CN104237688A - Power grid fault diagnosing and parsing model with multi-protection configuration considered - Google Patents

Abstract

The invention provides a power grid fault diagnosing and parsing model with multi-protection configuration considered. In the power grid protection rule parsing process, the logic relationship among the power grid element state, the protection action and the breaker tripping is completely retained, and thus the fault-tolerant ability of a fault diagnosing method is helped to be improved. However, it is difficult for a current complete parsing model to conduct modeling in the multi-protection configuration situation. According to the power grid fault diagnosing and parsing model, the model starts from the power grid protection rule parsing, through the analysis of the current power grid protection double-machine configuration situation, and the problem of protection action rule parsing under the complex situation that power grid elements are configured with multiple protections in parallel is researched, and parsing modeling of the power grid fault diagnosis is generalized, so that universality and adaptability of a model parsing method for power grid fault diagnosis are improved, the model is solved through a stochastic optimization algorithm, and the method has great practical significance in the field of power grid fault diagnosis.

Description

Consider the electric network failure diagnosis analytic model under multiple protective configuration

Technical field

The electric network failure diagnosis analytic model that the present invention is a kind of to be considered under multiple protective configuration, belongs to electric network failure diagnosis technical field.

Background technology

Quick and precisely diagnosing accelerating accident treatment process, ensureing that the safe operation of electric system has vital effect of electric network fault.Since last century the eighties, scholars has carried out large quantifier elimination to electric network failure diagnosis problem, the electric network failure diagnosis method proposed mainly contains expert system method, Artificial Neural Network and the method based on analytic model, also has the new method based on various different principle such as Petri network, rough set theory and information theories in addition.Method for diagnosing faults based on expert system is the method studied the earliest and obtains practical application, but the ability in knowledge acquisition of expert system and fault-tolerant ability poor, its practical application effect remains to be further improved; Realize the quick identification of fault element by constructing a pattern classifier based on the method for neural network, principle is simple, diagnosis speed is fast, there is certain learning ability and fault-tolerant ability simultaneously, but when being applied to large-scale electrical power system, have that input space dimension is large, the shot array problem of fault mode, thus the convergence of the network training that affects the nerves and Generalization Ability; Diagnostic method based on Petri network, rough set theory, information theory and other new principles is still in the stage that preliminary theory is explored at present, and the validity of its practical application waits further checking.

Diagnostic method based on analytic model is regular by resolving electric network protection; express with the incidence relation of the form of function to electric network element, protection act and circuit breaker trip; troubleshooting issue is changed into the Zero-one integer programming problem making the minimization of object function; effectively can overcome the difficult problem that the method such as Petri network and Bayes faces when above-mentioned incidence relation is expressed in structuring, there is tighter Fundamentals of Mathematics and good application prospect.Isolating switch and protection information are expressed as logical variable by Dy liacco T E first, realize fault diagnosis by logical operation.The analytic model that Wen Fushuan proposes becomes protection the logical function of its related elements malfunction with the action Expectation-based Representation for Concepts of isolating switch, expect to determine fault element with the difference of actual warning information by this action under evaluation different faults hypothesis.Liu Daobing resolves electric network protection rule completely when considering protection and isolating switch mistake action and rejecting action, thus can complete reservation element fault state, incidence relation between protection act and circuit breaker trip.But the single active and standby protection of element only considered by above-mentioned model when resolving electric network protection rule, electric network protection configuration is relatively simple.But in actual electric network; especially the important electric network element in power transmission network; substantially the two-shipper (microcomputer protecting device) based on different principle, different vendor is taked to configure; same electric network element also shows multiple active and standby protection; element, incidence relation more complicated between protection and isolating switch, adopt above-mentioned model cannot to resolve the electric network protection rule under complicated protection configuration.

Summary of the invention

The invention provides a kind of electric network failure diagnosis analytic model that multiple protective configuration is lower of considering, relate in parsing electric network protection procedure of rule, intactly remain electric network element state, logical relation between protection act and circuit breaker trip; Start with from electric network protection rule parsing; by analyzing current electric grid protection two-shipper configuring condition; protection act rule parsing problem under the complex situations of research electric network element configuration multiple protection arranged side by side; the parsing modeling of electric network failure diagnosis is carried out extensive, thus improves versatility and the adaptability of analytic model method diagnosis electric network fault.And elaborate protection act rule parsing process under complicated protection configuring condition and failure diagnostic process with concrete example, improve the adaptability of the complete analytic model of electric network failure diagnosis in actual electric network application.

The technical scheme that the present invention takes is: consider the electric network failure diagnosis analytic model under multiple protective configuration, comprise following step:

1), according to electric network protection rule, in order to better portray the scene of electric network fault-----element fault situation, the action situation of protection and isolating switch and tripping and maloperation situation, fault mode definition is introduced: (S, R, C, M, D);

Wherein, S={s ₁, s ₂, Ls _i, L, s _n, be suspected fault sets of elements, and s _i=1 and s _i=0 represents element s respectively _ifault and non-faulting;

R={r ₁, r ₂, L, r _i, L, r _zbe the protection set of closing with S-phase, and r _i=1 and r _i=0 represents protection r respectively _iaction and not operating;

C={c ₁, c ₂, L, c _i, L, c _kbe the isolating switch set of closing with S-phase, and c _i=1 and c _i=0 represents isolating switch c respectively _itripping operation and for tripping operation;

M={M _r, M _c, wherein $M_R=\{{m_r}_1,{m_r}_i,L,{m_r}_Z\},M_C=\{{m_c}_1,{m_c}_i,L,{m_c}_K\},$ And represent protection r _imalfunction, represent r _iwithout malfunction; represent isolating switch c _imalfunction, represent isolating switch c _iwithout malfunction;

D={D _r, D _c, wherein $D_R=\{{d_r}_1,{d_r}_i,L,{d_r}_Z\},D_C=\{{d_c}_1,{d_c}_i,L,{d_c}_K\},$ And ${d_r}_i=1$ Represent protection r _itripping, represent r _iwithout tripping; represent isolating switch c respectively _itripping, represent that isolating switch is without tripping, N, Z and K are respectively the element number in S set, R and C;

2), according to protection in electrical network and breaker actuation rule; the action rules of protection selected in fault zone and isolating switch is resolved; it is carry out logical expression to protection act is regular and circuit breaker trip is regular that action rules is resolved; it is the excitation making action response according to the claimed and isolating switch of Principles of Relay Protection; for convenience of statement, logical operation hereafter " with or, non-, of equal value " respectively with symbol ⊕ with represent and when do not cause obscure, usual omission;

Protection act rule parsing:

A), main protection:

If r _ifor electric network element s _nmain protection, if s _nfault (s _n=1), r is protected _ishould action, its action is expected for

${f_r}_i=s_n---\left(2\right)$

China 220kV electric pressure and above electric network element are generally fitted with and overlap protective device more, often overlap the main protection that element all enabled by protective device.If s _nthere is multiple main protection, first the label of these main protections is formed indexed set, be designated as A (s _n), then main protection r _i(i ∈ A (s _n)) action situation is:

1., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) all not operating, then r _ishould action;

2., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) existing protection act, then r _ican be failure to actuate, so the protection r in (2) _iaction is expected be adjusted to

${f_r}_i=s_n(\underset{k\∈A\left(s_n\right),k\≠i}{\mathrm{\Π}}\stackrel{\‾}{r_k}+r_i)---\left(2a\right)$

In formula: ∏ presentation logic connects computing, lower same;

B), the first back-up protection:

If r _jfor element s _nthe first back-up protection, if s _nfault (s _n=1) and its main protection r _inot operating (r _i=0), then r _jshould action, its action is expected can be expressed as

${f_r}_i=s_n\stackrel{\‾}{r_i}---\left(3\right);$

If s _nthere is multiple first back-up protection, wherein any one first back-up protection r _jaction situation be:

1., s _nfault, s _nmain protection r _k(i ∈ A (s _n)) and all except r _jthe first back-up protection all not operating, then r _jshould action;

2., s _nfault, although s _nmain protection r _k(i ∈ A (s _n)) all not operating, but have other the first back-up protection action, then r _jso can motionless r _jaction expect be adjusted to by formula (3)

${f_r}_i=\left(s_n\underset{k\∈A\left(s_n\right)}{\mathrm{\Π}}\stackrel{\‾}{r_k}\right)(\underset{q\∈B\left(s_n\right),q\≠j}{\mathrm{\Π}}\stackrel{\‾}{r_q}+r_j)---\left(3a\right);$

B (s in formula _n) be by s _nthe indexed set that formed of the label of the first back-up protection;

C), the second back-up protection:

If r _lfor element s _nthe second back-up protection, be also s in its protection domain _nnearby device s _xthere is provided back-up protection far away, then r in following 2 kinds of situations _lshould action:

1., equipment s _nfault (s _n=1) and its main protection and the first back-up protection r _jall not operating (r _l=0, r _j=0);

2., equipment s _x∈ z (r _l, s _n) and s _x≠ s _nfault, and r _lto s _kassociated path on all isolating switchs be all in closure state.Wherein, Z (r _l, s _n) be r _lcluster tool in protection domain, p (r _l, s _x) be along supply path from protection r _linstallation place is to equipment place s _xthe set of all isolating switchs, for this reason, the action of the second back-up protection rl is expected can be expressed as

${f_r}_i=s_n\stackrel{\‾}{r_i{r}_j}\⊕\underset{s_x\∈z(r_l,s_n),s_z\≠s_n}{\mathrm{\Σ}}\left(s_x\underset{c_t\∈p(r_l,s_k)}{\mathrm{\Π}}\stackrel{\‾}{c_t}\right)---\left(4\right);$

In formula: ∑ presentation logic connects ⊕ computing, lower same;

If s _nthe second back-up protection have multiple, with multiple main protection and first back-up protection analysis classes seemingly, its arbitrary second back-up protection r _laction expect be adjusted to by formula (4):

${f_r}_i\left(s_n\underset{k\∈A\left(s_n\right)}{\mathrm{\Π}}\stackrel{\‾}{r_k}\underset{q\∈B\left(s_n\right)}{\mathrm{\Π}}\stackrel{\‾}{r_q}\right)(\underset{t\∈D\left(s_n\right)}{\mathrm{\Π}}\stackrel{\‾}{r_t}+r_j)\⊕\underset{s_x\∈z(r_l,s_n),s_x\∉s_n}{\mathrm{\Σ}}{s}_x\underset{c_t\∈p(r_l,s_x)}{\mathrm{\Π}}\stackrel{\‾}{c_t}---\left(4a\right)$

D (s in formula _n) be by s _nthe indexed set that formed of the label of the second back-up protection;

D), breaker fail protection:

Breaker fail protection does not generally adopt separately multiple relaying configuration form arranged side by side, therefore to the following expression-form of the parsing of breaker fail protection, that is: when there being protection r _xaction drives isolating switch c _kduring tripping operation, as c _ktripping (c _k=0), now, breaker fail protection r _kshould action, its action is expected can be expressed as

${f_r}_k=\stackrel{\‾}{c_k}\underset{r_x\∈R\left(c_k\right)}{\mathrm{\Σ}}{r}_x---\left(5\right);$

2), breaker actuation rule parsing:

The analytical form of breaker actuation rule is anyly can drive isolating switch c _kthe protection r of tripping operation _xaction, isolating switch c _kshould trip, its action is expected to be expressed as

${f_c}_k=\underset{r_x\∈R\left(c_k\right)}{\mathrm{\Σ}}{r}_x---\left(6\right);$

Can find out from above-mentioned electric network protection rule parsing formula (2)-(6), f is expected in the action of protection _rf is expected in the action of (r ∈ R) and isolating switch _c(c ∈ C) is all the explicit function of variable S, R, C, i.e. f _r, f _c∈ J, J={f|f:(S, R, C) → { 0,1}};

3), the operating state of protection and isolating switch resolves the parsing of above-mentioned action rules is expect to express to the action of protection and isolating switch; but the operating state of its reality not equivalent is expected in this action; therefore; the parsing of electric network protection rule, except the action rules of protection and isolating switch is resolved, also comprises the operating state parsing of corresponding protection and isolating switch.

Consider tripping and the maloperation situation of protection, cause the situation of protection act to have two kinds to arbitrary protection r ∈ R:

A) excitation (f of protection act, is had _r, and the non-tripping (d of this protection=1) _r=0);

B), protection there occurs malfunction (m _r=1);

So the operating state of protection r ∈ R resolves to

$\left\{\begin{array}{c}r=f_r\stackrel{\‾}{d_r}\⊕m_r\\ d_r{m}_r\⊕{\mathrm{rd}}_r\⊕\stackrel{\‾}{r}{m}_r\⊕f_r{m}_r\⊕\stackrel{\‾}{f_r}{d}_r=0\end{array}\right.---\left(7\right);$

Similarly, the tripped condition of arbitrary isolating switch c ∈ C resolves to:

$\left\{\begin{array}{c}c=f_c\stackrel{\‾}{d_c}\⊕m_c\\ d_c{m}_c\⊕{\mathrm{rd}}_c\⊕\stackrel{\‾}{r}{m}_c\⊕f_c{m}_c\⊕\stackrel{\‾}{f_c}{d}_c=0\end{array}\right.---\left(8\right);$

4), fault diagnosis analytic model:

The complete analytic model of fault diagnosis is obtained by the operating state analytic expression protected with isolating switch; therefore; the tripped condition analytic expression (8) of relevant protection act state analytic expression (7) and isolating switch is carried out simultaneous, and the complete analytic model of electric network failure diagnosis can be expressed as:

$\left\{\begin{array}{c}r=f_r\stackrel{\‾}{d_r}\⊕m_r\\ d_r{m}_r\⊕{\mathrm{rd}}_r\⊕\stackrel{\‾}{r}{m}_r\⊕f_r{m}_r\⊕\stackrel{\‾}{f_r}{d}_r=0\\ c=f_c\stackrel{\‾}{d_c}\⊕m_c\\ d_c{m}_c\⊕{\mathrm{cd}}_c\⊕\stackrel{\‾}{c}{m}_c\⊕f_c{m}_c\⊕\stackrel{\‾}{f_c}{d}_c=0\end{array}\right.---\left(9\right)$

In formula: r ∈ R; C ∈ C; f _r, f _c∈ J..

Consider a diagnostic method for the electric network failure diagnosis analytic model under multiple protective configuration, this diagnostic method step is:

1) objective function based on the lower electric network failure diagnosis model of multiple protective configuration, is set up:

Adopt the method for random optimization to solve above-mentioned analytic model, first write the equation in model as Unified Form: F (S, R, C, M, D)=0 then with G=(S, R, C, M, D) for parameter, build objective function:

$\begin{array}{c}E\left(G\right)=\underset{i=1}{\overset{Z}{\mathrm{\Σ}}}\left|\right|r=r_i^{\′}\left|\right|+\underset{i=1}{\overset{K}{\mathrm{\Σ}}}\left|\right|c_i=c_i^{\′}\left|\right|+\underset{i=1}{\overset{Z}{\mathrm{\Σ}}}\left(\right|\left|{d_r}_i\right||+|\left|{M_r}_i\right|\left|\right)+\underset{i=1}{\overset{K}{\mathrm{\Σ}}}\left(\right|\left|{d_c}_i\right||+|\left|{M_c}_i\right|\left|\right)\\ +\underset{i=1}{\overset{2Z+2K}{\mathrm{\Σ}}}\left|\right|f_i(S,R,C,M,D)\left|\right|\end{array}---\left(10\right)$

2), objective function is asked for optimized algorithm:

Based on Modified particle swarm optimization Algorithm for Solving objective function, at former discrete particle cluster algorithm inwardly, the mutation operation in introducing genetic algorithm, to strengthen local search ability, is amended as follows:

v _i,d(T+1)＝a ₁h _1,d(t)[p _i,d(t)-x _i,d(t)+a ₂h _2,d(t)[p _g,d(t)-x _i,d(t)]

If 1. S [h _i,d(t) <v _i,d(t+1)], so x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

If 2. h' _i,d(t) <R [x _i' (t+1), so, x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

In above-mentioned algorithm: a ₁, a ₂accelerator coefficient, usual 0≤a ₁, a ₂≤ 2; h _{1, d}(t), h _{2, d}(t), h _i,d(t), h' _i,dt () is the pseudo random number between (0,1), be used for regulating the stochastic process of algorithm; S (v)=1-1/e ^{| v|}, in order to the evolution algorithmic probability of particle; T (x)=1-1/{1+ln [1+f (x)] } be mutation probability, f (x) is the fitness function of particle, and fitness function modus ponens (10), particle x gets (S, R, C, M, D).

The electric network failure diagnosis analytic model that the present invention is a kind of to be considered under multiple protective configuration, when namely considering and show multiple main protection and back-up protection, build the analytic model after electric network fault, the safeguard rule of electrical network after fault is expressed fully, set up simultaneously one about after electric network fault in selected fault zone the objective function of each element state, with consider multiple protective configuration under electric network failure diagnosis analytic model for constraint condition, objective function is solved by choosing particle swarm optimization algorithm, find under multiple protective configuration, after electric network fault in fault zone the state of each element.The method will, by considering the configuration of electrical network multiple protective, be carried out extensive to the parsing modeling of electric network failure diagnosis, thus improve versatility and the adaptability of analytic model method diagnosis electric network fault.

Accompanying drawing explanation

Fig. 1 is that fault diagnosis model of the present invention is set up and solves process flow diagram.

Fig. 2 is embodiment of the present invention system architecture schematic diagram.

Embodiment

Consider the electric network failure diagnosis analytic model under multiple protective configuration, comprise following step:

1), according to electric network protection rule, in order to better portray the scene of electric network fault-----element fault situation, the action situation of protection and isolating switch and tripping and maloperation situation, fault mode definition is introduced: (S, R, C, M, D);

Wherein, S={s ₁, s ₂, Ls _i, L, s _n, be suspected fault sets of elements, and s _i=1 and s _i=0 represents element s respectively _ifault and non-faulting;

R={r ₁, r ₂, L, r _i, L, r _zbe the protection set of closing with S-phase, and r _i=1 and r _i=0 represents protection r respectively _iaction and not operating;

C={c ₁, c ₂, L, c _i, L, c _kbe the isolating switch set of closing with S-phase, and c _i=1 and c _i=0 represents isolating switch c respectively _itripping operation and for tripping operation;

M={M _r, M _c, wherein $M_R=\{{m_r}_1,{m_r}_i,L,{m_r}_Z\},M_C=\{{m_c}_1,{m_c}_i,L,{m_c}_K\},$ And represent protection r _imalfunction, represent r _iwithout malfunction; represent isolating switch c _imalfunction, represent isolating switch c _iwithout malfunction;

D={D _r, D _c, wherein $D_R=\{{d_r}_1,{d_r}_i,L,{d_r}_Z\},D_C=\{{d_c}_1,{d_c}_i,L,{d_c}_K\},$ And ${d_r}_i=1$ Represent protection r _itripping, represent r _iwithout tripping; represent isolating switch c respectively _itripping, represent that isolating switch is without tripping, N, Z and K are respectively the element number in S set, R and C;

2), according to protection in electrical network and breaker actuation rule; the action rules of protection selected in fault zone and isolating switch is resolved; it is carry out logical expression to protection act is regular and circuit breaker trip is regular that action rules is resolved; it is the excitation making action response according to the claimed and isolating switch of Principles of Relay Protection; for convenience of statement, logical operation hereafter " with or, non-, of equal value " respectively with symbol ⊕ with represent and when do not cause obscure, usual omission;

Protection act rule parsing:

A), main protection:

If r _ifor electric network element s _nmain protection, if s _nfault (s _n=1), r is protected _ishould action, its action is expected for

${f_r}_i=s_n---\left(2\right)$

China 220kV electric pressure and above electric network element are generally fitted with and overlap protective device more, often overlap the main protection that element all enabled by protective device.If s _nthere is multiple main protection, first the label of these main protections is formed indexed set, be designated as A (s _n), then main protection r _i(i ∈ A (s _n)) action situation is:

1., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) all not operating, then r _ishould action;

2., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) existing protection act, then r _ican be failure to actuate, so the protection r in (2) _iaction is expected be adjusted to

${f_r}_i=s_n(\underset{k\&Element;A\left(s_n\right),k\&NotEqual;i}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}+r_i)---\left(2a\right)$

In formula: ∏ presentation logic connects computing, lower same;

B), the first back-up protection:

If r _jfor element s _nthe first back-up protection, if s _nfault (s _n=1) and its main protection r _inot operating (r _i=0), then r _jshould action, its action is expected can be expressed as

${f_r}_i=s_n\stackrel{\&OverBar;}{r_i}---\left(3\right);$

If s _nthere is multiple first back-up protection, wherein any one first back-up protection r _jaction situation be:

1., s _nfault, s _nmain protection r _k(i ∈ A (s _n)) and all except r _jthe first back-up protection all not operating, then r _jshould action;

2., s _nfault, although s _nmain protection r _k(i ∈ A (s _n)) all not operating, but have other the first back-up protection action, then r _jso can motionless r _jaction expect be adjusted to by formula (3)

${f_r}_i=\left(s_n\underset{k\&Element;A\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}\right)(\underset{q\&Element;B\left(s_n\right),q\&NotEqual;j}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_q}+r_j)---\left(3a\right);$

B (s in formula _n) be by s _nthe indexed set that formed of the label of the first back-up protection;

C), the second back-up protection:

If r _lfor element s _nthe second back-up protection, be also s in its protection domain _nnearby device s _xthere is provided back-up protection far away, then r in following 2 kinds of situations _lshould action:

1., equipment s _nfault (s _n=1) and its main protection and the first back-up protection r _jall not operating (r _l=0, r _j=0);

2., equipment s _x∈ z (r _l, s _n) and s _x≠ s _nfault, and r _lto s _kassociated path on all isolating switchs be all in closure state.Wherein, Z (r _l, s _n) be r _lcluster tool in protection domain, p (r _l, s _x) be along supply path from protection r _linstallation place is to equipment place s _xthe set of all isolating switchs, for this reason, the action of the second back-up protection rl is expected can be expressed as

${f_r}_i=s_n\stackrel{\&OverBar;}{r_i{r}_j}\&CirclePlus;\underset{s_x\&Element;z(r_l,s_n),s_z\&NotEqual;s_n}{\mathrm{\&Sigma;}}\left(s_x\underset{c_t\&Element;p(r_l,s_k)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{c_t}\right)---\left(4\right);$

In formula: ∑ presentation logic connects ⊕ computing, lower same;

If s _nthe second back-up protection have multiple, with multiple main protection and first back-up protection analysis classes seemingly, its arbitrary second back-up protection r _laction expect be adjusted to by formula (4):

${f_r}_i\left(s_n\underset{k\&Element;A\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}\underset{q\&Element;B\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_q}\right)(\underset{t\&Element;D\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_t}+r_j)\&CirclePlus;\underset{s_x\&Element;z(r_l,s_n),s_x\&NotElement;s_n}{\mathrm{\&Sigma;}}{s}_x\underset{c_t\&Element;p(r_l,s_x)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{c_t}---\left(4a\right)$

D (s in formula _n) be by s _nthe indexed set that formed of the label of the second back-up protection;

D), breaker fail protection:

Breaker fail protection does not generally adopt separately multiple relaying configuration form arranged side by side, therefore to the following expression-form of the parsing of breaker fail protection, that is: when there being protection r _xaction drives isolating switch c _kduring tripping operation, as c _ktripping (c _k=0), now, breaker fail protection r _kshould action, its action is expected can be expressed as

${f_r}_k=\stackrel{\&OverBar;}{c_k}\underset{r_x\&Element;R\left(c_k\right)}{\mathrm{\&Sigma;}}{r}_x---\left(5\right);$

2), breaker actuation rule parsing:

The analytical form of breaker actuation rule is anyly can drive isolating switch c _kthe protection r of tripping operation _xaction, isolating switch c _kshould trip, its action is expected to be expressed as

${f_c}_k=\underset{r_x\&Element;R\left(c_k\right)}{\mathrm{\&Sigma;}}{r}_x---\left(6\right);$

Can find out from above-mentioned electric network protection rule parsing formula (2)-(6), f is expected in the action of protection _rf is expected in the action of (r ∈ R) and isolating switch _c(c ∈ C) is all the explicit function of variable S, R, C, i.e. f _r, f _c∈ J, J={f|f:(S, R, C) → { 0,1}};

3), the operating state of protection and isolating switch resolves the parsing of above-mentioned action rules is expect to express to the action of protection and isolating switch; but the operating state of its reality not equivalent is expected in this action; therefore; the parsing of electric network protection rule, except the action rules of protection and isolating switch is resolved, also comprises the operating state parsing of corresponding protection and isolating switch.

Consider tripping and the maloperation situation of protection, cause the situation of protection act to have two kinds to arbitrary protection r ∈ R:

A) excitation (f of protection act, is had _r, and the non-tripping (d of this protection=1) _r=0);

B), protection there occurs malfunction (m _r=1);

So the operating state of protection r ∈ R resolves to

$\left\{\begin{array}{c}r=f_r\stackrel{\&OverBar;}{d_r}\&CirclePlus;m_r\\ d_r{m}_r\&CirclePlus;{\mathrm{rd}}_r\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_r\&CirclePlus;f_r{m}_r\&CirclePlus;\stackrel{\&OverBar;}{f_r}{d}_r=0\end{array}\right.---\left(7\right);$

Similarly, the tripped condition of arbitrary isolating switch c ∈ C resolves to:

$\left\{\begin{array}{c}c=f_c\stackrel{\&OverBar;}{d_c}\&CirclePlus;m_c\\ d_c{m}_c\&CirclePlus;{\mathrm{rd}}_c\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_c\&CirclePlus;f_c{m}_c\&CirclePlus;\stackrel{\&OverBar;}{f_c}{d}_c=0\end{array}\right.---\left(8\right);$

4), fault diagnosis analytic model:

The complete analytic model of fault diagnosis is obtained by the operating state analytic expression protected with isolating switch; therefore; the tripped condition analytic expression (8) of relevant protection act state analytic expression (7) and isolating switch is carried out simultaneous, and the complete analytic model of electric network failure diagnosis can be expressed as:

$\left\{\begin{array}{c}r=f_r\stackrel{\&OverBar;}{d_r}\&CirclePlus;m_r\\ d_r{m}_r\&CirclePlus;{\mathrm{rd}}_r\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_r\&CirclePlus;f_r{m}_r\&CirclePlus;\stackrel{\&OverBar;}{f_r}{d}_r=0\\ c=f_c\stackrel{\&OverBar;}{d_c}\&CirclePlus;m_c\\ d_c{m}_c\&CirclePlus;{\mathrm{cd}}_c\&CirclePlus;\stackrel{\&OverBar;}{c}{m}_c\&CirclePlus;f_c{m}_c\&CirclePlus;\stackrel{\&OverBar;}{f_c}{d}_c=0\end{array}\right.---\left(9\right)$

In formula: r ∈ R; C ∈ C; f _r, f _c∈ J..

Consider a diagnostic method for the electric network failure diagnosis analytic model under multiple protective configuration, this diagnostic method step is:

1) objective function based on the lower electric network failure diagnosis model of multiple protective configuration, is set up:

Adopt the method for random optimization to solve above-mentioned analytic model, first write the equation in model as Unified Form: F (S, R, C, M, D)=0 then with G=(S, R, C, M, D) for parameter, build objective function:

$\begin{array}{c}E\left(G\right)=\underset{i=1}{\overset{Z}{\mathrm{\&Sigma;}}}\left|\right|r=r_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{K}{\mathrm{\&Sigma;}}}\left|\right|c_i=c_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{Z}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_r}_i\right||+|\left|{M_r}_i\right|\left|\right)+\underset{i=1}{\overset{K}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_c}_i\right||+|\left|{M_c}_i\right|\left|\right)\\ +\underset{i=1}{\overset{2Z+2K}{\mathrm{\&Sigma;}}}\left|\right|f_i(S,R,C,M,D)\left|\right|\end{array}---\left(10\right)$

2), objective function is asked for optimized algorithm:

Based on Modified particle swarm optimization Algorithm for Solving objective function, at former discrete particle cluster algorithm inwardly, the mutation operation in introducing genetic algorithm, to strengthen local search ability, is amended as follows:

v _i,d(T+1)＝a ₁h _1,d(t)[p _i,d(t)-x _i,d(t)+a ₂h _2,d(t)[p _g,d(t)-x _i,d(t)]

If 1. S [h _i,d(t) <v _i,d(t+1)], so x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

If 2. h' _i,d(t) <R [x _i' (t+1), so, x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

In above-mentioned algorithm: a ₁, a ₂accelerator coefficient, usual 0≤a ₁, a ₂≤ 2; h _{1, d}(t), h _{2, d}(t), h _i,d(t), h' _i,dt () is the pseudo random number between (0,1), be used for regulating the stochastic process of algorithm; S (v)=1-1/e ^{| v|}, in order to the evolution algorithmic probability of particle; T (x)=1-1/{1+ln [1+f (x)] } be mutation probability, f (x) is the fitness function of particle, and fitness function modus ponens (10), particle x gets (S, R, C, M, D).

From the power supply interrupted district after fault select can fault element collection S and band resolve isolating switch set C, then according to S, C determine be with resolve protection set R; Analytical Expression is carried out to the multiple protective action rules of R, C, builds the analytic model of formula (9); The objective function of through type (10), and adopt Modified particle swarm optimization algorithm to ask for objective function to reach optimum solution.

Embodiment:

The invention provides a kind of consider multiple protective configuration under electric network failure diagnosis analytic model, Fig. 2 is embodiment system architecture schematic diagram.Wherein, A, B represent bus, T indication transformer, and L represents circuit; S, R represent the first and end of circuit (from top to bottom respectively; from left to right define circuit first and end), m represents main protection, and p represents the first back-up protection; s represents the second back-up protection; a, b represent that the two-shipper based on different protection philosophy configures, and f represents breaker fail protection.Based on there being 28 elements in test macro shown in Fig. 2: A1-A4, T1-T8, B1-B8, L1-L8; 40 isolating switch: QF1-QF40; 208 protections, wherein, 72 main protection A1ma-A4ma, T1ma-T8ma, B1ma-B8ma, L1Sma-L8Sma, L1Rma-L8Rma, A1mb-A4mb, T1mb-T8mb, B1mb-B8mb, L1Smb-L8Smb, L1Rmb-L8Rmb; 96 back-up protections: T1pa-T8pa, L1Spa-L8Spa, L1Ra-L8Ra, L1Ssa-L8Ssa, L1Rsa-L8Rsa, T1pb-T8pb, L1Spb-L8Spb, L1Rpb-L8Rpb, L1Ssb-L8Ssb, L1Rsb-L8Rsb; 40 breaker fail protection: QF1f-QF40f

1, fault mode and warning message analysis:

Transformer T3, bus B2 break down simultaneously, and the course of action of protection and isolating switch is as follows: transformer main protection T3ma, T3mb action, tripping QF16, QF14 tripping, its failure protection QF14f action, tripping QF12, QF13, QF19; Bus B2 main protection B2ma action, jumps QF4, QF6, QF8, QF10, route protection L3Ra malfunction, and QF27 trips.Receive the warning information of T3ma, T3mb, T3pa, L3Rsa, QF14f, QF4, QF6, QF8, QF10, QF12, QF16, QF19, QF27 action.

Fig. 2 embodiment system architecture schematic diagram.Determine that the relevant device in analytic model is determined as follows:

(1), suspected fault element set: have 5 element-B2, B4, T3, L2, L3 in power supply interrupted district, all as suspected fault element, so S={s ₁, s ₂, L, s ₅}

(2), relative breaker set: relate to altogether 10 isolating switch-QF4, QF6, QF8, QF10, QF12, QF13, QF14, QF16,

QF19, QF27, so C={c ₁, c ₂, L, c ₁₀}

(3), relevant proterctive equipment: have protection 40-T3ma, T3pa, T3sa, B4ma, B2ma, L2Sma, L2Rma, L2Spa, L2Rpa, L2Ssa, L2Rsa, L3Sma, L3Rma, L3Spa, L3Rpa, L3Ssa, L3Rsa, T3mb, T3pb, T3sb, B4mb, B2mb, L2Smb, L2Rmb, L2Spb, L2Rpb, L2Ssb, L2Rsb, L3Smb, L3Rmb, L3Spb, L3Rpb, L3Ssb, L3Rsb, QF4f, QF8f, QF10f, QF12f, QF14f, QF19f, so R={r ₁, r ₂, L, r ₄₀}

2, electric network protection rule parsing and parsing model construction:

Protection due to electric network element have employed two-shipper configuration, thus select formula (2a) ~ (4a), (5) and (6) resolve protecting action rules of r ∈ R and isolating switch c ∈ C.Consider that length limits, only list the action rules analytic expression of the active and standby protection of transformer T3 here, the protection act rule parsing of other element roughly the same.Transformer T3 protects 6 protections of two-shipper configuration, i.e. T3ma, T3mb, T3pa, T3sa, T3pb, T3sb, its protection act rule parsing is respectively

${f_r}_1=s_3(\stackrel{\&OverBar;}{r_{18}}+r_1)$

${f_r}_{18}=s_3(\stackrel{\&OverBar;}{r_1}+r_{18})$

${f_r}_2=s_3\stackrel{\&OverBar;}{r_1{r}_{18}}(\stackrel{\&OverBar;}{r_{19}}+r_2)$

${f_r}_{19}=s_3\stackrel{\&OverBar;}{r_1{r}_2}(\stackrel{\&OverBar;}{r_2}+r_{19})$

${f_r}_3=s_3\stackrel{\&OverBar;}{r_1{r}_{18}}\stackrel{\&OverBar;}{r_2}\stackrel{\&OverBar;}{r_{19}}(\stackrel{\&OverBar;}{r_{20}}+r_3)\&CirclePlus;s_2\stackrel{\&OverBar;}{c_7}\&CirclePlus;s_4\stackrel{\&OverBar;}{c_5}$

${f_r}_{20}=s_2\stackrel{\&OverBar;}{r_1{r}_{18}}\stackrel{\&OverBar;}{r_2}\stackrel{\&OverBar;}{r_{19}}(\stackrel{\&OverBar;}{r_3}+r_{20})\&CirclePlus;s_2\stackrel{\&OverBar;}{c_7}\&CirclePlus;s_4\stackrel{\&OverBar;}{c_5}$

After completing protection and breaker actuation rule parsing, and then the operating state of protection and isolating switch is resolved, and builds fault diagnosis analytic model:

$\left\{\begin{array}{c}{r}_i={f_r}_i\stackrel{\&OverBar;}{{d_r}_i}\&CirclePlus;{m_r}_i\\ {d_r}_i{m_r}_i\&CirclePlus;r_i{d_r}_i\&CirclePlus;\stackrel{\&OverBar;}{r_i}{m_r}_i\&CirclePlus;{f_r}_i{m_r}_i\&CirclePlus;\stackrel{\&OverBar;}{{f_r}_i}{d_r}_i=0\\ c_i={f_c}_j\stackrel{\&OverBar;}{{d_c}_j}\&CirclePlus;{m_c}_j\\ {d_c}_j{m_c}_j\&CirclePlus;c_j{d_c}_j\&CirclePlus;\stackrel{\&OverBar;}{c_j}{m_c}_j\&CirclePlus;{f_c}_j{m_c}_j\&CirclePlus;\stackrel{\&OverBar;}{{f_c}_j}{d_c}_j=0\end{array}\right.$

Wherein: i=1,2, L, 40; J=1,2, L, 10.

3, model solution and fault diagnosis:

Adopt the method improving population random optimization to solve above-mentioned analytic model, first write the equation in model as Unified Form:

F (S, R, C, M, D)=0 then with G=(S, R, C, M, D) for parameter, build objective function:

$\left\{\begin{array}{c}E\left(G\right)=\underset{i=1}{\overset{40}{\mathrm{\&Sigma;}}}\left|\right|r=r_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{10}{\mathrm{\&Sigma;}}}\left|\right|c_i=c_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{40}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_r}_i\right||+|\left|{M_r}_i\right|\left|\right)+\underset{i=1}{\overset{10}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_c}_i\right||+|\left|{M_c}_i\right|\left|\right)\\ +\underset{i=1}{\overset{80+20}{\mathrm{\&Sigma;}}}\left|\right|f_i(S,R,C,M,D)\left|\right|\end{array}\right.$

R in formula ₁', r ₂', L, r ' ₄₀, c ₁', c ₂', L, c ' ₁₀alarm signal its value corresponding for R, C is respectively:

[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,]

[1,1,1,1,1,1,0,1,1,1]

Adopt above-mentioned improvement Discrete Particle Swarm Optimization Algorithm to solve by Optimization Method, random initializtion 40 particles, iterations is 1000.Through test of many times, each test findings all can convergence before iteration 200 times, the minimum value E (G)=4.25 of objective function, and optimal particle is G, wherein:

S＝{1,0,1,0,0}

R＝{1,0,0,0,1,0,0，0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0，0，0,0，0，0,0，0,0,0,0}

C＝{1，1,1,0,1,1,0,1,1,1}

M＝{0,0,0,0,0,0,0，0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0，0，0,0，0，0,0，0,0,0,0,0,0,0,0,0,0,0,0,0，0}

D＝{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0，0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

This particle implication is as follows:

1) transformer T3, bus B2 break down simultaneously;

2) the 2nd back-up protection action of transformer main protection T3m, breaker fail protection QF14f protection, circuit L3;

3) circuit breaker Q F4, QF6, QF8, QF12, QF13, QF16, QF19, QF27 tripping operation;

4) breaker fail protection QF10f tripping, circuit breaker Q F10, QF14 tripping.

Through contrasting with actual conditions, this diagnostic result is entirely true.

As can be seen from the diagnostic result of embodiment; the electric network fault considered after multiple protective configuration can well be diagnosed by model of the present invention and method; improve the generalization of the complete analytic model of electric network failure diagnosis; strengthen versatility and the adaptive faculty of electric network failure diagnosis analytic model; also contribute to well being applied to dispatching terminal; to schedule workers provide operation and decision-making assist, the present invention has positive important meaning in electric network failure diagnosis field.

Claims (5)

1. consider the electric network failure diagnosis analytic model under multiple protective configuration, it is characterized in that comprising following step:

1), according to electric network protection rule, in order to better portray the scene of electric network fault-----element fault situation, the action situation of protection and isolating switch and tripping and maloperation situation, fault mode definition is introduced: (S, R, C, M, D);

Wherein, S={s ₁, s ₂, Ls _i, L, s _n, be suspected fault sets of elements, and s _i=1 and s _i=0 represents element s respectively _ifault and non-faulting;

R={r ₁, r ₂, L, r _i, L, r _zbe the protection set of closing with S-phase, and r _i=1 and r _i=0 represents protection r respectively _iaction and not operating;

C={c ₁, c ₂, L, c _i, L, c _kbe the isolating switch set of closing with S-phase, and c _i=1 and c _i=0 represents isolating switch c respectively _itripping operation and for tripping operation;

M={M _r, M _c, wherein $M_R=\{{m_r}_1,{m_r}_i,L,{m_r}_Z\},M_C=\{{m_c}_1,{m_c}_i,L,{m_c}_K\},$ And represent protection r _imalfunction, represent r _iwithout malfunction; represent isolating switch c _imalfunction, represent isolating switch c _iwithout malfunction;

D={D _r, D _c, wherein $D_R=\{{d_r}_1,{d_r}_i,L,{d_r}_Z\},D_C=\{{d_c}_1,{d_c}_i,L,{d_c}_K\},$ And ${d_r}_i=1$ Represent protection r _itripping, represent r _iwithout tripping; represent isolating switch c respectively _itripping, represent that isolating switch is without tripping, N, Z and K are respectively the element number in S set, R and C;

2), according to protection in electrical network and breaker actuation rule; the action rules of protection selected in fault zone and isolating switch is resolved; it is carry out logical expression to protection act is regular and circuit breaker trip is regular that action rules is resolved; it is the excitation making action response according to the claimed and isolating switch of Principles of Relay Protection; for convenience of statement, logical operation hereafter " with or, non-, of equal value " respectively with symbol ⊕ with represent and when do not cause obscure, usual omission.

2. consider the electric network failure diagnosis analytic model under multiple protective configuration according to claim 1, it is characterized in that, comprise protection act rule parsing:

A), main protection:

If r _ifor electric network element s _nmain protection, if s _nfault (s _n=1), r is protected _ishould action, its action is expected for

${f_r}_i=s_n---\left(2\right)$

China 220kV electric pressure and above electric network element are generally fitted with and overlap protective device more, often overlap the main protection that element all enabled by protective device, if s _nthere is multiple main protection, first the label of these main protections is formed indexed set, be designated as A (s _n), then main protection r _i(i ∈ A (s _n)) action situation is:

1., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) all not operating, then r _ishould action;

2., s _nfault, if s _nmain protection r _k(i ∈ A (s _n), k ≠ i) existing protection act, then r _ican be failure to actuate, so the protection r in (2) _iaction is expected be adjusted to

${f_r}_i=s_n(\underset{k\&Element;A\left(s_n\right),k\&NotEqual;i}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}+r_i)---\left(2a\right)$

In formula: ∏ presentation logic connects computing, lower same;

B), the first back-up protection:

If r _jfor element s _nthe first back-up protection, if s _nfault (s _n=1) and its main protection r _inot operating (r _i=0), then r _jshould action, its action is expected can be expressed as

${f_r}_i=s_n\stackrel{\&OverBar;}{r_i}---\left(3\right);$

If s _nthere is multiple first back-up protection, wherein any one first back-up protection r _jaction situation be:

1., s _nfault, s _nmain protection r _k(i ∈ A (s _n)) and all except r _jthe first back-up protection all not operating, then r _jshould action;

2., s _nfault, although s _nmain protection r _k(i ∈ A (s _n)) all not operating, but have other the first back-up protection action, then r _jso can motionless r _jaction expect be adjusted to by formula (3):

${f_r}_i=\left(s_n\underset{k\&Element;A\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}\right)(\underset{q\&Element;B\left(s_n\right),q\&NotEqual;j}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_q}+r_j)---\left(3a\right);$

B (s in formula _n) be by s _nthe indexed set that formed of the label of the first back-up protection;

C), the second back-up protection:

If r _lfor element s _nthe second back-up protection, be also s in its protection domain _nnearby device s _xthere is provided back-up protection far away, then r in following 2 kinds of situations _lshould action:

1., equipment s _nfault (s _n=1) and its main protection and the first back-up protection r _jall not operating (r _l=0, r _j=0);

2., equipment s _x∈ z (r _l, s _n) and s _x≠ s _nfault, and r _lto s _kassociated path on all isolating switchs be all in closure state, wherein, Z (r _l, s _n) be r _lcluster tool in protection domain, p (r _l, s _x) be along supply path from protection r _linstallation place is to equipment place s _xthe set of all isolating switchs, for this reason, the action of the second back-up protection rl is expected can be expressed as

${f_r}_i=s_n\stackrel{\&OverBar;}{r_i{r}_j}\&CirclePlus;\underset{s_x\&Element;z(r_l,s_n),s_z\&NotEqual;s_n}{\mathrm{\&Sigma;}}\left(s_x\underset{c_t\&Element;p(r_l,s_k)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{c_t}\right)---\left(4\right);$

In formula: ∑ presentation logic connects ⊕ computing, lower same;

If s _nthe second back-up protection have multiple, with multiple main protection and first back-up protection analysis classes seemingly, its arbitrary second back-up protection r _laction expect be adjusted to by formula (4):

${f_r}_i\left(s_n\underset{k\&Element;A\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_k}\underset{q\&Element;B\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_q}\right)(\underset{t\&Element;D\left(s_n\right)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{r_t}+r_j)\&CirclePlus;\underset{s_x\&Element;z(r_l,s_n),s_x\&NotElement;s_n}{\mathrm{\&Sigma;}}{s}_x\underset{c_t\&Element;p(r_l,s_x)}{\mathrm{\&Pi;}}\stackrel{\&OverBar;}{c_t}---\left(4a\right)$

D (s in formula _n) be by s _nthe indexed set that formed of the label of the second back-up protection;

D), breaker fail protection:

Breaker fail protection does not generally adopt separately multiple relaying configuration form arranged side by side, therefore to the following expression-form of the parsing of breaker fail protection, that is: when there being protection r _xaction drives isolating switch c _kduring tripping operation, as c _ktripping (c _k=0), now, breaker fail protection r _kshould action, its action is expected can be expressed as

${f_r}_k=\stackrel{\&OverBar;}{c_k}\underset{r_x\&Element;R\left(c_k\right)}{\mathrm{\&Sigma;}}{r}_x---\left(5\right).$

3. consider the electric network failure diagnosis analytic model under multiple protective configuration according to claim 1, it is characterized in that, comprise breaker actuation rule parsing:

The analytical form of breaker actuation rule is anyly can drive isolating switch c _kthe protection r of tripping operation _xaction, isolating switch c _kshould trip, its action is expected to be expressed as

${f_c}_k=\underset{r_x\&Element;R\left(c_k\right)}{\mathrm{\&Sigma;}}{r}_x---\left(6\right);$

Can find out from above-mentioned electric network protection rule parsing formula (2)-(6), f is expected in the action of protection _rf is expected in the action of (r ∈ R) and isolating switch _c(c ∈ C) is all the explicit function of variable S, R, C, i.e. f _r, f _c∈ J, J={f|f:(S, R, C) → { 0,1}}.

4. consider the electric network failure diagnosis analytic model under multiple protective configuration according to claim 1, it is characterized in that, it is expect to express to the action of protection and isolating switch that the operating state of protection and isolating switch resolves the parsing of above-mentioned action rules, but the operating state of its reality not equivalent is expected in this action, therefore, the parsing of electric network protection rule, except the action rules of protection and isolating switch is resolved, also comprises the operating state parsing of corresponding protection and isolating switch;

Consider tripping and the maloperation situation of protection, cause the situation of protection act to have two kinds to arbitrary protection r ∈ R:

A) excitation (f of protection act, is had _r, and the non-tripping (d of this protection=1) _r=0);

B), protection there occurs malfunction (m _r=1);

So the operating state of protection r ∈ R resolves to

$\left\{\begin{array}{c}r=f_r\stackrel{\&OverBar;}{d_r}\&CirclePlus;m_r\\ d_r{m}_r\&CirclePlus;{\mathrm{rd}}_r\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_r\&CirclePlus;f_r{m}_r\&CirclePlus;\stackrel{\&OverBar;}{f_r}{d}_r=0\end{array}\right.---\left(7\right);$

Similarly, the tripped condition of arbitrary isolating switch c ∈ C resolves to:

$\left\{\begin{array}{c}c=f_c\stackrel{\&OverBar;}{d_c}\&CirclePlus;m_c\\ d_c{m}_c\&CirclePlus;{\mathrm{rd}}_c\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_c\&CirclePlus;f_c{m}_c\&CirclePlus;\stackrel{\&OverBar;}{f_c}{d}_c=0\end{array}\right.---\left(8\right);$

4), fault diagnosis analytic model:

The complete analytic model of fault diagnosis is obtained by the operating state analytic expression protected with isolating switch; therefore; the tripped condition analytic expression (8) of relevant protection act state analytic expression (7) and isolating switch is carried out simultaneous, and the complete analytic model of electric network failure diagnosis can be expressed as:

$\left\{\begin{array}{c}r=f_r\stackrel{\&OverBar;}{d_r}\&CirclePlus;m_r\\ d_r{m}_r\&CirclePlus;{\mathrm{rd}}_r\&CirclePlus;\stackrel{\&OverBar;}{r}{m}_r\&CirclePlus;f_r{m}_r\&CirclePlus;\stackrel{\&OverBar;}{f_r}{d}_r=0\\ c=f_c\stackrel{\&OverBar;}{d_c}\&CirclePlus;m_c\\ d_c{m}_c\&CirclePlus;{\mathrm{cd}}_c\&CirclePlus;\stackrel{\&OverBar;}{c}{m}_c\&CirclePlus;f_c{m}_c\&CirclePlus;\stackrel{\&OverBar;}{f_c}{d}_c=0\end{array}\right.---\left(9\right)$

In formula: r ∈ R; C ∈ C; f _r, f _c∈ J..

5. adopt the diagnostic method as the electric network failure diagnosis analytic model under any one consideration multiple protective configuration of Claims 1 to 4, it is characterized in that this diagnostic method step is:

1) objective function based on the lower electric network failure diagnosis model of multiple protective configuration, is set up:

Adopt the method for random optimization to solve above-mentioned analytic model, first write the equation in model as Unified Form: F (S, R, C, M, D)=0 then with G=(S, R, C, M, D) for parameter, build objective function:

$\begin{array}{c}E\left(G\right)=\underset{i=1}{\overset{Z}{\mathrm{\&Sigma;}}}\left|\right|r=r_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{K}{\mathrm{\&Sigma;}}}\left|\right|c_i=c_i^{\&prime;}\left|\right|+\underset{i=1}{\overset{Z}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_r}_i\right||+|\left|{M_r}_i\right|\left|\right)+\underset{i=1}{\overset{K}{\mathrm{\&Sigma;}}}\left(\right|\left|{d_c}_i\right||+|\left|{M_c}_i\right|\left|\right)\\ +\underset{i=1}{\overset{2Z+2K}{\mathrm{\&Sigma;}}}\left|\right|f_i(S,R,C,M,D)\left|\right|\end{array}---\left(10\right)$

2), objective function is asked for optimized algorithm:

Based on Modified particle swarm optimization Algorithm for Solving objective function, at former discrete particle cluster algorithm inwardly, the mutation operation in introducing genetic algorithm, to strengthen local search ability, is amended as follows:

v _i,d(T+1)＝a ₁h _1,d(t)[p _i,d(t)-x _i,d(t)+a ₂h _2,d(t)[p _g,d(t)-x _i,d(t)]

If 1. S [h _i,d(t) <v _i,d(t+1)], so x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

If 2. h' _i,d(t) <R [x _i' (t+1), so, x' _i,d(t+1) ≠ x _i,d(t); Otherwise x' _i,d(t+1)=x _i,d(t)

In above-mentioned algorithm: a ₁, a ₂accelerator coefficient, usual 0≤a ₁, a ₂≤ 2; h _{1, d}(t), h _{2, d}(t), h _i,d(t), h' _i,dt () is the pseudo random number between (0,1), be used for regulating the stochastic process of algorithm; S (v)=1-1/e ^{| v|}, in order to the evolution algorithmic probability of particle; T (x)=1-1/{1+ln [1+f (x)] } be mutation probability, f (x) is the fitness function of particle, and fitness function modus ponens (10), particle x gets (S, R, C, M, D).