CN107492894A - A kind of node voltage static stability appraisal procedure of the power system containing wind power plant - Google Patents

A kind of node voltage static stability appraisal procedure of the power system containing wind power plant Download PDF

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CN107492894A
CN107492894A CN201710788835.1A CN201710788835A CN107492894A CN 107492894 A CN107492894 A CN 107492894A CN 201710788835 A CN201710788835 A CN 201710788835A CN 107492894 A CN107492894 A CN 107492894A
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蒋慧
戴文俊
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Huainan Union University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/16Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation

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Abstract

The present invention specifically provides a kind of node voltage static stability appraisal procedure of power system containing wind power plant.The diagonal element span of the depression of order Jacobian matrix of voltage power-less equation after methods described selection linearization process is the Credibility Assessment index of static electric voltage stability, and obtains the node voltage relative stability fuzzy evaluation matrix of single sampling using credible inversion theory and fuzzy simulation.Comprise the concrete steps that the wind speed that will be collected and node inject active and reactive parameter, calculate the diagonal element of the depression of order Jacobian matrix of voltage power-less equation;Randomly selecting certain, once all diagonal elements are normalized, judge whether element is out-of-limit in processing procedure, if the out-of-limit credibility for directly judging voltage stabilization is 0, otherwise the degree of membership of the affiliated grade of each element and the credibility of the stable grade of each node voltage are calculated, eventually forms the stable grade fuzzy evaluation matrix of this sampling.

Description

A kind of node voltage static stability appraisal procedure of the power system containing wind power plant
Technical field
The present invention relates to wind-electricity integration technical field, and in particular to a kind of each node voltage of power system containing wind power plant is quiet State stability assessment method.
Background technology
Wind energy is had been applied in wind-power electricity generation as renewable and clean energy resource.It is but random due to wind-power electricity generation Property and intermittence so that the power output of wind power plant has stochastic volatility, when wind farm grid-connected after, will influence whole power train The stability of system.Wherein, voltage stabilization sex chromosome mosaicism receives much concern.Because wind power plant mostly use double fed induction generators, it is necessary to System provides reactive power support, while its power output random fluctuation, if control is improper, it is possible to cause the voltage of small grids Unstability.
Traditional Voltage stability analysis method is all based on the model determined, and carries out a system because of the model determined The hypothesis of row so that the result of analysis less meets reality.Therefore, the method that researcher proposes probability statistics carries out voltage The analysis of stability and assess to overcome the influence of enchancement factor.By Literature Consult, the currently used main Meng Teka of method The methods of Luo Fa, analytic method and approximation method.Monte Carlo Method needs to carry out substantial amounts of random sampling, and sample space is big, calculates It is time-consuming.Analytic method needs to linearize the relation between each stochastic variable, and common method is Cumulants method.Approximation method needs The statistical property of unknown variable is asked for using approximate formula under the premise of clear and definite stochastic variable probability distribution.Therefore, for The analysis that wind-force randomness influences on power system steady state voltage stability, the above method have weak point.
The content of the invention
It is an object of the invention to provide a kind of node voltage static stability appraisal procedure of power system containing wind power plant, Overcome influence of the random parameter distribution function type to static voltage stability analysis result, and assessment in real time can be realized.
In order to achieve the above object, the present invention is achieved by the following technical solutions:
A kind of node voltage static stability appraisal procedure of power system containing wind power plant, choose the electricity after linearization process The diagonal element span for pressing the depression of order Jacobian matrix of idle equation is the Credibility Assessment index of static electric voltage stability, And obtain the node voltage relative stability fuzzy evaluation matrix of single sampling using credible inversion theory and fuzzy simulation.
A kind of node voltage static stability appraisal procedure of power system containing wind power plant, specifically includes following steps:
Step 1:Data acquisition and storage, include real-time air speed value and systematic parameter;
Step 2:Calculate depression of order Jacobian matrix diagonal element;
Integrated power system power flow equation and voltage power-less sensitivity method draw power system linearisation static power electricity Press equation:
Assuming that the active power injection of node is constant, i.e. Δ P=0, then obtain node voltage amplitude and the micro- increasing of reactive power Measure the linear relationship of change:
JSFor the Jacobian matrix of depression of order, its diagonal element f (v)iFor the voltage power-less sensitivity of each node;
Step 3:Diagonal element is normalized;
To be sampled diagonal element f (v) corresponding to obtained each node every timeiIt is normalized to section [0,1];
Step 4:Calculate the degree of membership of the affiliated grade of diagonal element;
3 fuzzy variable ξ are defined in domain [0,1]H、ξM、ξLCommented as highly stable, general stabilization, neutrality three Estimate grade.Calculate each diagonal element and belong to the degrees of membership of three evaluation grades and be:
Step 5:It is credible to calculate voltage stabilization grade;
According to credible inversion theory, have for any set of real numbers A
It is credible to calculate the stable grade of each node voltage:
Step 6:Form voltage relative stability evaluating matrix;
Credible according to the stable grade of each node voltage, the voltage stability for forming obtained each node of sampling every time is commented Estimate matrix:
As a kind of relative stability appraisal procedure of Electric Power System Node Voltage containing wind power plant, the present invention has following excellent Point:
1. carry out the analysis of voltage stability using the method for probability statistics and assess to overcome the influence of enchancement factor.
2. the relative stability of each voltage node during sampling every time, and it is weaker according to assessment result regulation voltage stability Node it is idle.
Brief description of the drawings
Fig. 1 is a kind of calculation process of the node voltage static stability appraisal procedure of the power system containing wind power plant of the present invention Figure.
Fig. 2 is Jacobian matrix diagonal element normalized flow chart of the present invention.
Fig. 3 is the IEEE14 node power system diagrams of the invention containing wind power plant.
Embodiment:
In order to deepen the understanding of the present invention, present invention work is further retouched in detail below in conjunction with drawings and examples State, the embodiment is only used for explaining the present invention, and protection scope of the present invention is not formed and limited.
The present invention is achieved by the following technical solutions:
A kind of node voltage static stability appraisal procedure of power system containing wind power plant, choose the electricity after linearization process The diagonal element span for pressing the depression of order Jacobian matrix of idle equation is the Credibility Assessment index of static electric voltage stability, And obtain the node voltage relative stability fuzzy evaluation matrix of single sampling using credible inversion theory and fuzzy simulation.
A kind of node voltage static stability appraisal procedure of power system containing wind power plant, specifically includes following steps:
Step 1:Data acquisition and storage, include real-time air speed value and systematic parameter;
Step 2:Calculate depression of order Jacobian matrix diagonal element;
Integrated power system power flow equation and voltage power-less sensitivity method draw power system linearisation static power electricity Press equation:
Assuming that the active power injection of node is constant, i.e. Δ P=0, then obtain node voltage amplitude and the micro- increasing of reactive power Measure the linear relationship of change:
JSFor the Jacobian matrix of depression of order, its diagonal element f (v)iFor the voltage power-less sensitivity of each node;
Step 3:Diagonal element is normalized;
To be sampled diagonal element f (v) corresponding to obtained each node every timeiIt is normalized to section [0,1];
Step 4:Calculate the degree of membership of the affiliated grade of diagonal element;
3 fuzzy variable ξ are defined in domain [0,1]H、ξM、ξLCommented as highly stable, general stabilization, neutrality three Estimate grade.Calculate each diagonal element and belong to the degrees of membership of three evaluation grades and be:
Step 5:It is credible to calculate voltage stabilization grade;
According to credible inversion theory, have for any set of real numbers A
It is credible to calculate the stable grade of each node voltage:
Step 6:Form voltage relative stability evaluating matrix;
Credible according to the stable grade of each node voltage, the voltage stability for forming obtained each node of sampling every time is commented Estimate matrix:
The present invention uses the IEEE14 node powers system containing wind power plant as shown in Figure 3 as a kind of power train containing wind power plant The node voltage static stability appraisal procedure preferred embodiment of system.
The step according to Fig. 1, the data from the sample survey of one group of all voltage node is randomly choosed from sample space, such as table 1 It is shown:
The data from the sample survey of table 1
According to normalized flow shown in Fig. 2, it is as shown in table 2 to obtain the data after normalized.
Data after the normalized of table 2
According to step 4 shown in Fig. 1,5,6, the evaluating matrix of each node voltage static stability of this sampling is obtained with table The form of lattice represents, such as table 3.
The static electric voltage stability fuzzy evaluation matrix of table 3
From table 3 it can be seen that this sampling time, node 1 shown in Fig. 3,4 to belong to highly stable credibility be 1;Node 2nd, 8 to be under the jurisdiction of highly stable credibility also very high;The credibility that node 5,6,9,10,11,13 belongs to typically stable is high, wherein The credibility of node 10,11,13 is 1;The credibility that node 3,7,14 belongs to neutrality is high, and the stability of its interior joint 3 is It is worst in 10 nodes;The credible neutrality of node 12 is 0.567, is partial to neutrality.Therefore by shown in table 3 Each voltage node of evaluating matrix when can be sampled every time relative stability, and it is steady according to assessment result to adjust voltage It is qualitative idle compared with weak bus.

Claims (2)

1. the node voltage static stability appraisal procedure of a kind of power system containing wind power plant, it is characterised in that choose linearisation The diagonal element span of the depression of order Jacobian matrix of voltage power-less equation after processing is credible for static electric voltage stability Property evaluation index, and the node voltage relative stability for being obtained using credible inversion theory and fuzzy simulation single sampling is obscured Evaluating matrix.
2. one kind static stability appraisal procedure of Electric Power System Node Voltage containing wind power plant according to claim 1, it is special Sign is to comprise the following steps:
Step 1:Data acquisition and storage, include real-time air speed value and systematic parameter;
Step 2:Calculate depression of order Jacobian matrix diagonal element;
Integrated power system power flow equation and voltage power-less sensitivity method draw power system linearisation static power voltage side Journey:
<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>P</mi> </mtd> </mtr> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>Q</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>J</mi> <mrow> <mi>P</mi> <mi>&amp;theta;</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>J</mi> <mrow> <mi>P</mi> <mi>U</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>J</mi> <mrow> <mi>Q</mi> <mi>&amp;theta;</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>J</mi> <mrow> <mi>Q</mi> <mi>U</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>&amp;theta;</mi> </mtd> </mtr> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>U</mi> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mi>J</mi> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>&amp;theta;</mi> </mtd> </mtr> <mtr> <mtd> <mi>&amp;Delta;</mi> <mi>U</mi> </mtd> </mtr> </mtable> </mfenced> </mrow>
Assuming that the active power of node injects constant, i.e. Δ P=0, then obtain node voltage amplitude and become with reactive power Tiny increment dt The linear relationship of change:
<mrow> <mi>&amp;Delta;</mi> <mi>U</mi> <mo>=</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <msub> <mi>J</mi> <mrow> <mi>Q</mi> <mi>U</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>J</mi> <mrow> <mi>Q</mi> <mi>&amp;theta;</mi> </mrow> </msub> <msubsup> <mi>J</mi> <mrow> <mi>P</mi> <mi>&amp;theta;</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>J</mi> <mrow> <mi>P</mi> <mi>U</mi> </mrow> </msub> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mi>&amp;Delta;</mi> <mi>Q</mi> <mo>=</mo> <msub> <mi>J</mi> <mi>S</mi> </msub> <mi>&amp;Delta;</mi> <mi>Q</mi> </mrow>
JSFor the Jacobian matrix of depression of order, its diagonal element f (v)iFor the voltage power-less sensitivity of each node;
Step 3:Diagonal element is normalized;
To be sampled diagonal element f (v) corresponding to obtained each node every timeiIt is normalized to section [0,1];
Step 4:Calculate the degree of membership of the affiliated grade of diagonal element;
3 fuzzy variable ξ are defined in domain [0,1]H、ξM、ξLAs three highly stable, general stabilization, neutrality assessments etc. Level.Calculate each diagonal element and belong to the degrees of membership of three evaluation grades and be:
Step 5:It is credible to calculate voltage stabilization grade;
According to credible inversion theory, have for any set of real numbers A
<mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>&amp;xi;</mi> <mo>&amp;Element;</mo> <mi>A</mi> <mo>}</mo> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <munder> <mrow> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> <mrow> <mi>x</mi> <mo>&amp;Element;</mo> <mi>A</mi> </mrow> </munder> <msub> <mi>&amp;mu;</mi> <mi>&amp;xi;</mi> </msub> <mo>(</mo> <mi>x</mi> <mo>)</mo> <mo>-</mo> <munder> <mrow> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> <mrow> <mi>x</mi> <mo>&amp;Element;</mo> <msup> <mi>A</mi> <mi>c</mi> </msup> </mrow> </munder> <msub> <mi>&amp;mu;</mi> <mi>&amp;xi;</mi> </msub> <mo>(</mo> <mi>x</mi> <mo>)</mo> <mo>)</mo> </mrow> </mrow>
It is credible to calculate the stable grade of each node voltage:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> <mo>}</mo> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;mu;</mi> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> </msub> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>+</mo> <mn>1</mn> <mo>-</mo> <munder> <mrow> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>&amp;NotEqual;</mo> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> </mrow> </munder> <mi>&amp;mu;</mi> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> <mo>}</mo> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;mu;</mi> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> </msub> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>+</mo> <mn>1</mn> <mo>-</mo> <munder> <mrow> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>&amp;NotEqual;</mo> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> </mrow> </munder> <mi>&amp;mu;</mi> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> <mo>}</mo> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>&amp;mu;</mi> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> </msub> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>+</mo> <mn>1</mn> <mo>-</mo> <munder> <mrow> <mi>s</mi> <mi>u</mi> <mi>p</mi> </mrow> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mo>&amp;NotEqual;</mo> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> </mrow> </munder> <mi>&amp;mu;</mi> <mo>(</mo> <mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> </mrow> <mo>)</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> </mfenced>
Step 6:Form voltage relative stability evaluating matrix;
Credible according to the stable grade of each node voltage, the voltage stability for forming obtained each node of sampling every time assesses square Battle array:
<mrow> <mi>L</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> <mo>}</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> <mo>}</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> <mtd> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>H</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>M</mi> </msub> <mo>}</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>{</mo> <mi>f</mi> <msub> <mrow> <mo>(</mo> <mi>v</mi> <mo>)</mo> </mrow> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>&amp;xi;</mi> <mi>L</mi> </msub> <mo>}</mo> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow> 2
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Application publication date: 20171219