variable quantity, calculating a power flow transfer channel strength factor of the alternating current-direct current parallel system; and judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor. According to the method, the fact that the power peak value of the alternating current connecting line reaches the static stability limit is used as a key characteristic for judging possible instability of the system, and the power angle instability of the system after the direct current fault is quickly determined by calculating the power flow transfer channel intensity factor of the alternating current and direct current parallel system to serve as a power transfer support intensity index.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a schematic diagram of power change of an ac tie line under a critical stable condition after a dc fault according to an embodiment of the present invention;
fig. 2 is a flowchart of a method for determining power angle instability of an ac/dc parallel system according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a peak value of power fluctuation of an ac tie line after a dc fault according to an embodiment of the present invention; fig. 3 (a) is a schematic diagram of a dc fault, and fig. 3 (b) is a schematic diagram of a step response of a linear second-order system;
fig. 4 is a schematic diagram of an access scheme of a westernized ac/dc delivery system according to an embodiment of the present invention;
FIG. 5 is a schematic diagram of the AC channel power transmission power after a single-pole DC blocking fault according to an embodiment of the present invention;
fig. 6 is a schematic diagram of power angle grouping of a generator after a dc single-pole blocking fault in north of monte according to an embodiment of the present invention;
FIG. 7 is a graph of the power angle of the generator after a single DC pole blocking fault according to an embodiment of the present invention;
fig. 8 is a graph illustrating an active power flow of an ac channel after a dc monopole blocking fault according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a method and a system for determining power angle instability of an alternating current-direct current parallel system, so as to determine the power angle instability of the alternating current-direct current parallel system.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Example 1
During transients, the quiescent limit is the maximum value that the ac link active power can reach. As shown in the schematic diagram of fig. 1, when the first swing peak value of the active power of the ac tie line does not reach the static stability limit, the system is stable, and the stability margin is large; after the first swing peak value reaches the static stability limit, the stability margin is small, and if the deceleration area is insufficient, the system may further cross an unstable balance point and lose the stability of the power angle. In the case of near-steady, the ac link passes the steady limit twice.
Therefore, the fact that the first swing peak value of the active power of the alternating current connecting line reaches the static stability limit can be used as a key feature for judging possible instability of the system, and an alternating current channel power transfer support strength index of the alternating current-direct current parallel system is defined and used for evaluating the transient stability state of the system after direct current faults.
As shown in fig. 2, embodiment 1 of the present invention provides a method for determining power angle instability of an ac-dc parallel system, where the method includes the following steps:
step 101, acquiring a direct current power variable quantity caused by a direct current fault in an alternating current and direct current parallel system.
And 102, calculating a power flow transfer channel strength factor of the alternating current-direct current parallel system according to the direct current power variable quantity.
The calculation formula of step 102 is:
Figure BDA0003937295780000051
wherein, K P Representing the power flow transfer channel strength factor, Δ P, of an AC-DC parallel system DC For the variation of DC power due to DC fault, P ac0 For an initial value of the AC link power, P ac,limit Is the calming limit of the ac link.
The implementation principle of step 102 is as follows:
as shown in fig. 3, (a) in fig. 3 is a schematic diagram of a dc fault, and (b) in fig. 3 is a schematic diagram of a step response of a linear second-order system. The alternating current and direct current parallel system is equivalent to a linear second-order system, and the power fluctuation peak value of the alternating current tie line after the direct current blocking fault is calculated according to the overshoot of the linear second-order system under the step response, as shown in the following formula:
Figure BDA0003937295780000052
in the formula, delta P (t) p ) For peak values of the magnitude of the ac link power fluctuation caused by dc blocking faults, Δ P And xi is a steady-state value of the power fluctuation of the alternating-current connecting line caused by the direct-current blocking fault, and xi is the damping ratio of the alternating-current and direct-current interconnection system.
In the case of a dc blocking fault and without taking into account the damping ratio ξ, i.e., ξ =0, equation (1) can be written as:
ΔP(t p )=2ΔP DC (2)
wherein, Δ P DC For the variation of the DC power caused by a fault, Δ P =ΔP DC
In order to quantitatively research the supporting capacity of an alternating current channel to power transfer after a direct current fault caused by alternating current and direct current parallel connection, a power flow transfer channel strength factor of an alternating current and direct current parallel system is defined.
Figure BDA0003937295780000061
In the formula P ac0 For an initial value of the AC link power, P ac,limit Is the calm limit of the AC tie line.
And 103, judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
When K is P <1, the system can bear the direct current power, the system is stable, otherwise the power limit of the alternating current channel is broken through, and the power angle instability problem of the system occurs.
Example 2
In order to verify the effectiveness of the method provided in embodiment 1 of the present invention, embodiment 2 of the present invention provides the following specific implementation manner.
Monsy-river north and south net +/-800 kV direct current case analysis
(1) General overview of Mongolian AC/DC parallel delivery system
Mongolia is a main power source of a load center of a power grid in North China, extra-high voltage direct current of a power grid in North south of Mongolia from West to river is constructed, and the fact that Mongolia power is transmitted to the load center of the power grid in North China is also one of planning alternatives. The direct current and an original 4-circuit 500-kilovolt alternating current power transmission channel for transmitting power to north China in Mongolia form an alternating current-direct current parallel scene.
1) Monte AC delivery profile
The muncy grid is a long-chain channel that extends from west to east. At present, an alternating current channel formed by connecting Mongolian west and North China in parallel is a 500-kilovolt line with 4 loops including a sweat-stilling source and a Fengquan-Wanquan, the power transmission capacity is 440 ten thousand kilowatts, and the limited faults are as follows: dynamic instability after a fault of the Fengquan-Wanquan alternating current triple permanent N-1 occurs.
2) Mongolian-North China extra-high voltage DC profile
The voltage level of a direct current line designed by the scene is +/-800 kilovolts, the transmission capacity is 800 ten thousand kilowatts, a transmission end is connected into a Mongolian power grid, a drop point selects pi to enter a line from the Ughai to the Buri, the transmission end is connected with 5 100 ten thousand kilowatt thermal power in a matching way, the rest 300 ten thousand kilowatt power needs to be collected through the Mongolian power grid, and the direct current connection condition is shown in figure 4.
(2) Mongolian AC/DC parallel delivery system power transmission capacity analysis
And checking and analyzing the system stability after the fault of the AC line N-1 and the DC single-pole blocking fault. The calculation result shows that under the condition of keeping the power transmission capacity of the four-circuit alternating current channel to be 480 ten thousand watts unchanged, the maximum direct current transmission power is about 600 ten thousand watts, and the limited fault is direct current single-pole locking or dynamic instability after a Fengquan-Wanquan triple-permanent-N-1 fault.
And checking the N-1 fault of the alternating current line and the direct current single-pole blocking fault under the condition of keeping 800 ten thousand kilowatts of full direct current transmission unchanged to obtain a Mongolian alternating current section with the power transmission capacity of 380 ten thousand kilowatts and limit the fault to be dynamic instability after direct current single-pole blocking.
Therefore, after the direct current is connected into the alternating current and direct current system, the combined power transmission capacity of the alternating current and direct current system is about 1100 kilo kilowatts.
The ac channel power transmission power is 380 kw, and the ac channel power transmission power and the generator power angle grouping situation after the dc monopole blocking fault when the dc full power operation (800 kw) is performed are shown in fig. 5 and fig. 6.
(3) Monksi alternating current-direct current outgoing limit mode power transfer index analysis
The calculation results of the power transfer indexes in the Mongolian alternating current and direct current outgoing limiting mode are shown in Table 1. From the calculation results, the calming limit of the ac channel is about 1150 kw. When the alternating current channel transmits 380 thousands kilowatts, and the direct current runs at full power (800 thousands kilowatts), the power fluctuation peak value of the alternating current channel is 1117 thousands kilowatts after the monopole blocking fault is obtained through simulation calculation, and the alternating current channel is close to the static pole of the alternating current channelAnd (4) limiting. The method is a limit method that an alternating current system is limited by dynamic stability under the condition of full direct current delivery, and a power flow transfer channel strength factor K is obtained through calculation P Is 1 to 1.02. Further increasing the initial power of the ac channel to 420 kw, transient instability of the dc unipolar blocking fault system occurs in this manner, as shown in fig. 7 and 8. The power fluctuation peak value of the alternating current connecting line is 1120 ten thousand kilowatts after the direct current single pole blocking fault is obtained through simulation calculation, and the strength factor K of the power flow transfer channel is obtained through calculation P Is 1.03 to 1.06. Time domain simulation calculation and power transfer intensity index calculation results show that the power transfer supporting capacity of an alternating current channel is broken through when the direct current single-pole blocking fault occurs in the mode, and the system stability problem is caused. The power transmission capacity of the alternating current channel obtained through simulation calculation is basically consistent with that of index calculation, and the index can be used as a reference for alternating current and direct current power distribution and channel reinforcement of the alternating current and direct current parallel system.
Example 3
An embodiment 3 of the present invention provides a power angle instability determining system for an ac/dc parallel system, where the system includes:
the direct current power variable quantity acquisition module is used for acquiring direct current power variable quantity caused by direct current faults in the alternating current-direct current parallel system;
and the power flow transfer channel intensity factor calculation module is used for calculating the power flow transfer channel intensity factor of the alternating current-direct current parallel system according to the direct current power variable quantity.
The module for calculating the intensity factor of the power flow transfer channel specifically comprises:
the power flow transfer channel strength factor calculation unit is used for calculating the power flow transfer channel strength factor by using the following formula according to the direct current power variable quantity;
Figure BDA0003937295780000081
wherein, K P Representing the power flow transfer channel strength factor, delta P, of an AC-DC parallel system DC Variation of DC power due to DC fault,P ac0 Is the initial value of the AC link power, P ac,limit Is the calming limit of the ac link.
And the risk determining module is used for judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
The risk determination module specifically includes:
a risk judging unit for judging the formula K P <1 is true or not; when formula K P <1, when the direct current parallel system is established, the direct current parallel system has no risk of power angle instability; when the formula K P <And when the 1 is not established, the risk of power angle instability of the direct current parallel system is shown.
Example 4
Embodiment 4 of the present invention provides an electronic device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the foregoing method when executing the computer program.
Further, the computer program in the memory described above may be stored in a computer-readable storage medium when it is implemented in the form of a software functional unit and sold or used as a separate product. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: u disk, removable hard disk, read only memory, random access memory, magnetic or optical disk, etc. for storing program codes.
Example 5
An embodiment 5 of the present invention provides a computer-readable storage medium, where a computer program is stored, and when the computer program is executed, the computer program implements the method described above.
When a direct current fails, direct current power needs to be transferred through an alternating current channel, the transmission capacity of the direct current is usually much larger than that of a single-circuit alternating current transmission line, and when a reserved power transfer space of the alternating current channel is insufficient, system instability is easily caused.
In the transient process, the static stability limit is the maximum value which the active power of the alternating-current connecting line can reach, the key characteristic that the active power of the alternating-current connecting line reaches the static stability limit is taken as the judgment of the possible instability of the system, the strength factor of the power flow transfer channel of the alternating-current and direct-current parallel system is defined and taken as the power transfer support strength index, and the rapid evaluation of the power angle instability of the system after the direct-current fault is realized.
In the present specification, the embodiments are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the foregoing, the description is not to be taken in a limiting sense.

Claims (8)

1. A method for determining power angle instability of an AC-DC parallel system is characterized by comprising the following steps:
acquiring direct-current power variation caused by direct-current faults in an alternating-current and direct-current parallel system;
calculating a power flow transfer channel intensity factor of the alternating current-direct current parallel system according to the direct current power variable quantity;
and judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
2. The method according to claim 1, wherein the calculating a power flow transfer channel strength factor of the ac-dc parallel system according to the dc power variation specifically includes:
according to the direct current power variation, calculating the strength factor of the power flow transfer channel by using the following formula;
Figure FDA0003937295770000011
wherein, K P Representing the power flow transfer channel strength factor, delta P, of an AC-DC parallel system DC For the variation of DC power due to DC fault, P ac0 For an initial value of the AC link power, P ac,limit Is the calming limit of the ac link.
3. The method according to claim 1, wherein the determining whether the dc parallel system has a risk of power angle instability based on the power flow transfer channel strength factor specifically includes:
judgment formula K P <1 is true or not;
when formula K P <1, when the direct current parallel system is established, the direct current parallel system has no risk of power angle instability;
when formula K P <And when the 1 is not established, the risk of power angle instability of the direct current parallel system is shown.
4. A power angle instability determining system of an AC-DC parallel system is characterized by comprising:
the direct current power variable quantity acquisition module is used for acquiring direct current power variable quantity caused by direct current faults in the alternating current-direct current parallel system;
the power flow transfer channel strength factor calculation module is used for calculating the power flow transfer channel strength factor of the alternating current-direct current parallel system according to the direct current power variable quantity;
and the risk determining module is used for judging whether the direct current parallel system has the risk of power angle instability or not based on the power flow transfer channel strength factor.
5. The system for determining power angle instability of an ac-dc parallel system according to claim 4, wherein the power flow transfer channel strength factor calculation module specifically includes:
the power flow transfer channel strength factor calculation unit is used for calculating the power flow transfer channel strength factor according to the direct-current power variation by using the following formula;
Figure FDA0003937295770000021
wherein, K P Representing the power flow transfer channel strength factor, Δ P, of an AC-DC parallel system DC For the DC power variation, P, caused by DC faults ac0 Is the initial value of the AC link power, P ac,limit Is the calm limit of the AC tie line.
6. The system for determining power angle instability of an ac-dc parallel system according to claim 4, wherein the risk determining module specifically includes:
a risk judging unit for judging the formula K P <1 is true or not; when the formula K P <1, when the direct current parallel system is established, the direct current parallel system is free from the risk of power angle instability; when the formula K P <And when the 1 is not established, the risk of power angle instability of the direct current parallel system is shown.
7. An electronic device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, the processor implementing the method of any of claims 1 to 3 when executing the computer program.
8. A computer-readable storage medium, characterized in that a computer program is stored on the storage medium, which computer program, when executed, carries out the method according to any one of claims 1 to 3.
CN202211407159.6A 2022-11-10 2022-11-10 Power angle instability determination method and system for alternating current-direct current parallel system Pending CN115663810A (en)

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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110070200A (en) * 2018-01-24 2019-07-30 中国电力科学研究院有限公司 A kind of AC network is to DC support degree of strength multiple index evaluation method and system
CN114498778A (en) * 2021-12-24 2022-05-13 国网冀北电力有限公司电力科学研究院 Method and device for determining limit of AC/DC combined power transmission electrode

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110070200A (en) * 2018-01-24 2019-07-30 中国电力科学研究院有限公司 A kind of AC network is to DC support degree of strength multiple index evaluation method and system
CN114498778A (en) * 2021-12-24 2022-05-13 国网冀北电力有限公司电力科学研究院 Method and device for determining limit of AC/DC combined power transmission electrode

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Application publication date: 20230131