CN110323782A - A kind of replaceable capacity determining methods of maximum that normal power supplies are substituted by new energy - Google Patents
A kind of replaceable capacity determining methods of maximum that normal power supplies are substituted by new energy Download PDFInfo
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Abstract
The invention belongs to the replaceable capacity determining methods of maximum that high proportion New-energy power system judgement of stability technical field more particularly to a kind of normal power supplies are substituted by new energy.This method comprises: electric system is simplified；Establish the nodal voltage equation for simplifying electric system；Establish the nodal voltage equation after eliminating system reference node；Conventional power unit part is eliminated on the basis of nodal voltage equation, obtains relational expression between system admittance element and new energy injecting power；According to admittance property and network transformation, derives and simplify relational expression between system admittance element and new energy injecting power；The condition that the relational expression is set up is derived in the position of complex plane by judging to simplify variable in relational expression, obtains the replaceable capacity of maximum that normal power supplies are substituted by new energy.The present invention can accurately derive the critical condition of system unstability after new energy replacement normal power supplies, quickly determine the maximum capacity that normal power supplies can be replaced by new energy, have higher application value.
Description
Technical field
The invention belongs to high proportion New-energy power system judgement of stability technical field more particularly to a kind of normal power supplies
By the replaceable capacity determining methods of maximum of new energy substitution.
Background technique
Under the background that environmental issue and energy crisis are got worse, greatly develop using wind-powered electricity generation and photovoltaic power generation as representative
New energy realizes the energy and economic sustainable development, is the development trend of China's Future Power System certainty.However, new energy
Source power generation has randomness and fluctuation, and as new-energy grid-connected ratio steps up, the source of power grid and lotus end are uncertain
It can significantly increase, the operation form of electric system is more complicated, and furthermore new-energy grid-connected will introduce more power electronics and set
It is standby, it is smaller and smaller to thereby result in electric system inertia, therefore new-energy grid-connected will produce bigger effect stability of power system.
Under the premise of power load held stationary, it is to realize having for sustainable development that normal power supplies, which are replaced with new energy,
Effect approach.However as the increase for sending new energy ratio outside, the power grid in more and more areas shows " quasi- receiving end " feature, existing
Not in sending end power grid, it is also different from complete receiving-end system, therefore conventional stability analysis method is difficult to be applicable in.For " it is quasi- by
End system " carries out research to new-energy grid-connected point maintenance level and is of great significance.Most of researchs pass through emulation point at present
Analysis, it has proved that with the increase of new energy replacement normal power supplies ratio, system stability will gradually improve, and reach to a certain degree
Afterwards, stability no longer improves, and occurs degradating trend instead, but how to determine interchangeable maximum capacity, and current research is simultaneously
Valid conclusion is not obtained.
Therefore, it is necessary to which the system change mechanism after new energy replacement normal power supplies, show that new energy replacement is conventional
The critical condition of system unstability after power supply, so that the maximum replaceable capacity of new energy can quickly, effectively be determined by searching out one kind
Method.
Summary of the invention
To solve in the case where meeting the requirement of power system voltage and angle stability, normal power supplies are difficult by new energy replacement ratio
With determining problem, the invention proposes the replaceable capacity determining methods of maximum that a kind of conventional energy resource is substituted by new energy, energy
The enough critical condition for accurately deriving new energy and replacing system unstability after normal power supplies, to quickly determine that normal power supplies can be by new
The maximum capacity of energy replacement.
To reach above-mentioned technical purpose, the present invention is adopted the following technical scheme that.
A kind of replaceable capacity determining methods of maximum that normal power supplies are substituted by new energy, specifically includes the following steps:
Step 1: electric system is simplified；
Step 2: establishing the nodal voltage equation for simplifying electric system；
Step 3: by the member that disappears, obtaining eliminating the nodal voltage equation after system reference node；
Step 4: on the basis of step 3 built equation, eliminating conventional power unit part, obtain system admittance element and new energy
Relational expression between injecting power；
Step 5: according to admittance property and network transformation, deriving between system admittance element and new energy injecting power
Simplify relational expression；
Step 6: variable derives that the relational expression is set up in the position of complex plane in the relational expression as obtained by judgment step 5
Condition, to obtain the replaceable capacity of maximum that normal power supplies are replaced by new energy.
Further, electric system described in the step 1 simplifies method are as follows:
All conventional power units and new energy source machine group are equivalent to a generating set respectively, capacity is equal to all same types
The sum of unit capacity, when operation, can focus on the maximum unit of capacity, ignore influence of the on-position to system；It generates electricity to removing
The node of machine carries out cancellation operation, i.e. hypothesis node k is the node removed after generator, coupled node be i (i=1,
2 ..., N), line admittance is Y between node k and node iki, then after eliminating node k, node m and node n (m, n ∈ i and m ≠ n)
Between admittance become Ymn=(Ymk×Ykn)/∑Yki, top-operation is repeated until conventional power generation unit is only left equivalent generator
Group replaces node for new energy, carries out similar operations, until being left equivalent new energy unit.By above method, by electric power
System is reduced to 3 node systems, and wherein S node is with reference to generator (being equivalent to infinite busbar), and G node is conventional power unit
(group), W node are the new energy unit (group) replaced after normal power supplies, and the load of new energy unit and same bus is used PQ
Node carries out equivalent, load bus variation synchronous with new energy replacement capacity, holding trend balance.
Further, simplify the nodal voltage equation of electric system described in the step 2 are as follows:
Wherein, YGG、YWW、YSSThe respectively self-admittance of normal power supplies node, new energy node, reference mode；YGWWith YWG
For the transadmittance between normal power supplies node and new energy node；YGSWith YSGFor the mutual conductance between normal power supplies node and reference mode
It receives；YWSWith YSWTransadmittance respectively between new energy node and reference mode；Respectively normal power supplies section
Point, new energy node, reference mode voltage；Respectively normal power supplies node, new energy node, reference node
The voltage of point；The respectively Injection Current of normal power supplies node, new energy node, reference mode.
Further, the nodal voltage equation after system reference node is eliminated in the step 3 are as follows:
Wherein, YGGFor normal power supplies node self-admittance, YGWAnd YWGFor the mutual conductance between normal power supplies node and new energy node
It receives, YGSFor the transadmittance between normal power supplies node and reference mode, YWSFor the transadmittance between new energy node and reference mode,
YWWThe self-admittance of the node, Y before being replaced for new energyWFor new energy equivalent admittance, The respectively voltage of normal power supplies node, new energy node, reference mode；For the Nuo Dun of conventional power unit
Equivalent current,
Further, the system admittance element obtained behind conventional power unit part is eliminated in the step 4 and new energy injects function
Relational expression between rate are as follows:
Wherein, PwAnd QwRespectively (outflow node is positive the active power and reactive power of new energy injection, flows into node
It is negative)；θWFor new energy node voltage phase angle；EGGFor conventional generator electromotive force；x′dFor conventional generator d-axis transient state electricity
It is anti-；δ is conventional generator generator rotor angle.
Further, the step 5 method particularly includes: since in power transmission network, branch resistance is much smaller than reactance, branch
In admittance, real part absolute value is much smaller than imaginary part absolute value, YWSWithNumerical attribute having the same, therefore ignore step
Rapid 4 gained relational expression right side of the equal sign the 2nd.
It enablesBy proving to know YW′WIt is the equal of primitive network through star
The node admittance matrix of equivalent network after having eliminated G node cluster after net transformation, property (symmetry, Research On Diagonal Dominance, real void
Portion's size relation) transformation front and back remain unchanged.
Then by simplification above, the simplification relational expression that can be obtained between system admittance element and new energy injecting power is
Wherein, G 'WWWith B 'WWNew energy node conductance and susceptance under respectively above-mentioned simplified condition.
Further, the step 6 method particularly includes: due to YGWReal part is less than 0, and imaginary part is greater than 0, and imaginary part absolute value is remote
Greater than real part absolute value, therefore YGWPositioned at the second quadrant of complex plane and it is partial to the imaginary axis,Real part imaginary part be all larger than 0, general feelings
Its imaginary part is also greater than real part under condition, thereforePositioned at complex plane first quartile and it is partial to the imaginary axis, therefore at conventional generator generator rotor angle
When non-unstability but possible unstability region, i.e., 180 ° 90 ° of > δ >, step 5 gained relational expression right end amount maximum probability is located at complex plane
First quartile.
For the left end of step 5 gained relational expression, due to G 'WW> 0, B 'WW< 0, solution of equation meets -90 ° under normal circumstances
90 ° of < θ <, therefore only work as G 'WW+Pw+j(B′WW-Qw) be located at complex plane the 2nd, 4 quadrant when be just able to satisfy primary condition.It examines
Consider PW< 0, QW< 0, when | G 'WW| < | PW|, and when wind power plant Reactive-power control scarce capacity, it is likely that so that G 'WW+PW+j
(B′WW-QW) it is located at complex plane third quadrant, step 5 gained relational expression is without solution, system voltage unstability at this time.Therefore normal power supplies by
The replaceable capacity of the maximum of new energy substitution is equal to the real part that system is retracted to new energy feed-in bus nodes admittance matrix, it may be assumed that
|PW|MAX=| G 'WW|
Wherein, | PW|MAXThe replaceable capacity of maximum substituted for normal power supplies by new energy.
Beneficial effects of the present invention:
The method of the present invention analyzes the stability characteristic (quality) of electric system after new-energy grid-connected from mechanism, accurately and effectively derives
New energy replaces the critical condition of system unstability after normal power supplies out, so as to quickly determine that normal power supplies can be replaced by new energy
Maximum capacity, provide theoretical direction for high proportion New-energy power system stability analysis, have higher application value.
Detailed description of the invention
Fig. 1 is the process for the replaceable capacity determining methods of maximum that a kind of normal power supplies of the present invention are substituted by new energy
Figure.
Fig. 2 is simplified electric system schematic diagram established by the present invention.
Fig. 3 is that the present invention judges that variable is in complex plane position in admittance element and the simplified relational expression of new energy injecting power
Schematic diagram.
Fig. 4 is system stable case schematic diagram in the specific embodiment of the invention, wherein figure (a) is system angle stability feelings
Condition, figure (b) are system voltage stable case.
Specific embodiment
Present invention will be further explained with reference to the attached drawings and specific examples, but protection scope of the present invention is simultaneously
It is without being limited thereto.
As shown in Figure 1, a kind of determination side of the normal power supplies of the present invention by the replaceable capacity of maximum that new energy substitutes
Method, specific implementation step are as follows:
(1) electric system is simplified: all conventional power units and new energy source machine group is equivalent to a generator respectively
Group, capacity are equal to the sum of all same type units capacity, and when operation can focus on the maximum unit of capacity, ignore on-position
Influence to system；Cancellation operation is carried out to the node for removing generator, i.e. hypothesis node k is the node removed after generator,
Coupled node is i (i=1,2 ..., N), and line admittance is Y between node k and node iki, then after eliminating node k, section
Admittance becomes Y between point m and node n (m, n ∈ i and m ≠ n)mn=(Ymk×Ykn)/∑Yki, top-operation is repeated until conventional hair
Motor group is only left equivalent generator group, replaces node for new energy, carries out similar operations, until being left equivalent new energy source machine
Group.By above method, electric system is reduced to 3 node systems, wherein S node is (to be equivalent to infinity with reference to generator
Bus), G node is conventional power unit (group), and W node is the new energy unit (group) replaced after normal power supplies, by new energy unit
Equivalent, load bus variation synchronous with new energy replacement capacity, holding trend are carried out with PQ node with the load of same bus
Balance.
(2) nodal voltage equation for simplifying electric system is established:
Wherein, YGG、YWW、YSSThe respectively self-admittance of normal power supplies node, new energy node, reference mode；YGWWith YWG
For the transadmittance between normal power supplies node and new energy node；YGSWith YSGFor the mutual conductance between normal power supplies node and reference mode
It receives；YWSWith YSWTransadmittance respectively between new energy node and reference mode；Respectively normal power supplies section
Point, new energy node, reference mode voltage；Respectively normal power supplies node, new energy node, reference node
The voltage of point；The respectively Injection Current of normal power supplies node, new energy node, reference mode.
(3) it by the member that disappears, obtains eliminating the nodal voltage equation after system reference node:
Wherein, YGGFor normal power supplies node self-admittance, YGWAnd YWGFor the mutual conductance between normal power supplies node and new energy node
It receives, YGSFor the transadmittance between normal power supplies node and reference mode, YWSFor the transadmittance between new energy node and reference mode,
YWWThe self-admittance of the node, Y before being replaced for new energyWFor new energy equivalent admittance, The respectively voltage of normal power supplies node, new energy node, reference mode；For the Nuo Dun of conventional power unit
Equivalent current,
(4) on the basis of step (3) built equation, conventional power unit part is eliminated, system admittance element and new energy are obtained
Relational expression between injecting power:
Wherein, PwAnd QwRespectively (outflow node is positive the active power and reactive power of new energy injection, flows into node
It is negative)；θWFor new energy node voltage phase angle；EGGFor conventional generator electromotive force；x′dFor conventional generator d-axis transient state electricity
It is anti-；δ is conventional generator generator rotor angle.
(5) according to admittance property and network transformation, the letter between system admittance element and new energy injecting power is derived
Change relational expression:
Due in power transmission network, branch resistance is much smaller than reactance, and in branch admittance, real part absolute value is exhausted much smaller than imaginary part
To value, YWSWithNumerical attribute having the same, therefore ignore obtained by step (4) relational expression right side of the equal sign the 2nd.
It enablesBy proving to know Y 'WWIt is the equal of primitive network through star
The node admittance matrix of equivalent network after having eliminated G node cluster after net transformation, property (symmetry, Research On Diagonal Dominance, real void
Portion's size relation) transformation front and back remain unchanged.
Then by simplification above, the simplification relational expression that can be obtained between system admittance element and new energy injecting power is
Wherein, G 'WWWith B 'WWNew energy node conductance and susceptance under respectively above-mentioned simplified condition.
(6) variable derives what the relational expression was set up in the position of complex plane in the relational expression as obtained by judgment step (5)
Condition, to obtain the replaceable capacity of maximum that normal power supplies are replaced by new energy:
Due to YGWReal part is less than 0, and imaginary part is greater than 0, and imaginary part absolute value is much larger than real part absolute value, therefore YGWPositioned at putting down again
The second quadrant of face and it is partial to the imaginary axis,Real part imaginary part be all larger than 0, its imaginary part is also greater than real part under normal circumstances, therefore
Positioned at complex plane first quartile and it is partial to the imaginary axis, therefore works as conventional generator generator rotor angle and be in non-unstability but possible unstability region, i.e.,
At 180 ° 90 ° of > δ >, relational expression right end amount maximum probability obtained by step (5) is located at the first quartile of complex plane.
For the left end of relational expression obtained by step (5), due to G 'WW> 0, B 'WW< 0, under normal circumstances solution of equation meet-
90 ° of 90 ° of < θ <, therefore only work as G 'WW+Pw+j(B′WW-Qw) be located at complex plane the 2nd, 4 quadrant when be just able to satisfy basic article
Part.In view of PW< 0, QW< 0, when | G 'WW| < | PW|, and when wind power plant Reactive-power control scarce capacity, it is likely that so that G 'WW
+PW+j(B′WW-QW) it is located at complex plane third quadrant, relational expression obtained by step (5) is without solution, system voltage unstability at this time.Therefore often
The replaceable capacity of maximum that rule power supply is substituted by new energy, is retracted to new energy feed-in bus nodes admittance matrix equal to system
Real part, it may be assumed that
|PW|MAX=| G 'WW| (5)
Wherein, | PW|MAXThe replaceable capacity of maximum substituted for normal power supplies by new energy.
The present invention is described by a specific embodiment further below.By simplified method of the present invention, by certain
System is reduced to 3 machine, 9 node system, it is assumed that simplifies the conventional power generation unit wattful power of G node access in electric system shown in Fig. 2
Rate is 150MW, and the conventional power unit that W node accesses is replaced with new energy unit, replacement capacity be respectively 80MW, 90MW and
100MW, a reference value 100MW.Table 1 is that system is retracted to new energy feed-in bus nodes admittance matrix.
1 system of table is retracted to new energy feed-in bus nodes admittance matrix
The method provided according to the present invention, the maximum capacity that new energy replaces normal power supplies is 103MW.Come from simulation result
It sees, when new energy replacement capacity is 80MW and 90MW, system generator rotor angle and voltage keep stable；When new energy replacement capacity is
When 100MW, thus system generator rotor angle and the equal unstability of voltage demonstrate the correctness of the method for the present invention (due to derivation process of the present invention
In carried out several simplification, there may be slight errors between actual result and calculated result).
The foregoing is merely the present invention preferably specific embodiments, but use scope of the invention is not limited thereto,
Without departing substantially from substantive content of the present invention, any conspicuous improvement that those skilled in the art can make is replaced
It changes or modification all belongs to the scope of protection of the present invention.Therefore, the scope of application of the invention should be with the scope of application of claim
Subject to.
Claims (7)
1. the replaceable capacity determining methods of maximum that a kind of normal power supplies are substituted by new energy, which is characterized in that specifically include with
Lower step:
Step 1: electric system is simplified；
Step 2: establishing the nodal voltage equation for simplifying electric system；
Step 3: by the member that disappears, obtaining eliminating the nodal voltage equation after system reference node；
Step 4: on the basis of step 3 built equation, eliminating conventional power unit part, obtain system admittance element and new energy injects
Relational expression between power；
Step 5: according to admittance property and network transformation, deriving the simplification between system admittance element and new energy injecting power
Relational expression；
Step 6: variable derives the item that the relational expression is set up in the position of complex plane in the relational expression as obtained by judgment step 5
Part, to obtain the replaceable capacity of maximum that normal power supplies are replaced by new energy.
2. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, electric system is carried out to simplified method in the step 1 are as follows:
All conventional power units and new energy source machine group are equivalent to a generating set respectively, capacity is equal to all same type units
The sum of capacity, when operation, can focus on the maximum unit of capacity, ignore influence of the on-position to system；To removal generator
Node carries out cancellation operation, i.e. hypothesis node k is the node removed after generator, coupled node be i (i=1,2 ...,
N), line admittance is Y between node k and node iki, then after eliminating node k, between node m and node n (m, n ∈ i and m ≠ n)
Admittance becomes Ymn=(Ymk×Ykn)/∑Yki, repetition top-operation is only left equivalent generator group up to conventional power generation unit, right
Node is replaced in new energy, carries out similar operations, until being left equivalent new energy unit；By above method, by electric system
3 node systems are reduced to, wherein S node is with reference to generator (being equivalent to infinite busbar), and G node is conventional power unit (group), W
Node is the new energy unit (group) replaced after normal power supplies, by the load of new energy unit and same bus use PQ node into
Row is equivalent, and load bus variation synchronous with new energy replacement capacity keeps trend balance.
3. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, simplifies the nodal voltage equation of electric system in the step 2 are as follows:
Wherein, YGG、YWW、YSSThe respectively self-admittance of normal power supplies node, new energy node, reference mode；YGWWith YWGFor routine
Transadmittance between power supply node and new energy node；YGSWith YSGFor the transadmittance between normal power supplies node and reference mode；YWSWith
YSWTransadmittance respectively between new energy node and reference mode；Respectively normal power supplies node, new energy
The voltage of node, reference mode；The respectively voltage of normal power supplies node, new energy node, reference mode；The respectively Injection Current of normal power supplies node, new energy node, reference mode.
4. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, the nodal voltage equation after system reference node is eliminated in the step 3 are as follows:
Wherein, YGGFor normal power supplies node self-admittance, YGWAnd YWGFor the transadmittance between normal power supplies node and new energy node,
YGSFor the transadmittance between normal power supplies node and reference mode, YWSFor the transadmittance between new energy node and reference mode, YWWFor
The self-admittance of the node, Y before new energy is replacedWFor new energy equivalent admittance,
The respectively voltage of normal power supplies node, new energy node, reference mode；For the Norton equivalent electric current of conventional power unit,
5. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, in the step 4 behind cancellation conventional power unit part between obtained system admittance element and new energy injecting power
Relational expression are as follows:
Wherein, PwAnd QwRespectively (outflow node is positive the active power and reactive power of new energy injection, flows into node and is
It is negative)；θWFor new energy node voltage phase angle；EGGFor conventional generator electromotive force；x′dFor conventional generator d-axis transient state reactance；δ
For conventional generator generator rotor angle.
6. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, the step 5 method particularly includes: since in power transmission network, branch resistance is much smaller than reactance, branch admittance
In, real part absolute value is much smaller than imaginary part absolute value, YWSWithNumerical attribute having the same, therefore ignore step 4 institute
Obtain relational expression right side of the equal sign the 2nd；
It enablesBy proving to know Y 'WWIt is the equal of that primitive network is converted through StarNet
The node admittance matrix of equivalent network after having eliminated G node cluster afterwards, property (symmetry, Research On Diagonal Dominance, real imaginary part size
Relationship) transformation front and back remain unchanged；
Then by simplification above, the simplification relational expression between system admittance element and new energy injecting power can be obtained are as follows:
Wherein, G 'WWWith B 'WWNew energy node conductance and susceptance under respectively above-mentioned simplified condition.
7. the replaceable capacity determining methods of maximum that a kind of normal power supplies according to claim 1 are substituted by new energy,
It is characterized in that, the step 6 method particularly includes: due to YGWReal part is less than 0, and imaginary part is greater than 0, and imaginary part absolute value is much larger than real
Portion's absolute value, therefore YGWPositioned at the second quadrant of complex plane and it is partial to the imaginary axis,Real part imaginary part be all larger than 0, under normal circumstances
Its imaginary part is also greater than real part, thereforePositioned at complex plane first quartile and it is partial to the imaginary axis, therefore when conventional generator generator rotor angle is in not
Unstability but may unstability region, i.e., at 180 ° 90 ° of > δ >, step 5 gained relational expression right end amount maximum probability is located at the of complex plane
One quadrant；
For the left end of step 5 gained relational expression, due to G 'WW> 0, B 'WW< 0, solution of equation meets -90 ° of < θ < under normal circumstances
90 °, therefore only work as G 'WW+Pw+j(B′WW-Qw) be located at complex plane the 2nd, 4 quadrant when be just able to satisfy primary condition.It considers
PW< 0, QW< 0, when | G 'WW| < | PW|, and when wind power plant Reactive-power control scarce capacity, it is likely that so that G 'WW+PW+j
(B′WW-QW) it is located at complex plane third quadrant, step 5 gained relational expression is without solution, system voltage unstability at this time.Therefore normal power supplies by
The replaceable capacity of the maximum of new energy substitution is equal to the real part that system is retracted to new energy feed-in bus nodes admittance matrix, it may be assumed that
|PW|MAX=| G 'WW|
Wherein, | PW|MAXThe replaceable capacity of maximum substituted for normal power supplies by new energy.
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| CN113270861A (en) * | 2021-04-14 | 2021-08-17 | 国网甘肃省电力公司经济技术研究院 | Limit capacity calculation method for accessing renewable energy into power grid |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN113270861A (en) * | 2021-04-14 | 2021-08-17 | 国网甘肃省电力公司经济技术研究院 | Limit capacity calculation method for accessing renewable energy into power grid |
| CN113270861B (en) * | 2021-04-14 | 2022-10-11 | 国网甘肃省电力公司经济技术研究院 | Limit capacity calculation method for accessing renewable energy into power grid |
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