CN103580025B - The adaptive filter method that resonant frequency iteration based on model frequency susceptibility shifts - Google Patents

The adaptive filter method that resonant frequency iteration based on model frequency susceptibility shifts Download PDF

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CN103580025B
CN103580025B CN201310389953.7A CN201310389953A CN103580025B CN 103580025 B CN103580025 B CN 103580025B CN 201310389953 A CN201310389953 A CN 201310389953A CN 103580025 B CN103580025 B CN 103580025B
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inductance
value
sef
frequency
power system
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CN103580025A (en
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何正友
胡海涛
张扬帆
林圣�
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CHENGDU GUOJIA ELECTRICAL ENGINEERING CO., LTD.
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Southwest Jiaotong University
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Abstract

The adaptive filter method that a kind of resonant frequency iteration based on model frequency susceptibility shifts, first it utilize modal analysis method to detect the power system resonant frequency including sef-adapting filter according to NETWORK STRUCTURE PRESERVING POWER SYSTEM, then utilize the NETWORK STRUCTURE PRESERVING POWER SYSTEM parameter that calculates and sef-adapting filter parameter to determine the model frequency susceptibility of inductance and electric capacity in sef-adapting filter, and using the large inductance of model frequency susceptibility or electric capacity as input value, calculating iterates taking resonant frequency as output valve, the resonant frequency of iteration calculation system is capacitance and the inductance value of the even-multiple of power frequency or near the sef-adapting filter it time. thereby in ensureing that wave filter filters out odd harmonic, according to the variation of operation states of electric power system, self adaptation regulates the parameter of wave filter, makes the resonant frequency of power system away from odd harmonic frequencies, effectively avoid harmonic resonance, better ensure power supply quality and the security of power system.

Description

The adaptive filter method that resonant frequency iteration based on model frequency susceptibility shifts
Technical field
The present invention relates to harmonic resonance improvement adaptive filter method in a kind of power industry.
Technical background
Along with coming into operation of increasing non-linear equipment, can in power system, produce a large amount of 3,5,7, the odd harmonics such as 9,11, these harmonic waves make the Efficiency Decreasing of transmission and the utilization of electric energy, make electrical equipmentOverheated, generation is vibrated and noise, and makes insulation ag(e)ing, and shorten service life, even breaks down or burn.And if these humorous wave frequencies are as identical with the resonant frequency of power system, can cause the humorous of power systemShake, harmonic content is amplified, cause the serious distortion of harmonic wave, the running environment of severe exacerbation power system.
The main method of harmonic wave control is to adopt LC tuned filter, filter out a large amount of 3 in power system,5,7,9,11 odd harmonics, to reduce Harmfulness Caused by Harmonics. But because the parameter of LC tuned filter is fixed,And the state that puts into operation of non-linear equipment changes at any time in power system, comprise wave filter at interior electricityThe resonant frequency of power system also changes at any time, makes resonant frequency be difficult to avoid and odd harmonic frequencies phaseWith, causing system generation resonance, harmonic wave amplifies, and LC wave filter overload is even burnt.
Summary of the invention
The object of the invention is to propose a kind of resonant frequency iteration based on model frequency susceptibility shifts fromAdaptive filtering method, the method can well filter out the odd harmonic of power system, simultaneously can be dynamically,The resonant frequency of real-time adjustment power system, avoids power system generation harmonic resonance, better ensures electricityThe power supply quality of power system and safe and stable operation.
The present invention realizes its goal of the invention, and the technical scheme adopting is: a kind of based on model frequency susceptibilityResonant frequency iteration shift adaptive filter method, the steps include:
A, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, inputThe equivalent inductance of the topological structure of power system and the power system of calculating, equivalent capacity, equivalent resistance are calculatedGo out the original resonance frequency of power system, if the original resonance frequency drawing and power frequency 3,5,7,9 or11 overtones bands poor≤25Hz carries out the operation of b step; Otherwise processor is by the electricity of sef-adapting filterSense initial value, corresponding inductance end value, the electric capacity end value of being defined as of electric capacity initial value, carry out the operation of d step;
B, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, inputThe equivalent inductance of the topological structure of power system and the power system of calculating, equivalent capacity, equivalent resistance,Calculate the model frequency susceptibility of electric capacity in sef-adapting filter, the model frequency susceptibility of inductance, as electricityThe model frequency susceptibility holding carries out more greatly the iterative computation of resonant frequency taking electric capacity as iteration input value, no, carry out the iterative computation of resonant frequency taking inductance as iteration input value; The resonant frequency that iterative computation goes out isWhen the even-multiple of power frequency, corresponding capacitance or inductance value are definite revision capacitance or revision inductanceValue, then the frequency filtering of setting according to sef-adapting filter calculates calculating inductance corresponding to revision capacitanceValue, or the frequency filtering of setting according to sef-adapting filter calculates calculating electric capacity corresponding to revision inductance valueValue;
C, processor are according to revision capacitance and calculate inductance value or revision inductance value and calculate capacitance,Equivalent inductance, equivalent capacity, the equivalence of the topological structure of the power system of input and the power system of calculatingResistance calculates the revision resonant frequency of power system;
If 3,5,7,9 or 11 overtones bands of the revision resonant frequency drawing and power frequency poor≤25Hz,To revise capacitance and calculate inductance value or revise inductance value and calculate capacitance as sef-adapting filterInductance initial value, electric capacity initial value, re-execute the operation of b step;
Otherwise processor will be revised capacitance and calculate inductance value or revise inductance value and calculate capacitance trueBe decided to be inductance end value, the electric capacity end value of sef-adapting filter, carry out the operation of d step;
D, the corresponding capacitor of processor gauge tap matrix switching and inductor, the total capacitance value of switching etc.In final capacitance, the total inductance value of switching equals final inductance value.
Compared with prior art, the invention has the beneficial effects as follows:
First utilize modal analysis method to detect including sef-adapting filter according to NETWORK STRUCTURE PRESERVING POWER SYSTEMPower system resonant frequency, then utilizes the NETWORK STRUCTURE PRESERVING POWER SYSTEM parameter and the sef-adapting filter parameter that calculateDetermine the model frequency susceptibility of inductance and electric capacity in sef-adapting filter, and large with model frequency susceptibilityInductance or electric capacity as input value, the calculating that iterates taking resonant frequency as output valve, iteration calculatesThe resonant frequency of system is capacitance and the inductance of the even-multiple of power frequency or near the sef-adapting filter it timeValue. Thereby in ensureing that wave filter can filter out the odd harmonic of power system, dynamically according to electricityThe variation of power system running state, self adaptation regulates the parameter of wave filter, to adjust the resonance frequency of power systemRate makes it away from a large amount of odd harmonics that occur in power system, effectively avoids power system generation harmonic wave humorousShake, better ensure power supply quality and the safe and stable operation of power system.
Due in the interative computation of resonant frequency, choose the element that Modal sensitivity is large (inductance, electric capacity)Carry out interative computation as input value, therefore its interative computation fast convergence rate, iterations is few, calculating is multipleAssorted degree is low, real-time good.
In described b step, processor is according to inductance initial value, the electric capacity initial value of the sef-adapting filter of inputCalculate electric capacity in sef-adapting filter with equivalent inductance, equivalent capacity, the equivalent resistance of NETWORK STRUCTURE PRESERVING POWER SYSTEMThe specific practice of the model frequency susceptibility of model frequency susceptibility, inductance is:
In sef-adapting filter, the model frequency susceptibility of electric capacity is
df dC = - ( ∂ 2 | λ m | ∂ f ∂ C ) / ( ∂ 2 | λ m | ∂ f 2 )
In formula, f is original resonance frequency, and C is the electric capacity initial value in sef-adapting filter, λmFor electric powerThe inverse of the equivalent inductance of system architecture, equivalent capacity, equivalent resistance sum,For derivative operation,ForSecondary derivative operation.
In sef-adapting filter, the model frequency susceptibility of inductance is
df dL = - ( ∂ 2 | λ m | ∂ f ∂ L ) / ( ∂ 2 | λ m | ∂ f 2 )
In formula, f is original resonance frequency, and L is the inductance initial value in sef-adapting filter, λmFor electric powerThe inverse of the equivalent inductance of system architecture, equivalent capacity, equivalent resistance sum,For derivative operation,ForSecondary derivative operation.
Like this by resonant frequency to the derivative of electric capacity or inductance the model frequency sensitivity as electric capacity or inductanceDegree, it calculates simple, also can well react the variation of electric capacity or inductance to the journey that affects of resonant frequency simultaneouslyDegree.
In described b step, carry out the iterative computation of resonant frequency taking electric capacity as iteration input value, or with inductanceThe iterative formula of carrying out the iterative computation of resonant frequency for transformed value is:
a ( k + 1 ) = a ( k ) [ 1 + h ( k ) / J ( k ) ] = a ( k ) [ 1 + ( f ( k ) - f 0 ) / ∂ f ( k ) ∂ α ( k ) ]
A in formula(k)Be capacitance or the inductance value that the k time iteration goes out, a(k+1)Be the electric capacity that the k+1 time iteration goes outValue or inductance value, f(k)Be the resonant frequency value that the k time iteration goes out, f0For with f(k)The even number of immediate power frequencyOvertones band.
By this operation method, can calculate simply, fast the even number that iteration resonant frequency is power frequencyCapacitance and the inductance value of near the sef-adapting filter doubly or it time.
Detailed description of the invention
Embodiment
A kind of detailed description of the invention of the present invention is, a kind of resonant frequency iteration based on model frequency susceptibilityThe adaptive filter method shifting, the steps include:
A, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, inputThe equivalent inductance of the topological structure of power system and the power system of calculating, equivalent capacity, equivalent resistance are calculatedGo out the original resonance frequency of power system, if the original resonance frequency drawing and power frequency 3,5,7,9 or11 overtones bands poor≤25Hz carries out the operation of b step; Otherwise processor is by the electricity of sef-adapting filterSense initial value, corresponding inductance end value, the electric capacity end value of being defined as of electric capacity initial value, carry out the operation of d step;
B, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, inputThe equivalent inductance of the topological structure of power system and the power system of calculating, equivalent capacity, equivalent resistance,Calculate the model frequency susceptibility of electric capacity in sef-adapting filter, the model frequency susceptibility of inductance.
Processor is according to the inductance initial value of the sef-adapting filter of input, electric capacity initial value and power system knotThe equivalent inductance of structure, equivalent capacity, equivalent resistance calculate the model frequency sensitivity of electric capacity in sef-adapting filterThe specific practice of the model frequency susceptibility of degree, inductance is:
In sef-adapting filter, the model frequency susceptibility of electric capacity is
df dC = - ( ∂ 2 | λ m | ∂ f ∂ C ) / ( ∂ 2 | λ m | ∂ f 2 )
In formula, f is original resonance frequency, and C is the electric capacity initial value in sef-adapting filter, λmFor electric powerThe inverse of the equivalent inductance of system architecture, equivalent capacity, equivalent resistance sum,For derivative operation,ForSecondary derivative operation.
In sef-adapting filter, the model frequency susceptibility of inductance is
df dL = - ( ∂ 2 | λ m | ∂ f ∂ L ) / ( ∂ 2 | λ m | ∂ f 2 )
In formula, f is original resonance frequency, and L is the inductance initial value in sef-adapting filter, λmFor electric powerThe inverse of the equivalent inductance of system architecture, equivalent capacity, equivalent resistance sum,For derivative operation,ForSecondary derivative operation.
As the model frequency susceptibility of electric capacity carries out more greatly changing of resonant frequency taking electric capacity as iteration input valueIn generation, calculates, otherwise, carry out the iterative computation of resonant frequency taking inductance as iteration input value; Iterative computation goes outWhen resonant frequency is the even-multiple of power frequency, corresponding capacitance or inductance value be definite revision capacitance orRevision inductance value, then the frequency filtering of setting according to sef-adapting filter calculates meter corresponding to revision capacitanceCalculate inductance value, or the frequency filtering of setting according to sef-adapting filter calculates meter corresponding to revision inductance valueCalculate capacitance.
Carry out the iterative computation of resonant frequency taking electric capacity as iteration input value, or carry out taking inductance as transformed valueThe iterative formula of the iterative computation of resonant frequency is:
a ( k + 1 ) = a ( k ) [ 1 + h ( k ) / J ( k ) ] = a ( k ) [ 1 + ( f ( k ) - f 0 ) / ∂ f ( k ) ∂ α ( k ) ]
A in formula(k)Be capacitance or the inductance value that the k time iteration goes out, a(k+1)Be the electric capacity that the k+1 time iteration goes outValue or inductance value, f(k)Be the resonant frequency value that the k time iteration goes out, f0For with f(k)The even number of immediate power frequencyOvertones band.
C, processor are according to revision capacitance and calculate inductance value or revision inductance value and calculate capacitance,Equivalent inductance, equivalent capacity, the equivalence of the topological structure of the power system of input and the power system of calculatingResistance calculates the revision resonant frequency of power system;
If 3,5,7,9 or 11 overtones bands of the revision resonant frequency drawing and power frequency poor≤25Hz,To revise capacitance and calculate inductance value or revise inductance value and calculate capacitance as sef-adapting filterInductance initial value, electric capacity initial value, re-execute the operation of b step;
Otherwise processor will be revised capacitance and calculate inductance value or revise inductance value and calculate capacitance trueBe decided to be inductance end value, the electric capacity end value of sef-adapting filter, carry out the operation of d step;
D, the corresponding capacitor of processor gauge tap matrix switching and inductor, the total capacitance value of switching etc.In final capacitance, the total inductance value of switching equals final inductance value.
The computational methods of original resonance frequency f in the present invention are prior art. As adopted following methods meterCalculate:
According to Modal Analysis Theory, there is following equation:
V F = Y F - 1 I F
In formula, YFFor the system node admittance at frequency F place (inverse of impedance) matrix; VF、IFRespectivelyFor node voltage, Injection Current vector.
By system node admittance matrix YFCarry out Diagonalization Decomposition, obtain diagonal angle eigenvalue matrix Λ, that is:
YF＝lΛt，Λ＝diag(λ1，λ2，…，λk)，
In formula, k is system node number; L, t is respectively left and right eigenvectors matrix, and l=t-1, diag tableShow diagonal matrix. When leveling off to when unusual, diagonal angle eigenvalue matrix Λ (have the node that node voltage is very high to deposit), corresponding frequency F is original resonance frequency f.

Claims (1)

1. the adaptive filter method that the resonant frequency iteration based on model frequency susceptibility shifts, the steps include:
A, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, the topological structure of the power system of input and equivalent inductance, equivalent capacity, the equivalent resistance of the power system calculated calculate the original resonance frequency of power system, if 3,5,7,9 or 11 overtones bands of the original resonance frequency drawing and power frequency poor≤25Hz carries out the operation that b walks; Otherwise processor, by the inductance initial value of sef-adapting filter, corresponding inductance end value, the electric capacity end value of being defined as of electric capacity initial value, is carried out the operation of d step;
B, processor are according to inductance initial value, the electric capacity initial value of the sef-adapting filter of input, equivalent inductance, equivalent capacity, the equivalent resistance of the topological structure of the power system of input and the power system of calculating, calculate the model frequency susceptibility of electric capacity in sef-adapting filter, the model frequency susceptibility of inductance, iterative computation of carrying out resonant frequency taking electric capacity as iteration input value as larger in the model frequency susceptibility of electric capacity, otherwise, carry out the iterative computation of resonant frequency taking inductance as iteration input value; When the resonant frequency that iterative computation goes out is the even-multiple of power frequency, corresponding capacitance or inductance value are definite revision capacitance or revision inductance value, the frequency filtering of setting according to sef-adapting filter again calculates calculating inductance value corresponding to revision capacitance, or the frequency filtering of setting according to sef-adapting filter calculates calculating capacitance corresponding to revision inductance value;
The specific practice that described processor calculates the model frequency susceptibility of model frequency susceptibility, the inductance of electric capacity in sef-adapting filter according to equivalent inductance, equivalent capacity, the equivalent resistance of inductance initial value, electric capacity initial value and NETWORK STRUCTURE PRESERVING POWER SYSTEM of the sef-adapting filter of input is:
In sef-adapting filter, the model frequency susceptibility of electric capacity is
In formula, f is original resonance frequency, and C is the electric capacity initial value in sef-adapting filter, λmFor the inverse of the equivalent inductance of NETWORK STRUCTURE PRESERVING POWER SYSTEM, equivalent capacity, equivalent resistance sum,For derivative operation,For secondary derivative operation;
In sef-adapting filter, the model frequency susceptibility of inductance is
In formula, f is original resonance frequency, and L is the inductance initial value in sef-adapting filter, λmFor the inverse of the equivalent inductance of NETWORK STRUCTURE PRESERVING POWER SYSTEM, equivalent capacity, equivalent resistance sum,For derivative operation,For secondary derivative operation;
C, processor are according to revision capacitance and calculating inductance value or revision inductance value and calculating capacitance, and equivalent inductance, equivalent capacity, the equivalent resistance of the topological structure of the power system of input and the power system of calculating calculate the revision resonant frequency of power system;
If 3,5,7,9 or 11 overtones bands of the revision resonant frequency drawing and power frequency poor≤25Hz,, using revising capacitance and calculating inductance value or revision inductance value and inductance initial value, the electric capacity initial value of calculating capacitance as sef-adapting filter, re-execute the operation of b step;
Otherwise processor is by revision capacitance and calculating inductance value or revise inductance value and calculate capacitance the inductance end value, the electric capacity end value that are defined as sef-adapting filter, carries out the operation that d walks;
D, the corresponding capacitor of processor gauge tap matrix switching and inductor, the total capacitance value of switching equals final capacitance, and the total inductance value of switching equals final inductance value.
CN201310389953.7A 2013-08-31 2013-08-31 The adaptive filter method that resonant frequency iteration based on model frequency susceptibility shifts Active CN103580025B (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1710771A (en) * 2005-07-08 2005-12-21 湖南大学 Resonant-impedance type hybrid active electric filter and control method thereof
CN102545225A (en) * 2012-01-16 2012-07-04 广西电网公司电力科学研究院 High-voltage parallel hybrid active power filter and iterative learning control method with forgetting factor
JP2013074691A (en) * 2011-09-27 2013-04-22 Toshiba Corp Harmonic resonance avoidance system of ac power transmission system

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1710771A (en) * 2005-07-08 2005-12-21 湖南大学 Resonant-impedance type hybrid active electric filter and control method thereof
JP2013074691A (en) * 2011-09-27 2013-04-22 Toshiba Corp Harmonic resonance avoidance system of ac power transmission system
CN102545225A (en) * 2012-01-16 2012-07-04 广西电网公司电力科学研究院 High-voltage parallel hybrid active power filter and iterative learning control method with forgetting factor

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Effective date of registration: 20180823

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