CN104463698A - Wind power system reactive compensation device action sequence determining method - Google Patents

Abstract

The invention provides a wind power and hydropower mixed system reactive compensation device action sequence determining method. The method comprises the steps that attribute evaluation indexes of a reactive power compensation device are formulated and obtained, fuzzy processing is conducted on fuzzy indexes, different decision-making objectives are selected, a fuzzy reciprocal matrix is structured, the fuzzy weight of the evaluation indexes is determined, and finally a wind power and hydropower mixed system reactive power compensation device action sequence is obtained through a fuzzy decision-making method. By means of the method, the reasonable expression problem of all indexes in the reactive power compensation device is duly handled, and the sequencing result can more really and more accurately reflect the practical situation. Furthermore, an algorithm is simple and high in operability, the calculation time is short, and powerful support can be provided for subsequent control strategies.

Description

A kind of action sequence determination method for reactive power compensation device of wind power system

Technical field

The present invention relates to a kind of defining method for reactive power compensator action sequence in wind-powered electricity generation, water power commingled system, belong to reactive power compensator control technology field.

Background technology

The access of large-scale wind power system brings immense pressure and new challenge to the scheduling of electrical network and safe and stable operation, and wherein reactive voltage problem is particularly outstanding.Because China's wind-powered electricity generation construction mostly is large-scale development pattern, and concentrate grid-connected together with conventional power generation usage mode, sending outside of a large amount of active power needs certain reactive power support.

China is about many standards of wind-power electricity generation and conventional energy resources electricity generation grid-connecting, as Q/GDW392-2009 " wind energy turbine set access electric power network technique regulation ", GB/T19963-2011 " wind energy turbine set access power system technology regulation " and " generating plant be incorporated into the power networks administrative provisions " etc. all require that electricity generation grid-connecting system can participate in reactive power/voltage control, and possesses the reactive power compensator of certain capacity.

Wind-powered electricity generation, that water power commingled system can send idle equipment is more, there are variable speed constant frequency Wind turbines, Static Var Compensator (Static Var Compensator, SVC), STATCOM (Static Synchronous Compensator, STATCOM), ULTC, fixing can switching capacitance etc.These equipment possess different dynamic response characteristics.The existing control strategy being directed to reactive power compensator is: monomer reactive power compensator receives electric information carry out action according to predetermined control scheme on the spot.Although this control strategy is simple, but when system generation special status, as short trouble, voltage significantly fall, in wind-powered electricity generation, water power commingled system, the unordered adjustment of all kinds of reactive power compensator and action will bring very large hidden danger to system, even causing trouble expanded range, causes genset off-grid accident.The a lot of large-scale wind power unit off-grid accidents occurred for 2011 are exactly largely that the unordered adjustment of reactive power compensator and action cause.Therefore, need to propose the control strategy for the coordinating and unifying of all kinds of reactive power compensator in wind-powered electricity generation, water power commingled system.And this control strategy most important be exactly the action sequence determining reactive power compensator.

Summary of the invention

Technical matters: the invention provides a kind of wind-powered electricity generation, water power commingled system to the unified action sequence determination method for reactive power compensation device of wind power system controlling to provide support of reactive power compensator.

Technical scheme: wind-powered electricity generation of the present invention, water power commingled system reactive power compensator action sequence defining method, comprise the steps:

(1) formulate and obtain the attribute evaluation index of reactive power compensator, this evaluation index comprises: responding system instruction required time T, responsiveness R and operating cost M, and responsiveness and operating cost are fuzzy indicator;

Formulate and obtain the evaluation of running status index of reactive power compensator, this evaluation index comprises: to the voltage power-less sensitivity E of voltage controlled bus, PV bus with regulate nargin Q;

(2) each fuzzy indicator in step (1) is represented by Triangular Fuzzy Number respectively;

(3) judge whether according to wind-powered electricity generation, the different running status of water power commingled system the action sequence needing to determine reactive power compensator, then judge to adopt which kind of decision objective further in this way, otherwise enter step (6), described decision objective comprises: normal decision-making, urgent excision decision-making and urgent Investment decision-making;

(4) according to the relative importance in step (3) determined decision objective between evaluation index, structure fuzzy inter-invertible matrix, and determine evaluation index fuzzy weighted values;

(5) Triangular Fuzzy Number of each fuzzy indicator obtained according to described step (2), and the evaluation index fuzzy weighted values that step (4) obtains, adopt fuzzy Decision Making Method evaluate each reactive power compensator and determine action sequence;

(6) method ends flow process.

In the step (1) of the inventive method, the responding system instruction required time T of reactive power compensator is obtained by the test report of device manufacturer; Responsiveness is the fuzzy indicator obtained by on-the-spot practical operation situation, by difference, to evaluate poor, general, better, well; Operating cost is the fuzzy indicator obtained by on-the-spot practical operation situation, with high, higher, generally, lower, lowly to evaluate; Network topology and running status are calculated by electric system on-line analysis software in real time determines voltage power-less sensitivity; Regulate nargin to deduct the current reactive power that sends by capacity of reactive power compensation device to determine.

In the step (2) of the inventive method, for responsiveness index, poor, poor, general, better, the good Triangular Fuzzy Number evaluated is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0); For operating cost index, high, higher, generally, the Triangular Fuzzy Number of lower, low evaluation is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0).

The idiographic flow of the step (3) of the inventive method is:

31) when reactive power compensator is grid-connected, if reactive power compensator the voltage of site are more than or equal to 0.5 times of normal voltage, then adopt normal decision-making, otherwise adopt and promptly excise decision-making;

32) when reactive power compensator is not grid-connected, if reactive power compensator the voltage of site are 0.95 ~ 1.05 times of normal voltage, then adopt and promptly drop into Sequence Decision, otherwise enter step (6).

In the inventive method, the relative importance in step (4) each decision objective between evaluation index is:

Normal decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: of equal importance, of equal importance and of equal importance; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: of equal importance and of equal importance; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance;

Urgent excision decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and important; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: slightly important and important; Adjustment nargin Q relative to the significance level of operating cost M is: important;

Urgent Investment decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and slightly important; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: slightly important and slightly important; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance.

In the step (4) of the inventive method, the method for structure fuzzy inter-invertible matrix is:

First the relative importance between any two evaluation indexes is determined in the following manner: when the significance level of evaluation index i is equal to or greater than the significance level of evaluation index j, wherein i and j is respectively the sequence number of evaluation index, for representing the Triangular Fuzzy Number of the significance level of evaluation index i relative lndex j, for representing the Triangular Fuzzy Number of the significance level of evaluation index j relative lndex i, when evaluation index i is identical with the significance level of evaluation index j, evaluation index i is slightly more important, important than evaluation index j, obviously important and absolute important time, m _ijequal 1,3,5,7 and 9 respectively, work as m _ijl when ≠ 1 _ij=m _ij-1 and r _ij=m _ij+ 1, work as m _ijl when=1 _ij=1 and r _ij=1;

After obtaining the relative importance between all evaluation indexes, namely obtain fuzzy inter-invertible matrix wherein n is the sum of evaluation index;

Determine that the method for evaluation index fuzzy weighted values is: according to described fuzzy inter-invertible matrix and following formula, obtain:

$l_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{l}_{\mathrm{ij}}\right]}^{\frac{1}{n}},l=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{l}_i;$

$m_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{m}_{\mathrm{ij}}\right]}^{\frac{1}{n}},m=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i;$

$r_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{r}_{\mathrm{ij}}\right]}^{\frac{1}{n}},r=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{r}_i;$

Wherein, l _ij, m _ijand r _ijbe respectively three elements in the Triangular Fuzzy Number of fuzzy inter-invertible matrix, ∏ is quadrature symbol, and ∑ is summation symbol;

The then fuzzy weighted values of i-th evaluation index

Fuzzy Decision Making Method in the inventive method step (5) is the fuzzy compromise method set up for basis of reference with Fuzzy TOPSIS, fuzzy minus ideal result.

Beneficial effect: the present invention compared with prior art, has the following advantages:

The present invention proposes a kind of wind-powered electricity generation, water power commingled system reactive power compensator action sequence defining method, the method is by formulating and obtaining reactive power compensator attribute evaluation index, carry out Fuzzy Processing to index, choose decision objective, construct fuzzy inter-invertible matrix, determine fuzzy weighted values and adopt fuzzy Decision Making Method determination wind-powered electricity generation, water power commingled system reactive power compensator action sequence.This has filled up the blank to the decision problem of reactive power compensator action sequence in existing research.The method has dealt carefully with the present fairly problem of each index in reactive power compensator, makes ranking results can react actual conditions more truely and accurately.And the method is simple and have stronger operability, computing time is short, can provide strong support for follow-up control strategy.The method can be applied in electric power system dispatching layer, and dispatching center can be controlled in order to the reactive power compensator of system, enhances stability of power system and the ability resisting extensive cascading failure.

Accompanying drawing explanation

Fig. 1 is the process flow diagram of wind-powered electricity generation of the present invention, water power commingled system reactive power compensator action sequence defining method;

Fig. 2 is the electric system topological diagram that embodiment contains wind-powered electricity generation, water power.

Embodiment

With reference to the accompanying drawings and the present invention is described in further detail in conjunction with the embodiments.But the invention is not restricted to given embodiment.

Accompanying drawing 2 is embodiment network topology structure.In network, reactive power compensator comprises MCR-SVC, TCR-SVC, fixed condenser, STATCOM.Method comprises the steps:

Wind-powered electricity generation of the present invention, water power commingled system reactive power compensator action sequence defining method, comprise the steps:

(1) formulate and obtain reactive power compensator attribute evaluation index, this evaluation index comprises: responding system instruction required time T, responsiveness R and operating cost M, and responsiveness and operating cost are fuzzy indicator; Formulate and obtain reactive power compensator evaluation of running status index, this evaluation index comprises: to voltage power-less sensitivity E and the adjustment nargin Q of voltage controlled bus, PV bus;

Wherein reactive power compensator responding system instruction required time is obtained by the test report of device manufacturer; Responsiveness is the fuzzy indicator obtained by on-the-spot practical operation situation, by difference, to evaluate poor, general, better, well; Operating cost is the fuzzy indicator obtained by on-the-spot practical operation situation, with high, higher, generally, lower, lowly to evaluate; Network topology and running status are calculated by electric system on-line analysis software in real time determines voltage power-less sensitivity; Regulate nargin to deduct the current reactive power that sends by capacity of reactive power compensation device to determine.

The Criterion Attribute of each reactive power compensator obtained thus is as following table:

(2) each fuzzy indicator in step (1) is represented by Triangular Fuzzy Number respectively.For responsiveness index, poor, poor, general, better, the good Triangular Fuzzy Number evaluated is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0); For operating cost index, high, higher, generally, the Triangular Fuzzy Number of lower, low evaluation is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0).

Therefore represent that the decision matrix of each reactive power compensator after each fuzzy indicator is by Triangular Fuzzy Number:

$\tilde{D}=\left[\begin{array}{ccccc}0.00283& \left(\mathrm{0.4,0.5,0.6}\right)& 44& 0.1& \left(\mathrm{0.4,0.5,0.6}\right)\\ 0.000809& \left(\mathrm{0.2,0.3,0.4}\right)& 88& 0.03& \left(\mathrm{0.2,0.3,0.4}\right)\\ 0.000845& \left(\mathrm{0.0,0.0,0.1}\right)& 11& 0.01& \left(\mathrm{0.1,0.1,0.2}\right)\\ 0.0000728& \left(\mathrm{0.2,0.3,0.4}\right)& 22& 0.03& \left(\mathrm{0.2,0.3,0.4}\right)\\ 0.00282& \left(\mathrm{0.2,0.3,0.4}\right)& 46& 0.03& \left(\mathrm{0.2,0.3,0.4}\right)\\ 0.000806& \left(\mathrm{0.9,1.0,1.0}\right)& 100& 1& \left(\mathrm{0.8,0.9,1.0}\right)\end{array}\right]$

(3) judge whether according to wind-powered electricity generation, the different running status of water power commingled system the action sequence needing to determine reactive power compensator:

When reactive power compensator is not grid-connected, and reactive power compensator the voltage of site is not when being 0.95 ~ 1.05 times of normal voltage, then do not need the action sequence determining reactive power compensator, enter step (6), otherwise by the following method according to wind-powered electricity generation, the different running status of water power commingled system, determine decision objective:

When reactive power compensator is grid-connected, if reactive power compensator the voltage of site are more than or equal to 0.5 times of normal voltage, then adopt normal decision-making, otherwise adopt and promptly excise decision-making;

When reactive power compensator is not grid-connected, and reactive power compensator the voltage of site are 0.95 ~ 1.05 times of normal voltage, then adopt and promptly drop into Sequence Decision.

Thus adopt in the present embodiment and promptly excise decision-making.

(4) according to the relative importance structure fuzzy inter-invertible matrix in step (3) determined decision objective between evaluation index, and evaluation index fuzzy weighted values is determined; Under each decision objective, evaluation index relative importance is:

Normal decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: of equal importance, of equal importance and of equal importance; Responding system instruction required time T-phase for regulating the significance level of nargin Q and operating cost M is: of equal importance and of equal importance; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance;

Urgent excision decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and important; Responding system instruction required time T-phase for regulating the significance level of nargin Q and operating cost M is: slightly important and important; Adjustment nargin Q relative to the significance level of operating cost M is: important;

Urgent Investment decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and slightly important; Responding system instruction required time T-phase for regulating the significance level of nargin Q and operating cost M is: slightly important and slightly important; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance.

The building method of fuzzy inter-invertible matrix is: establish i and j to be respectively the sequence number of evaluation index, when the significance level of index i is equal to or greater than the significance level of index j, ${\tilde{w}}_{\mathrm{ij}}=(l_{\mathrm{ij}},m_{\mathrm{ij}},r_{\mathrm{ij}}),{\tilde{w}}_{\mathrm{ji}}=(\frac{1}{l_{\mathrm{ji}}},\frac{1}{m_{\mathrm{ji}}},\frac{1}{r_{\mathrm{ji}}}),$ Wherein for representing the Triangular Fuzzy Number of the significance level of evaluation index i relative lndex j, for representing the Triangular Fuzzy Number of the significance level of evaluation index j relative lndex i, when evaluation index i and evaluation index j is of equal importance, evaluation index i is slightly more important, important than evaluation index j, obviously important and absolute important time, m _ijequal 1,3,5,7 and 9 respectively, work as m _ijl when ≠ 1 _ij=m _ij-1 and r _ij=m _ij+ 1, work as m _ijl when=1 _ij=1 and r _ij=1.After any two evaluation indexes are compared, obtain fuzzy inter-invertible matrix

The method that obtains of evaluation index fuzzy weighted values is: the fuzzy weighted values being defined as follows to obtain each index to fuzzy inter-invertible matrix:

$l_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{l}_{\mathrm{ij}}\right]}^{\frac{1}{n}},l=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{l}_i;$

$m_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{m}_{\mathrm{ij}}\right]}^{\frac{1}{n}},m=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i;$

$r_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Σ}}}{r}_{\mathrm{ij}}\right]}^{\frac{1}{n}},r=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{r}_i;$

The then fuzzy weighted values of i-th evaluation index

Because the present embodiment adopts and promptly excises decision-making, therefore the fuzzy inter-invertible matrix W of five indexs is:

$W=\left[\begin{array}{ccccc}\left(\mathrm{1,1,1}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{4,5,6}\right)\\ (\frac{1}{2},\frac{1}{3},\frac{1}{4})& \left(\mathrm{1,1,1}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{4,5,6}\right)\\ (\frac{1}{2},\frac{1}{3},\frac{1}{4})& (\frac{1}{2},\frac{1}{3},\frac{1}{4})& \left(\mathrm{1,1,1}\right)& \left(\mathrm{2,3,4}\right)& \left(\mathrm{4,5,6}\right)\\ (\frac{1}{2},\frac{1}{3},\frac{1}{4})& (\frac{1}{2},\frac{1}{3},\frac{1}{4})& (\frac{1}{2},\frac{1}{3},\frac{1}{4})& \left(\mathrm{1,1,1}\right)& \left(\mathrm{4,5,6}\right)\\ (\frac{1}{4},\frac{1}{5},\frac{1}{6})& (\frac{1}{4},\frac{1}{5},\frac{1}{6})& (\frac{1}{4},\frac{1}{5},\frac{1}{6})& (\frac{1}{4},\frac{1}{5},\frac{1}{6})& \left(\mathrm{1,1,1}\right)\end{array}\right]$

The fuzzy weighted values vector of five indexs is:

$\begin{array}{c}{\tilde{w}}_i=[\left(\mathrm{0.28,0.41,0.57}\right),\left(\mathrm{0.21,0.27,0.32}\right),\left(\mathrm{0.16,0.17,0.18}\right),\\ \left(\mathrm{0.10,0.11,0.12}\right),\left(\mathrm{0.03,0.04,0.05}\right)]\end{array}$

(5) according to fuzzy weighted values in step (2) intermediate cam fuzzy number and step (4), fuzzy Decision Making Method is adopted to evaluate each reactive power compensator and action sequence under determining different decision objective; Fuzzy Decision Making Method is the fuzzy compromise method set up for basis of reference with Fuzzy TOPSIS, fuzzy minus ideal result.

Fuzzy compromise method specifically describes as follows:

(51) Fuzzy TOPSIS is determined

${\tilde{M}}^{+}=({\tilde{M}}_1^{+},{\tilde{M}}_2^{+},...,{\tilde{M}}_n^{+})$

In formula be given as

If a () desired value is exact value, then

For income class index: $M_j^{+}=\underset{i}{\max }\left\{x_{\mathrm{ij}}\right\},$

For cost class index: $M_j^{+}=\underset{i}{\min }\left\{x_{\mathrm{ij}}\right\}.$

If b () desired value is fuzzy value, then

For income class index: ${\tilde{M}}_j^{+}=\underset{i}{\max }\left\{{\tilde{x}}_{\mathrm{ij}}\right\}$

There is subordinate function: ${\mathrm{\μ}}_{{\tilde{M}}_j^{+}}\left(x\right)=\underset{(x_1,x_2,...,x_m)\∈R^m}{\underset{x=x_1^x_2^...^x_m}{\sup }}\min \{{\mathrm{\μ}}_{{\tilde{x}}_{1j}}\left(x_1\right),{\mathrm{\μ}}_{{\tilde{x}}_{2j}}\left(x_2\right),...,{\mathrm{\μ}}_{{\tilde{x}}_{\mathrm{mj}}}\left(x_m\right)\},$

For cost class index: ${\tilde{M}}_j^{+}=\underset{i}{\min }\left\{{\tilde{x}}_{\mathrm{ij}}\right\}$

There is subordinate function: ${\mathrm{\μ}}_{{\tilde{M}}_j^{+}}\left(x\right)=\underset{(x_1,x_2,...,x_m)\∈R^m}{\underset{x=x_1^x_2^...^x_m}{\sup }}\min \{{\mathrm{\μ}}_{{\tilde{x}}_{1j}}\left(x_1\right),{\mathrm{\μ}}_{{\tilde{x}}_{2j}}\left(x_2\right),...,{\mathrm{\μ}}_{{\tilde{x}}_{\mathrm{mj}}}\left(x_m\right)\}.$

(52) fuzzy minus ideal result is determined

${\tilde{M}}^{-}=({\tilde{M}}_1^{-},{\tilde{M}}_2^{-},...,{\tilde{M}}_n^{-})$

In formula be given as

If a () desired value is exact value, then

For income class index: $M_j^{-}=\underset{i}{\min }\left\{x_{\mathrm{ij}}\right\},$

For cost class index: $M_j^{-}=\underset{i}{\max }\left\{x_{\mathrm{ij}}\right\}.$

If b () desired value is fuzzy value, then

For income class index: ${\tilde{M}}_j^{-}=\underset{i}{\min }\left\{{\tilde{x}}_{\mathrm{ij}}\right\}$

There is subordinate function: ${\mathrm{\μ}}_{{\tilde{M}}_j^{-}}\left(x\right)=\underset{(x_1,x_2,...,x_m)\∈R^m}{\underset{x=x_1^x_2^...^x_m}{\sup }}\min \{{\mathrm{\μ}}_{{\tilde{x}}_{1j}}\left(x_1\right),{\mathrm{\μ}}_{{\tilde{x}}_{2j}}\left(x_2\right),...,{\mathrm{\μ}}_{{\tilde{x}}_{\mathrm{mj}}}\left(x_m\right)\},$

For cost class index: ${\tilde{M}}_j^{-}=\underset{i}{\max }\left\{{\tilde{x}}_{\mathrm{ij}}\right\}$

There is subordinate function: ${\mathrm{\μ}}_{{\tilde{M}}_j^{-}}\left(x\right)=\underset{(x_1,x_2,...,x_m)\∈R^m}{\underset{x=x_1^x_2^...^x_m}{\sup }}\min \{{\mathrm{\μ}}_{{\tilde{x}}_{1j}}\left(x_1\right),{\mathrm{\μ}}_{{\tilde{x}}_{2j}}\left(x_2\right),...,{\mathrm{\μ}}_{{\tilde{x}}_{\mathrm{mj}}}\left(x_m\right)\}$

(53) definition scheme A _irelative to the satisfaction λ for attribute j _ij:

If a () desired value is exact value, then

${\mathrm{\λ}}_{\mathrm{ij}}=\frac{x_{\mathrm{ij}}-M_j^{-}}{M_j^{+}-M_j^{-}}$

If b () desired value is fuzzy value, then

${\mathrm{\λ}}_{\mathrm{ij}}=\frac{d_L({\tilde{x}}_{\mathrm{ijL}},{\tilde{M}}_{\mathrm{jL}}^{-})+d_R({\tilde{x}}_{\mathrm{ijR}},{\tilde{M}}_{\mathrm{jR}}^{-})}{d_L({\tilde{M}}_{\mathrm{jL}}^{+},{\tilde{M}}_{\mathrm{jL}}^{-})+d_R({\tilde{M}}_{\mathrm{jR}}^{+},{\tilde{M}}_{\mathrm{jR}}^{-})}$

Obtaining satisfaction matrix is thus: λ=[λ _ij].

(54) definition scheme A _ifUZZY WEIGHTED satisfaction for attribute j its FUZZY WEIGHTED satisfaction matrix is:

(55) definition scheme A _itotal FUZZY WEIGHTED satisfaction

${\widetilde{\mathrm{\λ}}}_i^T={\widetilde{\mathrm{\λ}}}_{i1}^w\⊕{\widetilde{\mathrm{\λ}}}_{i2}^w\⊕...\⊕{\widetilde{\mathrm{\λ}}}_{\mathrm{in}}^w$

Symbol in formula represent the generalized addition of fuzzy number, there is subordinate function:

${\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_i^T}\left(x\right)=\underset{(x_1,x_2,...,x_n)\∈R}{\underset{(x_1,x_2,...,x_n)=x_1+x_2+...+x_n}{\sup }}\min \{{\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_{i1}^w}\left(x_1\right),...,{\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_{\mathrm{in}}^w}\left(x_n\right)\}$

(56) define i=1 ..., the Fuzzy maximal sets of m there is subordinate function:

(57) define i=1 ..., the fuzzy minimal set of m there is subordinate function:

${\mathrm{\μ}}_{\tilde{\min }\left({\widetilde{\mathrm{\λ}}}_i^T\right)}\left(x\right)=\underset{(x_1,x_2,...,x_m)\∈R^m}{\underset{x=x_1^x_2^...^x_m}{\sup }}\min \{{\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_1^T}\left(x_1\right),{\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_2^T}\left(x_2\right),...,{\mathrm{\μ}}_{{\widetilde{\mathrm{\λ}}}_m^T}\left(x_m\right)\}.$

(58) define i=1 ..., the relative utility function of m there is degree of membership:

${\mathrm{\μ}}_{f\left({\widetilde{\mathrm{\λ}}}_i^T\right)}\left(r\right)=\frac{d_L[{\widetilde{\mathrm{\λ}}}_{\mathrm{iL}}^T,\tilde{\min }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iL}}^T\right)]+d_R[{\widetilde{\mathrm{\λ}}}_{\mathrm{iR}}^T,\tilde{\min }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iR}}^T\right)]}{d_L[\tilde{\max }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iL}}^T\right),\tilde{\min }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iL}}^T\right)]+d_R[\tilde{\max }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iR}}^T\right),\tilde{\min }\left({\widetilde{\mathrm{\λ}}}_{\mathrm{iR}}^T\right)]}$

(59) will value according to from big to small order arrangement, even if the precedence of reactive power compensator action.

Determine Fuzzy TOPSIS and fuzzy minus ideal result:

${\tilde{M}}^{+}=[0.00283,\left(\mathrm{0.9,1.0,1.0}\right),\mathrm{100,1},\left(\mathrm{0.8,0.9,1.0}\right)]$

${\tilde{M}}^{-}=[0.0000728,\left(\mathrm{0.0,0.0,0.1}\right),\mathrm{11,0.01},\left(\mathrm{0.0,0.1,0.2}\right)]$

Obtaining relative satisfaction matrix is:

$\mathrm{\λ}=\left[{\mathrm{\λ}}_{\mathrm{ij}}\right]=\begin{array}{}\end{array}\left[\begin{array}{ccccc}1& 0.5& 0.371& 0.091& 0.5\\ 0.267& 0.3& 0.865& 0.020& 0.25\\ 0.280& 0& 0& 0& 0\\ 0& 0.3& 0.124& 0.020& 0.25\\ 0.996& 0.3& 0.393& 0.020& 0.25\\ 0.266& 1& 1& 1& 1\end{array}\right]$

Each reactive power compensator relative to the FUZZY WEIGHTED satisfaction matrix of attribute is:

The overall FUZZY WEIGHTED satisfaction of each reactive power compensator for:

${\widetilde{\mathrm{\λ}}}_i^T=\left[\begin{array}{c}\left(\mathrm{0.474,0.643,0.833}\right)\\ \left(\mathrm{0.286,0.349,0.419}\right)\\ \left(\mathrm{0.078,0.115,0.160}\right)\\ \left(\mathrm{0.093,0.114,0.122}\right)\\ \left(\mathrm{0.415,0.568,0.750}\right)\\ \left(\mathrm{0.574,0.699,0.822}\right)\end{array}\right]$

Obtain relative utility function for:

$f\left({\widetilde{\mathrm{\λ}}}_i^T\right)=\left(\begin{array}{c}0.911\\ 0.405\\ 0.016\\ 0.006\\ 0.789\\ 0.998\end{array}\right)$

Can determine that the excision sequence of reactive power compensator is thus: the fixed condenser collecting B230 place, station, the MCR-SVC of wind farm group 1, the TCR-SVC of wind farm group 1, the TCR-SVC of wind farm group 2, the STATCOM of wind farm group 3 and the TCR-SVC of water power group 1.

(6) method ends flow process.

Claims (7)

1. wind-powered electricity generation, a water power commingled system reactive power compensator action sequence defining method, it is characterized in that, the method comprises the steps:

(1) formulate and obtain the attribute evaluation index of reactive power compensator, this evaluation index comprises: responding system instruction required time T, responsiveness R and operating cost M, and responsiveness and operating cost are fuzzy indicator;

Formulate and obtain the evaluation of running status index of reactive power compensator, this evaluation index comprises: to the voltage power-less sensitivity E of voltage controlled bus, PV bus with regulate nargin Q;

(2) each fuzzy indicator in step (1) is represented by Triangular Fuzzy Number respectively;

(3) judge whether according to the different running status of wind power system the action sequence needing to determine reactive power compensator, then judge to adopt which kind of decision objective further in this way, otherwise enter step (6), described decision objective comprises: normal decision-making, urgent excision decision-making and urgent Investment decision-making;

(4) according to the relative importance in step (3) determined decision objective between evaluation index, structure fuzzy inter-invertible matrix, and determine evaluation index fuzzy weighted values;

(5) Triangular Fuzzy Number of each fuzzy indicator obtained according to described step (2), and the evaluation index fuzzy weighted values that step (4) obtains, adopt fuzzy Decision Making Method evaluate each reactive power compensator and determine action sequence;

(6) method ends flow process.

2. wind-powered electricity generation according to claim 1, water power commingled system reactive power compensator action sequence defining method, it is characterized in that, in described step (1), the responding system instruction required time T of reactive power compensator is obtained by the test report of device manufacturer; Responsiveness is the fuzzy indicator obtained by on-the-spot practical operation situation, by difference, to evaluate poor, general, better, well; Operating cost is the fuzzy indicator obtained by on-the-spot practical operation situation, with high, higher, generally, lower, lowly to evaluate; Network topology and running status are calculated by electric system on-line analysis software in real time determines voltage power-less sensitivity; Regulate nargin to deduct the current reactive power that sends by capacity of reactive power compensation device to determine.

3. wind-powered electricity generation according to claim 1, water power commingled system reactive power compensator action sequence defining method, is characterized in that, in described step (2), for responsiveness index, poor, poor, general, better, the good Triangular Fuzzy Number evaluated is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0); For operating cost index, high, higher, generally, the Triangular Fuzzy Number of lower, low evaluation is respectively (0.0,0.1,0.2), (0.2,0.3,0.4), (0.4,0.5,0.6), (0.6,0.7,0.8), (0.8,0.9,1.0).

4. the wind-powered electricity generation according to claim 1,2 or 3, water power commingled system reactive power compensator action sequence defining method, it is characterized in that, the idiographic flow of described step (3) is:

31) when reactive power compensator is grid-connected, if reactive power compensator the voltage of site are more than or equal to 0.5 times of normal voltage, then adopt normal decision-making, otherwise adopt and promptly excise decision-making;

32) when reactive power compensator is not grid-connected, if reactive power compensator the voltage of site are 0.95 ~ 1.05 times of normal voltage, then adopt and promptly drop into Sequence Decision, otherwise enter step (6).

5. the wind-powered electricity generation according to claim 1,2 or 3, water power commingled system reactive power compensator action sequence defining method, it is characterized in that, the relative importance in described step (4) each decision objective between evaluation index is:

Normal decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: of equal importance, of equal importance and of equal importance; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: of equal importance and of equal importance; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance;

Urgent excision decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and important; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: slightly important and important; Adjustment nargin Q relative to the significance level of operating cost M is: important;

Urgent Investment decision-making: voltage power-less sensitivity E is respectively relative to the significance level of responsiveness R, responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important, slightly important and slightly important; Responsiveness R is respectively relative to the significance level of responding system instruction required time T, adjustment nargin Q and operating cost M: slightly important, slightly important and slightly important; Responding system instruction required time T-phase is respectively for regulating the significance level of nargin Q and operating cost M: slightly important and slightly important; Adjustment nargin Q relative to the significance level of operating cost M is: of equal importance.

6. the wind-powered electricity generation according to claim 1,2 or 3, water power are mixed worsens System Reactive Power compensation system action sequence defining method, and it is characterized in that, in described step (4), the method for structure fuzzy inter-invertible matrix is:

First the relative importance between any two evaluation indexes is determined in the following manner: when the significance level of evaluation index i is equal to or greater than the significance level of evaluation index j, wherein i and j is respectively the sequence number of evaluation index, for representing the Triangular Fuzzy Number of the significance level of evaluation index i relative lndex j, for representing the Triangular Fuzzy Number of the significance level of evaluation index j relative lndex i, when evaluation index i is identical with the significance level of evaluation index j, evaluation index i is slightly more important, important than evaluation index j, obviously important and absolute important time, m _ijequal 1,3,5,7 and 9 respectively, work as m _ijl when ≠ 1 _ij=m _ij-1 and r _ij=m _ij+ 1, work as m _ijl when=1 _ij=1 and r _ij=1;

After obtaining the relative importance between all evaluation indexes, namely obtain fuzzy inter-invertible matrix wherein n is the sum of evaluation index;

Determine that the method for evaluation index fuzzy weighted values is: according to described fuzzy inter-invertible matrix and following formula, obtain:

$l_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Π}}}{l}_{\mathrm{ij}}\right]}^{\frac{1}{n}},l=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{l}_i;$

$m_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Π}}}{m}_{\mathrm{ij}}\right]}^{\frac{1}{n}},m=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i;$

$r_i={\left[\underset{j=1}{\overset{n}{\mathrm{\Π}}}{r}_{\mathrm{ij}}\right]}^{\frac{1}{n}},r=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{r}_i;$

Wherein, l _ij, m _ijand r _ijbe respectively three elements in the Triangular Fuzzy Number of fuzzy inter-invertible matrix, П is quadrature symbol, and Σ is summation symbol;

The then fuzzy weighted values of i-th evaluation index

7. the wind-powered electricity generation according to claim 1,2 or 3, water power commingled system reactive power compensator action sequence defining method, it is characterized in that, the fuzzy Decision Making Method in described step (5) is the fuzzy compromise method set up for basis of reference with Fuzzy TOPSIS, fuzzy minus ideal result.