Embodiment
Below in conjunction with embodiment and accompanying drawing, the present invention is described in further detail, but embodiments of the present invention are not limited thereto.
As shown in Figure 1, the unbalanced fault short-circuit current detection method being alternating current-direct current combined hybrid system of the present invention, at the schematic flow sheet of an embodiment, comprises the following steps:
Step S1: each phase voltage of AC of monitoring alternating current-direct current combined hybrid system and the electrical operation parameter of DC side, asks for the angle of overlap μ of every two-phase of converter valve during alternating current-direct current combined hybrid system generation unbalanced fault
mnwith trigger offset angle θ
mn;
Further, the actual Trigger Angle α of converter valve during alternating current-direct current combined hybrid system generation unbalanced fault is calculated
mn(m, n are any two-phase in a phase of three-phase circuit, b phase, c phase).During concrete enforcement, alternating current-direct current combined hybrid system comprises two input links, one of them input link is straight-flow system (i.e. the DC side of alternating current-direct current combined hybrid system) input end, and another input link is AC system (i.e. the AC of alternating current-direct current combined hybrid system).
Referring to Fig. 2, be that a kind of of the alternating current-direct current combined hybrid system of the present embodiment can the structural representation of implementation.Wherein, the DC side of alternating current-direct current combined hybrid system comprise connect successively sample holding unit 201, lock unit 202, collect (Min) unit 203; The AC of alternating current-direct current combined hybrid system comprises the smoothing processing unit 204, electric current and voltage limiting command (Voltage Dependent Current Order Limit the is called for short VDCOL) unit 205 that connect successively; Further, smoothing processing unit 204 comprises a variable transitions process:
wherein, parameter s is an expression in complex field; Parameter T is time constant, can value be preferably 20ms (millisecond).The object of smoothing processing unit 204 is the DC current instruction smooth change enabling to calculate.DC current i
dmin unit 203 is arrived via sample holding unit 201, lock unit 202; AC signal u
d/ u
acmin unit 203 is arrived via after the process of smoothing processing unit 204 and VDCOL unit 205; The signal of Min unit 203 to two input ends integrates rear output combined hybrid system current signal i
ord.
During concrete enforcement, described step S1 can be realized by numerous embodiments.
Referring to Fig. 3, be the angle of overlap of every two-phase of converter valve and the schematic flow sheet of a kind of implementation at trigger offset angle when asking for alternating current-direct current combined hybrid system generation unbalanced fault in step S1.
Concrete, as shown in Figure 3, described step S1 comprises:
Step S11: adopt mode at equal intervals to carry out trigging control to each converter valve in described alternating current-direct current combined hybrid system;
Step S12: detect the commutation voltage of AC three-phase circuit, commutating reactance X
rand DC current average I
d, and calculate the commutation voltage U of any two-phase
mn(comprise a phase, b phase, c phase in three-phase circuit, m, n are any two-phase in three-phase circuit) and the phase differential with reference to phasor
In the present embodiment, introduce abc-α β coordinate transform, represent three-phase commutation voltage with rotating vector, the α component of commutation voltage can be obtained by following equation (1)
with β component
Choose phaselocked loop and export synchronizing voltage for reference phasor, under system is normally run, due to the regulating action of phaselocked loop, commutation voltage phase place is zero with reference phasor phase differential, then
when system generation unbalanced fault, commutation voltage U
mnwith the phase differential with reference to phasor
can be expressed as:
Wherein, U in above formula (2)
αand U
β2 components that three-phase commutation voltage is corresponding on α axle and β axle after coordinate transform (abc-α β),
with
be U after coordinate transform
αand U
βangle.
Step S13: according to described commutation voltage U
mnwith the phase differential with reference to phasor
when can try to achieve AC system generation unbalanced fault, actual Trigger Angle α during each converter valve conducting
mn:
In above formula (3), m is any phase in three-phase circuit, and n is any phase in three-phase circuit;
for the commutation voltage U of described any two-phase
mnwith the phase differential with reference to phasor; α
0for the trigger delay angle under converter valve normal condition.
Step S14: according to actual Trigger Angle α during described converter valve conducting
mn, described commutation voltage U
mn, described commutating reactance X
rand described DC current average I
d, calculate angle of overlap μ when obtaining every two-phase commutation
mn.
Wherein
for the commutation voltage of m, n two-phase and the phase differential of corresponding reference phasor;
Preferably, angle of overlap μ when specifically calculating every two-phase commutation by following equation
mn:
μ
mn=arccos(cosα
mn-2X
rI
d/u
mn)-α
mn(4)
In above formula (4), α
mnfor actual Trigger Angle during described converter valve conducting, m, n are any two-phase in three-phase circuit, u
mnfor the commutation voltage amplitude of m, n two-phase; X
rfor commutating reactance; I
dfor DC current mean value.
Step S15: according to the commutation voltage U of described any two-phase
mnwith the phase differential with reference to phasor
the trigger offset angle θ of converter valve when calculating corresponding every two-phase commutation
mn.
Described step S15 specifically can be:
The trigger offset angle θ of converter valve when calculating every two-phase commutation by following equation
mn:
In above formula (5), m is any phase in three-phase circuit, and n is any phase in three-phase circuit;
for the commutation voltage U of described any two-phase
mnwith the phase differential with reference to phasor; α
0for the trigger delay angle under converter valve normal condition.
In the present embodiment, obtain alternating current-direct current combined hybrid system generation unbalanced fault time every two-phase commutation time converter valve angle of overlap μ
mnwith trigger offset angle θ
mnafter, can utilize in its step below and represent relevant parameter.
Step S2: adopt symmetrical component method that the asymmetrical voltage phasor of described AC and current component are decomposed into three-phase symmetrical phasor.
For asymmetrical voltage phasor, in the three-phase circuit of the AC of alternating current-direct current combined hybrid system, for any one group of asymmetric three-phase phasor (voltage or electric current), the phasor of three kinds of three-phase symmetricals can be decomposed into.Therefore asymmetric phase voltage can be expressed as with the symmetrical components of voltage:
Wherein, u
athe a phase voltage of AC, u
bthe b phase voltage of AC, u
cit is the c phase voltage of AC;
it is a phase zero sequence voltage component;
it is a phase positive sequence voltage component;
it is a phase negative sequence voltage components; Parameter e=1 ∠ 120 °, e
2=1 ∠ 240 °.Wherein, a phase voltage of AC, b phase voltage and c phase voltage are also referred to as AC change of current busbar voltage.
For a phase, each symmetrical components of a phase can be expressed as with asymmetric each phase voltage:
During concrete enforcement, under asymmetric case, because AC zero sequence voltage does not affect DC voltage, zero sequence voltage component can not considered.
Step S3: set up switch function model, in conjunction with the angle of overlap of described every two-phase, trigger offset angle and three-phase symmetrical phasor, obtain the incidence relation between DC voltage and each phase voltage of AC, and the incidence relation between DC side electric current and ac-side current.
During concrete enforcement, described switch function model is the process adopting switch function to represent each parameter in alternating current-direct current combined hybrid system.Such as, rectifier bridge and inverter bridge are typical switching device, can introduce unipolarity two-valued function switch function and describe on off state on rectifier bridge and inverter bridge brachium pontis:
S in above formula (8)
rqfor switch function expression formula, r represents system rectification side or inverter side, and q represents three-phase a, b, c in three-phase circuit.
Utilize the ultimate principle of above switch function, switch function model can be set up for alternating current-direct current combined hybrid system, thus obtain the incidence relation between DC voltage and each phase voltage of AC, and, the incidence relation between DC side electric current and ac-side current.
Referring to Fig. 4, be provided by the invention realize a kind of of incidence relation between each phase voltage of DC voltage, electric current and AC, each phase current can the flow chart of steps of implementation.
Particularly, described step S3 comprises:
Step S31: set up switch function model, and simulate according to the Interruption performance of described switch function model to converter valve;
Step S32: utilize described switch function model to modulate each phase voltage of AC, the incidence relation obtained between DC voltage and each phase voltage of AC is:
u
d=u
as
ua+u
bs
ub+u
cs
uc(9)
Wherein, u
dfor DC voltage, u
afor AC a phase voltage, s
uafor the switch function of AC a phase voltage; u
bfor AC b phase voltage, s
ubfor the switch function of AC b phase voltage; u
cfor AC c phase voltage, s
ucfor the switch function of AC c phase voltage.
Step S33: utilize described switch function model to modulate DC side electric current, obtains the incidence relation between DC side electric current and each phase current of AC:
In above formula (10), i
a, i
band i
cbe respectively each phase current of AC; i
dfor DC side electric current; s
iafor the switch function of AC a phase current; s
ibfor the switch function of AC b phase current; s
icfor the switch function of AC c phase current.
Further, described step S3 also comprises:
Step S34: according to angle of overlap and the trigger offset angle of every two-phase of converter valve during described alternating current-direct current combined hybrid system generation unbalanced fault, obtain the fundametal component of the switch function of each phase voltage of the AC in switch function model respectively, revise component and commutation component, and the fundametal component of the switch function of each phase current of AC, correction component and commutation component;
Step S35: the fundametal component of the switch function of each phase voltage of described AC, correction component and commutation component are superposed, as the switch function of each phase voltage of AC; The fundametal component of each phase current of described AC, correction component and commutation component are superposed, as the switch function of each phase current of AC.
Particularly, the present embodiment considers converter valve turn-on instant deviation angle and the uneven impact on switch function of angle of overlap simultaneously, each switch function can be regarded as fundametal component, revise the superposition of component and commutation component, wherein:
For voltage switch function, its voltage fundametal component s
unwith voltage correction component s
urbe preferably the square wave that amplitude is 1, width is respectively 2 π/3 and θ; Voltage commutation component s
u μbe preferably the square wave that amplitude is 0.5, width is angle of overlap μ;
For current switch function, its electric current fundametal component s
inwith electric current correction component s
irbe preferably the square wave that amplitude is 1, width is respectively 2 π/3 and θ; Current commutation component s
i μbe preferably the class sawtooth wave that width is μ.
During concrete enforcement, the switch function of each phase voltage and each phase current can be expanded into Fourier series, can obtain:
The switch function of each phase current can be expanded into Fourier series, wherein, electric current fundametal component s
inwith electric current correction component s
irwith voltage fundametal component s
unwith voltage correction component s
ursimilar, current commutation component s
i μfor:
Wherein, parameter μ
mnand θ
mnthe angle of overlap of converter valve and trigger offset angle during every two-phase commutation during alternating current-direct current combined hybrid system generation unbalanced fault; α
mnfor actual Trigger Angle during converter valve conducting; u
mnfor the commutation voltage amplitude of m, n two-phase; X
rfor commutating reactance.
So, according to equation (11) ~ (14), the switch function of each phase voltage that the fundametal component that can find application, the superposition revising component and commutation component represent and the switch function of each phase current.
For a phase, utilize each component of a phase voltage, a phase voltage switch function s can be obtained
uafor:
s
ua=s
uan+s
uar+s
uaμ(15)
According to the waveform of equation (11) ~ (13) and each component of voltage, can obtain:
Wherein, s
uana phase voltage switch function s
uafundametal component, s
uara phase voltage switch function s
uacorrection component and s
ua μa phase voltage switch function s
uacommutation component.
Utilize each component of a phase current, a phase current switch function s can be obtained
iafor:
s
ia=s
ian+s
iar+s
iaμ(17)
According to the waveform of equation (11), equation (12), equation (14) and each current component, can obtain:
Wherein, s
iana phase current switch function s
iafundametal component, s
iara phase current switch function s
iacorrection component and s
ia μa phase current switch function s
iacommutation component.
In like manner, the voltage switch function s of b phase can be obtained
ubwith current switch function s
ibbe respectively:
s
ub=s
ubn+s
ubr+s
ubμ(19)
s
ib=s
ibn+s
ibr+s
ibμ(20)
Wherein, s
ubnb phase voltage switch function s
ubfundametal component, s
uarb phase voltage switch function s
ubcorrection component and s
ub μb phase voltage switch function s
ubcommutation component; s
ibnb phase current switch function s
ibfundametal component, s
ibrb phase current switch function s
ibcorrection component and s
ib μb phase current switch function s
ibcommutation component.
In like manner, the voltage switch function s of c phase can be obtained
ucwith current switch function s
icbe respectively:
s
uc=s
ucn+s
ucr+s
ucμ(21)
s
ic=s
icn+s
icr+s
icμ(22)
Wherein, s
ucnc phase voltage switch function s
ucfundametal component, s
ucrc phase voltage switch function s
uccorrection component and s
uc μc phase voltage switch function s
uccommutation component; s
icnc phase current switch function s
icfundametal component, s
icrc phase current switch function s
iccorrection component and s
ic μc phase current switch function s
iccommutation component.
So, in the present embodiment, more than acquisition after each switch function, by in conjunction with above equation (6), equation (9) and equation (10), incidence relation between the DC voltage that can be represented by each component of voltage and each phase voltage of AC, incidence relation between the DC side electric current represented by each current component and each phase current of AC, and, the funtcional relationship between each phase current of AC and each phase voltage of AC.
Step S4: depending on current limit instruction (the Voltage Dependent Current OrderLimit of voltage, be called for short VDCOL) control under, utilize the incidence relation between described DC voltage and each phase voltage of AC and the incidence relation between described DC side electric current and each phase current of AC, obtain the funtcional relationship between each phase current of AC and each phase voltage of AC.
In order to prevent continuous commutation failure, current-order (VDCOL) limiting unit depending on voltage is introduced in engineering practice, to be controlled DC current instruction during low-voltage, reduction straight-flow system to the reactive requirement of AC system, improves the recovery characteristics of DC transmission system during fault recovery.
During concrete enforcement, described step S4 realizes in the following manner, comprising:
Step S41: when described alternating current-direct current combined hybrid system generation unbalanced fault, described alternating current-direct current combined hybrid system DC voltage u
ddrop to when to a certain degree (presetting a definite value) and the described current limit instruction (VDCOL) depending on voltage is activated;
Step S42: described depend on electric current and voltage restriction instruction (VDCOL) control under, by DC side current i
doutput is:
In above formula (23), u
dfor the DC voltage of described alternating current-direct current combined hybrid system, u
d maxfor the maximal value of DC voltage, u
d minfor the minimum value of DC voltage, i
d minfor the maximal value of DC side electric current, i
d maxfor the minimum value of DC side electric current.
Referring to Fig. 5, which show DC voltage corresponding to VDCOL link and DC current (u
d-i
d) family curve.
In some unbalanced fault situation of generation, when direct current or alternating voltage occur declining and lower than setting value after, VDCOL link in DC control system will be activated, this link is according to certain DC voltage and DC current corresponding relation, follow DC voltage change trend adjustment DC current setting valve, and then change direct current transportation power, now straight-flow system operates in CC (Constant Current, the constant current) control model under VDCOL effect; Until AC and DC voltage resume to after to a certain degree, VDCOL link exits, straight-flow system returns to again conventional CP (Constant Power, constant power) or CC control model, namely DC current control objectives becomes power controller output valve or DC current controller input setting valve.
Step S43: according to described DC voltage u
dphase voltage (u each with AC
a, u
band u
c) between incidence relation, i.e. equation (9), and, described DC side current i
dphase current (i each with AC
a, i
band i
c) between incidence relation, i.e. equation (10), calculates the funtcional relationship f (u obtained between each phase current of AC and each phase voltage of AC
a, u
b, u
c).
During concrete enforcement, sequence component analysis method can be adopted to the analysis of electric system unbalanced fault.First the order components model of transverter is set up, as the equation (6) in above and equation (7), and, under asymmetric case, due to AC zero sequence voltage
dC voltage is not affected, can zero sequence voltage component do not considered
then, equation (9) can be expressed as:
Wherein,
it is a phase positive sequence voltage component;
it is a phase negative sequence voltage components;
it is b phase positive sequence voltage component;
it is b phase negative sequence voltage components;
it is c phase positive sequence voltage component;
it is c phase negative sequence voltage components.
Order:
Equation (7) is substituted into equation (25), can funtcional relationship be obtained:
In like manner can in the hope of f
b(u
a, u
b, u
c, i
d), f
c(u
a, u
b, u
c, i
d).
Then according to equation (24), DC voltage i can be obtained
dwith exchange change of current busbar voltage (the i.e. each phase voltage u of AC
a, u
b, u
c) between funtcional relationship:
u
d=f
a(u
a,u
b,u
c,i
d)+f
b(u
a,u
b,u
c,i
d)+f
c(u
a,u
b,u
c,i
d) (29)
According to equation (10), equation (17), equation (20) and equation (22), the funtcional relationship that can obtain between ac-side current and DC side electric current is:
Association type (23), (29) and (30), then can solve the funtcional relationship between each cross streams electric current and each cross streams (asymmetric) voltage:
Step S5: each phase voltage of what meaning AC of Real-Time Monitoring, according to the funtcional relationship between each phase current of described AC and each phase voltage of AC, i.e. equation (31), when detecting described alternating current-direct current combined hybrid system generation unbalanced fault, the measured value of each phase voltage (i.e. change of current busbar voltage) of AC is substituted into equation (31), the short-circuit current that DC side injects AC can be obtained.
The unbalanced fault short-circuit current detection method of the alternating current-direct current combined hybrid system that the embodiment of the present invention provides, the each phase voltage of AC of monitoring alternating current-direct current combined hybrid system and the electrical operation parameter of DC side, strictly based on the system change of current and control characteristic, according to the incidence relation between DC voltage and each phase voltage of AC and the incidence relation between DC side electric current and each phase current of AC, acquisition can reflect the funtcional relationship between each phase current of the AC of ac and dc systems interaction mechanism and each phase voltage of AC intuitively, solve the straight-flow system when there is unbalanced fault and inject the computational problem of the electric current of AC system, fill up the blank of the computing method injecting the short-circuit current size of AC system under system unbalanced fault from straight-flow system, overcome the shortcoming that the variable of existing description AC system and straight-flow system mutual relationship is various.The interactional technical method of ac and dc systems is studied for Electric Power Network Planning and operation provide one.The unbalanced fault short-circuit current detection method of the alternating current-direct current combined hybrid system that the embodiment of the present invention provides is research AC system and the interactional core methed of straight-flow system, can be applicable to alternating current-direct current Electric Power Network Planning and run control.
The above embodiment only have expressed several embodiment of the present invention, and it describes comparatively concrete and detailed, but therefore can not be interpreted as the restriction to the scope of the claims of the present invention.It should be pointed out that for the person of ordinary skill of the art, without departing from the inventive concept of the premise, can also make some distortion and improvement, these all belong to protection scope of the present invention.Therefore, the protection domain of patent of the present invention should be as the criterion with claims.