CN102025124B - Single phase earth connection relaying protective method - Google Patents

Single phase earth connection relaying protective method Download PDF

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CN102025124B
CN102025124B CN201010565305.9A CN201010565305A CN102025124B CN 102025124 B CN102025124 B CN 102025124B CN 201010565305 A CN201010565305 A CN 201010565305A CN 102025124 B CN102025124 B CN 102025124B
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modulus
traveling wave
wavelet
wave modulus
component
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CN102025124A (en
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董新洲
施慎行
王珺
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Beijing Qingyuan Jibao Technology Co.,Ltd.
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Tsinghua University
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Abstract

The invention provided a single phase earth connection relaying protective method which comprises the following steps: step 102, acquiring wave head polarity of current transient travelling wave modulus and wave head polarity of voltage transient travelling wave modulus of a circuit respectively; and step 104, comparing the wave head polarity of current transient travelling wave modulus with the wave head polarity of voltage transient travelling wave modulus, if the wave head polarity of the two is reverse, the occurrence of single phase earth fault is confirmed. Through the technical scheme in the invention, the defects that the traditional method is insensitive or invalid caused by that fault current is unobvious after the single phase earth of a neutral point invalid earthing system, and the sensitivity and reliability of the single phase earth connection relaying protection are improved.

Description

Single phase earth connection relaying protective
Technical field
The present invention relates to protecting electrical power system and control technology, relate in particular to single phase earth connection relaying protective.
Background technology
The neutral point of domestic distribution system adopts isolated neutral system and neutral by arc extinction coil grounding system more.When this system generation single-phase earthing, Earth Phase lower voltage, ungrounded phase voltage raises.Because system can only form loop by direct-to-ground capacitance, direct-to-ground capacitance capacitive reactance is larger, causes fault current very little, can not have influence on the normal power supply to user simultaneously, the safe operation process of system is not formed directly and is threatened.China's " power equipment overvoltage resist technology article " regulation, in the time of this generation single-phase earthing of system with non effectively earth ed neutral, can continue to move 2 hours.But this abnormal running status does not allow long-term existence.First, earth point can produce ground arc, the insulation permanent damage that high arc temperature can cause wire and close on, and may develop into phase-to phase fault; Secondly ungrounded phase voltage raises the insulation of this phase is threatened, ageing of insulation is accelerated in long-time running meeting, and distribution system also may be punctured again in other position under this high-tension effect, form short-circuit current paths with together with previous earth point, bring larger loss to user.
After distribution system generation single-phase earthing due to neutral non-effective grounding, do not form short-circuit loop, the zero-sequence current circulating in system and each circuit is only line mutual-ground capacitor electric current, and earth current is less.And because distribution line structure and parameter is usually asymmetric, making normal runtime system exist unbalanced zero-sequence current, this electric current possibility " flooding ", by the caused zero-sequence current of ground connection, makes phase-to-ground fault detection very difficult.
At present, system with non effectively earth ed neutral one-phase ground protection mainly contains following methods:
1) just occurred in the time of first half period of ground connection, the unexpected reduction of fault phase voltage causes that distributed capacitance discharges over the ground, and the unexpected rising of healthy phases voltage can make distributed capacitance charging, thereby causes the transient process of circuit.Now the first half-wave residual voltage of ground path is contrary with zero-sequence current wave head polarity, but not ground path wave head polarity is identical, thereby forms protection algorithm.But because the peak value size of capacitance current is relevant with the instantaneous value that earth fault moment phase voltage occurs, be therefore difficult to the reliability of assurance device.
2) system enters after steady-state process, and the line power direction of utilizing power frequency residual voltage and electric current to form judges whether circuit breaks down.Main method comprises the zero sequence power direction protection of isolated neutral system, active power method and the energy function method of neutral by arc extinction coil grounding system of being directed to.But because algorithm has used the power frequency component of zero-sequence current, thus also cannot avoid single phase ground fault occur after zero-sequence current numerical value too small and make protection reliability and sensitivity not high.
Therefore; need a kind of single phase earth connection relaying protective; overcome system with non effectively earth ed neutral and cause the defect that traditional protection method is insensitive or lost efficacy because single phase ground fault phenomenon is not obvious, improve sensitivity and the reliability of phase-to-ground fault detection.
Summary of the invention
Given this; technical problem to be solved by this invention is; a kind of single phase earth connection relaying protective is provided; can overcome system with non effectively earth ed neutral and cause the defect that traditional protection method is insensitive or lost efficacy because single-phase earth fault current is not obvious, improve sensitivity and the reliability of phase-to-ground fault detection.
The invention provides a kind of single phase earth connection relaying protective, comprising: step 102, obtain respectively the wave head polarity of current temporary state traveling wave modulus and the wave head polarity of voltage transient traveling wave modulus of circuit; Step 104, compares the wave head polarity of the wave head polarity of described current temporary state traveling wave modulus and described voltage transient traveling wave modulus, in the opposite polarity situation of both wave heads, determines described single phase ground fault occurs.By technique scheme, judge whether to occur single-phase earthing according to the wave head polarity of the capable ripple of current temporary state and the capable ripple of voltage transient, can be sensitive and single phase ground fault detected reliably.
In technique scheme, preferably, comprise in step 102: the described current temporary state traveling wave modulus and the described voltage transient traveling wave modulus that obtain respectively circuit, described current temporary state traveling wave modulus and described voltage transient traveling wave modulus are carried out respectively to wavelet transformation, obtain respectively the wavelet conversion coefficient of described current temporary state traveling wave modulus and the wavelet conversion coefficient of described voltage transient traveling wave modulus; Obtain the wavelet modulus maxima of electric current according to the wavelet conversion coefficient of described current temporary state traveling wave modulus, obtain the wavelet modulus maxima of voltage according to the wavelet conversion coefficient of described voltage transient traveling wave modulus; And determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described electric current, determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described voltage.
In technique scheme, preferably, described wavelet transformation adopts the derived function of three subcenter B-spline functions as wavelet function, wavelet coefficient sequence { h k} k ∈ z, { g k} k ∈ zfor:
{h k} k∈z=(0.125,0.375,0.375,0.125)(k=-1,0,1,2),
{g k} k∈z=(-2,2)(k=0,1),
After described wavelet transformation, described current temporary state traveling wave modulus is resolved into following form:
A 2 i ( n ) = Σ k h k A 2 j - 1 i ( n - 2 j - 1 k ) W 2 j i ( n ) = Σ k g k A 2 j - 1 i ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described current temporary state traveling wave modulus i (n), for the wavelet conversion coefficient of described current temporary state traveling wave modulus i (n).
After described wavelet transformation, described voltage transient traveling wave modulus is resolved into following form:
A 2 j u ( n ) = Σ k h k A 2 j - 1 u ( n - 2 j - 1 k ) W 2 j u ( n ) = Σ k g k A 2 j - 1 u ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described voltage transient traveling wave modulus u (n), for the wavelet conversion coefficient of described voltage transient traveling wave modulus u (n).
In technique scheme, preferably, for any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described current temporary state traveling wave modulus; For any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described voltage transient traveling wave modulus.
In technique scheme, preferably, described current temporary state traveling wave modulus comprises zero mould current component I 0, α mould current component I α, β mould current component I βwith γ mould current component I γin any or its combination, described voltage transient traveling wave modulus comprises zero mode voltage component U 0, α mode voltage component U α, β mode voltage component U βwith γ mode voltage component U γin any or its combination.
In technique scheme, preferably, described zero mould current component I 0with described zero mode voltage component U 0wave head polarity when contrary, determine described line fault, otherwise, determine that described circuit does not break down.
In technique scheme, preferably, as described α mould current component I αor β mould current component I βin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described α mould current component I αwith β mould current component I βall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
In technique scheme, preferably, as described β mould current component I βor γ mould current component I γin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described β mould current component I βwith γ mould current component I γall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
In technique scheme, preferably, determining after line fault, make the actuating of relay.
Propose although this method is the system with non effectively earth ed neutral one-phase ground protection problem that is difficult to effectively solve for existing method, the method is equally applicable to the system with effectively earthed neutral one-phase ground protection problem that existing method can solve.
Brief description of the drawings
Fig. 1 shows the flow chart of single phase earth connection relaying protective according to an embodiment of the invention;
Fig. 2 shows the flow chart of the single phase earth connection relaying protective that uses according to an embodiment of the invention three-phase current magnitude of voltage;
Fig. 3 shows the flow chart of the single phase earth connection relaying protective that uses according to an embodiment of the invention zero-sequence current magnitude of voltage;
Fig. 4 shows the flow chart of the single phase earth connection relaying protective that uses according to an embodiment of the invention A, C biphase current magnitude of voltage.
Embodiment
In order more clearly to understand above-mentioned purpose of the present invention, feature and advantage, below in conjunction with the drawings and specific embodiments, the present invention is further described in detail.
Set forth in the following description a lot of details so that fully understand the present invention, still, the present invention can also adopt other to be different from other modes described here and implement, and therefore, the present invention is not limited to following public specific embodiment.
Fig. 1 shows the flow chart of single phase earth connection relaying protective according to an embodiment of the invention.
As shown in Figure 1, single phase earth connection relaying protective comprises according to an embodiment of the invention: step 102, obtain respectively the wave head polarity of current temporary state traveling wave modulus and the wave head polarity of voltage transient traveling wave modulus of circuit; Step 104, compares the wave head polarity of the wave head polarity of described current temporary state traveling wave modulus and described voltage transient traveling wave modulus, in the opposite polarity situation of both wave heads, determines described single phase ground fault occurs.By such technical scheme, judge whether to occur single-phase earthing according to the wave head polarity of the capable ripple of current temporary state and the capable ripple of voltage transient, can be sensitive and single phase ground fault detected reliably.
In technique scheme, comprise in step 102: the described current temporary state traveling wave modulus and the described voltage transient traveling wave modulus that obtain respectively circuit, described current temporary state traveling wave modulus and described voltage transient traveling wave modulus are carried out respectively to wavelet transformation, obtain respectively the wavelet conversion coefficient of described current temporary state traveling wave modulus and the wavelet conversion coefficient of described voltage transient traveling wave modulus; Obtain the wavelet modulus maxima of electric current according to the wavelet conversion coefficient of described current temporary state traveling wave modulus, obtain the wavelet modulus maxima of voltage according to the wavelet conversion coefficient of described voltage transient traveling wave modulus; And determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described electric current, determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described voltage.Like this, just can judge the wave head polarity of the capable ripple of current temporary state and the wave head polarity of the capable ripple of voltage transient.
In technique scheme, described wavelet transformation can adopt the derived function of three subcenter B-spline functions as wavelet function, wavelet coefficient sequence { h k} k ∈ z, { g k} k ∈ zfor:
{h k} k∈z=(0.125,0.375,0.375,0.125)(k=-1,0,1,2),
{g k} k∈z=(-2,2)(k=0,1),
After described wavelet transformation, described current temporary state traveling wave modulus is resolved into following form:
A 2 j i ( n ) = &Sigma; k h k A 2 j - 1 i ( n - 2 j - 1 k ) W 2 j i ( n ) = &Sigma; k g k A 2 j - 1 i ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described current temporary state traveling wave modulus i (n), for the wavelet conversion coefficient of described current temporary state traveling wave modulus i (n).
After described wavelet transformation, described voltage transient traveling wave modulus is resolved into following form:
A 2 j u ( n ) = &Sigma; k h k A 2 j - 1 u ( n - 2 j - 1 k ) W 2 j u ( n ) = &Sigma; k g k A 2 j - 1 u ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described voltage transient traveling wave modulus u (n), for the wavelet conversion coefficient of described voltage transient traveling wave modulus u (n).
In technique scheme, for any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described current temporary state traveling wave modulus; For any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described voltage transient traveling wave modulus.
In technique scheme, described current temporary state traveling wave modulus comprises zero mould current component I 0, α mould current component I α, β mould current component I βwith γ mould current component I γin any or its combination, described voltage transient traveling wave modulus comprises zero mode voltage component U 0, α mode voltage component U α, β mode voltage component U βwith γ mode voltage component U γin any or its combination.
In technique scheme, described zero mould current component I 0with described zero mode voltage component U 0wave head polarity when contrary, determine described line fault, otherwise, determine that described circuit does not break down.
In technique scheme, as described α mould current component I αor β mould current component I βin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described α mould current component I αwith β mould current component I βall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
In technique scheme, as described β mould current component I βor γ mould current component I γin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described β mould current component I βwith γ mould current component I γall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
In technique scheme, preferably, determining after line fault open-circuit line.
Fig. 2 shows the flow chart of the single phase earth connection relaying protective of the use three-phase current magnitude of voltage of the embodiment of the present invention.Single phase earth connection relaying protective in the present embodiment, has used the three-phase current magnitude of voltage of circuit.
In step 202, first obtain the three-phase current sampled value I of circuit a, I b, I c, obtain the three-phase voltage sampled value U of circuit simultaneously a, U b, U c.
In step 204, obtained three-phase current voltage sample value is carried out to phase-model transformation and obtain current temporary state traveling wave modulus and voltage transient traveling wave modulus, current temporary state traveling wave modulus can be zero mould current component I 0, α mould current component I α, β mould current component I β, wherein,
Voltage transient traveling wave modulus can be zero mode voltage component U 0, α mode voltage component U α, β mode voltage component U β, modulus is obtained by phase-model transformation by phasor, wherein,
In step 206, obtained modulus is carried out to wavelet transformation, obtain the wavelet conversion coefficient of each modulus, conversion adopts the derived function of three subcenter B-spline functions as wavelet function, wavelet coefficient sequence { h k} k ∈ z, { g k} k ∈ zfor:
{h k} k∈z=(0.125,0.375,0.375,0.125)(k=-1,0,1,2),
{g k} k?∈z=(-2,2)(k=0,1),
Adopt after above-mentioned wavelet transformation, the small echo that current temporary state traveling wave modulus i (n) can be decomposed into it approaches and wavelet transformation:
A 2 j i ( n ) = &Sigma; k h k A 2 j - 1 i ( n - 2 j - 1 k ) W 2 j i ( n ) = &Sigma; k g k A 2 j - 1 i ( n - 2 j - 1 k ) ,
In formula, for the small echo Coefficients of Approximation of current temporary state traveling wave modulus i (n), for the wavelet conversion coefficient of current temporary state traveling wave modulus i (n).
Adopt after above-mentioned wavelet transformation, voltage transient traveling wave modulus can resolve into following form:
A 2 j u ( n ) = &Sigma; k h k A 2 j - 1 u ( n - 2 j - 1 k ) W 2 j u ( n ) = &Sigma; k g k A 2 j - 1 u ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described voltage transient traveling wave modulus u (n), for the wavelet conversion coefficient of described voltage transient traveling wave modulus u (n).
In step 208, subsequently, the wavelet conversion coefficient of each electric current modulus and each voltage modulus is asked to modulus maximum, the modulus maximum of wavelet transformation is defined as:
For any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described current temporary state traveling wave modulus, the modulus maximum of wavelet conversion coefficient is actually the local maximum of wavelet conversion coefficient.The modulus maximum of current signal wavelet transformation has just represented the wave head polarity of the capable waveform of current temporary state.
For any given positive number ε > 0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described voltage transient traveling wave modulus, the modulus maximum of voltage signal wavelet transformation has just represented the wave head polarity of the capable waveform of voltage transient.
In step 210, the relatively wave head polar relationship of the capable ripple of current temporary state and the capable ripple of voltage transient.
In step 212, adopt the wave head polarity of zero mould current/voltage component, judge that whether both wave head polarity is contrary, be contrary in the situation that, proceed to step 216 in judged result, be identical in the situation that, proceed to step 218 in judged result.
In step 216, determine that this circuit breaks down.
In step 218, determine that this circuit does not break down.
In step 214, adopt the wave head polarity of line mould current/voltage component, judge that whether α mould current component and α mode voltage component wave head polarity is contrary and judge that whether β mould current component is contrary with β mode voltage component wave head polarity, be to have in the opposite polarity situation of wave head of any a pair of modulus in judged result, just enter step 220, in the case of judged result be the wave head polarity of two pairs of modulus all identical, just enter step 222.
In step 220, determine that this circuit breaks down.
In step 222, determine that this circuit does not break down.
By the embodiment shown in Fig. 2, obtain the three-phase current magnitude of voltage in circuit, obtain the wave head polarity of zero mould current component and zero mode voltage component or line mould current component and line mode voltage component, the wave head polarity that optionally compares correlated components, can judge whether circuit breaks down sensitive and reliably.
Fig. 3 shows the flow chart of the single phase earth connection relaying protective of the use zero-sequence current magnitude of voltage of the embodiment of the present invention.
Similar with the single phase earth connection relaying protective that Fig. 2 represents, difference is directly to obtain in this embodiment zero mould current component and zero mode voltage component.
In step 302, obtain zero mould current component value and zero mode voltage component value.
In step 304, zero mould current component and zero mode voltage component are carried out respectively to wavelet transformation, obtain wavelet conversion coefficient separately.Zero mould current/voltage after small wave converting method and conversion is similar to zero mould electric current and zero mode voltage after small wave converting method and the variation representing in Fig. 1, Fig. 2, is not repeating at this.
In step 306, try to achieve the wavelet modulus maxima of zero mould current component and zero mode voltage component, the method that obtains modulus maximum is similar to the embodiment shown in Fig. 2.
In step 308, obtain the wave head polarity of zero mould current component and zero mode voltage component, relatively both wave head polar relationships.
In step 310, judge that whether both wave head polarity is contrary, for be in the situation that, enter step 312 in judged result, be no in the situation that, enter step 314 in judged result.
In step 312, determine that this circuit breaks down.
In step 314, determine that this circuit does not break down.
According to the technical scheme shown in Fig. 3, directly obtain zero mould current component and zero mode voltage component, try to achieve the wave head polarity of zero mould current component and the wave head polarity of zero mode voltage component, by wave head polarity more between the two, can judge whether to break down sensitive and reliably.
Fig. 4 shows according to the flow chart of the single phase earth connection relaying protective of the use biphase current magnitude of voltage of the embodiment of the present invention.
The represented technical scheme of technical scheme in this embodiment and Fig. 2 and Fig. 3 is similar, and difference is, obtains biphase current magnitude of voltage, and hypothesis is obtained A, C biphase current and voltage in an embodiment.
As shown in Figure 4, in step 402, obtain biphase current sampled value I a, I cwith two-phase voltage sample value U a, U c.
In step 404, it is I that current sampling data is carried out to phase-model transformation γ, I β, it is U that voltage sample value is carried out to phase-model transformation γ, U β, wherein,
In step 406, γ mould current component and γ mode voltage component and β mould current component and β mode voltage component are carried out respectively to wavelet transformation, obtain wavelet conversion coefficient, concrete transform method is similar to the small wave converting method shown in Fig. 1, Fig. 2 and Fig. 3.
In step 408, obtain the wavelet conversion coefficient modulus maximum of electric current and voltage, according to the modulus maximum of electric current and voltage, obtain the wave head polarity of γ mould current component and γ mode voltage component and β mould current component and β mode voltage component, ask the method for modulus maximum to be similar to the method shown in Fig. 1, Fig. 2 and Fig. 3.
In step 410, relatively γ mould current component and the wave head polarity of γ mode voltage component and the wave head polarity of β mould current component and β mode voltage component.
In step 412, judge the wave head polarity of wave head polarity, β mould current component and the β mode voltage component of γ mould current component and γ mode voltage component, be to have in a pair of arbitrarily opposite polarity situation of wave head just to enter step 414 in judged result, be two pairs of wave head polarity all identical in the situation that in judged result, just enter step 416.
In step 414, determine that this circuit breaks down.
In step 416, determine that this circuit does not break down.
At this, it should be appreciated by those skilled in the art,, can move accordingly for fault whether after fault at definite circuit, such as but not limited to: in definite line fault actuating of relay in season, do not repeat them here.
To sum up, be directed to power network neutral point non-effectively earthed system single-phase earthing problem, technical scheme has according to an embodiment of the invention been proposed, carry out respectively wavelet transformation by the current temporary state traveling wave modulus to obtaining and voltage transient traveling wave modulus, try to achieve the modulus maximum of corresponding wavelet conversion coefficient, and determine the wave head polarity of current temporary state initial row ripple and voltage transient initial row ripple according to the wave head polarity of corresponding modulus maximum.By comparing current temporary state traveling wave modulus wave head polarity and voltage transient traveling wave modulus wave head polarity, determine whether circuit breaks down.
Simultaneously; propose although this method is the system with non effectively earth ed neutral one-phase ground protection problem that is difficult to effectively solve for existing method, the method is equally applicable to the system with effectively earthed neutral one-phase ground protection problem that existing method can solve.
The foregoing is only the preferred embodiments of the present invention, be not limited to the present invention, for a person skilled in the art, the present invention can have various modifications and variations.Within the spirit and principles in the present invention all, any amendment of doing, be equal to replacement, improvement etc., within all should being included in protection scope of the present invention.

Claims (7)

1. a single phase earth connection relaying protective, is characterized in that, comprising:
Step 102, obtains respectively the wave head polarity of current temporary state traveling wave modulus and the wave head polarity of voltage transient traveling wave modulus of circuit;
Step 104, compares the wave head polarity of the wave head polarity of described current temporary state traveling wave modulus and described voltage transient traveling wave modulus, in the opposite polarity situation of both wave heads, determines described single phase ground fault occurs;
Particularly, comprise in step 102:
Obtain respectively described current temporary state traveling wave modulus and the described voltage transient traveling wave modulus of circuit, described current temporary state traveling wave modulus and described voltage transient traveling wave modulus are carried out respectively to wavelet transformation, obtain respectively the wavelet conversion coefficient of described current temporary state traveling wave modulus and the wavelet conversion coefficient of described voltage transient traveling wave modulus;
Obtain the wavelet modulus maxima of electric current according to the wavelet conversion coefficient of described current temporary state traveling wave modulus, obtain the wavelet modulus maxima of voltage according to the wavelet conversion coefficient of described voltage transient traveling wave modulus; And
Determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described electric current, determine the wave head polarity of described current temporary state traveling wave modulus according to the wavelet modulus maxima of described voltage.
2. single phase earth connection relaying protective according to claim 1, is characterized in that, described wavelet transformation adopts the derived function of three subcenter B-spline functions as wavelet function, wavelet coefficient Xu Lie ﹛ h kk ∈ z, ﹛ g kk ∈ zfor:
﹛h kk∈z=(0.125,0.375,0.375,0.125)(k=-1,0,1,2),﹛g kk∈z=(-2,2)(k=0,1),
After described wavelet transformation, described current temporary state traveling wave modulus is resolved into following form:
A 2 j i ( n ) = &Sigma; k h k A 2 j - 1 i ( n - 2 j - 1 k ) W 2 j i ( n ) = &Sigma; k g k A 2 j - 1 i ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described current temporary state traveling wave modulus i (n), for the wavelet conversion coefficient of described current temporary state traveling wave modulus i (n);
After described wavelet transformation, described voltage transient traveling wave modulus is resolved into following form:
A 2 j u ( n ) = &Sigma; k h k A 2 j - 1 u ( n - 2 j - 1 k ) W 2 j u ( n ) = &Sigma; k g k A 2 j - 1 u ( n - 2 j - 1 k ) ,
Wherein, for the small echo Coefficients of Approximation of described voltage transient traveling wave modulus u (n), for the wavelet conversion coefficient of described voltage transient traveling wave modulus u (n).
3. single phase earth connection relaying protective according to claim 2, is characterized in that, for any given positive number ε >0, when meeting | and n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described current temporary state traveling wave modulus;
For any given positive number ε >0, when meeting | n-n 0| when < ε, to n ≠ n arbitrarily 0, have set up, be called the modulus maximum of the described wavelet conversion coefficient of described voltage transient traveling wave modulus.
4. according to the single phase earth connection relaying protective described in any one in claims 1 to 3, it is characterized in that, described current temporary state traveling wave modulus comprises zero mould current component I 0, α mould current component I α, β mould current component I βwith γ mould current component I γin any or its combination, described voltage transient traveling wave modulus comprises zero mode voltage component U 0, α mode voltage component U α, β mode voltage component U βwith γ mode voltage component U γin any or its combination.
5. single phase earth connection relaying protective according to claim 4, is characterized in that, described zero mould current component I 0with described zero mode voltage component U 0wave head polarity when contrary, determine described line fault, otherwise, determine that described circuit does not break down.
6. single phase earth connection relaying protective according to claim 4, is characterized in that, as described α mould current component I αor β mould current component I βin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described α mould current component I αwith β mould current component I βall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
7. single phase earth connection relaying protective according to claim 4, is characterized in that, as described β mould current component I βor γ mould current component I γin any one when contrary with the wave head polarity of corresponding voltage transient traveling wave modulus, determine described line fault; If, described β mould current component I βwith γ mould current component I γall identical with the wave head polarity of corresponding voltage transient traveling wave modulus, determine that described circuit does not break down.
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