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CN113991618B - Multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device - Google Patents

Multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device Download PDF

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CN113991618B
CN113991618B CN202111162056.3A CN202111162056A CN113991618B CN 113991618 B CN113991618 B CN 113991618B CN 202111162056 A CN202111162056 A CN 202111162056A CN 113991618 B CN113991618 B CN 113991618B
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distance protection
current
feeder
voltage
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CN113991618A (en
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安林
郑玉平
戴魏
吴通华
侯启林
姚刚
何昭辉
余洪
沈桂鹏
洪丰
龙锋
王应瑞
曹锐
侯小凡
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Nari Technology Co Ltd
NARI Nanjing Control System Co Ltd
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NARI Nanjing Control System Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H7/00Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
    • H02H7/26Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H3/00Emergency protective circuit arrangements for automatic disconnection directly responsive to an undesired change from normal electric working condition with or without subsequent reconnection ; integrated protection
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    • H02H3/05Details with means for increasing reliability, e.g. redundancy arrangements

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Abstract

The invention discloses a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device, belongs to the technical field of traction power supply relay protection, and realizes the reduction of the boundary during load and the automatic approaching to the initial boundary during fault to distinguish heavy load and short circuit fault by adjusting the load limit boundary of gamma-shaped distance protection of a traction substation feeder through voltage and current mutation, thereby solving the problem that the reliability and sensitivity of the traditional fixed boundary distance protection of an electrified railway feeder are difficult to be considered simultaneously.

Description

Multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device
Technical Field
The invention relates to a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device, and belongs to the technical field of traction power supply relay protection.
Background
In recent years, high-speed railways in China are rapidly developed. Meanwhile, the operation condition and the load change of the high-speed railway are more and more complicated, the working condition of the traction network is more and more severe, and once a fault occurs, the power failure accident of the traction network is possibly caused to cause great loss.
In the case that certain sections of the high-speed railway have certain slopes and have large variation fluctuation, especially in the case that the motor train unit closely tracks during the holiday transportation peak period, the load of the power supply arm is very likely to enter the boundary of the distance protection. The load electrical characteristics and high resistance faults of the traction network are similar, and the low-frequency harmonic content is small, so that the conventional traction network self-adaptive distance protection using the low-frequency harmonic cannot be continuously used, the protection misoperation condition often occurs, and great pressure is brought to the safe punctual operation of a railway. Therefore, the feeder line protection can be ensured not to be mistakenly operated under heavy load, and the fault can be quickly removed when the short-circuit fault occurs, so that the method has important significance for railway transportation.
Disclosure of Invention
Aiming at the problem that the traction load of a power supply arm is likely to cause protection misoperation during peak passenger flow transportation of a high-speed railway, the invention provides a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method and device, wherein feeder voltage and feeder current of the power supply arm are collected, the measured impedance of a feeder side is calculated, self-adaptive distance protection impedance boundary adjustment criteria based on voltage and current are calculated by voltage difference component and current difference component, and the load limitation boundary of feeder distance protection is self-adaptively adjusted, so that the reliable action of feeder distance protection under the condition of traction network fault is realized; and the impedance boundary of distance protection can be automatically reduced under the condition of heavy load of the traction network in the peak transportation period, and the load of the traction network cannot enter an impedance action area, so that the distance protection is reliable and does not act.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
the invention provides a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method, which comprises the following steps:
collecting feeder line voltage and feeder line current of a power supply arm in real time, and calculating voltage difference component and current difference component;
calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of multi-parameter adaptive distance protection impedance boundary adjustment based on the calculated voltage difference component and current difference component;
and calculating the load limiting resistance adjusted in real time by the self-adaptive distance protection impedance boundary as the resistance fixed value of the right boundary of the traction network feeder distance protection action characteristic based on the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value.
Further, the calculating the voltage difference component and the current difference component includes:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT)
dI(t 0 )=I(t 0 )-I(t 0 -nΔT)
wherein, dU (t) 0 ) Is t 0 Voltage U (t) at sampling time 0 ) Sample voltage U (T) before time n Delta T 0 A difference of-n Δ T), dI (T) 0 ) Is t 0 Current at sampling instant I (t) 0 ) Sampling current I (T) before time n Delta T 0 -n Δ T), Δ T being the sampling interval, n being the number of samples per power frequency period.
Further, calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of the multi-parameter adaptive distance protection impedance boundary adjustment based on the calculated voltage difference component and current difference component, including:
Figure BDA0003290212860000021
Figure BDA0003290212860000022
wherein,
Figure BDA0003290212860000023
for a criterion value of the proportion of the sudden change in the supply line voltage>
Figure BDA0003290212860000024
For criterion value of proportion of abrupt change of feeder current, R fh.set The initial value of the resistance is limited for the load of the adaptive distance protection impedance boundary.
Further, said R fh.set And determining the maximum locomotive load during operation according to the network pressure of the traction network.
Further, the load limiting resistance for calculating the real-time adjustment of the adaptive distance protection impedance boundary is as follows:
Figure BDA0003290212860000025
wherein R is fh For load limiting resistance, R zd And the right boundary resistance setting fixed value of the distance protection action characteristic determined in the design stage of the traction transformation.
The invention also provides a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection device, which comprises:
the first calculation module is used for acquiring feeder line voltage and feeder line current of the power supply arm in real time and calculating voltage difference component and current difference component;
the second calculation module is used for calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of the multi-parameter adaptive distance protection impedance boundary adjustment based on the calculated voltage difference component and current difference component;
and the number of the first and second groups,
and the selection module is used for calculating the load limiting resistance adjusted in real time at the adaptive distance protection impedance boundary as the resistance fixed value of the right boundary of the traction network feeder distance protection action characteristic based on the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value.
Further, the first calculation module is specifically configured to,
the voltage difference component and the current difference component are calculated as follows:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT)
dI(t 0 )=I(t 0 )-I(t 0 -nΔT)
wherein, dU (t) 0 ) Is t 0 Voltage U (t) at sampling time 0 ) Sample voltage U (T) before time n Delta T 0 A difference of-n Δ T), dI (T) 0 ) Is t 0 Current at sampling instant I (t) 0 ) Sampling current I (T) before time n Delta T 0 -n Δ T), Δ T being the sampling interval, n being the number of samples per power frequency period.
Further, the second calculation module is specifically configured to,
calculating a criterion value of the sudden change proportion of the feeder voltage and a criterion value of the sudden change proportion of the feeder current as follows:
Figure BDA0003290212860000031
Figure BDA0003290212860000032
wherein,
Figure BDA0003290212860000033
for a criterion value of the proportion of the sudden change in the supply line voltage>
Figure BDA0003290212860000034
For criterion value of proportion of abrupt change of feeder current, R fh.set The initial value of the resistance is limited for the load of the adaptive distance protection impedance boundary.
Further, the selection module is specifically configured to,
the load limiting resistance for real-time adjustment of the adaptive distance protection impedance boundary is calculated as follows:
Figure BDA0003290212860000035
wherein R is fh For load limiting resistance, R zd And the right boundary resistance setting fixed value of the distance protection action characteristic determined in the design stage of the traction transformation.
The invention has the beneficial effects that:
the method calculates the measured impedance of the feeder side by collecting the feeder voltage and the feeder current of the power supply arm, calculates the self-adaptive distance protection impedance boundary adjusting criterion based on the voltage and the current by the voltage difference component and the current difference component, and self-adaptively adjusts the load limiting boundary of the feeder distance protection, thereby realizing the automatic reduction of the boundary when the traction network is in heavy load and the automatic approaching of the boundary to the initial fixed value when the fault occurs so as to distinguish the heavy load from the short circuit fault, and having important guarantee significance for the stability and the reliability of the relay protection of the whole traction power supply system.
The invention solves the problem of feeder protection misoperation caused by overload of the high-speed railway in the peak transportation period, practically ensures the safe and punctual running of the train, and greatly reduces the economic loss caused by power failure accidents caused by protection misoperation.
Drawings
FIG. 1 is a multi-parameter adaptive gamma-shaped characteristic traction network feeder distance protection polygon action characteristic;
FIG. 2 shows the multi-parameter adaptive gamma-shaped characteristic traction net feeder distance protection parallelogram action characteristic.
Detailed Description
The invention is further described below. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
The embodiment of the invention provides a multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method, which comprises the following steps:
collecting feeder voltage and feeder current in real time, and calculating the measured impedance at the feeder side;
respectively calculating a voltage difference component and a current difference component of the feeder voltage and the feeder current which are collected in real time;
calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of multi-parameter adaptive distance protection impedance boundary adjustment based on the calculated voltage difference component and current difference component;
and calculating the load limiting resistance of the adaptive distance protection impedance boundary real-time adjustment based on the feeder line voltage sudden change proportion criterion value and the feeder line current sudden change proportion criterion value. The load limiting resistor is a resistor constant value of the right boundary of the distance protection action characteristic, so that the right boundary of the impedance characteristic is outwards expanded when the traction network fails to work to realize the reliable action of the distance protection, and is inwards reduced when the traction network is heavily loaded to realize the reliable and non-action of the distance protection.
In the embodiment of the invention, the feeder line protection device collects the voltage and the current of the feeder line in real time and calculates the measured impedance at the side of the feeder line
Figure BDA0003290212860000041
Figure BDA0003290212860000042
Wherein R is m Representing the measured resistance, X m Which represents the measured reactance of the current,
Figure BDA0003290212860000043
is the feeder voltage->
Figure BDA0003290212860000044
Is the feeder current;
in the embodiment of the invention, according to the feeder line voltage and the feeder line current which are collected in real time, the voltage difference component and the current difference component are respectively calculated:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT)
dI(t 0 )=I(t 0 )-I(t 0 -nΔT)
wherein, dU (t) 0 ) For the voltage U (t) at the present sampling moment 0 ) And n Δ T time before sampling voltage U (T) 0 -n Δ T); dI (t) 0 ) For the current I (t) at the present sampling moment 0 ) Sampling current I (T) before time n Delta T 0 -n Δ T); and n delta T is determined by specific sampling frequency, delta T is sampling interval, and n is the number of sampling points in each power frequency period.
In the embodiment of the invention, a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of multi-parameter adaptive distance protection impedance boundary adjustment including parameters such as voltage, current and the like are further calculated according to the voltage difference component and the current difference component obtained by real-time sampling calculation, and the calculation method comprises the following steps:
Figure BDA0003290212860000045
Figure BDA0003290212860000051
wherein R is fh.set The initial value of the load limiting resistor for the adaptive distance protection impedance boundary is generally determined according to the network voltage of the traction network and the maximum locomotive load during operation.
In the embodiment of the invention, in order to ensure the reliability of impedance boundary adjustment, the larger one of the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value is taken as the load limiting resistor R for the final real-time adjustment of the adaptive distance protection impedance boundary fh The expression is as follows:
Figure BDA0003290212860000052
wherein R is fh Has a value between R fh.set And R zd R is zd Is the right boundary resistance setting fixed value of the distance protection action characteristic determined at the design stage of the traction transformation, namely based on load limitationResistance R fh May be at R fh.set Boundary and R zd The boundary is stretched between the two.
As shown in fig. 1 and fig. 2, fig. 1 is a diagram illustrating the multi-parameter adaptive Γ -shaped characteristic traction network feeder distance protection polygon action characteristic in adaptive adjustment of impedance boundary under the intrusion of locomotive load; FIG. 2 is a diagram of a multi-parameter adaptive T-shaped characteristic traction network feeder distance protection parallelogram action characteristic under locomotive load invasion and an impedance boundary is adjusted in an adaptive mode. The polygonal characteristic distance protection shown in fig. 1 is generally applicable to most traction substations, and the parallelogram characteristic distance protection shown in fig. 2 is applicable to a few traction substations with special designs. Wherein R is zd And X zd The resistance fixed value and the reactance fixed value of the distance protection action characteristic are respectively, and the shadow part is a traction network locomotive load area.
When the traction network of the high-speed railway fails, the voltage sudden change proportion
Figure BDA0003290212860000053
And current mutation ratio>
Figure BDA0003290212860000054
Are both large and relatively close to 1, but both values do not exceed 1, so the load limiting resistor R is away from the protective impedance boundary fh Is close to R zd To limit the resistance R based on the load fh The right boundary of the impedance characteristic is set to a fixed value R zd The boundary is close, and the measured impedance can enter a distance protection action area when the fault occurs, so that the distance protection reliably acts when the traction network fails.
When heavy load occurs in the high-peak passenger flow section of the high-speed railway traction network, the voltage mutation proportion
Figure BDA0003290212860000055
And the current mutation ratio>
Figure BDA0003290212860000056
Are all small, the load limiting from the protective impedance boundary isResistance R fh Is close to R fh.set To limit the resistance R based on the load fh The right boundary of the impedance characteristic is reduced to the initial load limiting resistance R fh.set At the boundary, the protection range of distance protection is narrowed, and the measured impedance cannot enter the action area of distance protection when the network is pulled to bear heavy load, so that the distance protection is reliable and does not act, and the self-adaptive adjustment of the boundary of the feeder distance protection is realized.
It should be noted that in the art, the distance protection may also be expressed as impedance protection.
Another embodiment of the present invention provides a multi-parameter adaptive Γ -shape characteristic traction network feeder distance protection device, including:
the first calculation module is used for acquiring feeder voltage and feeder current of the power supply arm in real time and calculating voltage difference component and current difference component;
the second calculation module is used for calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of the multi-parameter self-adaptive distance protection impedance boundary adjustment based on the calculated voltage difference component and current difference component;
and the number of the first and second groups,
and the selection module is used for calculating the load limiting resistance adjusted in real time at the adaptive distance protection impedance boundary as the resistance fixed value of the right boundary of the traction network feeder distance protection action characteristic based on the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value.
In the embodiment of the present invention, the first calculating module is specifically configured to,
the voltage difference component and the current difference component are calculated as follows:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT)
dI(t 0 )=I(t 0 )-I(t 0 -nΔT)
wherein, dU (t) 0 ) Is t 0 Voltage U (t) at sampling time 0 ) Sample voltage U (T) before time n Delta T 0 A difference of-n Δ T), dI (T) 0 ) Is t 0 Current at sampling instant I (t) 0 ) Sampling current I (T) before time n Delta T 0 -n Δ T), Δ T being the sampling interval, n being the number of samples per power frequency period.
In the embodiment of the present invention, the second calculating module is specifically configured to,
calculating a criterion value of the sudden change proportion of the feeder voltage and a criterion value of the sudden change proportion of the feeder current as follows:
Figure BDA0003290212860000061
Figure BDA0003290212860000062
wherein,
Figure BDA0003290212860000063
for a criterion value of the proportion of the sudden change in the supply line voltage>
Figure BDA0003290212860000064
For criterion value of proportion of abrupt change of feeder current, R fh.set The initial value of the resistance is limited for the load of the adaptive distance protection impedance boundary.
In the embodiment of the present invention, the selection module is specifically configured to,
the load limiting resistance for real-time adjustment of the adaptive distance protection impedance boundary is calculated as follows:
Figure BDA0003290212860000071
wherein R is fh For load limiting resistance, R zd And the right boundary resistance setting fixed value of the distance protection action characteristic determined in the design stage of the traction transformation.
It is to be noted that the apparatus embodiment corresponds to the method embodiment, and the implementation manners of the method embodiment are all applicable to the apparatus embodiment and can achieve the same or similar technical effects, so that the details are not described herein.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.

Claims (7)

1. The multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection method is characterized by comprising the following steps of:
collecting feeder line voltage and feeder line current of a power supply arm in real time, and calculating voltage difference component and current difference component;
based on the voltage difference component and the current difference component obtained by calculation, calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of the multi-parameter adaptive distance protection impedance boundary adjustment, and calculating as follows:
Figure FDA0003934920760000011
Figure FDA0003934920760000012
wherein,
Figure FDA0003934920760000013
is a criterion value of the sudden change proportion of the feeder line voltage,
Figure FDA0003934920760000014
for criterion value of proportion of abrupt change of feeder current, R fh.set Limiting initial resistance value, dU (t), for adaptive distance protection impedance boundary load 0 ) Is t 0 The voltage difference component at the sampling time, U (t) 0 ) Is t 0 Voltage at sampling time, dI (t) 0 ) Is t 0 At the time of samplingCurrent differential component of current, I (t) 0 ) Is t 0 Sampling the current at the moment;
and calculating the load limiting resistance adjusted in real time at the adaptive distance protection impedance boundary based on the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value as the resistance fixed value of the right boundary of the traction network feeder line distance protection action characteristic.
2. The multi-parameter adaptive Γ -shaped characteristic pulling network feeder distance protection method according to claim 1, wherein the calculating a voltage difference component and a current difference component comprises:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT);
dI(t 0 )=I(t 0 )-I(t 0 -nΔT);
wherein, U (t) 0 -n Δ T) is the sampled voltage before the moment of n Δ T, I (T) 0 -n Δ T) is the sampling current before the time of n Δ T, Δ T is the sampling interval, and n is the number of sampling points per power frequency cycle.
3. The multi-parameter adaptive Γ -shaped characteristic traction network feeder distance protection method according to claim 1, wherein R is fh.set And determining according to the network pressure of the traction network and the maximum locomotive load during operation.
4. The multi-parameter adaptive gamma characteristic traction network feeder distance protection method according to claim 1, wherein the load limiting resistance for calculating the adaptive distance protection impedance boundary real-time adjustment is as follows:
Figure FDA0003934920760000015
wherein R is fh For load limiting resistance, R zd And the right boundary resistance setting fixed value of the distance protection action characteristic determined in the design stage of the traction transformation.
5. Multi-parameter self-adaptive gamma-shaped characteristic traction network feeder distance protection device is characterized by comprising:
the first calculation module is used for acquiring feeder line voltage and feeder line current of the power supply arm in real time and calculating voltage difference component and current difference component;
the second calculation module is used for calculating a feeder line voltage mutation proportion criterion value and a feeder line current mutation proportion criterion value of the multi-parameter adaptive distance protection impedance boundary adjustment according to the following modes based on the calculated voltage difference component and current difference component:
Figure FDA0003934920760000021
Figure FDA0003934920760000022
wherein,
Figure FDA0003934920760000023
is a criterion value of the sudden change proportion of the feeder line voltage,
Figure FDA0003934920760000024
for criterion value of proportion of abrupt change of feeder current, R fh.set Limiting initial resistance value, dU (t), for adaptive distance protection impedance boundary load 0 ) Is t 0 The voltage difference component at the sampling time, U (t) 0 ) Is t 0 Voltage at the sampling instant, dI (t) 0 ) Is t 0 The current difference at the sampling moment, I (t) 0 ) Is t 0 Current at the sampling time;
and the number of the first and second groups,
and the selection module is used for calculating the load limiting resistance adjusted in real time at the adaptive distance protection impedance boundary as the resistance fixed value of the right boundary of the traction network feeder distance protection action characteristic based on the feeder line voltage mutation proportion criterion value and the feeder line current mutation proportion criterion value.
6. The multi-parametric adaptive Γ -shaped characteristic pulling net feeder distance protection device according to claim 5, wherein the first computation module is specifically configured to,
the voltage difference component and the current difference component are calculated as follows:
dU(t 0 )=U(t 0 )-U(t 0 -nΔT);
dI(t 0 )=I(t 0 )-I(t 0 -nΔT);
wherein, U (t) 0 N Δ T) is the sampled voltage before the time of n Δ T, I (T) 0 -n Δ T) is the sampling current before the time of n Δ T, Δ T is the sampling interval, and n is the number of sampling points per power frequency cycle.
7. The multi-parametric adaptive Γ -shaped characteristic pulling net feeder distance protection device according to claim 5, wherein the selection module is specifically configured to,
the load limiting resistance for real-time adjustment of the adaptive distance protection impedance boundary is calculated as follows:
Figure FDA0003934920760000031
wherein R is fh For load limiting resistance, R zd And the right boundary resistance setting fixed value of the distance protection action characteristic determined in the design stage of the traction transformation.
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CN103296905A (en) * 2013-05-24 2013-09-11 西安理工大学 Self-adaptive control method for three-phase voltage-type power factor corrector

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