CN112003302A - Method for inhibiting voltage fluctuation of micro-grid bus - Google Patents
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- H—ELECTRICITY
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- 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
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Abstract
The invention discloses a method for inhibiting voltage fluctuation of a microgrid bus, which comprises the following steps: 1) establishing an alternating current dynamic equation of the micro-grid L-shaped grid-connected inverter; 2) expressing the load side voltage by using a state equation; 3) constructing a double disturbance compensation phase; 4) expanding the double disturbance compensation phase into a time domain expression formed by superposing a cosine current signal and a sine current signal; 5) constructing an anti-disturbance observer model; 6) obtaining a disturbance compensation error in the anti-disturbance observer model; 7) expressing the disturbance compensation error by using a dynamic equation; 8) constructing a Lyapunov stability criterion equation; 9) obtaining an observed value gain value of the anti-disturbance observer model; 10) and (3) applying the observed value gain value of the disturbance observer model obtained in the step 9) to the anti-disturbance observer in the step 5), and adding the output voltage of the disturbance observer as a reference signal into the microgrid voltage control ring to play a role in inhibiting the voltage fluctuation of the microgrid bus.
Description
Technical Field
The invention relates to a method for inhibiting voltage fluctuation of a micro-grid bus, in particular to a method for inhibiting the voltage fluctuation of the bus by introducing an improved disturbance-resistant observer into a control system, so that the transient stability and the power supply reliability of the micro-grid are improved, and the robustness of the control system is increased.
Background
With the increasing of the capacity of the power grid, the structure of the regional power grid is complicated, and in order to improve the support for the power generation of renewable energy sources and realize the large-scale application of the renewable energy sources, the micro-power grid needs to be vigorously developed. The microgrid runs in parallel with a Public power grid through a Public Connection Point (PCC), and the voltage is limited by the Public power grid. However, when the microgrid is in isolated grid operation, due to the output randomness of internal renewable power supply points and the low inertia characteristic of the microgrid system, the bus voltage is easily influenced by factors such as load power fluctuation. How to reasonably control an inverter of a distributed power supply, maintain the stability of the bus voltage of a microgrid, and avoid the bus voltage fluctuation caused by power fluctuation and uncertain system parameters becomes a recent research hotspot.
Disclosure of Invention
The invention aims to provide a method for inhibiting voltage fluctuation of a micro-grid bus, which is characterized in that an alternating current dynamic equation of an L-shaped grid-connected inverter at a power supply point in a micro-grid is established, aiming at poor anti-interference and dynamic performance of an inverter in the micro-grid, an improved disturbance-resistant observer is provided for inhibiting voltage fluctuation, a double-disturbance compensation phase is established according to the influence of power fluctuation caused by load change and output regulation on voltage dynamic response and voltage distribution deviation caused by uncertain system parameters, and the double-disturbance compensation phase is introduced into the disturbance-resistant observer to inhibit the problem of voltage regulation deviation caused by inaccurate power fluctuation and parameters.
The invention is realized by adopting the following technical scheme:
a method of suppressing microgrid bus voltage fluctuations, comprising the steps of:
1) establishing an alternating current dynamic equation of the micro-grid L-shaped grid-connected inverter;
2) expressing the load side voltage in the alternating current dynamic equation of the L-shaped grid-connected inverter of the microgrid in the step 1) by using a state equation;
3) constructing a double-disturbance compensation phase according to the state equation of the voltage at the load side in the step 2), wherein the double-disturbance compensation phase comprises the following steps: the influence of power fluctuation caused by load change and output regulation on the dynamic response of voltage and voltage distribution deviation caused by uncertain system parameters;
4) expanding the double-disturbance compensation phase in the step 3) into a time domain expression superposed by a cosine current signal and a sine current signal according to the load side current time domain expression;
5) taking the voltage distribution deviation as direct current quantity, and constructing an anti-disturbance observer model according to the double-disturbance compensation extended phase in the step 4);
6) constructing a disturbance compensation error in the anti-disturbance observer model obtained in the step 5);
7) expressing the disturbance compensation error in the step 6) by using a dynamic equation;
8) constructing a Lyapunov stability criterion equation based on the disturbance compensation error in the step 5);
9) analyzing the Lyapunov stability criterion equation in the step 8) to obtain an observed value gain value of the disturbance-resistant observer model in the step 5);
10) and (3) applying the observed value gain value of the disturbance observer model obtained in the step 9) to the anti-disturbance observer in the step 5), and adding the output voltage of the disturbance observer as a reference signal into the microgrid voltage control ring to play a role in inhibiting the voltage fluctuation of the microgrid bus.
The further improvement of the invention is that step 1) establishes an alternating current dynamic equation of the microgrid L-type grid-connected inverter:
wherein: u shapedcIs the DC side voltage of the inverter; rf、Lf、CfForming an RLC filter; r0Is the load line equivalent impedance; u shapeac、iacVoltage and current at the AC side of the inverter; e.g. of the type0、i0Load side voltage and current.
The further improvement of the invention is that the specific implementation method of the step 2) is as follows: expressing the load side voltage in the alternating current dynamic equation of the L-type grid-connected inverter of the microgrid in the step 1) by using a state equation:
the further improvement of the invention is that the specific implementation method of the step 3) is as follows: constructing a double-disturbance compensation phase according to the state equation of the voltage at the load side in the step 2):
wherein: d (t) represents the influence of power fluctuation on the voltage dynamic response caused by DG load change and output regulation, delta psi (t) represents the voltage distribution deviation caused by uncertain system parameters, d (t), and the expression of delta psi (t) is as follows:
the further improvement of the invention is that the specific implementation method of the step 4) is as follows: according to a load side current time domain expression: i.e. i0(t)=I0sinωt、
Wherein: i is0A load side current amplitude;
expanding the double-disturbance compensation phase in the step 3) into a time domain expression formed by superposing cosine current signals and sine current signals:
the further improvement of the invention is that the concrete implementation method of the step 5) is as follows: considering the voltage distribution deviation as a dc quantity, there are:according to the step 4), constructing an anti-disturbance observer model by using the double-disturbance compensation extended phases:
wherein: p andis an intermediate state variable matrix;compensating the observed values for the double perturbations; k (x) ═ k1 k2 k3]TTo observe the gain; q (x) is an observation function, and is related to an observation gain by: q (x) k (x) e0。
The further improvement of the invention is that the specific implementation method of the step 6) is as follows: constructing a disturbance compensation error in the anti-disturbance observer model obtained in the step 5) as follows:
the further improvement of the invention is that the specific implementation method of the step 7) is as follows: and 3) expressing the disturbance compensation error in the step 6) by using a dynamic equation as follows:
the further improvement of the invention is that the specific implementation method of the step 8) is as follows: constructing a Lyapunov stability criterion equation based on the disturbance compensation error in the step 5) as follows:
the further improvement of the invention is that the specific implementation method of the step 9) is as follows: analyzing step 8) a Lyapunov stability criterion equation, which can be known according to the Lyapunov stability criterion: when the voltage V is positive,at negative timing, the system can gradually stabilize to the equilibrium point, and then:further, the method can be obtained as follows:because (E)w1 2+Ew2 2+Ew3 2) If the ratio is more than or equal to 0, the following components are adopted:observed value gain k1、k2、k3The values are as follows: k is a radical of1=-e-5、k2=75、k3=58。
Compared with the prior art, the invention has at least the following beneficial technical effects:
1. the improved disturbance-resistant observer provided by the invention can effectively improve the disturbance resistance and dynamic performance of an inverter in a microgrid and inhibit voltage fluctuation caused by load switching. Simulation results show that: in the face of the power supply point cutting and bus voltage reduction working condition, the response voltage waveform obtained by the anti-disturbance observer control system is improved, the reference voltage can be quickly tracked and quickly adjusted, the response lag problem does not exist, and the adjustment deviation is effectively controlled.
2. The improved disturbance-resistant observer provided by the invention has double disturbance compensation phases which are respectively as follows: the compensation phase is influenced by the power fluctuation caused by load change and output regulation on the dynamic response of the voltage; and compensating the voltage distribution deviation caused by uncertain system parameters. Simulation and test results show that: in the face of voltage fluctuation working conditions, the micro-grid inverter control system can quickly respond and adjust, and overshoot is well controlled.
3. According to the Lyapunov stability criterion, the disturbance compensation error of the proposed disturbance-resistant observer is analyzed, and the gain k of the observed value is further researched1、k2、k3And (6) selecting a value. Simulation and test results show that: observer gain k1、k2、k3The method is accurate, the micro-grid inverter control system has quicker and more accurate voltage regulation capability, and the problem of periodic delay is well solved.
Drawings
FIG. 1 is a circuit topology of an L grid-connected inverter in a microgrid;
FIG. 2 is a control block diagram of an anti-disturbance observer;
FIG. 3 is a simulation model of a microgrid having two distributed power supply points;
FIG. 4 is a dynamic simulation waveform of bus voltage variation using conventional PI control;
FIG. 5 is a dynamic simulation waveform of bus voltage variation using control with an improved disturbance rejection observer;
FIG. 6 is a simulated waveform of bus voltage regulation error using conventional PI control;
FIG. 7 is a simulated waveform of bus voltage regulation error controlled by an observer with improved immunity;
FIG. 8 is a dynamic test waveform of single-phase voltage output by a half-load microgrid inverter with full-load sudden change under the control of a conventional PI;
FIG. 9 is a dynamic test waveform of single-phase voltage output by a micro grid inverter with full-load mutation controlled by an improved disturbance observer and half-load mutation.
Detailed Description
The technical solution of the present invention is further described in detail by the accompanying drawings.
As shown in FIG. 1, DGs in the micro-grid are mostly connected with a transmission line by adopting an L-type grid-connected inverter, and U isdcIs the DC side voltage of the inverter; rf、Lf、CfForming an RLC filter; r0Is the load line equivalent impedance; u shapeac、iacVoltage and current at the AC side of the inverter; e.g. of the type0、i0Load side voltage and current. The L-type grid-connected inverter ac dynamic equation can be expressed as:
as shown in FIG. 2, usingRepresenting a state vector, introducing a compensation disturbance term w (t), and constructing a microgrid DG inverter state equation as follows:
in order to effectively restrain the fluctuation of the bus voltage, the invention provides a double-disturbance compensation phase, which has the expression:
in formula (3): d (t) represents the effect of power fluctuations on the voltage dynamic response due to DG load changes and output regulation; Δ ψ (t) represents a voltage distribution deviation caused by uncertainty of system parameters, and the expression is:
the invention combines the disturbance term d (t) and the load side current i0In connection with this, because the inverter output voltage response lags behind the current change, the conventional PI control cannot suppress the bus voltage transient fluctuation due to the current change. In actual control of the microgrid inverter, system parameters are uncertain and other adverse factors exist, and voltage response characteristics are also reduced by the error terms, so that distribution deviation compensation delta psi (t) is introduced into the compensation disturbance term.
Load side current i0(t)=I0sinωt、Wherein: i is0Load side current magnitude. The disturbance phase d (t) can be regarded as being formed by the superposition of cosine current signals and sine current signals, and then the double disturbance compensation phase can be expanded as follows:
in order to simplify the modeling structure of the disturbance rejection observer, the voltage distribution deviation Δ ψ (t) is regarded as a direct current quantity by the present invention, and there are:based on the disturbance observer model, the method comprises the following steps:
in formula (7): p andis an intermediate state variable matrix;compensating the observed values for the double perturbations; k (x) ═ k1 k2 k3]TTo observe the gain; q (x) is an observation function, and is related to an observation gain by: q (x) k (x) e0. Defining the double disturbance compensation error as:
the disturbance compensation error dynamic equation can be expressed as:
defining a disturbance compensation error Lyapunov equation as follows:
according to the Lyapunov stability criterion, the following can be known: when the voltage V is positive,at negative timing, the system is asymptotically stable to the equilibrium point. Then there are:
will EwAnd equation (6) taken into the above equation, can give:
because (E)w1 2+Ew2 2+Ew3 2) If the ratio is more than or equal to 0, the following components are adopted:the following can be obtained:
observed value gain k1、k2、k3The value selection needs to consider: the observer has effects of convergence speed and saturation effects, which require as large a value as possible within a certain range. The output voltage of the disturbance observer provided by the invention is used as a reference signal and added into a voltage control loop, so that the voltage stabilization and regulation performance of the micro-grid is improved.
As shown in FIG. 3, a microgrid simulation model containing two DGs is built under Mantlab/Simulink, and the DGs1And DG2AC side voltage UacThe transformer is connected with a bifilar winding split transformer with the capacity of 1000kVA, and is connected into a power grid after being boosted to 10 kV. The RLC filtering parameters of the two transmission lines are the same, namely: l isf1=Lf2=4.7mH、Rf1=Rf2=5Ω、Cf1=Cf2490 μ F; line impedance R01=0.6+j0.15Ω、R020.3+ j0.15 Ω. Anti-disturbance observer observation gain k1=-e-5、k2=75、k3=58。
In order to verify that the improved anti-disturbance observer provided by the invention can effectively inhibit voltage fluctuation and voltage regulation deviation, the simulation time is set to be 1.2s, the initial value of bus voltage reference is 10kV, and the DG is set at 0.4s1Due to removal of an accident, DG2After the single operation for 0.4s, the voltage of the bus has 0.2kV voltage fluctuation.
As shown in FIG. 4, DG occurs at time 0.4s1After the accident is removed, the bus voltage obtained by the traditional PI control is delayed for 0.06s and then is reduced to 9.4kV, the response hysteresis phenomenon exists, the bus voltage cannot be stabilized at the reference voltage, and the regulation deviation exists. At the time of 0.8sIn the face of 0.2kV voltage fluctuation, the traditional PI control cannot track the reference voltage quickly, and has overshoot of 20-80V, the fluctuation is serious, and the whole control system has the problem of periodic delay.
As shown in fig. 5, at 0.4s, when the bus voltage drops, the conventional PI control has a large adjustment error, which reaches 82V at the maximum, and is very likely to cause some electrical equipment protection actions; at the time of 0.8s, when the voltage of 0.2kV fluctuates, the maximum adjusting error reaches 78V and the voltage oscillation phenomenon exists, and the steady-state performance of the whole control system cannot meet the actual grid-connection requirement.
As shown in fig. 6, at 0.4s, when the bus voltage drops, the conventional PI control has a large adjustment error, which reaches 82V at the maximum, and is very likely to cause some electrical equipment protection actions; at the time of 0.8s, when the voltage of 0.2kV fluctuates, the maximum adjusting error reaches 78V and the voltage oscillation phenomenon exists, and the steady-state performance of the whole control system cannot meet the actual grid-connection requirement.
As shown in FIG. 7, by adopting the improved control method of the disturbance observer, the adjustment error can be effectively reduced, the control system has stronger robustness in the face of the voltage drop working condition caused by the power supply point cutting or the system oscillation problem caused by the voltage fluctuation, the voltage error can be controlled within the range of-5V-10V, and the power supply reliability of the micro-grid is improved.
As shown in fig. 8, in order to verify the dynamic control performance of the control scheme provided by the present invention, an experimental platform including two grid-connected inverters is built, and the experimental platform hardware is as follows: TMS320F28335 from TI was selected by DSP, K40T120 from Infineon was selected by IGBT, and MDO4104B-3 type oscilloscope from Tektronix was selected by oscilloscope. The experimental parameters are similar to the simulation parameters. When the system is operated from full-load sudden change to half-load operation, the adjusting time of the single-phase voltage based on the traditional PI control strategy is 26.5ms, and the ripple waves at the peak value are obvious.
As shown in fig. 9, when the system runs from full-load mutation to half-load, the control and adjustment time of the improved disturbance-resistant observer provided by the invention is 20ms, the dynamic adjustment time is shorter, the system robustness is high, and the problem of periodic delay is solved. The voltage waveform sine stability of the control algorithm provided by the invention is good, the ripple waves at the peak value are effectively reduced, and the anti-disturbance capability of the system is strong.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and all simple modifications, changes and equivalent structural changes made to the above embodiment according to the technical spirit of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims (10)
1. A method of suppressing fluctuations in a microgrid bus voltage, comprising the steps of:
1) establishing an alternating current dynamic equation of the micro-grid L-shaped grid-connected inverter;
2) expressing the load side voltage in the alternating current dynamic equation of the L-shaped grid-connected inverter of the microgrid in the step 1) by using a state equation;
3) constructing a double-disturbance compensation phase according to the state equation of the voltage at the load side in the step 2), wherein the double-disturbance compensation phase comprises the following steps: the influence of power fluctuation caused by load change and output regulation on the dynamic response of voltage and voltage distribution deviation caused by uncertain system parameters;
4) expanding the double-disturbance compensation phase in the step 3) into a time domain expression superposed by a cosine current signal and a sine current signal according to the load side current time domain expression;
5) taking the voltage distribution deviation as direct current quantity, and constructing an anti-disturbance observer model according to the double-disturbance compensation extended phase in the step 4);
6) constructing a disturbance compensation error in the anti-disturbance observer model obtained in the step 5);
7) expressing the disturbance compensation error in the step 6) by using a dynamic equation;
8) constructing a Lyapunov stability criterion equation based on the disturbance compensation error in the step 5);
9) analyzing the Lyapunov stability criterion equation in the step 8) to obtain an observed value gain value of the disturbance-resistant observer model in the step 5);
10) and (3) applying the observed value gain value of the disturbance observer model obtained in the step 9) to the anti-disturbance observer in the step 5), and adding the output voltage of the disturbance observer as a reference signal into the microgrid voltage control ring to play a role in inhibiting the voltage fluctuation of the microgrid bus.
2. The method for suppressing the voltage fluctuation of the microgrid bus is characterized in that the step 1) is used for establishing an alternating current dynamic equation of the microgrid L-type grid-connected inverter:
wherein: u shapedcIs the DC side voltage of the inverter; rf、Lf、CfForming an RLC filter; r0Is the load line equivalent impedance; u shapeac、iacVoltage and current at the AC side of the inverter; e.g. of the type0、i0Load side voltage and current.
3. The method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 2, characterized in that the specific implementation method of the step 2) is as follows: expressing the load side voltage in the alternating current dynamic equation of the L-type grid-connected inverter of the microgrid in the step 1) by using a state equation:
4. the method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 2, characterized in that the specific implementation method of the step 3) is as follows: constructing a double-disturbance compensation phase according to the state equation of the voltage at the load side in the step 2):
5. the method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 4, characterized in that the specific implementation method of the step 4) is as follows: according to a load side current time domain expression: i.e. i0(t)=I0sinωt、
Wherein: i is0A load side current amplitude;
expanding the double-disturbance compensation phase in the step 3) into a time domain expression formed by superposing cosine current signals and sine current signals:
6. the method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 5, characterized in that the specific implementation method of the step 5) is as follows: considering the voltage distribution deviation as a dc quantity, there are:according to the step 4), constructing an anti-disturbance observer model by using the double-disturbance compensation extended phases:
7. The method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 6, characterized in that the specific implementation method of the step 6) is as follows: constructing a disturbance compensation error in the anti-disturbance observer model obtained in the step 5) as follows:
9. the method for suppressing the voltage fluctuation of the microgrid bus bar according to claim 8, characterized in that the specific implementation method of the step 8) is as follows: constructing a Lyapunov stability criterion equation based on the disturbance compensation error in the step 5) as follows:
10. the restraining microgrid busbar of claim 9The line voltage fluctuation method is characterized in that the specific implementation method of the step 9) is as follows: analyzing step 8) a Lyapunov stability criterion equation, which can be known according to the Lyapunov stability criterion: when the voltage V is positive,at negative timing, the system can gradually stabilize to the equilibrium point, and then:further, the method can be obtained as follows:because of the fact thatThen there are:observed value gain k1、k2、k3The values are as follows: k is a radical of1=-e-5、k2=75、k3=58。
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