CN106712034A - Calculation method of power grid tidal current - Google Patents

Calculation method of power grid tidal current Download PDF

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Publication number
CN106712034A
CN106712034A CN201710194138.3A CN201710194138A CN106712034A CN 106712034 A CN106712034 A CN 106712034A CN 201710194138 A CN201710194138 A CN 201710194138A CN 106712034 A CN106712034 A CN 106712034A
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node
calculation
newton
power
tidal current
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CN106712034B (en
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赵利刚
周挺辉
甄鸿越
王长香
涂亮
黄冠标
杨诚
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Research Institute of Southern Power Grid Co Ltd
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Power Grid Technology Research Center of China Southern Power Grid Co Ltd
Research Institute of Southern Power Grid Co Ltd
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

Abstract

The invention discloses a calculation method of power grid tidal current, relating to the field of electric system analysis, and solving the problem of difficult convergence of power grid tidal current calculation. The calculation method of the power grid tidal current comprises the following steps: presetting a PQ convergence condition and a PQ iteration step number, calculating the power grid tidal current by adopting a PQ decomposition method, and judging whether a tidal current calculation result of the PQ decomposition method meets the PQ convergence condition or not; if the tidal current calculation result of the PQ decomposition method does not meet the PQ convergence condition, obtaining a corresponding iterative calculation result when the accumulated calculation error during calculation of the PQ decomposition method is minimum, taking the corresponding iterative calculation result as an initial value of a Newton-Laphson algorithm, and calculating the power grid tidal current by adopting the Newton-Laphson algorithm after presetting a Newton-Laphson convergence condition; and if the tidal current calculation result of the PQ decomposition method meets the PQ convergence condition, directly taking the tidal current calculation result of the PQ decomposition method as an initial value of the Newton-Laphson algorithm, and calculating the power grid tidal current by adopting the Newton-Laphson algorithm after presetting a Newton-Laphson convergence condition. The calculation method of the power grid tidal current, provided by the invention, is used for electric system analysis.

Description

A kind of computational methods of electric network swim
Technical field
The present invention relates to Power System Analysis field, more particularly to a kind of computational methods of electric network swim.
Background technology
It is to study a kind of basic of power system mesomeric state ruuning situation electrically to calculate that electric network swim is calculated, and its result of calculation is Model for Stability Calculation of Power System and the basis of accident analysis so that the normal planning for being widely used in power system of electric network swim calculating, In operation and research work.
At present, the computational methods of common electric network swim typically all use what is combined by PQ decomposition methods and Newton-Raphson approach Method, when specifically used, the larger condition of convergence and the iterative steps of maximum are set to PQ decomposition methods carries out PQ decomposition computations, when After the calculating of PQ decomposition methods restrains or reaches the iterative steps of maximum, the result of calculation of PQ decomposition methods is transferred to ox as initial value - the inferior method of pressgang in calculated.And compared with the condition of convergence of PQ decomposition methods, the condition of convergence of Newton-Raphson approach is small It is many, therefore electric network swim calculating in, after result of calculation reaches the condition of convergence of Newton-Raphson approach, just think power network Load flow calculation is restrained.
However, with the continuous increase and the continuous access of power equipment of power network scale, using the meter of above-mentioned electric network swim Calculation method, is frequently encountered PQ decomposition methods and calculates the situation of the condition of convergence of not reaching, and PQ decomposition methods be calculated it is active Power deviation amount and reactive power departure, do not reduce always with the increase of iterative steps so that the existing PQ for using Decomposition method, can not provide preferably initial value for Newton-Raphson approach, and the convergence for causing electric network swim to calculate is more and more difficult.
The content of the invention
It is tired for solving electric network swim calculating convergence it is an object of the invention to provide a kind of computational methods of electric network swim Difficult problem.
To achieve these goals, the present invention provides following technical scheme：
A kind of computational methods of electric network swim, comprise the following steps：
Step 1, presets the PQ conditions of convergence and PQ iterative steps, and electric network swim is calculated using PQ decomposition methods, obtains The calculation of tidal current of PQ decomposition methods, judges whether the calculation of tidal current of PQ decomposition methods meets the PQ conditions of convergence；
If be unsatisfactory for, step 2 is transferred to；If it is satisfied, then being transferred to step 3；
Step 2, corresponding iterative calculation result when accumulative error calculation is minimum in acquisition PQ decomposition method calculating process, will be repeatedly For result of calculation as PQ decomposition methods calculation of tidal current；
Step 3, presets the Newton-Raphson condition of convergence, using the calculation of tidal current of PQ decomposition methods as Newton-Raphson The initial value of method, is calculated the electric network swim using Newton-Raphson approach, obtains the Load flow calculation of Newton-Raphson approach As a result.
Compared with prior art, the computational methods of the electric network swim that the present invention is provided have the advantages that：
The computational methods of the electric network swim that the present invention is provided, meet PQ and receive in the calculation of tidal current for judging PQ decomposition methods After holding back condition, using the calculation of tidal current of PQ decomposition methods as Newton-Raphson approach initial value；And judging PQ decomposition methods After calculation of tidal current fails to meet the PQ conditions of convergence, correspondence when accumulative error calculation is minimum in acquisition PQ decomposition method calculating process Iterative calculation result, and using the iterative calculation result as PQ decomposition methods calculation of tidal current, be that Newton-Raphson approach is carried For initial value.It can be seen that, the computational methods of the electric network swim provided using the present invention, convergent trend during can PQ decomposition methods be calculated Result of calculation or the minimum calculation of tidal current of error, as the initial value of Newton-Raphson approach, so as to be Newton-Raphson approach Preferably initial value is provided, after being calculated electric network swim using Newton-Raphson approach, power network tide can be readily obtained The convergent result of calculation of stream calculation.
Brief description of the drawings
Accompanying drawing described herein is used for providing a further understanding of the present invention, constitutes a part of the invention, this hair Bright schematic description and description does not constitute inappropriate limitation of the present invention for explaining the present invention.In the accompanying drawings：
Fig. 1 is the flow chart of the computational methods of electric network swim provided in an embodiment of the present invention.
Specific embodiment
For ease of understanding, with reference to Figure of description, to the computational methods of electric network swim provided in an embodiment of the present invention It is described in detail.
Refering to Fig. 1, the computational methods of electric network swim provided in an embodiment of the present invention are comprised the following steps：
Step 1, presets the PQ conditions of convergence and PQ iterative steps, and electric network swim is calculated using PQ decomposition methods, obtains The calculation of tidal current of PQ decomposition methods, judges whether the calculation of tidal current of PQ decomposition methods meets the PQ conditions of convergence；
If be unsatisfactory for, step 2 is transferred to；If it is satisfied, then being transferred to step 3；
Step 2, corresponding iterative calculation result when accumulative error calculation is minimum in acquisition PQ decomposition method calculating process, will be repeatedly For result of calculation as PQ decomposition methods calculation of tidal current；
Step 3, presets the Newton-Raphson condition of convergence, using the calculation of tidal current of PQ decomposition methods as Newton-Raphson The initial value of method, is calculated the electric network swim using Newton-Raphson approach, obtains the Load flow calculation of Newton-Raphson approach As a result.
During specific implementation, in the computational methods of electric network swim provided in an embodiment of the present invention, PQ iterative steps refer to fair Perhaps PQ decomposition methods are iterated the maximum step number of calculating, and the PQ conditions of convergence and PQ iterative steps should be by this area engineering staff's roots The PQ decomposition method sets itselfs for needing to use are calculated according to electric network swim.After the default PQ conditions of convergence and PQ iterative steps, use PQ decomposition methods are calculated electric network swim, just can obtain the calculation of tidal current of PQ decomposition methods, now, judge PQ decomposition methods Whether calculation of tidal current meets the PQ conditions of convergence, if it is satisfied, then using the calculation of tidal current of PQ decomposition methods as newton-drawing The initial value of Fu Xunfa；If be unsatisfactory for, corresponding iteration when accumulative error calculation is minimum in acquisition PQ decomposition method calculating process Result of calculation, that is, compare the accumulative error calculation after often step iterative calculation in PQ decomposition methods, by accumulative error calculation it is minimum repeatedly For result of calculation as PQ decomposition methods calculation of tidal current, for Newton-Raphson approach provides initial value.Then, using newton-drawing Fu Xunfa is calculated electric network swim, obtains the calculation of tidal current of Newton-Raphson approach, completes the calculating of electric network swim.
By above-mentioned specific implementation process, the computational methods of electric network swim provided in an embodiment of the present invention are judging Go out PQ decomposition methods calculation of tidal current meet the PQ conditions of convergence after, using the calculation of tidal current of PQ decomposition methods as newton-drawing The initial value of Fu Xunfa；And after the calculation of tidal current for judging PQ decomposition methods fails to meet the PQ conditions of convergence, obtain PQ and decompose Corresponding iterative calculation result when accumulative error calculation is minimum in method calculating process, and decomposed the iterative calculation result as PQ The calculation of tidal current of method, for Newton-Raphson approach provides initial value.Therefore, using electric network swim provided in an embodiment of the present invention Computational methods, the minimum calculation of tidal current of convergent calculation of tidal current or error, makees during can PQ decomposition methods be calculated It is the initial value of Newton-Raphson approach, so that for Newton-Raphson approach provides preferably initial value, to use Newton-Raphson approach After calculating electric network swim, can readily obtain electric network swim and calculate convergent result of calculation.
It should be noted that in the calculating process of electric network swim, generally each generator in power network is regarded as corresponding Node to be calculated, specifically, using the known generator of active power and reactive power as PQ nodes, and will be active Power and the known generator of voltage magnitude are used as PV node.
Exemplary, the total number of generator is n in power network, i.e. the total number of power network interior joint corresponds to n, its In, the number of PQ nodes is m, and the number of PV node is n-m-1；Now, the calculating of electric network swim is then to solve for following public affairs Formula：
Wherein, PisIt is i-th active power preset value of node, QisIt is i-th reactive power preset value of node, ViFor I-th voltage magnitude of node, VjIt is j-th voltage magnitude of node, δiIt is i-th voltage phase angle of node, δjIt is j-th The voltage phase angle of node, GijIt is the electric conductivity value between i-th node and j-th node, BijIt is i-th node and j-th node Between susceptance value.
In above-described embodiment, the PQ conditions of convergence voluntarily set the need for being calculated according to electric network swim by this area engineering staff It is fixed.In the present embodiment, the PQ conditions of convergence are specifically set as：Wherein, ε often selects one very Small arithmetic number；
ΔPi kIt is that kth walks i-th active power departure of node after iterative calculation, and Δ Pi kObtained using equation below Arrive：
It is i-th reactive power departure of node after kth step iterative calculation, andObtained using equation below Arrive：
Wherein：Vi kIt is i-th voltage magnitude of node after kth step iterative calculation,For j-th after kth step iterative calculation The voltage magnitude of node,It is i-th voltage phase angle of node after kth step iterative calculation,For the after kth step iterative calculation The j voltage phase angle of node.
You need to add is that, the accumulative error calculation in the PQ decomposition method calculating process that above-described embodiment is used exists various Computational methods, specifically can be actually needed determination by this area engineering staff according to what electric network swim was calculated.Exemplary, this implementation In example, accumulative error calculation
Convergent difficulty is calculated in order to further reduce electric network swim, with continued reference to Fig. 1, provided in an embodiment of the present invention In the computational methods of electric network swim, also include：
Step 4, judges whether the calculation of tidal current of Newton-Raphson approach meets the Newton-Raphson condition of convergence；
If be unsatisfactory for, cancel the reactive power limitation of each node in power network, be transferred to step 5；If it is satisfied, then output Electric network swim calculates convergent result of calculation；
Step 5, successively perform step 1- steps 3, judge Newton-Raphson approach in step 3 calculation of tidal current whether Meet the Newton-Raphson condition of convergence；
If be unsatisfactory for, output electric network swim calculates not convergent result of calculation；If it is satisfied, then being transferred to step 6；
Step 6, recovers the reactive power limitation of each node in power network, step 1- steps 3 is performed successively, in judging step 3 Whether the calculation of tidal current of Newton-Raphson approach meets the Newton-Raphson condition of convergence；
If be unsatisfactory for, output electric network swim calculates not convergent result of calculation；If it is satisfied, then output electric network swim Calculate convergent result of calculation.
It should be noted that in the calculating process of electric network swim, generally each generator is all carried out as PV node Calculate, but each PV node also there are corresponding reactive power critical value, and the critical value of general reactive power includes one Individual higher limit and a lower limit；When certain reactive power of generator, i.e. the reactive power of certain PV node reaches higher limit Or after lower limit, the PV node correspondence is changed into PQ nodes, proceeds the calculating of electric network swim.
Therefore, in 4 the step of the present embodiment, the reactive power limitation for cancelling each node in power network specifically refers to cancel meter The reactive power of each node in power network is calculated, in other words, that is, does not consider that the reactive power of all generators in power network is critical Value, using all generators in power network always as PV node, calculates electric network swim.Respectively saved in step 4 cancels power network After the reactive power limitation of point, when step 5 is performed, the computational methods of electric network swim provided in an embodiment of the present invention have been ox - Load flow calculation of the inferior method of pressgang provides more excellent initial value, if the Load flow calculation knot of the Newton-Raphson approach for now obtaining Fruit disclosure satisfy that the Newton-Raphson condition of convergence, then according to step 6, recover the reactive power limitation of each node in power network, specifically To calculate the reactive power of each node in power network, the node that reactive power exceedes critical value is switched into PQ nodes from PV node, it is right Electric network swim is calculated again, so that whether the result of calculation for verifying electric network swim persistently restrains.
It is related to the size that power system reactive power in its calculating process is supported because whether the calculating of electric network swim restrains, After the reactive power of each node in cancelling power network is limited, the computational methods of electric network swim provided in an embodiment of the present invention can be ox - Load flow calculation of the inferior method of pressgang provides more excellent initial value, largely improves the convergence that electric network swim is calculated.And And, after the reactive power of each node in cancelling power network is limited, if the calculation of tidal current of Newton-Raphson approach meets ox - the inferior condition of convergence of pressgang, then recover the reactive power limitation of each node in power network, using PQ decomposition methods and Newton-Raphson Method is calculated electric network swim again, so that whether the result of calculation for verifying electric network swim persistently restrains so that electric network swim Calculating be obtained in that more accurate result of calculation.
In the description of above-mentioned implementation method, specific features, structure, material or feature can be at any one or many Combined in an appropriate manner in individual embodiment or example.
The above, specific embodiment only of the invention, but protection scope of the present invention is not limited thereto, and it is any Those familiar with the art the invention discloses technical scope in, change or replacement can be readily occurred in, should all contain Cover within protection scope of the present invention.Therefore, protection scope of the present invention should be based on the protection scope of the described claims.

Claims (6)

1. a kind of computational methods of electric network swim, it is characterised in that comprise the following steps：
Step 1, presets the PQ conditions of convergence and PQ iterative steps, and electric network swim is calculated using PQ decomposition methods, obtains PQ points The calculation of tidal current of solution, judges whether the calculation of tidal current of the PQ decomposition methods meets the PQ conditions of convergence；
If be unsatisfactory for, step 2 is transferred to；If it is satisfied, then being transferred to step 3；
Step 2, corresponding iterative calculation result when accumulative error calculation is minimum in acquisition PQ decomposition method calculating process described will change For result of calculation as the PQ decomposition methods calculation of tidal current；
Step 3, presets the Newton-Raphson condition of convergence, using the calculation of tidal current of the PQ decomposition methods as Newton-Raphson The initial value of method, is calculated the electric network swim using Newton-Raphson approach, obtains the Load flow calculation of Newton-Raphson approach As a result.
2. computational methods of electric network swim according to claim 1, it is characterised in that the computational methods of the electric network swim Also include：
Step 4, judges whether the calculation of tidal current of the Newton-Raphson approach meets the Newton-Raphson condition of convergence；
If be unsatisfactory for, cancel the reactive power limitation of each node in power network, be transferred to step 5；If it is satisfied, then output power network The convergent result of calculation of Load flow calculation；
Step 5, successively perform step 1- steps 3, judge Newton-Raphson approach in the step 3 calculation of tidal current whether Meet the Newton-Raphson condition of convergence；
If be unsatisfactory for, output electric network swim calculates not convergent result of calculation；If it is satisfied, then being transferred to step 6；
Step 6, recovers the reactive power limitation of each node in power network, step 1- steps 3 is performed successively, in judging the step 3 Whether the calculation of tidal current of Newton-Raphson approach meets the Newton-Raphson condition of convergence；
If be unsatisfactory for, output electric network swim calculates not convergent result of calculation；If it is satisfied, then output electric network swim is calculated Convergent result of calculation.
3. computational methods of electric network swim according to claim 2, it is characterised in that
In step 4, the reactive power limitation for cancelling each node in power network includes：
Cancel the reactive power for calculating each node in power network, using each node in the power network as PV node, to power network tide Stream is calculated；
In step 6, the reactive power limitation for recovering each node in power network includes：
The reactive power of each node in the power network is calculated, the node that reactive power exceedes critical value is switched to from PV node PQ nodes, calculate electric network swim；
Wherein, PV node refers to the known node of power network interior joint active power and node voltage amplitude, and PQ nodes refer to electricity The known node of net interior joint active power and node reactive power.
4. computational methods of electric network swim according to claim 1, it is characterised in that the PQ conditions of convergence are：
Wherein, ε is arithmetic number, Δ Pi kIt is i-th active power departure of node after kth step iterative calculation,It is kth I-th reactive power departure of node after step iterative calculation.
5. computational methods of electric network swim according to claim 4, it is characterised in that
The Δ Pi kObtained using equation below：
ΔP i k = P i s - V i k × Σ j = 1 n V j k { G i j c o s ( δ i k - δ j k ) + B i j s i n ( δ i k - δ j k ) } ;
It is describedObtained using equation below：
ΔQ i k = Q i s - V i k × Σ j = 1 n V j k { G i j s i n ( δ i k - δ j k ) - B i j c o s ( δ i k - δ j k ) } ;
Wherein：N is the number of power network interior joint, PisIt is i-th active power preset value of node, QisIt is i-th nothing of node Work(power preset value, Vi kIt is i-th voltage magnitude of node after kth step iterative calculation,For j-th after kth step iterative calculation The voltage magnitude of node,It is i-th voltage phase angle of node after kth step iterative calculation,For the after kth step iterative calculation The j voltage phase angle of node, GijIt is the electric conductivity value between i-th node and j-th node, BijIt is i-th node and j-th Susceptance value between node.
6. computational methods of electric network swim according to claim 1, it is characterised in that in step 2, the cumulative calculation is missed Difference
Wherein, n is the number of power network interior joint, and m is the number of PQ nodes in power network, Δ Pi kFor i-th after kth step iterative calculation The active power departure of node,It is i-th reactive power departure of node after kth step iterative calculation；
PQ nodes refer to the known node of power network interior joint active power and node reactive power.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107526003A (en) * 2017-07-20 2017-12-29 北京天泰怡和科技有限公司 Intelligent distribution network automatic analysis system
CN109038590A (en) * 2018-08-13 2018-12-18 中国电力科学研究院有限公司 A kind of method and system that Load flow calculation retracts
CN109217295A (en) * 2018-09-20 2019-01-15 吉林大学 The trend sensitivity computing method and computer installation of prevention system overload
CN109522676A (en) * 2018-12-24 2019-03-26 国网辽宁省电力有限公司电力科学研究院 A kind of distributed photovoltaic tidal current computing method based on Newton-Laphson algorithm

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US7321834B2 (en) * 2005-07-15 2008-01-22 Chang Gung University Method for calculating power flow solution of a power transmission network that includes interline power flow controller (IPFC)
CN104732459A (en) * 2015-03-31 2015-06-24 上海交通大学 Large-scale power system ill-condition load flow analysis system

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7321834B2 (en) * 2005-07-15 2008-01-22 Chang Gung University Method for calculating power flow solution of a power transmission network that includes interline power flow controller (IPFC)
CN104732459A (en) * 2015-03-31 2015-06-24 上海交通大学 Large-scale power system ill-condition load flow analysis system

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107526003A (en) * 2017-07-20 2017-12-29 北京天泰怡和科技有限公司 Intelligent distribution network automatic analysis system
CN109038590A (en) * 2018-08-13 2018-12-18 中国电力科学研究院有限公司 A kind of method and system that Load flow calculation retracts
CN109038590B (en) * 2018-08-13 2022-09-02 中国电力科学研究院有限公司 Load flow calculation backspacing method and system
CN109217295A (en) * 2018-09-20 2019-01-15 吉林大学 The trend sensitivity computing method and computer installation of prevention system overload
CN109522676A (en) * 2018-12-24 2019-03-26 国网辽宁省电力有限公司电力科学研究院 A kind of distributed photovoltaic tidal current computing method based on Newton-Laphson algorithm

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