CN105548805A - Critical impedance method-based bilateral harmonic source identification and localization method - Google Patents
Critical impedance method-based bilateral harmonic source identification and localization method Download PDFInfo
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Abstract
The invention relates to a critical impedance method-based bilateral harmonic source identification and localization method. The method includes the following steps that: S1, user side harmonic impedance and system side harmonic impedance in a power system are obtained; harmonic voltage and harmonic current on a PCC point are measured, and a user side harmonic voltage source and a system side harmonic voltage source are obtained through calculation; S2, the power system is equivalent to a bilateral harmonic source equivalent loop, critical impedance is found out, and bilateral harmonic total impedance value of the bilateral harmonic source equivalent loop is calculated according to the critical impedance; and S3, the system side harmonic impedance and the user side harmonic impedance are both regarded as reactance, the impedance value of the power system is calculated, the impedance value is compared with the bilateral harmonic total impedance value, if the doubled impedance value is greater than the bilateral harmonic total impedance value, the system side voltage source is a main harmonic source, if the doubled impedance value is smaller than the bilateral harmonic total impedance value, the user side voltage source is a main harmonic source.
Description
[technical field]
The present invention relates to a kind of bilateral harmonic source based on critical impedance method and differentiate the method with location.
[background technology]
In electric power system, harmonic wave is generally defined as the periodically variable sine wave of fundamental frequency integral multiple, when there being nonlinear load in electric system, when the electric current of power-frequency voltage or power frequency is by these nonlinear loads, the voltage or electric current that are different from power frequency 50HZ can be produced, obtain component of voltage or the current component of a series of power-frequency voltage frequency (50HZ) integral multiple by Fourier expansion, these components are exactly harmonic component.In the epoch that this national economy develops rapidly, the quality of electric energy has progressively caused the attention of people, for most people may and be ignorant of what be the quality problems of electric energy, more can think the problem that the voltage that generally occurs now is low, but be a kind of even more serious power quality problem relative to harmonic pollution this.The electric energy service efficiency of electrical network can be made significantly to fall fall when there being a large amount of harmonic injection in electrical network; sophisticated electronics can not accurately run; electrical equipment lost of life etc., particularly harmonic wave also can make relay protection equip misoperation, cause very serious economic loss.Harmonic wave is a major issue of the quality of power supply, is one of important evidence of quality of power supply quality.
Harmonic wave Producing reason: be not linear owing to having a lot of equipment or load in electric system, when the voltage that frequency is 50HZ acts on above these nonlinear load devices, power current can be made to produce distortion, also just define harmonic source when the electric current of this distortion flows through system impedance.Harmonic pollution mainly contains the impact of two aspects, i.e. the interference of electric system and signal.
Along with components and parts nonlinear in electric system are as a large amount of inputs of Switching Power Supply rectifier etc., the harmonic source in whole electric system is got more and more, the dirty situation of the harmonic wave in electrical network dye is more and more serious.The decline of the quality of power supply that nonlinear-load causes progressively causes the great attention of people, in order to process the harmonic problem in electric system, just must determine the pollution condition of harmonic wave in electrical network.The method that tradition solves harmonic problem is all generally by active power method and reactive power method, but these methods all have certain limitation when bilateral harmonic source is differentiated and locate.
[summary of the invention]
The object of this invention is to provide a kind of bilateral harmonic source based on critical impedance method and differentiate the method with location, it can judge the main harmonic source in the electric system of bilateral harmonic source, contribute to the harmonic pollution reduced in actual applications, and multiple interference of multiple harmonic source can be processed.
To achieve these goals, the technical solution adopted in the present invention is as follows: a kind of bilateral harmonic source based on critical impedance method is differentiated, with the method for location, to comprise the steps:
S1: obtain user-side harmonic impedance in electric system, system side harmonic impedance, measure network system nonlinear-load and act on harmonic voltage on PCC point and harmonic current, according to obtained user-side harmonic impedance, system side harmonic impedance and measured harmonic voltage and harmonic current, calculate user-side harmonic voltage source and system side harmonic voltage source;
S2: electric system is equivalent to bilateral harmonic source Equivalent Circuit, find out critical impedance, calculate the bilateral harmonic wave total resistance of this bilateral harmonic source Equivalent Circuit according to critical impedance, described bilateral harmonic wave total resistance is user side total harmonic impedance value and system side total harmonic impedance value sum;
S3: the harmonic impedance of system side and user side is all considered as reactance, calculate the resistance value of electric system, resistance value and bilateral harmonic wave total resistance are compared, if double resistance value is greater than bilateral harmonic wave total resistance, then system side voltage source is main harmonic source; If double resistance value is less than bilateral harmonic wave total resistance, then user side voltage source is main harmonic source.
Further, described step S3 can replace as follows: S3 ': mark " critical impedance coefficient "; As ω ﹥ X
max, then system side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
maxfor the maximal value of bilateral harmonic wave resulting impedance under maximum operational mode; As ω ﹤ X
min, then user side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
minfor the minimum value of bilateral harmonic wave resulting impedance under maximum operational mode.
Further, in described step S3, the computing formula of described critical impedance coefficient is as follows:
Wherein, ω is critical impedance coefficient, I
pccfor the critical current on PCC point, Q is total electricity of electric system.
Further, in described step S2,
When Harmonious Waves in Power Systems impedance is induction reactance:
When Harmonious Waves in Power Systems impedance is capacitive reactance:
Wherein: α=90 °-β,
Wherein, Z
cifor critical impedance,
for user-side harmonic voltage source,
for the harmonic current on PCC point, X is bilateral harmonic wave total resistance, and R is resistance.
Further, in described step S1, calculate described user side voltage source and system side voltage source formula used as follows:
Wherein,
for user-side harmonic voltage source,
for the harmonic voltage on PCC point,
for the harmonic current on PCC point, Z
sfor user-side harmonic impedance,
for system side harmonic voltage source, Z
cfor system side harmonic impedance.
Further, described system side harmonic impedance is uniformly distributed in electric system.
Further, described user-side harmonic impedance is uniformly distributed in electric system.
Further, in described step S1, described user-side harmonic impedance is obtained by evaluation method.
Further, in described step S1, described system side harmonic impedance is obtained by evaluation method.
Further, in described step S1, described PCC point is the load points of common connection in electric system.
Beneficial effect of the present invention is as follows: differentiated the main harmonic source can judged with the method for location in the electric system of bilateral harmonic source by the bilateral harmonic source based on critical impedance method of the present invention, thus contribute to the harmonic pollution that reduces in actual applications, be applicable to most single bilateral harmonic source circuit, and multiple interference of multiple harmonic source can be processed.
Above-mentioned explanation is only the general introduction of technical solution of the present invention, in order to better understand technological means of the present invention, and can be implemented according to the content of instructions, coordinates accompanying drawing to be described in detail as follows below with preferred embodiment of the present invention.
[accompanying drawing explanation]
Fig. 1 is the bilateral harmonic source equivalent circuit diagram of one embodiment of the invention electric system;
Fig. 2 is superposition principle method harmonic source detection figure;
Fig. 3 is system side harmonic source independent role schematic diagram when adopting superposition principle method;
Fig. 4 is user-side harmonic source independent role schematic diagram when adopting superposition principle method;
Fig. 5 is the artificial circuit figure of system side independent role when adopting superposition principle method;
Fig. 6 is the artificial circuit figure of user side independent role when adopting superposition principle method;
Fig. 7 adopts the bilateral harmonic source based on critical impedance method to differentiate and bilateral harmonic wave critical impedance method artificial circuit figure during the method for locating;
Fig. 8 adopts the bilateral harmonic source based on critical impedance method to differentiate and bilateral harmonic wave critical impedance circuit diagram during the method for locating;
When Fig. 9 is the method adopting the bilateral harmonic source based on critical impedance method to differentiate with location | Z
m|=| Z
s+ Z
c| computation model;
Figure 10 is that the bilateral harmonic source of experiment based on critical impedance method differentiates the artificial circuit figure with the method for location;
Figure 11 is the simulation and experiment comparison diagram of a part of bilateral harmonic source;
Figure 12 is the simulation and experiment comparison diagram of another part bilateral harmonic source.
[embodiment]
Below in conjunction with drawings and Examples, the specific embodiment of the present invention is described in further detail.Following examples for illustration of the present invention, but are not used for limiting the scope of the invention.
Critical impedance method refers to finds out a critical impedance Z in circuit
ci, make the Equivalent Harmonic source voltage magnitude E of system side equal the harmonic voltage amplitude V of user side, and the size of the critical impedance of critical impedance method when to be exactly comparison system impedance equal with common point both sides Equivalent Harmonic voltage is to determine that harmonic wave flows to.
In simple electric system, if the harmonic impedance of user side and system side can accurately measure, system can be equivalent to single disconnected source Equivalent Circuit analysis, judge main harmonic source, but in side circuit, harmonic impedance is changing always, measuring to obtain precise information so more difficult, in the present embodiment, the user-side harmonic impedance Z adopted
s, system side harmonic impedance Z
cobtained by evaluation method, this system side harmonic impedance Z
c, user-side harmonic impedance Z
sbe uniformly distributed in electric system.
The bilateral harmonic source based on critical impedance method described in a preferred embodiment of the present invention is differentiated, with the method for location, to comprise step step S1 to S3:
S1: obtain user-side harmonic impedance Z in electric system
s, system side harmonic impedance Z
c, measurement network system nonlinear-load acts on the harmonic voltage on PCC point
and harmonic current
according to obtained user-side harmonic impedance Z
s, system side harmonic impedance Z
cand measured harmonic voltage
and harmonic current
calculate user-side harmonic voltage source
with system side harmonic voltage source
wherein, described PCC point is the load points of common connection in electric system.
In this step, described user side voltage source is calculated
with system side voltage source
employing formula is as follows:
In above-mentioned formula,
for user-side harmonic voltage source,
for the harmonic voltage on PCC point,
for the harmonic current on PCC point, Z
sfor user-side harmonic impedance,
for system side harmonic voltage source, Z
cfor system side harmonic impedance.
S2: electric system is equivalent to bilateral harmonic source Equivalent Circuit (this bilateral harmonic source Equivalent Circuit refers to Fig. 1), finds out critical impedance Z
ci, according to critical impedance Z
cicalculate the bilateral harmonic wave total resistance X of this bilateral harmonic source Equivalent Circuit, described bilateral harmonic wave total resistance X is user side total harmonic impedance value and system side total harmonic impedance value sum.
In described step S2,
When Harmonious Waves in Power Systems impedance is induction reactance:
When Harmonious Waves in Power Systems impedance is capacitive reactance:
Wherein: α=90 °-β,
In the equation above, Z
cifor critical impedance,
for user-side harmonic voltage source,
for the harmonic current on PCC point, X is bilateral harmonic wave total resistance, and R is resistance.
S3: the harmonic impedance of system side and user side is all considered as reactance, calculate the resistance value Z1 of electric system, resistance value Z1 and bilateral harmonic wave total resistance X is compared, if 2Z1>X, then system side voltage source is main harmonic source, 2Z1 ﹤ X, then user side voltage source is main harmonic source.
Except the present embodiment, above-mentioned steps S3 can replace as follows: S3 ': mark " critical impedance coefficient "; As ω ﹥ X
max, then system side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
maxfor the maximal value of bilateral harmonic wave resulting impedance under maximum operational mode; As ω ﹤ X
min, then user side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
minfor the minimum value of bilateral harmonic wave resulting impedance under maximum operational mode.In described step S4, the computing formula of described critical impedance coefficient ω is as follows:
In above-mentioned formula, ω is critical impedance coefficient, I
pccfor the critical current on PCC point, Q is total electricity of electric system.
It is pointed out that and work as X
min﹤ ︳ ω ︳ ﹤ X
max, critical impedance method can not draw and judge accurately.
Verify that the above-mentioned bilateral harmonic source based on critical impedance method differentiates the method with location below by modeling and simulating and experiment.In the present embodiment, this modeling and simulating is based on the emulation of MATLAB software.At this, in order to verify reliability, introduce superposition principle method and compare, and for the ease of comparison, also carry out modeling and simulating to superposition principle method, the modeling and simulating of superposition principle method is equally based on the emulation of MATLAB software.
Differentiating with the method for location to harmonic source, superposition principle method is that a kind of desirable harmonic source differentiates the method with location.All parameters in supposition system are in this approach all known, so, can the harmonic source on system both sides separately.If system side harmonic voltage source is
user-side harmonic voltage source is
system resulting impedance is Z, so, by comparing each harmonic source respectively at the harmonic current of common point
with
judge main harmonic source.
Refer to Fig. 2 to Fig. 4, can formula be drawn:
By comparing harmonics present electric current
with
amplitude size determine major harmonic source.
When
time, i.e. E
c﹥ E
s, now, user side produces more harmonic wave, so user side is main harmonic source.
When
time, i.e. E
c﹤ E
s, now, system side produces more harmonic wave, so user side is main harmonic source.
To sum up, superposition principle method can position the harmonic source in electric system accurately, but because superposition principle method requires to know all concrete parameters in electric system, and the numerical value of system side harmonic voltage source is difficult to accurately obtain, so, superposition principle method is not also suitable in practice, but superposition principle method is correct in principle, so, the standard that superposition principle method verifies as main harmonic source can be adopted.
The modeling and simulating of superposition principle method
Suppose that user side and system side have 3 harmonic sources respectively
the harmonic impedance of system side and user side is Z
s=20+j30 Ω, Z
c=30+j45 Ω, there are power frequency electric potential source and 4 subharmonic sources in simultaneity factor side and user side, detect the harmonic current of 3 subharmonic sources at common point according to superposition principle method.
Can be obtained by Fig. 5 and Fig. 6: when system side harmonic source independent role, the harmonic current of common point
when user-side harmonic source independent role, the harmonic current of common point
because
so user side is main harmonic source.
Based on critical impedance method bilateral harmonic source differentiate with localization method modeling and simulating
There is 3 subharmonic source 1000 ∠, 0 ° of V supposing the system side, harmonic impedance Z
s=2+j20 Ω, there is 3 subharmonic source 200 ∠ (0 ° ~ 360 °) V user side, harmonic impedance impedance Z
c=20+j600 Ω, emulation is as Fig. 7 to Fig. 9:
The list of table 1 emulated data
When can find out user-side harmonic source from 0 to 360 ° of changes from the data of table 1, measured next critical impedance value is all little than system impedance, so user side is main harmonic source, is consistent with superposition principle method.So, should differentiate can judge main harmonic source with the method for location based on the bilateral harmonic source of critical impedance method.
Experiment
Refer to Figure 10, system side has power frequency 90V voltage source, and the trigger voltage amplitude of thyristor is 1V, and dutycycle is 50%, resistance Z
s=Zc=200 Ω, it is 5V that user side adds an amplitude, and frequency is the voltage source of 150HZ, and the thyristor triggering impulse in emulation, directly with given pulse, uses unijunction transistor trigger circuit as the trigger pulse of thyristor in experiment.In an experiment, because the trigger pulse of trigger circuit is limited in scope, so, choose wherein more accurate 30 °, 60 °, 90 °, 120 °, the harmonic voltage waveform that 150 ° of trigger pulses obtain contrasts, and measures common point place and obtains harmonic voltage, draw oscillogram, refer to left side one row's oscillogram in Figure 11.
Incorporated by reference to Figure 11 and Figure 12, as can be seen from the figure, the waveform that experiment draws is substantially the same in amplitude and frequency with simulation waveform, so it is correct for testing the waveform drawn.For the total harmonic distortion factor THD% detected, when trigger action angle is at 0 ° ~ 120 °, THD% remains within 200% ± 30%, this is the minimum trigger angle scope of harmonic distortion, and in actual applications, should it be remained within this stage, to reduce harmonic pollution as far as possible.
In sum, the main harmonic source can judged with the method for location in the electric system of bilateral harmonic source is differentiated by the above-mentioned bilateral harmonic source based on critical impedance method, thus contribute to the harmonic pollution that reduces in actual applications, be applicable to most single bilateral harmonic source circuit, and multiple interference of multiple harmonic source can be processed.
The above is only the preferred embodiment of the present invention; be not limited to the present invention; should be understood that; for those skilled in the art; under the prerequisite not departing from the technology of the present invention principle; can also make some improvement and modification, these improve and modification also should be considered as protection scope of the present invention.
Claims (10)
1. the bilateral harmonic source based on critical impedance method is differentiated, with a method for location, to it is characterized in that: described method comprises the steps:
S1: obtain user-side harmonic impedance in electric system, system side harmonic impedance, measure network system nonlinear-load and act on harmonic voltage on PCC point and harmonic current, according to obtained user-side harmonic impedance, system side harmonic impedance and measured harmonic voltage and harmonic current, calculate user-side harmonic voltage source and system side harmonic voltage source;
S2: electric system is equivalent to bilateral harmonic source Equivalent Circuit, find out critical impedance, calculate the bilateral harmonic wave total resistance of this bilateral harmonic source Equivalent Circuit according to critical impedance, described bilateral harmonic wave total resistance is user side total harmonic impedance value and system side total harmonic impedance value sum;
S3: the harmonic impedance of system side and user side is all considered as reactance, calculate the resistance value of electric system, resistance value and bilateral harmonic wave total resistance are compared, if double resistance value is greater than bilateral harmonic wave total resistance, then system side voltage source is main harmonic source; If double resistance value is less than bilateral harmonic wave total resistance, then user side voltage source is main harmonic source.
2. the bilateral harmonic source based on critical impedance method according to claim 1 is differentiated, with the method for location, to it is characterized in that: described step S3 can replace as follows: S3 ': mark " critical impedance coefficient "; As ω ﹥ X
max, then system side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
maxfor the maximal value of bilateral harmonic wave resulting impedance under maximum operational mode; As ω ﹤ X
min, then user side voltage source is main harmonic source, wherein: ω is critical impedance coefficient, X
minfor the minimum value of bilateral harmonic wave resulting impedance under maximum operational mode.
3. the bilateral harmonic source based on critical impedance method according to claim 2 differentiates the method with location, and it is characterized in that: in described step S3, the computing formula of described critical impedance coefficient is as follows:
Wherein, ω is critical impedance coefficient, I
pccfor the critical current on PCC point, Q is total electricity of electric system.
4. the bilateral harmonic source based on critical impedance method according to claim 1 and 2 is differentiated, with the method for location, to it is characterized in that: in described step S2,
When Harmonious Waves in Power Systems impedance is induction reactance:
When Harmonious Waves in Power Systems impedance is capacitive reactance:
Wherein: α=90 °-β,
Wherein, Z
cifor critical impedance,
for user-side harmonic voltage source,
for the harmonic current on PCC point, X is bilateral harmonic wave total resistance, and R is resistance.
5. the bilateral harmonic source based on critical impedance method according to claim 1 and 2 is differentiated, with the method for location, to it is characterized in that: in described step S1, calculate described user side voltage source and system side voltage source formula used as follows:
Wherein,
for user-side harmonic voltage source,
for the harmonic voltage on PCC point,
for the harmonic current on PCC point, Z
sfor user-side harmonic impedance,
for system side harmonic voltage source, Z
cfor system side harmonic impedance.
6. the bilateral harmonic source based on critical impedance method according to claim 1 and 2 is differentiated, with the method for location, to it is characterized in that: described system side harmonic impedance is uniformly distributed in electric system.
7. the bilateral harmonic source based on critical impedance method according to claim 6 is differentiated, with the method for location, to it is characterized in that: described user-side harmonic impedance is uniformly distributed in electric system.
8. the bilateral harmonic source based on critical impedance method according to claim 1 and 2 differentiates the method with location, and it is characterized in that: in described step S1, described user-side harmonic impedance is obtained by evaluation method.
9. the bilateral harmonic source based on critical impedance method according to claim 8 differentiates the method with location, and it is characterized in that: in described step S1, described system side harmonic impedance is obtained by evaluation method.
10. the bilateral harmonic source based on critical impedance method according to claim 1 differentiates the method with location, and it is characterized in that: in described step S1, described PCC point is the load points of common connection in electric system.
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| CN106093571A (en) * | 2016-06-08 | 2016-11-09 | 南瑞（武汉）电气设备与工程能效测评中心 | The harmonic wave source tracing method that user side is main harmonic source is judged based on what impedance retrained |
| CN108846183A (en) * | 2018-06-01 | 2018-11-20 | 南方电网科学研究院有限责任公司 | A kind of harmonic impedance calculation method and system based on private clound |
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| CN113484690A (en) * | 2021-07-27 | 2021-10-08 | 杭州得诚电力科技股份有限公司 | Harmonic source positioning method, device, equipment and storage medium of power supply system |
| CN114720764A (en) * | 2022-02-23 | 2022-07-08 | 江苏森维电子有限公司 | Harmonic analysis method and system based on real-time monitoring data of electric meter |
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| CN114720764B (en) * | 2022-02-23 | 2023-02-07 | 江苏森维电子有限公司 | Harmonic analysis method and system based on real-time monitoring data of electric meter |
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