CN107064646A - A kind of electric network impedance real-time identification method for multiple-input and multiple-output asymmetric system - Google Patents

A kind of electric network impedance real-time identification method for multiple-input and multiple-output asymmetric system Download PDF

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CN107064646A
CN107064646A CN201710367062.XA CN201710367062A CN107064646A CN 107064646 A CN107064646 A CN 107064646A CN 201710367062 A CN201710367062 A CN 201710367062A CN 107064646 A CN107064646 A CN 107064646A
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CN107064646B (en
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李红
丁欣
任晓彤
韩超
杨再学
杨柳林
黄洪全
陈延明
莫里克
吴慧芳
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Guangxi University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/08Measuring resistance by measuring both voltage and current
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/16Measuring impedance of element or network through which a current is passing from another source, e.g. cable, power line

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Abstract

The invention discloses a kind of electric network impedance real-time identification method of multiple-input and multiple-output asymmetric system, including:PCC point three-phase networking electric currents are obtained by current sensor;In dsp respectively by the three-phase current i collecteda,ib,icCoordinate transform is carried out, the electric current under two cordic phase rotators is obtained;Produce the orthogonal-binary sequence with two signals;In the reference current that orthogonal-binary sequence is injected to power network current d axles and q by digital obtaining unit;Measurement line voltage and power frequency respond and are broken down into positive sequence and negative sequence component;Calculate and obtain electric network impedance.The problem of off-line identification stability is not enough in the prior art is solved, and shortens time of measuring.

Description

A kind of electric network impedance real-time identification method for multiple-input and multiple-output asymmetric system
Technical field
The invention belongs to electric and electronic technical field, it is related to a kind of real-time impedance identification side of multi-input multi-output system Method.
Background technology
Real-time identification impedance can be roughly divided into parametrization and imparametrization method, and nonparametric frequency domain method is in electric network impedance Extensive use in identification and stability analysis.Different with parametric method, nonparametric technique needs to assume a system model, and And only select that an excitation.By excitation injection power network and recognize electric network impedance using it.In stable state, measurement electric current and voltage Respond and carry out Fourier transformation analysis.
With the change and the limitation of fossil fuel of weather, distributed power generation is becoming increasingly popular, inverter output impedance The problem of harmonic response that mismatch between electric network impedance causes therebetween is one very main.Research in recent years is all It has been shown that, the impedance by measuring power network and inverter can avoid unstable situation, and inverse to change based on these parameters Become the design parameter of device.According to identification technique, off-line identification and on-line identification can be divided into, offline impedance is recognized it is impossible to ensure that being The stability of system, because the impedance of power network and inverter is real-time change.Research in recent years is also increasingly tended in real time Impedance is recognized, and real-time impedance identification is compared to offline impedance identification speed faster.Accordingly, it would be desirable to be improved to prior art.
The content of the invention
The present invention proposes a kind of method of the real-time impedance identification based on multi-input multi-output system, solves existing skill The problem of off-line identification stability is not enough in art, and shorten time of measuring.
To realize above-mentioned technical purpose and the technique effect, the present invention is achieved through the following technical solutions.
Step 1, PCC point three-phase networking electric currents i is obtained respectively by current sensora,ib,ic
Step 2, the three-phase current i collected in dspa, ib, icCoordinate transform is carried out, is obtained under two cordic phase rotators Electric current, i.e. id,iq
Step 3, the orthogonal-binary sequence with two signals is produced:
The generation (d axles Injection Signal) of primary signal:DIBS signal amplitudes switch between being worth at 1 and -1 two, make Ab (t) For periodicity real number binary sequence.A amplitudes, then the Fourier transform expression formula of its k subharmonic be
Designed DIBS sequence signals are defined as:
By Matlab simulation softwares, optimization problem is solved, and by the sequence under specific frequency with the shape of code table Formula is stored in dsp, is called during to inject.
Q axles inject the generation of reference signal sequence:The addition sequence 01010 ... of mould 2 forms the input of q axles into primary signal The disturbance of reference signal, storage in dsp, is called during to inject in the form of code table.
Step 4, while orthogonal-binary sequence is injected into power network current d axles and q reference electricity by digital obtaining unit In stream;
Step 5, measurement line voltage and power frequency respond and are broken down into positive sequence and negative sequence component, and decomposition formula is such as Under:
The decomposition of current-responsive:
Wherein p, n represent positive sequence and negative phase-sequence, a=e respectivelyj2π/3
Because ic=-ia-ib, introduce matrix:
Then have:
The decomposition of voltage responsive:
By vca=-vab-vbc, introduce matrix:
Then, the positive-negative sequence of voltage component can be reduced to:
Step 6, the impedance components coupled for positive-negative sequence, have:
Produce electric network impedance:
Wherein, x, y represent the response of two orthogonal-binary sequence injections respectively.
Beneficial effects of the present invention are:(1) existing off-line identification is solved it cannot be guaranteed that the problem of the stability of a system;(2) Reasonable in design, usability is strong, simple to operate;(3) relative to traditional single input/mono- output e measurement technology, system dynamic is overcome The shortcoming of characteristic variations;Shorten time of measuring.
Brief description of the drawings
Fig. 1 is the block diagram of real-time impedance device for identifying.
Fig. 2 is impedance discrimination method flow chart of steps.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, below in conjunction with accompanying drawing and example, to this Invention is further elaborated.
As shown in figure 1, direct voltage source passes through three-phase grid-connected inverter, direct current is converted into three-phase alternating current through filtering After wave apparatus and in power network, current sensor collection networking current information, voltage sensor collection networking information of voltage.
The discrimination method of the present invention is transformed to the magnitude of current under dq coordinates by the way that the networking collected electric current is carried out into coordinate, Orthogonal-binary sequence is injected at the reference current of d, q axle simultaneously by DSP, analysis power network current and voltage responsive, respectively Positive-negative sequence composition is broken down into, the positive and negative order components responded according to Current Voltage obtain electric network impedance.
It is the identification step of the present invention, details are as follows for identification process with reference to shown in Fig. 2:
Step 1, PCC point three-phase networking electric currents i is obtained by current sensora,ib,ic
Step 2, in dsp by the three-phase current i collecteda,ib,icCoordinate transform is carried out, is obtained under two cordic phase rotators Electric current, i.e. id,iq
Step 3, the orthogonal-binary sequence with two signals is produced:
The generation (d axles Injection Signal) of primary signal:DIBS signal amplitudes switch between being worth at 1 and -1 two, make Ab (t) For periodicity real number binary sequence.A is amplitude, then the Fourier transform expression formula of its k subharmonic is:
Designed DIBS sequence signals are defined as:
By Matlab simulation softwares, optimization problem is solved, and by the sequence under specific frequency with the shape of code table Formula is stored in dsp, is called during to inject.
Q axles inject the generation of reference signal sequence:The addition sequence 01010 ... of mould 2 forms the input of q axles into primary signal The disturbance of reference signal, storage in dsp, is called during to inject in the form of code table.
Step 4, while orthogonal-binary sequence to be injected to the reference current of power network d axles and q axles by digital obtaining unit;
Step 5, measurement line voltage and power frequency respond and are broken down into positive sequence and negative sequence component is (assuming that three contraries It is infinite to become device zero-sequence component, i.e., power network connected mode is three-wire system), decomposition formula is as follows:
The decomposition of current-responsive:
P, n represent positive sequence and negative phase-sequence respectively;
Because ic=-ia-ib, introduce matrix:
Then have:
The decomposition of voltage responsive:
By vca=-vab-vbc, introduce matrix:
Then, the positive-negative sequence of voltage component can be reduced to:
Step 6, the impedance components coupled for positive-negative sequence, have:
Produce electric network impedance:
Wherein, x, y represent the response of two orthogonal-binary sequence injections respectively.
Merely illustrating the principles of the invention described in above-described embodiment and specification and most preferred embodiment, are not departing from this On the premise of spirit and scope, the present invention can also various changes and modifications, these changes and improvements both fall within claimed The scope of the invention in.

Claims (1)

1. a kind of electric network impedance real-time identification method for multiple-input and multiple-output asymmetric system, direct voltage source passes through inversion Device, then PCC points are incorporated to after device after filtering, the electric network impedance real-time identification method includes:
Step 1, PCC point three-phase networking electric currents i is obtained by current sensora,ib,ic
Step 2, in dsp respectively by the three-phase current i collecteda,ib,icCoordinate transform is carried out, is obtained under two cordic phase rotators Electric current be id,iq
Step 3, the orthogonal-binary sequence with two signals is produced:The generation (d axles Injection Signal) of primary signal:DIBS believes Number amplitude switches between being worth at 1 and -1 two, and it is periodicity real number binary sequence to make Ab (t).A amplitudes, then its k subharmonic Fourier transform expression formula is:
<mrow> <msub> <mi>C</mi> <mrow> <mi>b</mi> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mi>A</mi> <mi>T</mi> </mfrac> <msubsup> <mo>&amp;Integral;</mo> <mn>0</mn> <mi>T</mi> </msubsup> <mi>b</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mn>2</mn> <mi>&amp;pi;</mi> <mi>j</mi> <mi>k</mi> <mi>t</mi> <mo>/</mo> <mi>T</mi> </mrow> </msup> <mi>d</mi> <mi>t</mi> </mrow>
Designed DIBS sequence signals are defined as:
<mrow> <mover> <mi>A</mi> <mo>^</mo> </mover> <mo>=</mo> <mfrac> <mn>1</mn> <mi>N</mi> </mfrac> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </munderover> <mrow> <mo>|</mo> <msub> <mi>d</mi> <mi>n</mi> </msub> <mo>|</mo> </mrow> </mrow>
By Matlab simulation softwares, optimization problem is solved, and the sequence under specific frequency is deposited in the form of code table Storage in dsp, is called during to inject.
Q axles inject the generation of reference signal sequence:The addition sequence 01010 ... of mould 2 forms the input reference of q axles into primary signal The disturbance of signal, storage in dsp, is called during to inject in the form of code table.
Step 4, while orthogonal-binary sequence to be injected to the reference current of power network current d axles and q axles by digital obtaining unit In;
Step 5, measurement line voltage and power frequency respond and are broken down into positive sequence and negative sequence component decomposition formula is as follows:
The decomposition of current-responsive:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>I</mi> <mi>p</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>n</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mi>a</mi> </mtd> <mtd> <msup> <mi>a</mi> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <msup> <mi>a</mi> <mn>2</mn> </msup> </mtd> <mtd> <mi>a</mi> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>I</mi> <mi>a</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>b</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>c</mi> </msub> </mtd> </mtr> </mtable> </mfenced> </mrow>
Wherein p, n represent positive sequence and negative phase-sequence, a=e respectivelyj2π/3
Because ic=-ia-ib, introduce matrix:
<mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>6</mn> </mrow> </msup> </mtd> <mtd> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mtd> </mtr> <mtr> <mtd> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>6</mn> </mrow> </msup> </mtd> <mtd> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mtd> </mtr> </mtable> </mfenced> </mrow>
Then have:
The decomposition of voltage responsive:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>V</mi> <mi>p</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mi>n</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>3</mn> <msqrt> <mn>3</mn> </msqrt> </mrow> </mfrac> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>6</mn> </mrow> </msup> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>6</mn> </mrow> </msup> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mi>a</mi> </mtd> <mtd> <msup> <mi>a</mi> <mn>2</mn> </msup> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <msup> <mi>a</mi> <mn>2</mn> </msup> </mtd> <mtd> <mi>a</mi> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>V</mi> <mrow> <mi>a</mi> <mi>b</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mrow> <mi>b</mi> <mi>c</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mrow> <mi>c</mi> <mi>a</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> </mrow>
By vca=-vab-vbc, introduce matrix
<mrow> <msub> <mi>S</mi> <mi>v</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mn>3</mn> </msqrt> </mfrac> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mi>&amp;pi;</mi> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mtd> </mtr> </mtable> </mfenced> </mrow>
Then, the positive and negative order components of voltage component can be reduced to:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>V</mi> <mi>p</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mi>n</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <msub> <mi>S</mi> <mi>v</mi> </msub> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>V</mi> <mrow> <mi>a</mi> <mi>b</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mrow> <mi>b</mi> <mi>c</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> </mrow>
Step 6, the impedance components coupled for positive-negative sequence, have
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>V</mi> <mi>p</mi> </msub> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mtd> </mtr> <mtr> <mtd> <msub> <mi>V</mi> <mi>n</mi> </msub> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mi>p</mi> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>p</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>n</mi> <mi>p</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>Z</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>I</mi> <mi>p</mi> </msub> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>n</mi> </msub> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mtd> </mtr> </mtable> </mfenced> </mrow>
Produce electric network impedance:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mi>p</mi> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>p</mi> <mi>n</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>Z</mi> <mrow> <mi>n</mi> <mi>p</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>Z</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>V</mi> <mrow> <mi>p</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>V</mi> <mrow> <mi>p</mi> <mi>y</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>V</mi> <mrow> <mi>n</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>V</mi> <mrow> <mi>n</mi> <mi>y</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <msup> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>I</mi> <mrow> <mi>p</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>I</mi> <mrow> <mi>p</mi> <mi>y</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>I</mi> <mrow> <mi>n</mi> <mi>x</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi>I</mi> <mrow> <mi>n</mi> <mi>y</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow>
Wherein, x, y represent the response of two orthogonal-binary sequence injections respectively.
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CN112567584A (en) * 2018-08-20 2021-03-26 西门子股份公司 Grid impedance estimation for power converter controller
CN112861315A (en) * 2021-01-11 2021-05-28 广西大学 One-dimensional descent search method for non-convex single-target optimal power flow global solution of power system
CN113743806A (en) * 2021-09-09 2021-12-03 广西康耐肯特科技有限公司 Method for searching non-convex dual-target optimal power flow global solution of power system

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