CN106972513B - A kind of three-phase and four-line uncompensated load only utilizes the compensation method of capacitive element - Google Patents
A kind of three-phase and four-line uncompensated load only utilizes the compensation method of capacitive element Download PDFInfo
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/50—Arrangements for eliminating or reducing asymmetry in polyphase networks
Abstract
A kind of three-phase and four-line uncompensated load only utilizes the compensation method of capacitive element, belongs to power quality controlling field in electric system.Net side system voltage is that the zero sequence of net side system, positive sequence and negative-sequence current after only being compensated with capacitive element are found out according to symmetrical component method in sinusoidal and symmetrical situation；Construct the objective function of genetic algorithm；Building and the identical quantity of population at individual number of setting and Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaDirectly proportional, 6 binary numbers be linked in sequence made of, new binary number, as the individual in population primary；Individual adaptation degree is calculated, and calculates the hereditary probability of each individual；For the individual in population primary, the size of hereditary probability and objective function in the next generation is inversely proportional；It obtains making in offspring individual the smallest one group of individual of target function value in step 2, records and as contemporary optimum individual；Compare every generation optimum individual, obtains the optimal value of capacitive element compensation branch.The present invention provides solid theoretical basis for practical engineering application.
Description
Technical field
The present invention relates to the compensation methodes that a kind of three-phase and four-line uncompensated load only utilizes capacitive element, belong to electric system
Middle power quality controlling field.
Background technique
With the development of power electronics technology, high-power, large capacity, high degree of asymmetry load increasing, electric system
Load unbalanced problem is got worse.Stable operation of the threephase load imbalance to electric system, the safety of electrical equipment, and
Power quality causes very big negative effect." user power utilization must not for " Electricity Law of the People's Republic of China " the 32nd article of regulation
Harm power supply, Electrical Safety and upset power supply, electricity consumption order.To harm power supply, Electrical Safety and upset power supply, electricity consumption order
Power supply enterprise has the right to prevent ".Therefore, particularly important to the capacitive element compensation method of three-phase and four-line uncompensated load.
In current existing article, patent and practical engineering application, the compensation of uncompensated load is both needed to access perceptual nothing
Function.As reactive compensation element, cost, power consumption and the volume of reactor are much larger than capacitor.
Summary of the invention
Present invention aims at for only using capacitive element compensating the uncompensated load in three-phase three-wire system
Problem proposes that a kind of three-phase and four-line uncompensated load only utilizes the compensation method of capacitive element, and this method utilizes symmetrical component method
It derives zero sequence, positive sequence and negative sequence component, and constructs using negative-sequence current and reactive current as the objective function of index, utilize something lost
Propagation algorithm constructs the load unbalanced capacitive element compensation method of three-phase and four-line, provides for practical engineering application solid
Theoretical basis.
Realize above-mentioned purpose, the technical solution adopted by the present invention is as follows:
A kind of three-phase and four-line uncompensated load only utilizes the compensation method of capacitive element, comprising the following steps:
Step 1: net side system voltage is U in sinusoidal and symmetrical situationa=U, Ub=α2U, Uc=α U, α=e120°j,
Wherein: Ua,Ub,UcRespectively a phase, b phase and c phase voltage, U are phase voltage amplitude, and j is the imaginary part unit of plural number, and α is three-phase
Voltage rotation angle, e be unit vector, found out according to symmetrical component method the zero sequence of net side system after only being compensated with capacitive element,
Positive sequence and negative-sequence current；
Step 2: constructing the objective function of genetic algorithm, and objective function meetsWherein: obj is objective function,Zero-sequence current real part respectively under three-phase four wire system, zero-sequence current imaginary part, positive sequence electricity
Flow imaginary part, negative-sequence current real part and negative-sequence current imaginary part；
Step 3: utilizing genetic algorithm, using the numerical value of minimum capacity unit in practical engineering application as basic unit, building
Quantity identical as the population at individual number of setting, with Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaIt is directly proportional, six two
System number be linked in sequence made of, new binary number, as the individual in population primary；Wherein: Δ Ba,ΔBb,ΔBcIt is three
The susceptance value of mutually star-like compensation network, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
Step 4: after obtaining the individual in population primary, target letter is calculated using the objective function Equation in step 2
Numerical value calculates individual adaptation degree, and calculates the hereditary probability of each individual；For the individual in population primary, in the next generation
Hereditary probability and the size of objective function be inversely proportional；
Step 5: carrying out simulation gene according to the hereditary probability of individual each in population and intersect, recombination and mutation process,
It obtains making in offspring individual the smallest one group of individual of target function value in step 2, records and as contemporary optimum individual；
Step 6: repeating Step 4: step 5 is at least 500 times, and more every generation optimum individual obtains entire hereditary mistake
It is changed to Δ B according to step 3 reverse by the optimum individual in journeya,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaTo get arrive capacitive
The optimal value of element compensation branch；Wherein: Δ Ba,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase, Δ Bab,ΔBbc,
ΔBcaFor the susceptance value of three-phase angle-style compensation network.
The beneficial effect of the present invention compared with the existing technology is:
1, the present invention for inductive element in uncompensated load phenomenon in three-phase four wire system and practical engineering application at
This height and problem difficult in maintenance provide a kind of capacitive member for being widely portable to three-phase four wire system based on genetic algorithm
Part compensation method.The present invention is by calculating the forward-order current in three-phase system, negative-sequence current and the real part and void of zero-sequence current
Portion, thus objective function of the construction about negative-sequence current and reactive current, being proposed in turn using genetic algorithm can be according to work
Capacitive element minimum unit carries out the compensation method of the three-phase and four-line uncompensated load of optimal correction in Cheng Yingyong.
2, a kind of three-phase and four-line uncompensated load proposed by the present invention only utilizes the compensation method of capacitive element, using symmetrical
Component method derives zero sequence, positive sequence and negative sequence component, and constructs using negative-sequence current and reactive current as the objective function of index,
Using genetic algorithm, the load unbalanced capacitive element compensation method of three-phase and four-line is constructed, is provided for practical engineering application
Solid theoretical basis has filled up the vacancy of the capacitive element compensation method of three-phase and four-line uncompensated load.
Detailed description of the invention
Fig. 1 is the compensation network schematic diagram of three-phase and four-line uncompensated load.
Further description of the technical solution of the present invention with reference to the accompanying drawing, and however, it is not limited to this, all to this
Inventive technique scheme is modified or replaced equivalently, and without departing from the spirit and scope of the technical solution of the present invention, should all be covered
Within the protection scope of the present invention.
Specific embodiment
Specific embodiment 1: as shown in Figure 1, present embodiment discloses a kind of three-phase and four-line uncompensated load only utilizes
The compensation method of capacitive element, comprising the following steps:
Step 1: net side system voltage is U in sinusoidal and symmetrical situationa=U, Ub=α2U, Uc=α U, α=e120°j,
Wherein: Ua,Ub,UcRespectively a phase, b phase and c phase voltage, U are phase voltage amplitude, and j is the imaginary part unit of plural number, and α is three-phase
Voltage rotation angle, e be unit vector, found out according to symmetrical component method the zero sequence of net side system after only being compensated with capacitive element,
Positive sequence and negative-sequence current；
Step 2: constructing the objective function of genetic algorithm, and objective function meetsWherein: obj is objective function,Point
Not Wei zero-sequence current real part under three-phase four wire system, zero-sequence current imaginary part, forward-order current imaginary part, negative-sequence current real part and negative
Sequence electric current imaginary part；
Step 3: utilizing genetic algorithm, using the numerical value of minimum capacity unit in practical engineering application as basic unit, building
Quantity identical as the population at individual number of setting, with Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaIt is directly proportional, six two
System number be linked in sequence made of, new binary number, as the individual in population primary；Wherein: Δ Ba,ΔBb,ΔBcIt is three
The susceptance value of mutually star-like compensation network, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
Step 4: after obtaining the individual in population primary, target letter is calculated using the objective function Equation in step 2
Numerical value calculates individual adaptation degree, and calculates the hereditary probability of each individual；For the individual in population primary, in the next generation
Hereditary probability and the size of objective function be inversely proportional；
Step 5: carrying out simulation gene according to the hereditary probability of individual each in population and intersect, recombination and mutation process,
It obtains making in offspring individual the smallest one group of individual of target function value in step 2, records and as contemporary optimum individual；
Step 6: repeating Step 4: step 5 is at least 500 times, and more every generation optimum individual obtains entire hereditary mistake
It is changed to Δ B according to step 3 reverse by the optimum individual in journeya,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaTo get arrive capacitive
The optimal value of element compensation branch；Wherein: Δ Ba,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase, Δ Bab,ΔBbc,
ΔBcaFor the susceptance value of three-phase angle-style compensation network.
Specific embodiment 2: present embodiment is the further explanation made to specific embodiment one, in step 1
Zero sequence, positive sequence and the negative-sequence current parameter are as follows:
Zero sequence, positive sequence and negative-sequence current parameter described in step 1 are as follows:
Wherein: U is phase voltage amplitude,Respectively zero sequence, positive sequence and negative-sequence current, Ga,Gb,GcIt is three
The conductance of mutually star-like load, Ba,Bb,BcFor the susceptance of the star-like load of three-phase, Δ Ba,ΔBb,ΔBcFor the star-like compensation network of three-phase
Susceptance value, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network, j is the imaginary part unit of plural number.
Specific embodiment 3: present embodiment is the further explanation made to specific embodiment one or two, utilize
Genetic algorithm optimizes the objective function obj in step 2.
Specific embodiment 4: present embodiment is the further explanation made to specific embodiment one, in step 3
The population at individual primary need to meet the following conditions:
1) each individual is continuous 6 binary numbers in population, respectively represents Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,
ΔBcaOne group of new binary number of composition is connected, wherein；ΔBa,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase,
ΔBab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
2) value of the capacitor group that the range of the value of each of six binary numbers and three-phase four wire system have
Range, i.e. 0 < Δ B < BmaxIt is corresponding, in which: Δ B is any one susceptance value in compensation network, BmaxFor practical engineering application
The maximum susceptance value that any one phase of middle compensation network can compensate；
3) minimum unit of binary number, i.e., 1 is corresponding with the minimum unit value of three-phase four wire system capacitor group.
Specific embodiment 5: present embodiment is the further explanation made to specific embodiment one, in step 4
The fitness of the population at individual primary is defined as:Wherein: fit is fitness, and obj is the target in step 2
Function.
Embodiment 1:
As shown in Figure 1, this embodiment discloses herein the compensation sides that a kind of three-phase and four-line uncompensated load only utilizes capacitive element
Method, comprising the following steps:
Step 1: net side system voltage is U in sinusoidal and symmetrical situationa=U, Ub=α2U, Uc=α U, α=e120°j, meter
Calculate zero sequence, positive sequence and the negative-sequence current of system after only being compensated with capacitive element:
Wherein: Ua,Ub,UcRespectively a phase, b phase and c phase voltage, U are phase voltage amplitude, and j is the imaginary part unit of plural number, α
For three-phase voltage rotation angle, e is unit vector,Respectively zero sequence, positive sequence and negative-sequence current, Ga,Gb,GcIt is three
The conductance of mutually star-like load, Ba,Bb,BcFor the susceptance of the star-like load of three-phase, Δ Ba,ΔBb,ΔBcFor the star-like compensation network of three-phase
Susceptance value, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
Step 2: constructing the objective function of genetic algorithm, and for three-phase four wire system, objective function meetsWherein: obj is objective function,
Zero-sequence current real part respectively under three-phase four wire system, zero-sequence current imaginary part, forward-order current imaginary part, negative-sequence current real part and
Negative-sequence current imaginary part；
Step 3: constructing population primary, and individual need meets the following conditions in population:
1) each individual is that continuous 6 binary numbers (respectively represent Δ B in populationa,ΔBb,ΔBc,ΔBab,ΔBbc,
ΔBca) connect the one group of new binary number formed, in which: Δ Ba,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase,
ΔBab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
2) 6 binary numbers, the model of the value for the capacitor group that the range and three-phase four wire system of the value of each have
Enclose (i.e. 0 < Δ B < Bmax) corresponding；Wherein: any one susceptance value, B in Δ B compensation networkmaxFor in practical engineering application
The maximum susceptance value that any one phase of compensation network can compensate；
3) minimum unit (i.e. 1) of binary number is corresponding with the minimum unit value of three-phase four wire system capacitor group；
Step 4: finding out the fitness of each individual in contemporary population according to the formula in step 1 and step 2, fits
Response is defined asAnd it finds out the highest individual of fitness in the present age and protects the value of this binary sequence and its fitness
It deposits；Wherein: fit is fitness, and obj is the objective function in step 2；
Step 5: hereditary probability is distributed according to the fitness value of each individual of contemporary population, hereditary probability needs to meet:
1) hereditary probability is directly proportional to fitness function；
2) the sum of the hereditary probability of all individuals adds up to 1 in contemporary population；
Step 6: two individuals are taken out according to the hereditary probability of each individual at random, in two individual binary system number sequences
A same position cutting is looked in column at random, half section of left and right is respectively taken, forms new binary number sequence；With millesimal probability
Its value is negated into (0, which becomes 1,1, becomes 0) in a random site of new binary sequence；With the base of this two process mimic biologies
Because of recombination, mutation process, a new individual is formed, forms identical with the population at individual number set in the same way
Body, as population of new generation；
Step 7: step 4-step 6 step is repeated to the population at individual of a new generation, is obtained after circulation at least 500 times every
The data of the highest individual of the fitness of a generation；The fitness of the highest individual of successive dynasties fitness is compared, fitness is found out
The translation of binary sequence number is become Δ according to the mode for constructing individual in step 3 by it by the binary sequence of highest individual
Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBca, obtained Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaAs three-phase and four-line
System needs to access the susceptance value of the capacitor of each compensation branch；Wherein: Δ Ba,ΔBb,ΔBcFor the star-like compensation network of three-phase
Susceptance value, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network.
Claims (5)
1. the compensation method that a kind of three-phase and four-line uncompensated load only utilizes capacitive element, which comprises the following steps:
Step 1: net side system voltage is U in sinusoidal and symmetrical situationa=U, Ub=α2U, Uc=α U, α=e120°j, in which:
Ua,Ub,UcRespectively a phase, b phase and c phase voltage, U are phase voltage amplitude, and j is the imaginary part unit of plural number, and α is three-phase voltage rotation
Angle, e are unit vector, and the zero sequence of net side system after only being compensated with capacitive element, positive sequence are found out according to symmetrical component method and is born
Sequence electric current；
Step 2: constructing the objective function of genetic algorithm, and objective function meetsWherein: obj is objective function,
Zero-sequence current real part respectively under three-phase four wire system, zero-sequence current imaginary part, forward-order current imaginary part, negative-sequence current real part and
Negative-sequence current imaginary part；
Step 3: it constructs and sets using the numerical value of minimum capacity unit in practical engineering application as basic unit using genetic algorithm
The fixed identical quantity of population at individual number, with Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaDirectly proportional, six binary systems
It counts made of being linked in sequence, new binary number, as the individual in population primary；Wherein: Δ Ba,ΔBb,ΔBcFor three-phase star
The susceptance value of type compensation network, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
Step 4: after obtaining the individual in population primary, using the objective function Equation calculating target function value in step 2,
Individual adaptation degree is calculated, and calculates the hereditary probability of each individual；Heredity for the individual in population primary, in the next generation
The size of probability and objective function is inversely proportional；
Step 5: simulation gene is carried out according to the hereditary probability of individual each in population and is intersected, recombination and mutation process obtain
Make the smallest one group of individual of target function value in step 2 in offspring individual, records and as contemporary optimum individual；
Step 6: it repeats Step 4: step 5 is at least 500 times, more every generation optimum individual obtains in entire genetic process
Optimum individual, by its according to step 3 reverse be changed to Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBcaTo get arrive capacitive element
Compensate the optimal value of branch；Wherein: Δ Ba,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase, Δ Bab,ΔBbc,ΔBca
For the susceptance value of three-phase angle-style compensation network.
2. a kind of three-phase and four-line uncompensated load according to claim 1 only utilizes the compensation method of capacitive element, special
Sign is: zero sequence, positive sequence and negative-sequence current parameter described in step 1 are as follows:
Wherein: U is phase voltage amplitude,Respectively zero sequence, positive sequence and negative-sequence current, Ga,Gb,GcIt is star-like for three-phase
The conductance of load, Ba,Bb,BcFor the susceptance of the star-like load of three-phase, Δ Ba,ΔBb,ΔBcFor the susceptance of the star-like compensation network of three-phase
Value, Δ Bab,ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network, j is the imaginary part unit of plural number.
3. a kind of three-phase and four-line uncompensated load according to claim 1 or 2 only utilizes the compensation method of capacitive element,
It is characterized in that: the objective function in step 2 being optimized using genetic algorithm.
4. a kind of three-phase and four-line uncompensated load according to claim 1 only utilizes the compensation method of capacitive element, special
Sign is: population at individual primary described in step 3 need to meet the following conditions:
1) each individual is continuous 6 binary numbers in population, respectively represents Δ Ba,ΔBb,ΔBc,ΔBab,ΔBbc,ΔBca
One group of new binary number of composition is connected, wherein；ΔBa,ΔBb,ΔBcFor the susceptance value of the star-like compensation network of three-phase, Δ Bab,
ΔBbc,ΔBcaFor the susceptance value of three-phase angle-style compensation network；
2) range of the value for the capacitor group that the range of the value of each of six binary numbers and three-phase four wire system have,
That is 0 < Δ B < BmaxIt is corresponding, in which: Δ B is any one susceptance value in compensation network, BmaxTo be mended in practical engineering application
Repay the maximum susceptance value that any one phase of network can compensate；
3) minimum unit of binary number, i.e., 1 is corresponding with the minimum unit value of three-phase four wire system capacitor group.
5. a kind of three-phase and four-line uncompensated load according to claim 1 only utilizes the compensation method of capacitive element, special
Sign is: the fitness of population at individual primary described in step 4 is defined as:Wherein: fit is fitness, obj
For the objective function in step 2.
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| Use of hybrid genetic algorithms for optimal reactive compensation design on large and unbalanced distribution networks;Jorge Luis Cabrera Chirre等;《2014 IEEE PES Transmission & Distribution Conference and Exposition - Latin America》;20141113;第1-5页 |
| 农村电网不对称负荷补偿方法研究;房俊龙等;《东北农业大学学报》;20140731;第45卷(第7期);第108-111页 |
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