CN105337276B - A kind of stability of power system calculation method - Google Patents
A kind of stability of power system calculation method Download PDFInfo
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- CN105337276B CN105337276B CN201510830161.8A CN201510830161A CN105337276B CN 105337276 B CN105337276 B CN 105337276B CN 201510830161 A CN201510830161 A CN 201510830161A CN 105337276 B CN105337276 B CN 105337276B
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Abstract
The present invention relates to aircraft electrical power system design fields can judge in time the stability of electric system more particularly to a kind of stability of power system calculation method according to calculated result.Calculation method includes the following steps: that electric system models on the machine by pretest, obtains corresponding featured circuit；According to featured circuit, non-linear expressions are listed；According to small-signal stability analysis method, carrys out linearizing non-linear expression formula around a scheduled steady state operation point, obtain spatiality matrix；The stability of scheduled steady state operation point is judged according to eigenvalue analysis method.Stability of power system calculation method of the invention efficient can carry out stability analysis for a certain fixed NETWORK STRUCTURE PRESERVING POWER SYSTEM, and be monitored in real time to the stability of electric system after change inductance, capacitance parameter, or change bearing power.
Description
Technical field
The present invention relates to aircraft electrical power system design fields, more particularly to a kind of stability of power system calculation method.
Background technique
With the development of aircraft industry, more electricity aircrafts are excellent with its low oil consumption, high efficiency, high reliability, low cost, environmental protection etc.
Point is increasingly becoming a kind of trend.In more electric aircrafts, electric system replaces traditional hydraulic system, pneumatic system and mechanical system
System, carrys out each non-propulsion system in driving machine.But the substantial increase used with electric system, electric system have to as not
The static state of same type, dynamic load power supply, this all brings great challenge to power generation, electrical power conversion, power transmission.Numerous
In load, when constant power load (Constant Power Loads) occurs, it can show negative growth characteristic
(Negative Impedance Characteristics), this will affect the stability of electric system.Therefore, it is highly desirable
The calculation method for stability for designing a kind of electric system facilitates the stability status of the timely electric power monitoring system of designer.
Summary of the invention
The object of the present invention is to provide a kind of stability of power system calculation methods, can be sentenced in time according to calculated result
Power off the stability of Force system.
A kind of stability of power system calculation method, includes the following steps:
Step 1: electric system on the machine of pretest is modeled, corresponding featured circuit is obtained；
Step 2: listing non-linear expressions according to the featured circuit；
Step 3: being linearized around a scheduled steady state operation point described according to small-signal stability analysis method
Non-linear expressions obtain spatiality matrix；
Step 4: judging the stability of the scheduled steady state operation point according to the eigenvalue analysis method.
Preferably, electric system includes electric system and three voltages on the machine of a constant power load on the machine
Source.
Preferably, in the step 2, the non-linear expressions are as follows:
Wherein, Ca~Cd indicates that capacitor, R1~R6 indicate that resistance, U1, U4, U7 indicate that voltage source voltage, i23 indicate
BUS2 flows to the electric current of BUS3, and i53 indicates that BUS5 flows to the electric current of BUS3, and i36 indicates that BUS3 flows to the electric current of BUS6, uca,
Ucb, ucc, ucd respectively indicate the voltage at the both ends Ca, Cb, Cc, Cd, and L2, L3, L5 respectively indicate inductance, P0Indicate the function of CPL
Rate.
Preferably, in the step 3, linearized by following formula (8)~(14):
Preferably, in the step 3, the obtained spatiality matrix are as follows:
The present invention has the advantages that
In stability of power system calculation method of the invention, by modeling method by electric system on the machine of pretest
It is converted into featured circuit, and lists non-linear expressions, then spatiality matrix is obtained by small-signal stability analysis method,
Stability of power system is finally judged according to eigenvalue analysis method；The present invention efficient can be directed to a certain fixed electric power
System structure carries out stability analysis, and to change inductance, capacitance parameter, or changes the stabilization of electric system after bearing power
Property is monitored in real time.
Detailed description of the invention
Fig. 1 is the featured circuit schematic diagram of one preferred embodiment of stability of power system calculation method of the present invention.
Specific embodiment
To keep the purposes, technical schemes and advantages of the invention implemented clearer, below in conjunction in the embodiment of the present invention
Attached drawing, technical solution in the embodiment of the present invention is further described in more detail.In the accompanying drawings, identical from beginning to end or class
As label indicate same or similar element or element with the same or similar functions.Described embodiment is the present invention
A part of the embodiment, instead of all the embodiments.The embodiments described below with reference to the accompanying drawings are exemplary, it is intended to use
It is of the invention in explaining, and be not considered as limiting the invention.Based on the embodiments of the present invention, ordinary skill people
Member's every other embodiment obtained without creative efforts, shall fall within the protection scope of the present invention.Under
Face is described in detail the embodiment of the present invention in conjunction with attached drawing.
In the description of the present invention, it is to be understood that, term " center ", " longitudinal direction ", " transverse direction ", "front", "rear",
The orientation or positional relationship of the instructions such as "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outside" is based on attached drawing institute
The orientation or positional relationship shown, is merely for convenience of description of the present invention and simplification of the description, rather than the dress of indication or suggestion meaning
It sets or element must have a particular orientation, be constructed and operated in a specific orientation, therefore should not be understood as protecting the present invention
The limitation of range.
1 pair of stability of power system calculation method of the present invention is described in further details with reference to the accompanying drawing.
The present invention provides a kind of stability of power system calculation methods, include the following steps:
Step 1: electric system on the machine of pretest is modeled, for example including voltage source or current source, bus,
Cable resistance, inductance, capacitor etc., to obtain corresponding featured circuit.
Step 2: listing non-linear expressions according to featured circuit.It is negative with nonlinear firm power in electric system
It carries, i.e., certain relational expressions are nonlinear, therefore directly cannot carry out determination of stability using linear method；It is in the present invention
According to Ohm's law, Kirchhoff's law etc., the non-linear expressions of featured circuit are listed.
Step 3: (can according to need according to small-signal stability analysis method around a scheduled steady state operation point
Carry out suitable selection) carry out linearizing non-linear expression formula, and then each expression formula is organized into spatiality matrix.Wherein, small
Signal stabilization reflects the ability that the electric system disturbance small by one returns to original stable state later.
Step 4: being judged scheduled steady state operation point by the stabilization after small disturbance according to eigenvalue analysis method
Property.
In stability of power system calculation method of the invention, by modeling method by electric system on the machine of pretest
It is converted into featured circuit, and lists non-linear expressions, then spatiality matrix is obtained by small-signal stability analysis method,
Stability of power system is finally judged according to eigenvalue analysis method；The present invention efficient can be directed to a certain fixed electric power
System structure carries out stability analysis, and to change inductance, capacitance parameter, or changes the stabilization of electric system after bearing power
Property is monitored in real time.
In stability of power system calculation method of the invention in a preferred embodiment, electric system includes one on machine
Electric system and three 270V voltage sources on the machine of a constant power load, the featured circuit obtained after being modeled is as schemed
Shown in 1.
Further, its non-linear expressions of featured circuit are as follows:
Wherein, Ca, Cb, Cc, Cd indicate capacitor；R1, R2, R3, R4, R5, R6 indicate resistance；U1, U4, U7 indicate voltage
Source voltage；I12 indicates that BUS1 flows to the electric current of BUS2；I23 indicates that BUS2 flows to the electric current of BUS3；I45 indicates that BUS4 is flowed to
The electric current of BUS5；I53 indicates that BUS5 flows to the electric current of BUS3；I36 indicates that BUS3 flows to the electric current of BUS6；I67 indicates BUS6 stream
To the electric current of BUS7；Uca, ucb, ucc, ucd respectively indicate the voltage at the both ends Ca, Cb, Cc, Cd；L2, L3, L5 respectively indicate electricity
Sense；P0Indicate the power of CPL；ICa, iCb, iCc, iCd respectively indicate the electric current for flowing through Ca, Cb, Cc, Cd；i0Expression flows through CPL
Electric current.
In addition, in step 3 being linearized by following formula (8)-(14):
Also, in step 3, obtained spatiality matrix are as follows:
Finally, the characteristic root of characteristic equation is sought, if its all characteristic root is all in the left demifacet of complex number plane, electric system
In stable state；It is on the contrary then unstable.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any
In the technical scope disclosed by the present invention, any changes or substitutions that can be easily thought of by those familiar with the art, all answers
It is included within the scope of the present invention.Therefore, protection scope of the present invention should be with the scope of protection of the claims
It is quasi-.
Claims (4)
1. a kind of stability of power system calculation method, characterized by the following steps:
Step 1: electric system on the machine of pretest is modeled, corresponding featured circuit is obtained；
Step 2: listing non-linear expressions according to the featured circuit；
Step 3: according to small-signal stability analysis method, it is described non-thread to linearize around a scheduled steady state operation point
Property expression formula, obtains spatiality matrix；
Step 4: judging the stability of the scheduled steady state operation point according to the eigenvalue analysis method；
In the step 2, the non-linear expressions are as follows:
Wherein, Ca~Cd indicates that capacitor, R1~R6 indicate that resistance, U1, U4, U7 indicate that voltage source voltage, i23 indicate BUS2 stream
To the electric current of BUS3, i53 indicates that BUS5 flows to the electric current of BUS3, and i36 indicates that BUS3 flows to the electric current of BUS6, uca, ucb, ucc,
Ucd respectively indicates the voltage at the both ends Ca, Cb, Cc, Cd, and L2, L3, L5 respectively indicate inductance, P0Indicate the power of CPL.
2. stability of power system calculation method according to claim 1, which is characterized in that electric system packet on the machine
Include electric system and three voltage sources on the machine of a constant power load.
3. stability of power system calculation method according to claim 2, which is characterized in that in the step 3, be
It is linearized by following formula (8)-(14):
4. stability of power system calculation method according to claim 3, which is characterized in that in the step 3, obtain
The spatiality matrix arrived are as follows:
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| CN103474992A (en) * | 2013-10-08 | 2013-12-25 | 东南大学 | Real-time on-line identification criterion of electric system node voltage steady state |
| CN103875146A (en) * | 2011-09-14 | 2014-06-18 | 伊斯帕诺-絮扎公司 | Method and device for multi-user signal detection |
| CN103904665A (en) * | 2014-04-15 | 2014-07-02 | 华北电力大学 | Power system stabilizer design method suitable for double-fed draught fan |
| CN104701851A (en) * | 2015-03-06 | 2015-06-10 | 东南大学 | Partitioned load switching cooperative method for maintaining voltage stabilization of electric system |
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2015
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Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN102035211A (en) * | 2010-10-26 | 2011-04-27 | 国家电网公司 | Method, device and system for inhibiting low-frequency oscillation of power system |
| CN103875146A (en) * | 2011-09-14 | 2014-06-18 | 伊斯帕诺-絮扎公司 | Method and device for multi-user signal detection |
| CN103472731A (en) * | 2013-09-24 | 2013-12-25 | 南方电网科学研究院有限责任公司 | Micro-grid small signal stability analyzing and parameter coordinated setting method |
| CN103474992A (en) * | 2013-10-08 | 2013-12-25 | 东南大学 | Real-time on-line identification criterion of electric system node voltage steady state |
| CN103904665A (en) * | 2014-04-15 | 2014-07-02 | 华北电力大学 | Power system stabilizer design method suitable for double-fed draught fan |
| CN104701851A (en) * | 2015-03-06 | 2015-06-10 | 东南大学 | Partitioned load switching cooperative method for maintaining voltage stabilization of electric system |
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