The invention relates to the field of power transmission, and more particularly to a voltage based method for fault identification in a transmission line and apparatus thereof when the transmission line occurs a single-phase fault.
For a transmission line, there generally exist two types of faults, i.e. a permanent fault and a temporary fault, in which about 90% of the faults are single-phase faults, and over 80% of the single-phase faults are temporary faults. Auto-reclosing the circuit breaker (CB) is a generally effective way to improve the stability and continuity of a power system. However, if a transmission line with a permanent fault is auto-reclosed, some risks may be arisen, for example the primary devices may be damaged, device insulation can be destroyed, the system stability may be threatened, and no continuous current can be supplied stably. So it is very important and desirable for customers to distinguish temporary faults from permanent faults in a transmission line.
At present, some methods have been proposed to distinguish these two kinds of faults to avoid auto-reclosing the CB in the case of permanent fault occurrence. Among them, the method based on the mutual voltage (i.e. capacitive coupling voltage) is extensively adopted, whose basic principle can be described as following.
The steady state voltage Uy caused by capacitive coupling can be calculated according to the following equation (1):
In which b0 and b1 are the zero sequence and positive sequence capacitive susceptance per unit line length of the transmission line respectively; {dot over (U)}A represents phase A voltage vector;
The inductive voltage UXL on the opened phase A conductor can be calculated according to the following equation (2):
{dot over (U)}
XL=(İB+İC)ZmL=(İB+İC)(Z0−Z1)L/3={dot over (U)}XL (2)
in which IB and IC are the currents of the unbroken healthy phase conductors phase B and C respectively; Z0 and Z1 are the zero sequence and positive sequence impedance of the protected transmission line respectively; Zm is the mutual inductance impedance per unit line length; L is the length of the transmission line; {dot over (U)}X represents inductive voltage per unit line length.
It's obvious to the skilled person that the capacitive coupling voltage Uy is the voltage of phase A to ground, and independent of the line length and the load. While the inductive voltage UXL is longitudinal along the conductor and proportional to the load current and line length. Then the terminal voltage UAMT and UANT magnitudes on the opened phase conductor can be calculated according to the following equation (3) and (4) respectively:
U
AMT=√{square root over (Uy2+(UXL/2)2−UyUXL cos(θ+π/2))}{square root over (Uy2+(UXL/2)2−UyUXL cos(θ+π/2))} (3)
U
ANT=√{square root over (Uy2+(UXL/2)2−UyUXL cos(−θ+π/2))}{square root over (Uy2+(UXL/2)2−UyUXL cos(−θ+π/2))} (4)
In which θ is power factor and subscript ‘T’ means temporary fault.
a illustrates an equivalent circuit diagram about the temporary fault voltage on the opened phase conductor terminals, and
According to above principle, the distinguishing method based on the mutual voltage (i.e. capacitive coupling voltage) offers three criterions as below:
1) Voltage criterion (if Uy≧k1*UMXL):
U≧K
1
U
MXL (5)
In which U is the voltage value measured at the end of opened phase conductor; K1 is a reliability coefficient; and UMXL, is the inductive voltage UXL at the maximum load condition.
This inequality (5) means that if the measured voltage U is above or equivalent to the predefined threshold, a transient fault can be determined
2) Compensation voltage criterion (if k1*UMXL>Uy>=k1*UMXL/2):
It will be obvious to the skilled person that the inductive voltage is dependent on the load current and length of the line from the equation (2). For a long transmission line with heavy load, previous voltage criterion 1 will represent an unsatisfied performance, that's to say, the criterion 1 cannot distinguish the fault; consequently a revised criterion 2 compensation criterion is described as follow:
In which K2 is a reliability coefficient; and when this inequality (6) comes into existence in the case of a long transmission line with heavy load, the fault is determined as a transient fault.
3) Composed voltage criterion (if k1*UMXL/2>Uy):
The composed voltage criterion 3 can be described as follow:
In which K3 is a reliability coefficient; and when these two inequalities are met simultaneously, the transient fault is identified.
According to the prior arts about the reclosing technique, existed solutions including above mentioned method generally represents good performance in distinguishing a permanent fault from a transient fault in the majority of operational conditions, but for some special conditions such as: the fault in a short transmission line, the fault with high fault resistance or the fault with heavy load, its performance will be degraded and the fault identification will be inaccurate even wrong. That means such drawback decreases the reliability of adaptive re-closure technique, and customers cannot be thoroughly convinced of utilizing this adaptive re-closure strategy to reclosing the CBs safely.
To overcome above mentioned shortcomings, the present invention provides a voltage based method for fault identification in a transmission line and apparatus thereof.
According to an embodiment of the present invention, a voltage based method for fault identification in a transmission line is provided. The method comprises: measuring the real-time values of the currents and the voltages of the other unbroken healthy phase conductors when a single-phase fault occurs; calculating the inductive voltage and the capacitive coupling voltage according to the measured currents and voltages respectively; comparing the capacitive coupling voltage with the inductive voltage multiplied by a factor, in which the multiplication result is used as a self-adjusted threshold based on the real time load condition of the transmission line; and identifying the fault type based on the maximum of the capacitive coupling voltage and the multiplication result.
According to a preferred embodiment of the present invention, if the capacitive coupling voltage is larger than the multiplication result, measuring the terminal voltage at the terminal of the opened phase conductor, selecting the maximum multiplication result between the inductive voltage multiplied by a second factor and the capacitive coupling voltage multiplied by a third factor, comparing the terminal voltage with the maximum; and identifying that the fault is a transient fault if the terminal voltage is larger than the maximum, otherwise the fault is a permanent fault.
According to a preferred embodiment of the present invention, if the capacitive coupling voltage is less than the multiplication result, said method further comprises the following steps: measuring the terminal voltage at the terminal of the opened phase conductor; selecting the maximum multiplication result between the inductive voltage multiplied by a forth factor and the capacitive coupling voltage multiplied by a fifth factor; comparing the terminal voltage subtracted half of the inductive voltage with the maximum multiplication result as well as the terminal voltage added half of the inductive voltage with the maximum multiplication result; and identifying that the fault is a transient fault if the subtraction result and the addition result are larger than the maximum multiplication result; otherwise the fault is a permanent fault.
According to a preferred embodiment of the present invention, in the case of phase A fault, said inductive voltage UX is calculated according to the measured currents IB and IC by the following equation:
in which IB and IC are the currents of the unbroken healthy phase conductors phase B and C respectively, Z0 and Z1 are the zero sequence and positive sequence impedance of the protected transmission line respectively; and in the case of phase B fault or phase C fault, corresponding currents of the unbroken healthy phase conductors are measured and utilized to calculate the inductive voltage.
According to a preferred embodiment of the present invention, in case of phase A fault, said capacitive coupling voltage UM is calculated according to the measured voltages UB and UC by the following equation:
in which UB and UC are the voltages of the unbroken healthy phase conductors phase B and C respectively, b0 and b1 are the zero sequence and positive sequence capacitive susceptance per unit line length of the transmission line respectively; and in the case of phase B fault or phase C fault, corresponding voltages of the unbroken healthy phase conductors are measured and utilized to calculate the capacitive coupling voltage.
According to a preferred embodiment of the present invention, said factors are on the basis of the length and the load of the transmission line.
According to a preferred embodiment of the present invention, said factors are dynamically adjusted on the basis of the length and the load of the transmission line.
According to a preferred embodiment of the present invention, said method can distinguish a permanent fault and a transient fault in the case of power flow direction conversion of the transmission line.
According to another embodiment of the present invention, an apparatus for fault identification in a transmission line is provided. Said apparatus comprises: a measurement unit, adapted configured to measure the real-time values of the currents and the voltages of the other unbroken healthy phase conductors when a single-phase fault occurs; and measure the terminal voltage Uf at the terminal of the opened phase conductor; a calculation unit configured to calculate the inductive voltage and capacitive coupling voltage according to the measured currents and voltages respectively; a comparison unit configured to compare the capacitive coupling voltage with the inductive voltage multiplied by a factor, in which the multiplication result is used as a self-adjusted threshold based on the real time load condition of the transmission line; and an identification unit configured to identify that the fault type based on the maximum of the capacitive coupling voltage and the multiplication result.
According to a preferred embodiment of the present, the comparison unit is further configured to select the maximum multiplication result between the inductive voltage multiplied by a second factor and the capacitive coupling voltage multiplied by a third factor, and compare the terminal voltage with the maximum; and the identification unit is further configured to identify that the fault is a transient fault if the capacitive coupling voltage is larger than the multiplication result and the terminal voltage is larger than the maximum, or the fault is a permanent fault if the capacitive coupling voltage is larger than the multiplication result and the terminal voltage is less than the maximum.
According to a preferred embodiment of the present, the comparison unit is further adapted to select the maximum multiplication result between the inductive voltage multiplied by a forth factor and the capacitive coupling voltage multiplied by a fifth factor; and compare the terminal voltage subtracted half of the inductive voltage with the maximum multiplication result as well as the terminal voltage added half of the inductive voltage with the maximum multiplication result; the identification unit is further adapted to identify that the fault is a transient fault if the subtraction result and the addition result are larger than the maximum multiplication result; otherwise the fault is a permanent fault.
According to a preferred embodiment of the present invention, in the case of phase A fault, said inductive voltage UX is calculated according to the measured currents IB and IC by the following equation:
in which IB and IC are the currents of the unbroken healthy phase conductors phase B and C respectively, Z0 and Z1 are the zero sequence and positive sequence impedance of the protected transmission line respectively; and in the case of phase B fault or phase C fault, corresponding currents of the unbroken healthy phase conductors are measured and utilized to calculate the inductive voltage.
According to a preferred embodiment of the present invention, in case of phase A fault, said capacitive coupling voltage UM is calculated according to the measured voltages UB and UC by the following equation:
in which UB and UC are the voltages of the unbroken healthy phase conductors phase B and C respectively, b0 and b1 are the zero sequence and positive sequence capacitive susceptance per unit line length of the transmission line respectively; and in the case of phase B fault or phase C fault, corresponding voltages of the unbroken healthy phase conductors are measured and utilized to calculate the capacitive coupling voltage.
According to a preferred embodiment of the present invention, said factors are on the basis of the length and the load of the transmission line.
According to a preferred embodiment of the present invention, said factors are dynamically adjusted on the basis of the length and the load of the transmission line.
According to a preferred embodiment of the present invention, said apparatus can distinguish a permanent fault and a transient fault in the case of power flow direction conversion of the transmission line.
An embodiment of the present invention provides a method for fault identification in a transmission line and apparatus thereof, which reliably distinguish a temporary fault (i.e. a transient fault) from a permanent fault in the case of a single-phase fault. Such method and apparatus for fault identification can be extensively adopted under all kinds of operation conditions with high accuracy, especially the extreme fault conditions such as a fault with high resistance or heavy load and so on. Consequently such method and apparatus of the present invention can avoid the reclosing of a circuit breaker when the fault is a permanent fault.
The subject matter of the invention will be explained in more details in the following description with reference to preferred exemplary embodiments which are illustrated in the drawings, in which:
a illustrates an equivalent circuit diagram about the temporary fault voltage on the opened phase conductor terminals, and
Exemplary embodiments of the present invention are described in conjunction with the accompanying drawings hereinafter. For the sake of clarity and conciseness, not all the features of actual implementations are described in the specification.
The method of the present invention aims to reliably distinguish a temporary fault (i.e. a transient fault) from a permanent fault in the case of a single-phase fault, especially under all kinds of operation conditions with high accuracy such as a fault with high resistance or heavy load and so on. Furthermore such method and apparatus of the present invention can avoid the reclosing of a circuit breaker when the fault is a permanent fault. The following embodiments will be illustrated in the case of phase A fault, it will be appreciated to the skilled person that the present invention can be modified to identify the fault types (distinguishing the permanent fault from the transient fault) in the case of phase B fault or phase C fault.
As shown in
Step 302, when a single phase fault occurs, measuring the real-time values of the currents and the voltages of the other unbroken healthy phase conductors. For example, in the case of phase A fault, measuring the real-time currents IB and IC, as well as voltages UB and UC;
In step 304, calculating the inductive voltage UX and capacitive coupling voltage UM according to the measured currents and voltages respectively;
As an example, the inductive voltage UX is calculated according to the measured currents IB and IC by the following equation:
in which IB and IC are the currents of the unbroken healthy phase conductors phase B and C respectively after the circuit breaker is open, Z0 and Z1 are the zero sequence and positive sequence impedance of the protected transmission line respectively; and in the case of phase B fault or phase C fault, corresponding currents of the unbroken healthy phase conductors are measured and utilized to calculate the inductive voltage UX. It's obvious to the skilled person that values of the currents (IB and IC) mainly lies on the length and the load of the transmission line, hence the amplitude of the inductive voltage UX depends on the length and the load of the transmission line.
The capacitive coupling voltage UM is calculated according to the measured voltages UB and UC by the following equation:
in which UB and UC are the voltages of the unbroken healthy phase conductors phase B and C respectively after the circuit breaker is open, b0 and b1 are the zero sequence and positive sequence capacitive susceptance per unit line length of the transmission line respectively; and in the case of phase B fault or phase C fault, corresponding voltages of the unbroken healthy phase conductors are measured and utilized to calculate the capacitive coupling voltage UM.
In step 306, comparing the capacitive coupling voltage UM with the inductive voltage UX multiplied by a factor (for example, a reliability coefficient K1, which is determined on the basis of the length and the load of the transmission line), in which the multiplication result is used as a self-adjusted threshold based on the real time load condition of the transmission line. That is, whether the amplitude of UM (|UM|) is larger than the multiplication result (K1*|UX|), i.e. the following inequality:
|Um|>K1*|UX| (10)
The present invention provide a method for fault identification in a transmission line, what's more, the voltage criteria do not need to be predefined the presumption, such as maximum load of the system etc. Due to real time inductive voltage defined by the load currents, preceding voltage criteria have high reliability even for the fault with high fault resistance or with heavy load condition. Based on the maximum of the capacitive coupling voltage and the multiplication result, the method can identify the fault type: a transient fault or a permanent fault. For example, an implementation can be performed as follows:
If the comparison result shows that the UM is larger than the multiplication result, i.e. the inequality (10) comes into existence, perform step 308: measuring the terminal voltage Uf at the terminal of the opened phase conductor.
Step 310, selecting the maximum multiplication result between the UX multiplied by a second factor and the UM multiplied by a third factor; for example, the second factor can be a reliability coefficient K2 and the third factor can be a reliability coefficient K3; corresponding multiplication results are (K2*|UX|) and (K3*|UM|) respectively.
Step 312, comparing the amplitude of Uf (|Uf|) with the maximum; i.e. the following inequality:
|Uf|>max{K2*|UX|,K3*|UM|} (11)
As shown in step 314, if the Uf is larger than the maximum, i.e. matching the inequality (11), the fault is identified as a transient fault. Otherwise the fault is determined to be a permanent fault. It's obvious to the skilled person that the voltage criterion (i.e. inequality (11)) also adapts to distinguish the fault types in the condition of load/zero load. In the case of a zero load, the UX is zero, and such voltage criterion can be simplified to determine whether |Uf|>max {K3*|UM|}
If the UM is less than the multiplication result, i.e. it doesn't match the inequality (10), perform the following steps:
Step 309, measuring the terminal voltage Uf at the terminal of the opened phase conductor;
Step 311, selecting the maximum multiplication result between the UX multiplied by a forth factor and UM multiplied by a fifth factor; for example, the forth factor can be a reliability coefficient K4 and the fifth factor can be a reliability coefficient K5; corresponding multiplication results are (K4*|UX|) and (K5*|UM|) respectively.
Step 313, comparing the Uf subtracted the
with the maximum multiplication result as well as the Uf added the
with the maximum multiplication result; i.e. the following inequalities:
If the inequalities come into existence, that's the subtraction result and the addition result are larger than the maximum multiplication result simultaneously; performing step 314: the fault is determined to be a transient fault. otherwise the fault is a permanent fault.
According to an embodiment of the present invention, the reliability coefficients K1-K5 are predefined on the basis of the length and load of the transmission line. Furthermore, according to a preferred embodiment of the present invention, the reliability coefficients K2-K5 are dynamic adjusted on the basis of the length and load of the transmission line.
According to an embodiment of the present invention, the step 308 and 309 (i.e. measuring the terminal voltage Uf at the terminal of the opened phase conductor) can be performed in the same step so as to simplify the flowchart; for example, measuring the voltages UB, UC and Uf in step 302 simultaneously.
An embodiment of the present invention provides a method for fault identification in a transmission line, which has two highlights compared with the prior arts. Firstly, the amplitude of the inductive voltage UX is real-timely calculated and variable due to currents (IB and IC depend on the length and the load of the transmission line), so that the threshold of voltage criterion is not fixed and self-adjusted based on the real time load condition of transmission line. The other improvement is the voltage criterion (inequalities (12) and (13)) is modified for taking care of power flow direction.
In order to validate the improvements of the present invention, simulation tests have been done by comparing the performance between the existed method and this present method, some single-phase fault cases are simulated with different fault conditions.
A simulated system considered as the testing model is shown in
The simulation results are shown in the following figures.
a illustrates the simulated result based on prior arts in the condition of permanent phase A fault. It can be seen that the measured voltage on the opened phase A is bigger than the threshold (inductive voltage with maximum load condition) according to the existing voltage criterion (i.e. inequality (5)), so the fault will be determined wrongly as a transient fault. Generally, the fault is determined as a transient fault, the circuit breaker can be reclosed without damage to the system. Once the circuit breaker is reclosed or auto-reclosed in the condition of transmission line with a permanent fault, the primary devices may be damaged, and the system stability will be threatened.
b illustrates the simulated result based on an embodiment of the present invention with self-adjusted voltage threshold. Due to the variable voltage criterion on the basis of the self-adjusted threshold, the measured voltage is less than the optimum threshold (i.e. max{K2*|UX|, K3*|UM|}). So the fault will be detected as the permanent fault. That's to say, no wrong prediction occurs under this extreme conditions.
a illustrates the simulated result based on prior arts. It can be seen that the compensated voltage on the opened phase A is bigger than the threshold (half of the inductive voltage with maximum load condition) according to the existing voltage criterion (i.e. inequality (6)), so the fault will be detected wrongly as a transient fault. Once the transmission line with a permanent fault is reclosed or auto-reclosed, the primary devices may be damaged, and the system stability will be threatened.
b illustrates the simulated result based on an embodiment of the present invention with self-adjusted voltage threshold. Due to the variable voltage criterion on the basis of the self-adjusted threshold, the compensated voltage1 (i.e.
and compensated voltage2 (i.e.
are less than the optimum threshold (i.e. max{K4*|UX|, K5*|UM|}). So the fault will be determined as the permanent fault. That's to say, no wrong prediction occurs under this extreme conditions.
An embodiment of the present invention provides a method for fault identification in a transmission line, which improves the precision of distinguishing permanent fault and transient fault under all operation conditions, especially extreme fault condition such as fault with high resistance or with heavy load and so on. With precise prediction of the present invention, the circuit breakers can be safely reclosed in the case of transient fault, especially auto-reclosed, and do not in the case of permanent fault.
The principle and method are simple and clear. It's easy to be implemented by the existing platforms.
As shown in
The measurement unit 702 is configured to measure the real-time values of the currents and the voltages of the other unbroken healthy phase conductors when a single-phase fault occurs; and measure the terminal voltage Uf at the terminal of the opened phase conductor.
The calculation unit 704 is configured to calculate the inductive voltage UX and capacitive coupling voltage UM according to the measured currents and voltages respectively.
The comparison unit 706 is configured to compare the capacitive coupling voltage UM with the inductive voltage UX multiplied by a reliability coefficient K1, in which the multiplication result is used as a self-adjusted threshold based on the real time load condition of the transmission line
The identification unit 708 is configured to identify the fault type: a transient fault or a permanent fault, based on the maximum of the capacitive coupling voltage and the multiplication result.
According to a preferred embodiment of the present, the comparison unit 706 is further configured toselect the maximum multiplication result between the UX multiplied by a reliability coefficient K2 and the UM multiplied by a reliability coefficient K3, and compare the Uf with the maximum; and the identification unit 708 is configured to identify that the fault is a transient fault if the UM is larger than the multiplication result and the Uf is larger than the maximum, or the fault is a permanent fault if the UM is larger than the multiplication result and the Uf is less than the maximum.
According to a preferred embodiment of the present, the comparison unit 706 is further adapted to select the maximum multiplication result between the UX multiplied by a reliability coefficient K4 and the UM multiplied by a reliability coefficient K5; and compare the Uf subtracted UX/2 with the maximum multiplication result as well as the Uf added Ux/2 with the maximum multiplication result; the identification unit is further adapted to identify that the fault is a transient fault if the subtraction result and the addition result are larger than the maximum multiplication result; otherwise the fault is a permanent fault.
According to a preferred embodiment of the present invention, in the case of phase A fault, said inductive voltage UX is calculated according to the measured currents IB and IC by the following equation:
in which IB and IC are the currents of the unbroken healthy phase conductors phase B and C respectively after the circuit breaker is open, Z0 and Z1 are the zero sequence and positive sequence impedance of the protected transmission line respectively; and in the case of phase B fault or phase C fault, corresponding currents of the unbroken healthy phase conductors are measured and utilized to calculate the inductive voltage UX.
According to a preferred embodiment of the present invention, in case of phase A fault, said capacitive coupling voltage UM is calculated according to the measured voltages UB and UC by the following equation:
in which UB and UC are the voltages of the unbroken healthy phase conductors phase B and C respectively after the circuit breaker is open, b0 and b1 are the zero sequence and positive sequence capacitive susceptance per unit line length of the transmission line respectively; and in the case of phase B fault or phase C fault, corresponding voltages of the unbroken healthy phase conductors are measured and utilized to calculate the capacitive coupling voltage UM.
According to a preferred embodiment of the present invention, said reliability coefficients K1-K5 are predefined on the basis of the length and load of the transmission line.
According to a preferred embodiment of the present invention, said reliability coefficients K1-K5 are dynamically adjusted on the basis of the length and load of the transmission line.
According to a preferred embodiment of the present invention, said apparatus can distinguish a permanent fault and a transient fault in the case of power flow direction conversion of the transmission line.
An embodiment of the present invention provides an apparatus for fault identification in a transmission line, which improves the precision of distinguishing permanent fault and transient fault under all operation conditions, especially a fault with high resistance or with heavy load and so on. With precise prediction by means of the present invention, the circuit breakers can be safely reclosed in the case of transient fault, especially auto-reclosed, and avoid the reclosing of a circuit breaker due to the wrong prediction when the fault is a permanent fault.
Such embodiments of the present invention provide methods for fault identification in a transmission line and apparatuses thereof, which can be utilized in various conditions with different lengths of the transmission line. What's more, the voltage criteria do not need to be predefined the presumption, such as maximum load of the system etc. The voltage criteria of this present invention have high reliability even for the fault with high fault resistance (e.g. 300 ohm) or with heavy load condition (e.g. 40 Deg).
Though the present invention has been described on the basis of some preferred embodiments, those skilled in the art should appreciate that those embodiments should by no means limit the scope of the present invention. Without departing from the spirit and concept of the present invention, any variations and modifications to the embodiments should be within the apprehension of those with ordinary knowledge and skills in the art, and therefore fall in the scope of the present invention which is defined by the accompanied claims.
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/CN2011/071887 | 3/17/2011 | WO | 00 | 7/29/2013 |