CN111596166A - Method for quickly estimating low-frequency oscillation impact current of ungrounded system of power distribution network - Google Patents
Method for quickly estimating low-frequency oscillation impact current of ungrounded system of power distribution network Download PDFInfo
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- CN111596166A CN111596166A CN202010395108.0A CN202010395108A CN111596166A CN 111596166 A CN111596166 A CN 111596166A CN 202010395108 A CN202010395108 A CN 202010395108A CN 111596166 A CN111596166 A CN 111596166A
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/088—Aspects of digital computing
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
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Abstract
The invention relates to a method for quickly estimating low-frequency oscillation impact current of an ungrounded system of a power distribution network, which comprises the steps of carrying out a no-load excitation characteristic test on the ungrounded system of the power distribution network, and calculating single-phase ground capacitance and PT primary winding inductance of the system by using test data; calculating resonance frequency and judging whether low-frequency oscillation is possible to occur or not; the system after single-phase grounding and elimination is equivalent to a steady-state loop and a transient-state loop, and the steady-state loop current and the transient-state loop current are respectively calculated; simultaneously taking the maximum value of the steady-state loop current and the transient-state loop current, and calculating the amplitude of the low-frequency oscillation single-phase impact current; and calculating the low-frequency oscillation attenuation time. The invention has reasonable design, can realize the function of quickly calculating the amplitude, the frequency and the attenuation time of the low-frequency oscillation impact current within 5 minutes by utilizing the circuit superposition principle and aiming at the single-phase ground capacitance and the PT primary winding inductance of different systems, thereby completing the quick and effective evaluation of the low-frequency oscillation damage.
Description
Technical Field
The invention belongs to the technical field of power distribution networks, relates to an ungrounded system of a power distribution network, and particularly relates to a method for quickly estimating low-frequency oscillation impact current of the ungrounded system of the power distribution network.
Background
In the ungrounded system of the power distribution network, the single-phase to-ground capacitance of the system is continuously increased along with the continuous increase of lines, and when the single-phase grounding disappears or the intermittent arc grounding occurs in the system, the single-phase to-ground capacitance is stored in the normal to-ground capacitance C0The electric field energy in the transformer can be released only through a Potential Transformer (PT), so that the PT iron core is easily saturated, and low-frequency oscillation is caused.
Since the impact current of low frequency oscillation easily causes the primary fuse of PT to blow, even leads to PT destruction, it is necessary to evaluate the low frequency oscillation current quickly and accurately. At present, methods such as simulation calculation, laboratory simulation test and the like are mainly adopted for evaluation and analysis of low-frequency oscillation current, and single-phase to ground capacitance C of the system is in ungrounded systems of different power distribution networks0Primary winding inductor L of Potential Transformer (PT)0The equal parameter difference is large, the simulation calculation and the simulation test have no universality, the operation process is complex, and the low-frequency oscillation is difficult to quickly and effectively evaluate.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a method for quickly estimating low-frequency oscillation impact current of a power distribution network ungrounded systemMethod of single phase to ground capacitance C for different systems by using the principle of circuit superposition0PT primary winding inductance L0And the function of quickly calculating the amplitude, the frequency and the attenuation time of the low-frequency oscillation impact current is realized, and the quick and effective evaluation on the low-frequency oscillation damage is further completed.
The technical problem to be solved by the invention is realized by adopting the following technical scheme:
a method for quickly estimating low-frequency oscillation impact current of an ungrounded system of a power distribution network comprises the following steps:
step 1, through a no-load excitation characteristic test of a distribution network ungrounded system, calculating a single phase-to-ground capacitance and a PT primary winding inductance of the system by using test data;
step 2, calculating the resonant frequency and judging whether low-frequency oscillation is possible according to the system single-phase-to-ground capacitance and PT primary winding inductance obtained by calculation in the step 1;
step 3, according to a circuit superposition principle, enabling the system which is grounded and eliminated in the single phase to be equivalent to a steady-state loop and a transient-state loop, and respectively calculating the current of the steady-state loop and the current of the transient-state loop;
step 4, simultaneously taking the maximum value of the steady-state loop current and the transient-state loop current, and calculating the amplitude of the low-frequency oscillation single-phase impact current;
and 5, calculating the low-frequency oscillation attenuation time.
Furthermore, the step 1 calculates the system single phase to ground capacitance C according to the following formula0：
C0＝I0/3ωU
Wherein, I0The system capacitance current test value is obtained;
ω is 2 pi f, f is the system frequency;
step 1, calculating the inductance L of the primary winding of PT according to the following formula0：
L0＝k2U2/ωI2
Wherein k is PT transformation ratio;
U2applying a voltage value to the PT secondary winding in a no-load excitation characteristic test;
I2the current value of the PT secondary winding in the no-load excitation characteristic test is shown.
Furthermore, the U is2And I2Respectively selecting PT primary voltage as
Secondary voltage and current values, U, corresponding to each othermThe maximum operating voltage of the system.
Moreover, the specific implementation method of the step 2 is as follows:
the resonant frequency f is calculated by the following formula1：
If f1If the frequency is more than or equal to 50Hz, judging that the system does not generate low-frequency oscillation, and stopping calculation;
if f1<And (5) judging that the system generates low-frequency oscillation at 50Hz, and continuing the next step.
Furthermore, the step 3 calculates the steady-state loop current and the transient-state loop current as:
⑴ calculating the steady-state loop current i1While ignoring the damping R and calculating i using the following equation1：
Wherein, ω is 2 pi f, and f is the system frequency;
⑵ calculating the transient loop current i2According to the principle of energy conversion between electric field and magnetic field, the initial currents of damping R and PT are ignored, and the following steps are utilizedFormula calculation of i2：
Wherein, UCThe maximum voltage value of the two ends of the single-phase ground capacitor of the system.
Moreover, the maximum value U of the voltage at two ends of the single-phase ground capacitor of the systemCTaking values according to the following field conditions:
in the first case: during fault analysis, determining a neutral point-to-ground voltage value of a system at the moment of fault elimination according to scheduling data or fault recording information;
in the second case: when the neutral point-to-ground voltage value of the system at the moment of fault elimination cannot be acquired on site, the most serious condition is considered, and the neutral point-to-ground voltage value is selected
And, the step 4 calculates the amplitude I of the low-frequency oscillation single-phase impact current according to the following formula:
I＝i1+i2
wherein i1For steady-state loop current, i2Is the transient loop current.
Further, the step 5 calculates the low frequency oscillation decay time τ according to the following equation:
τ＝2L0/R
wherein L is0PT primary winding inductance and R damping.
The invention has the advantages and positive effects that:
the invention has reasonable design, and calculates the system single-phase to ground capacitance C in the power distribution system through no-load excitation characteristic test data0PT primary winding inductance L0The calculation is simple and convenient, and is not restricted by a test site; and it uses the circuit superposition principle to aim at different system single phase to ground capacitance C0PT primary winding inductance L0The fast calculation function of the amplitude, the frequency and the decay time of the low-frequency oscillation impact current can be realized within 5 minutes, and then the pair is completedAnd (3) quickly and effectively evaluating the low-frequency oscillation damage.
Drawings
FIG. 1 is a flow chart of an estimation method of the present invention;
FIG. 2a is a schematic diagram of the circuit stacking principle of the present invention (steady state loop);
fig. 2b is a schematic diagram of the circuit superposition principle (transient loop) of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
A method for rapidly estimating a low-frequency oscillation impact current of an ungrounded system of a power distribution network is shown in figure 1 and comprises the following steps:
step 1, carrying out no-load excitation characteristic test on a distribution network ungrounded system, and calculating a single-phase-to-ground capacitor C of the system by using test data0PT primary winding inductance L0。
(1) Calculating the system single phase to ground capacitance C as follows0：
C0＝I0/3ωU
Wherein, I0The system capacitance current test value is obtained;
ω is 2 pi f, f is the system frequency;
(2) PT primary winding inductance L is calculated by using the following formula0：
L0＝k2U2/ωI2
Wherein k is PT transformation ratio;
U2applying a voltage value to the PT secondary winding in a no-load excitation characteristic test;
I2the current value of the PT secondary winding flowing through the no-load excitation characteristic test is obtained;
taking into account the influence of saturation characteristics of PT core, U2And I2Respectively selecting PT primary voltage as
The corresponding secondary voltage and current values.
Wherein, UmThe maximum operating voltage of the system.
Step 2, calculating the obtained system single phase-to-ground capacitance C according to the step 10PT primary winding inductance L0And judging whether low-frequency oscillation is possible or not. The specific method comprises the following steps:
the resonant frequency f is calculated by the following formula1：
If f1If the frequency is more than or equal to 50Hz, judging that the system does not generate low-frequency oscillation, and stopping calculation;
if f1<And (5) judging that the system generates low-frequency oscillation at 50Hz, and continuing the next step.
Step 3, according to the circuit superposition principle, the system which is grounded and eliminated in the single phase is equivalent to two circuits which are respectively a steady-state circuit and a transient-state circuit as shown in fig. 2a and fig. 2b, and the steady-state circuit current i is respectively calculated1And a transient loop current i2。
(1) In calculating the steady-state loop current i1While ignoring the damping R and calculating i using the following equation1：
Wherein, ω is 2 pi f, and f is the system frequency;
(2) In calculating the transient loop current i2In the time, according to the energy conversion principle of an electric field-magnetic field, neglecting damping R and PT initial current, and calculating i by using the following formula2：
Wherein, UCThe maximum value of the voltage at two ends of the single-phase ground capacitor of the system is obtained;
UCthe values can be taken according to the following situations on site:
case 1: during fault analysis, determining a neutral point-to-ground voltage value of a system at the moment of fault elimination according to scheduling data or fault recording information;
case 2: when the neutral point-to-ground voltage value of the system at the moment of fault elimination cannot be acquired on site, the most serious condition is considered, and the neutral point-to-ground voltage value is selected
Step 4, considering the most serious condition, namely the current i of the steady-state loop1And a transient loop current i2Meanwhile, taking the maximum value, and calculating the amplitude I of the low-frequency oscillation single-phase impact current according to the following formula:
I＝i1+i2
and 5, calculating the low-frequency oscillation attenuation time tau by using the following formula:
τ＝2L0/R。
through the steps, the harm of low-frequency oscillation can be quickly and effectively evaluated.
It should be emphasized that the embodiments described herein are illustrative rather than restrictive, and thus the present invention is not limited to the embodiments described in the detailed description, but also includes other embodiments that can be derived from the technical solutions of the present invention by those skilled in the art.
Claims (8)
1. A method for quickly estimating low-frequency oscillation impact current of a distribution network ungrounded system is characterized by comprising the following steps:
step 1, through a no-load excitation characteristic test of a distribution network ungrounded system, calculating a single phase-to-ground capacitance and a PT primary winding inductance of the system by using test data;
step 2, calculating the resonant frequency and judging whether low-frequency oscillation is possible according to the system single-phase-to-ground capacitance and PT primary winding inductance obtained by calculation in the step 1;
step 3, according to a circuit superposition principle, enabling the system which is grounded and eliminated in the single phase to be equivalent to a steady-state loop and a transient-state loop, and respectively calculating the current of the steady-state loop and the current of the transient-state loop;
step 4, simultaneously taking the maximum value of the steady-state loop current and the transient-state loop current, and calculating the amplitude of the low-frequency oscillation single-phase impact current;
and 5, calculating the low-frequency oscillation attenuation time.
2. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 1, wherein the method comprises the following steps: the step 1 calculates the single phase-to-ground capacitance C of the system according to the following formula0：
C0＝I0/3ωU
Wherein, I0The system capacitance current test value is obtained;
ω is 2 pi f, f is the system frequency;
step 1, calculating the inductance L of the primary winding of PT according to the following formula0：
L0＝k2U2/ωI2
Wherein k is PT transformation ratio;
U2applying a voltage value to the PT secondary winding in a no-load excitation characteristic test;
I2the current value of the PT secondary winding in the no-load excitation characteristic test is shown.
3. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 2, wherein the method comprises the following steps: the U is2And I2Respectively selecting PT primary voltage as
Secondary voltage and current values, U, corresponding to each othermThe maximum operating voltage of the system.
4. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 1, wherein the method comprises the following steps: the specific implementation method of the step 2 comprises the following steps:
the resonant frequency f is calculated by the following formula1：
If f1If the frequency is more than or equal to 50Hz, judging that the system does not generate low-frequency oscillation, and stopping calculation;
if f1<And (5) judging that the system generates low-frequency oscillation at 50Hz, and continuing the next step.
5. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 1, wherein the method comprises the following steps: step 3, calculating the steady-state loop current and the transient-state loop current as follows:
⑴ calculating the steady-state loop current i1While ignoring the damping R and calculating i using the following equation1：
Wherein, ω is 2 pi f, and f is the system frequency;
⑵ calculating the transient loop current i2In the time, according to the energy conversion principle of an electric field-magnetic field, neglecting damping R and PT initial current, and calculating i by using the following formula2：
Wherein, UCThe maximum voltage value of the two ends of the single-phase ground capacitor of the system.
6. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 5, wherein the method comprises the following steps: the maximum value U of the voltage at two ends of the single-phase ground capacitor of the systemCTaking values according to the following field conditions:
in the first case: during fault analysis, determining a neutral point-to-ground voltage value of a system at the moment of fault elimination according to scheduling data or fault recording information;
in the second case: when the neutral point-to-ground voltage value of the system at the moment of fault elimination cannot be acquired on site, the most serious condition is considered, and the neutral point-to-ground voltage value is selected
7. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 1, wherein the method comprises the following steps: step 4, calculating the amplitude I of the low-frequency oscillation single-phase impact current according to the following formula:
I＝i1+i2
wherein i1For steady-state loop current, i2Is the transient loop current.
8. The method for rapidly estimating the low-frequency oscillation impact current of the ungrounded system of the power distribution network according to claim 1, wherein the method comprises the following steps: step 5 is to calculate the low-frequency oscillation decay time tau according to the following formula:
τ＝2L0/R
wherein L is0PT primary winding inductance and R damping.
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