CN106160012A - Parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm - Google Patents

Parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm Download PDF

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CN106160012A
CN106160012A CN201610526321.4A CN201610526321A CN106160012A CN 106160012 A CN106160012 A CN 106160012A CN 201610526321 A CN201610526321 A CN 201610526321A CN 106160012 A CN106160012 A CN 106160012A
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current
sharing
parallel operation
operation system
standard deviation
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CN106160012B (en
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彭志辉
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Wenzhou University
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Wenzhou University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J4/00Circuit arrangements for mains or distribution networks not specified as ac or dc

Abstract

The present invention relates to a kind of parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm, (underloading, semi-load can be covered by building parallel system in the case of different loads, nominal load and overload) the standard deviation matrix of power module actual current value and the equal flow valuve of expectation, and then calculate 1 norm of this standard deviation matrix, and evaluate system current-sharing performance height according to the value of 1 norm.The present invention is by building the current-sharing standard deviation matrix under various loading conditionAnd calculate1 norm | | A | |1.This norm characterizes parallel operation system current-sharing dynamic response process relative overshoot maximum and corresponding load current, provides foundation for parallel operation optimization design.By setting maximum allowable boundary value σmax, whether energy Quick parallel operation system current-sharing dynamic response process relative overshoot performance is qualified.

Description

Parallel operation system current-sharing performance evaluation based on current-sharing standard deviation matrix 1 norm Method
Technical field
The present invention relates to the parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm, be used for Evaluating parallel operation system current-sharing performance, when the method is equally applicable to other electronic equipment parallel runnings, current-sharing performance comments Valency.
Background technology
High-power parallel operation system which is multiple power module Parallel opertation structure, due to possess compatibility strong, can N+m A series of advantages such as redundancy backup, highly reliable, cost performance is high, design difficulty is relatively low, be easily managed, become solution high-power defeated One of preferred option going out Power Management Design.Equal Flow Technique has become the core technology of switch power module parallel operation.Current-sharing skill Art refers to, when multiple power module parallel operation, on the premise of meeting output voltage stable state accuracy and dynamic response, have relatively High-precision evenly distribute each power module load current.So, the height of switch power parallel electric power system current-sharing performance It is directly connected to the safe and reliable of machine system and high performance operation.
Due to parallel operation system, it works under various loading condition, covers underloading, semi-load, nominal load and overload Deng, thus must thoroughly evaluating system current-sharing performance in the case of different loads.Only parallel operation system is in various load bar All can meet current-sharing performance indications under part, just can ensure that the efficient, reliable of parallel operation system and long-life are run.
But, shown by the existing paper of inquiry and patent, not yet find a kind of science, reliable, comprehensive and practical Parallel operation system current-sharing method of evaluating performance, simply exists based on sagging parameter simultaneously in inverter parallel running system Through transport row evaluation method.But it is meritorious that the method is regulation, and idle occasion uses, and is not appropriate for other parallel operation system current sharings Can evaluate.Thus, when working under different load conditions for parallel operation system, a kind of science is reliable, comprehensive and practical Parallel operation system current-sharing method of evaluating performance has important impact for parallel operation system.
Content of the invention
It is an object of the invention to overcome above-mentioned weak point, it is proposed that based on the parallel connection of current-sharing standard deviation matrix 1 norm Electric power system current-sharing method of evaluating performance.The present invention by build parallel system in the case of different loads (can cover underloading, Semi-load, nominal load and overload) the standard deviation matrix of power module actual current value and the equal flow valuve of expectation, and then calculate this standard 1 norm of difference matrix, and evaluate system current-sharing performance height according to the value of 1 norm.
The technical scheme is that a kind of parallel operation system current-sharing performance based on current-sharing standard deviation matrix 1 norm Evaluation method, its step is as follows:
(1) it is that program-control electronic load electric current is adjusted interval time by adjacent two grades of load currents with cycle T, by i-th Shelves program-control electronic load current value is labeled asCorresponding i-th grade of power module current-sharing desired value mark It is designated asCurrent electronic load gear number is i;
(2) with cycle TsFor interval, parallel operation system power supply module output current is acquired;
(3) set up by NtThe parallel operation system power supply module output current value array { Data that × U × V element is constituted (m) (i) (j) }, wherein m={1,2 ... Nt, i={1,2 ... U}, j={1,2 ... V};NtFor parallel operation system power supply Module number, which is the positive integer more than 1;U is the gear number of program-control electronic load operating current, which is the positive integer more than 1;
(4) the power module current-sharing relative deviation of serial number m is obtainedWherein M={1,2 ... Nt, i={1,2 ... U}, j={1,2 ... V};
(5) mathematic expectaion of the power module current-sharing relative deviation of serial number m is obtainedWherein m= {1,2,...Nt, i={1,2 ... U};
(6) standard deviation of the power module current-sharing relative deviation of serial number m is obtained Wherein m={1,2 ... Nt, i={1,2 ... U};
(7) set up by NtThe N that × U element is constitutedtRow U row parallel operation system current-sharing standard deviation matrixMeet:
(8) solveSet up corresponding electronic load gear number k value with1-normWherein, i={1,2 ... U}, k ∈ [1, U];
(9) | | A | | is judged1≤σmaxWhether setting up, if set up, then marking parallel operation system current-sharing performance qualified;No Set up, then mark parallel operation system current-sharing performance defective;Wherein, σmaxFor parallel operation system current sharing set in advance Boundary value corresponding to the defective situation of energy.
Described step (2) detailed step is as follows, by the power module of m-th sequence number i-th grade of electronic load current situation J-th current data of down-sampling is labeled as Data (m) (i) (j);By the power module of m-th sequence number at i-th grade of electronic load J-th current data of current conditions down-sampling and power module current-sharing desired value IrefI () relative deviation is labeled as δ (m) (i) (j);By current data in the case of i-th grade of electronic load current for the power module of m-th sequence number and power module current-sharing mesh The mathematic expectaion of scale value relative deviation is labeled as Emi;By the power module of m-th sequence number in the case of i-th grade of electronic load current The label standard deviation of current-sharing relative deviation be σmi
Beneficial effects of the present invention:
1. present invention covers the operating modes such as underloading, semi-load, nominal load and overload, there is wide applicability;
2. the present invention is by building the current-sharing standard deviation matrix under various loading conditionAnd calculate1 norm | | A | |1.This norm characterizes parallel operation system current-sharing dynamic response process relative overshoot Big value and corresponding load current, provide foundation for parallel operation optimization design.
3. the present invention is by setting maximum allowable boundary value σmax, can Quick parallel operation system current-sharing dynamic response Whether process relative overshoot performance is qualified;
4. parallel operation system current-sharing method of evaluating performance of the present invention has calculating speed soon, and reliability is high, real By features such as property are strong;Can effectively prevent the parallel operation system failure from running, improve system lifetim and reliability, be parallel operation Security of system, Effec-tive Function provide Reliable guarantee.
Brief description
Fig. 1 is parallel operation system construction drawing.
Detailed description of the invention
Below for accompanying drawing, embodiments of the invention are described further:
The invention provides the parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm, main Will be based on following parallel operation system relative deviation between module actual current and desired reference electric current under different load conditions Standard deviation matrix 1 norm Mathematical Modeling: parallel operation system schematic is as it is shown in figure 1, mainly include host computer (PC), program control Electronic load and power module etc..Host computer (PC) major function is acquisition module IP address and module output current, control Program-control electronic load operating current and calculate current-sharing standard deviation matrix 1 norm and draw test result data;Program-control electronic load For regulating the load current of parallel operation system;Power module mainly realizes that receiving IP sets, receives host computer order data Export electric current with uploading to host computer.
Variable declaration is as follows: K is that power cabinet single file places number of power sources;N is power cabinet line number;NtFor power module sum Amount, meets: NtThe occurrence of=K × N, K and N can set according to actual conditions.Export electric current for parallel operation system nominal, MeetU is program-control electronic load operating current regulation gear number, and U can be sized according to actual needs.Light for meeting Running under load, semi-load, nominal load and overload situations, the setting value of U should be greater than 10.Exist for program-control electronic load Electric current is exported, wherein: U >=i >=1 when i-th grade;M is power module sequence number, meets: NtThe IP of individual module is according to from small to large Order is mapped as m=1, and 2 ... Nt, i.e. m=1 is the minimum module sequence number of IP, and m=2 is IP minimum module sequence number ..., with this Analogize m=NtFor the module sequence number that IP is maximum;V is to need the module output current gathering to count under a certain load current condition, and V can It is sized according to actual needs.M' is power module sequence number;I is the corresponding sequence number value of load current value;J adopts for output electric current Collection data sequence number.
Data(m)(i)(j),(Nt>=m >=1, U >=i >=1, V >=j >=1) it is that the power module of serial number m existsUnder the conditions of j-th current sampling data;For module current-sharing target reference, wherein: U >=i >= 1;δ (m) (i) (j) is that the power module of serial number m existsUnder the conditions of j-th sample rate current and current-sharing reference target Electric currentRelative standard deviation values, meet:
δ ( m ) ( i ) ( j ) = D a t a ( m ) ( i ) ( j ) - I r e f ( i ) I r e f ( i ) ,
Wherein: Nt≥m≥1,U≥i≥1,V≥j≥1;EmiPower module for serial number m existsCondition The mathematic expectaion of lower V relative standard deviation values δ (m) (i) (j), meets:σmiPower supply mould for serial number m Block existsUnder the conditions of the standard deviation of V relative standard deviation values δ (m) (i) (j), meet:
σ m i = 1 V Σ j = 1 V ( δ ( m ) ( i ) ( j ) - E m i ) 2 ,
Wherein m={1,2 ... Nt, i={1,2 ... U};For σmiStandard deviation matrix for element;|| A||11 norm for matrix A;σmaxFor | | A | |1Permission boundary value, can set according to actual needs.
Definition t=0 is the last moment of parallel operation system no-load running;T is adjacent two grades of load current interval times; Then t ∈ ((i-1) T, iT], (U >=i >=1) is parallel operation system load electric currentOperation time interval.Due to ?Running needs gather V sample data to each module, thus, host computer need to gather N altogethert×V Individual data.The time assuming one data of host computer collection is Ts, then system works inState needs Ttotal= Nt×V×TsTime, thus it must is fulfilled for T >=Nt×V×Ts.Again due to current-sharing performance and sampling number and sampling time TsPhase Close, thus T and T need to be considered according to the actual requirementssSize, it is ensured that the reliability of current-sharing performance evaluation.
First, from control engineering knowledge, evaluate the overshoot that the performance of system can be responded by system step, adjust Time and steady-state deviation index are weighed.Thus, parallel operation system electronic load byStep isWhen, we again may be by measurement module electric current output with current-sharing target reference between dynamic Response carrys out the current-sharing performance of evaluation module.Secondly, from mathematical statistics knowledge, what parallel system current-sharing standard deviation characterized is to be System current-sharing dynamic response process relative overshoot size, embodies the concentration degree during its current-sharing step response, can reflect power supply Module current-sharing performance indications;Finally, gained knowledge from functional, can be by asking for current-sharing standard deviation matrix 1 norm | | A | |1Carry out the current-sharing performance of overall merit parallel operation system.This be based on1 norm | | A | |1 Physical significance characterize parallel operation system current-sharing dynamic response process relative overshoot maximum and corresponding load current, And to provide its current-sharing performance parameter be | | A | |1
T ∈ ((i-1) T, iT], (U >=i >=1), electronic load current isThe then current-sharing target of module Reference current is:
I r e f ( i ) = i 10 I N p N t = i 10 I N , U ≥ i ≥ 1 , - - - ( 1 )
The power module output current sampled data data of acquisition serial number m:
Data(m)(i)(j),(Nt>=m >=1, U >=i >=1, V >=j >=1), thus, its current-sharing relative deviation data δ (m) I () (j) is:
δ ( m ) ( i ) ( j ) = D a t a ( m ) ( i ) ( j ) - I r e f ( i ) I r e f ( i ) , - - - ( 2 )
The power module asking for serial number m existsUnder the conditions of relative deviation δ (m) (i) (j) with regard to the mathematics of j Expect EmiFor:
E m i = Σ j = 1 V δ ( m ) ( i ) ( j ) V , - - - ( 3 )
Ask for the standard deviation sigma of the power module current-sharing relative deviation of serial number mmiFor:
σ m i = 1 V Σ j = 1 V ( δ ( m ) ( i ) ( j ) - E m i ) 2 , - - - ( 4 )
Wherein: m={1,2 ... Nt, i={1,2 ... U};σmiPhysical significance be: the power module of serial number m existsUnder the conditions of the standard deviation of relative deviation, σmiLess show power moduleUnder the conditions of all Flowable state response process relative overshoot is less, that is current-sharing concentration degree is better.With σmiBuild standard deviation matrix for element
A = σ 11 σ 12 ... σ 1 U σ 21 σ 22 ... σ 2 U ... ... ... ... N t 1 σ N t 2 ... σ N t U , - - - ( 5 )
Solve standard deviation matrix1 norm | | A | |1:
|| A || 1 = m a x i ( Σ m = 1 N t | σ m i | ) , i = 1 , 2 , ... U , - - - ( 6 )
||A||1Physical significance be: by NtThe parallel operation system current-sharing relative overshoot maximum institute of individual power supply composition Corresponding load current and performance number thereof | | A | |1
Parallel operation sytem matrix is set1 norm | | A | |1Maximum allowable boundary value σmax, and judge Formula:
||A||1< σmax, (7)
The physical significance of inequality (7) is: set parallel operation system current-sharing performance boundary value, for Quick simultaneously Whether connection electric power system meets requires.
The invention provides the parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm, bag Include following steps:
(1) it is that program-control electronic load electric current is adjusted interval time by adjacent two grades of load currents with cycle T, by first Shelves program-control electronic load current value is labeled asCorresponding first grade of module current-sharing desired value mark ForCurrent electronic load gear number is i, makes i=1;
(2) with cycle TsFor interval, parallel operation system power supply module output current is acquired.By first sequence number First current data sampling in the case of first grade of electronic load current of power module be labeled as Data (1) (1) (1); First current data sampling the power module of first sequence number in the case of first grade of electronic load current is equal with module Stream desired value Iref(1) relative deviation is labeled as δ (1) (1) (1);By the power module of first sequence number at first grade of electronic load Current data under current conditions is labeled as E with the mathematic expectaion of module current-sharing desired value relative deviation11;By first sequence number The standard deviation of current-sharing relative deviation in the case of first grade of electronic load current for the power module is labeled as σ11;Current power mould Block serial number m, makes m=1;Current electronic load gear number is i, makes i=1;The current current times that gathers is j, makes j=1;
(3) set up by NtThe parallel operation system module output current value array { Data (m) that × U × V element is constituted (i) (j) }, wherein m={1,2 ... Nt, i={1,2 ... U}, j={1,2 ... V};NtFor parallel operation system power supply mould Number of blocks, which is the positive integer more than 1;U is the gear number of program-control electronic load operating current, which is the positive integer more than 1.It is full Foot is evaluated and is covered underloading, semi-load, nominal load and overload situations, and the value of U is more than 10;V is to need in the case of each grade of electronic load The number of times of acquisition module output electric current, which is the positive integer more than 1;M is current power module sequence number, and i is Current electronic load Gear number, j gathers current times for current.
(4) the power module current-sharing relative deviation of serial number m is solvedWherein M={1,2 ... Nt, i={1,2 ... U}, j={1,2 ... V};
(5) mathematic expectaion of the power module current-sharing relative deviation of serial number m is solvedWherein m= {1,2,...Nt, i={1,2 ... U};
(6) standard deviation of the power module current-sharing relative deviation of serial number m is solved Wherein m={1,2 ... Nt, i={1,2 ... U};
(7) set up by NtThe N that × U element is constitutedtRow U row parallel operation system current-sharing standard deviation matrixMeet:
(8) solveSet up corresponding electronic load gear number k value with1-normWherein, i={1,2 ... U}, k ∈ [1, U];
(9) | | A | | is judged1≤σmaxWhether setting up, if set up, then proceeding to step (10);Otherwise, step (11) is proceeded to; Wherein, σmaxBoundary value corresponding to the defective situation of parallel operation system current-sharing performance set in advance;
(10) mark parallel operation system current-sharing performance qualified, proceed to step (12);
(11) mark parallel operation system current-sharing performance defective, proceed to step (12);
(12) parallel operation system current-sharing performance evaluation terminates.
Embodiment is not construed as to the restriction invented, but any spiritual improvements introduced based on the present invention, all Ying Ben Within the protection domain of invention.

Claims (2)

1. the parallel operation system current-sharing method of evaluating performance based on current-sharing standard deviation matrix 1 norm, it is characterised in that: its Step is as follows:
(1) it is that program-control electronic load electric current is adjusted interval time by adjacent two grades of load currents with cycle T, by i-th grade of journey Control electronic load current value is labeled asCorresponding i-th grade of power module current-sharing desired value is labeled asCurrent electronic load gear number is i;
(2) parallel operation system power supply module output current is acquired with cycle T s for interval;
(3) set up by NtThe parallel operation system power supply module output current value array { Data (m) (i) that × U × V element is constituted (j) }, wherein m={1,2 ... Nt, i={1,2 ... U}, j={1,2 ... V};NtFor parallel operation system power supply number of modules Amount, which is the positive integer more than 1;U is the gear number of program-control electronic load operating current, which is the positive integer more than 1;
(4) the power module current-sharing relative deviation of serial number m is obtainedWherein m= {1,2,...Nt, i={1,2 ... U}, j={1,2 ... V};
(5) mathematic expectaion of the power module current-sharing relative deviation of serial number m is obtainedWherein m={1, 2,...Nt, i={1,2 ... U};
(6) standard deviation of the power module current-sharing relative deviation of serial number m is obtainedIts Middle m={1,2 ... Nt, i={1,2 ... U};
(7) set up by NtThe N that × U element is constitutedtRow U row parallel operation system current-sharing standard deviation matrix Meet:
(8) solveSet up corresponding electronic load gear number k value with1-normWherein, i={1,2 ... U}, k ∈ [1, U];
(9) | | A | | is judged1≤σmaxWhether setting up, if set up, then marking parallel operation system current-sharing performance qualified;It is false, Then mark parallel operation system current-sharing performance defective;Wherein, σmaxDo not conform to for parallel operation system current-sharing performance set in advance Boundary value corresponding to lattice situation.
2. the parallel operation system current-sharing performance evaluation side based on current-sharing standard deviation matrix 1 norm according to claim 1 Method, it is characterised in that: described step (2) detailed step is as follows, by the power module of m-th sequence number at i-th grade of electronic load electricity In the case of stream, j-th current data of sampling is labeled as Data (m) (i) (j);By the power module of m-th sequence number at i-th grade of electricity J-th current data of sub-load current condition down-sampling and power module current-sharing desired value IrefI () relative deviation is labeled as δ (m)(i)(j);By current data in the case of i-th grade of electronic load current for the power module of m-th sequence number and power module The mathematic expectaion of current-sharing desired value relative deviation is labeled as Emi;By the power module of m-th sequence number i-th grade of electronic load current In the case of the label standard deviation of current-sharing relative deviation be σmi
CN201610526321.4A 2016-06-30 2016-06-30 Parallel operation system current sharing energy evaluation method Expired - Fee Related CN106160012B (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100213767A1 (en) * 2009-02-20 2010-08-26 The Aerospace Corporation Converter channelized uniform power distribution system
CN102355040A (en) * 2011-10-19 2012-02-15 北京四方继保自动化股份有限公司 Converter modular design and control method matched with battery grouping application
CN104242605A (en) * 2013-06-07 2014-12-24 台达电子工业股份有限公司 Current equalizing busbar
CN104880595A (en) * 2015-04-21 2015-09-02 北京天诚同创电气有限公司 Current-sharing power transmission detection method and device for in-phase parallel power transmission system

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100213767A1 (en) * 2009-02-20 2010-08-26 The Aerospace Corporation Converter channelized uniform power distribution system
CN102355040A (en) * 2011-10-19 2012-02-15 北京四方继保自动化股份有限公司 Converter modular design and control method matched with battery grouping application
CN104242605A (en) * 2013-06-07 2014-12-24 台达电子工业股份有限公司 Current equalizing busbar
CN104880595A (en) * 2015-04-21 2015-09-02 北京天诚同创电气有限公司 Current-sharing power transmission detection method and device for in-phase parallel power transmission system

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