CN113067375A - Generalized comprehensive load modeling method and simulation system for alternating current-direct current hybrid power distribution network - Google Patents
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Abstract
A generalized comprehensive load modeling method and a simulation system for an alternating current-direct current hybrid power distribution network relate to the technical field of power system analysis and control under the background of energy Internet, and an equivalent induction motor is connected with a static load in parallel to form an alternating current load model; connecting a static load and a generalized load in parallel by using an equivalent direct current motor to form a direct current load model; connecting the alternating current load model to an alternating current bus, and connecting the direct current load model to the alternating current bus through an interface model; and connecting the alternating-current bus to a high-voltage bus of the transformer substation by adopting an ideal transformer and equivalent impedance, thereby obtaining the generalized comprehensive load model structure of the alternating-current and direct-current hybrid power distribution network. The invention aims at the problem that the comprehensive load of the future alternating current-direct current hybrid power distribution network participates in the power grid simulation, so that the accuracy of the simulation calculation result of the power system under the energy internet background is improved, and a high-reliability decision basis is provided for analyzing the operation and control of the power system under the energy internet background.
Description
Technical Field
The invention relates to the technical field of power system analysis and control under the background of energy Internet, in particular to a generalized comprehensive load modeling method and a generalized comprehensive load simulation system for an alternating current-direct current hybrid power distribution network.
Background
The digital simulation of the power system has important significance for planning design and scheduling decision of the power system, and is also a basic analysis tool for operation and control of the power system. The rationality and accuracy of the element models determine the reliability of the simulation result, wherein the comprehensive load model on the power distribution network side has critical influence on the simulation result, and the adoption of an improper load model may cause the simulation result to have a huge difference from the actual situation or even generate a contrary conclusion, so that the decision risk of the power department in the aspects of power grid planning construction, scheduling operation, power supply distribution point and the like is increased based on the simulation result under the condition.
The alternating current and direct current hybrid is a main form of a future power distribution network. In addition to traditional alternating current loads, generalized loads such as distributed wind and light power sources and distributed energy storage systems and the like, emerging direct current loads and traditional alternating current loads suitable for direct current power supply are widely connected into an alternating current and direct current hybrid power distribution network, the generalized loads and the direct current loads have power electronization characteristics, comprehensive load behavior characteristics of a power distribution network side can be remarkably changed, and dynamic behaviors of comprehensive loads of the alternating current and direct current hybrid power distribution network containing high-proportion generalized loads and direct current loads are difficult to describe by a traditional comprehensive load model based on the alternating current power distribution network.
Therefore, establishing the generalized comprehensive load model of the alternating-current and direct-current hybrid power distribution network becomes one of the fundamental problems which need to be solved urgently in the research of the operation and control of the power system under the background of the energy Internet.
Disclosure of Invention
One of the purposes of the invention is to provide a generalized comprehensive load modeling method for an AC/DC hybrid power distribution network aiming at the problem that the comprehensive load of the AC/DC hybrid power distribution network participates in power grid simulation in the future.
In order to solve the technical problems, the invention adopts the following technical scheme: a generalized comprehensive load modeling method for an alternating current-direct current hybrid power distribution network specifically comprises the steps of adopting equivalent induction motors to connect static loads in parallel to form an alternating current load model; connecting a static load and a generalized load in parallel by using an equivalent direct current motor to form a direct current load model; connecting the alternating current load model to an alternating current bus, and connecting the direct current load model to the alternating current bus through an interface model; and connecting the alternating-current bus to a high-voltage bus of the transformer substation by adopting an ideal transformer and equivalent impedance, thereby obtaining the generalized comprehensive load model structure of the alternating-current and direct-current hybrid power distribution network.
Further, the equivalent impedance and ideal transformer are represented as:
1) the transformation ratio k of the ideal transformer is taken as the steady-state voltage value of a high-voltage bus of the transformer substation;
2) the voltage of a high-voltage bus of the transformer substation is taken as a reference phasor, and the power and the voltage after passing through equivalent impedance satisfy the following formula (1) and formula (2):
wherein, PDAnd QDRespectively representing equivalent impedance Z through the distribution networkDThe later active power and reactive power; p and Q respectively represent active power and reactive power provided by a high-voltage bus of the transformer substation; u shapedRepresents passing through ZDRear voltage, UxdAnd UydRespectively represent UdCorresponding X-axis and Y-axis components;
3) the power and the voltage corresponding to the input end and the output end of the pi-type equivalent circuit of the ideal transformer satisfy the formulas (3) to (6):
wherein, PAAnd QARespectively representing active power and reactive power of a series branch flowing into the pi-type equivalent circuit; pBAnd QBRespectively representing the active power and the reactive power flowing out of a series branch in the pi-type equivalent circuit; u shapeacFor ac bus voltage, UxacAnd UyacAre respectively UacX-axis and Y-axis components of (a); pLoadAnd QLoadRespectively an active component and a reactive component of the total load; zt=Rt+jXtThe impedance is the approximate impedance of an ideal transformer, the value of the impedance is a tiny normal number, and the reference value range is as follows: r is more than 0t<10-10And 0 < Xt<10-10(ii) a Upper label*Representing the conjugate operation of complex numbers, Re () and Im () are the real and imaginary functions, respectively.
On the basis of the above-mentioned steps,
1) the total load, the alternating current load and the direct current load satisfy the formula (7):
wherein, PacAnd PdcRepresenting ac active power and dc active power, respectively, QacRepresenting alternating current reactive power;
2) among the ac loads, the dynamic load and the static load satisfy the formula (8):
wherein, PacsAnd PacmRepresenting static and dynamic active, Q, respectively, in an AC loadacsAnd QacmRespectively representing static reactive power and dynamic reactive power in the alternating current load;
3) the interface model is a simplified equivalent model of the bidirectional converter, and the direct current load is connected to the alternating current bus through the interface model;
4) in the direct current load, the dynamic load and the static load satisfy the formula (9):
Pdc=Pdcs+Pdcm (9);
wherein, PdcsAnd PdcmThe static load and the dynamic load in the dc load are respectively represented.
Preferably, the interface model is a simplified equivalent model of a bidirectional converter, as shown in formula (10):
Preferably, in the alternating-current load model, the induction motor model is an electromechanical transient model and is described by a third-order differential equation; in the direct current load model, the equivalent direct current motor model is an electromechanical transient model and is described as follows by adopting a second-order differential equation:
wherein idcmFor armature currents of DC motors, UdcIs a direct current bus voltage, namely a direct current bus voltage; rdcmAnd L is the equivalent resistance and inductance of the armature circuit respectively; k is a radical offIs powered electricallyA mechanical transient potential coefficient; j is the rotational inertia of the motor, and omega is the rotating speed; t isdcLThe total torque is loaded.
More preferably, the reactive component Q is the reactive component in the AC static loadacsWhen the voltage is more than zero, the alternating current static load adopts a ZIP model, and when Q is greater than zeroacsWhen the current is less than or equal to zero, the alternating current static load adopts a Z model, namely a constant impedance (Z) model with the constant current (I) and constant power (P) coefficients being zero in the ZIP model; reactive component Q in DC static loaddcsWhen the voltage is more than zero, the direct current static load adopts a ZIP model, and when Q is greater than zerodcsAnd when the direct current static load is less than or equal to zero, the direct current static load adopts a Z model, namely a constant impedance (Z) model with the constant current (I) and constant power (P) coefficients being zero in the ZIP model.
In addition, the invention also provides an alternating current-direct current hybrid power distribution network generalized comprehensive load simulation system, which adopts the modeling method to construct an alternating current-direct current hybrid power distribution network generalized comprehensive load model, wherein the alternating current-direct current hybrid power distribution network generalized comprehensive load model comprises an alternating current load model, a direct current load model and a transformer substation high-voltage bus, the alternating current load model comprises an equivalent induction motor and a static load which are connected in parallel, the direct current load model comprises an equivalent direct current motor, a static load and a generalized load which are connected in parallel, the alternating current load model is connected to the alternating current bus, the direct current load model is connected to the alternating current bus through an interface model, and the alternating current bus is connected to the transformer substation high-.
The principle of the invention is as follows: in an alternating current-direct current hybrid power distribution network, alternating current loads and direct current loads are respectively connected into an alternating current power supply line and a direct current power supply line, generalized loads such as a distributed power supply and an energy storage system are usually connected into the direct current power supply line, and the correlation between the alternating current loads and the direct current loads (including the generalized loads) is weak. Then, according to the characteristic of the comprehensive load of the AC/DC hybrid power distribution network, a classical comprehensive load model (equivalent induction motor parallel static load) can be adopted to simulate an AC power supply load, an equivalent DC motor parallel static load and a generalized load equivalent model can be adopted to simulate a DC power supply load, a DC load model is connected to an AC bus through an interface model to form a DC comprehensive load model, and finally, after the AC comprehensive load model and the DC comprehensive load model are connected in parallel, an ideal transformer (a pi-shaped circuit approaches, and the pi-shaped circuit forms a resonant triangle) and a power distribution network equivalent impedance are connected to a transformer high-voltage bus, so that the AC/DC hybrid power distribution network generalized comprehensive load model structure and the equivalent circuit thereof are obtained.
The invention has the beneficial effects that: compared with the existing comprehensive load model only based on the alternating current distribution network, the model structure is more suitable for describing the dynamic behavior of the comprehensive load of the alternating current-direct current hybrid distribution network containing high-proportion generalized loads and direct current loads, can meet the requirement of power system simulation calculation on a comprehensive load model on the distribution network side under the future energy Internet background, further improves the accuracy of simulation results, provides a credible decision basis for a power department to formulate a power grid scheduling planning scheme and a power grid safe operation mode, improves the economy and the safety of a power grid, and has good engineering application prospects.
Drawings
FIG. 1 is a schematic structural diagram of a generalized comprehensive load model of an AC/DC hybrid power distribution network in the embodiment of the invention;
fig. 2 is a schematic diagram of an equivalent circuit of a generalized comprehensive load model of an alternating-current and direct-current hybrid power distribution network in the embodiment of the invention.
Detailed Description
In order to facilitate understanding of those skilled in the art, the present invention will be further described with reference to the following examples and drawings, which are not intended to limit the present invention.
As shown in fig. 1, the generalized comprehensive load modeling method for the alternating current-direct current hybrid distribution network adopts an equivalent Induction Motor (IM) and a static load (ZIP) connected in parallel to form an alternating current load model; using an equivalent DC motor (M) A direct current load model is formed by parallel connection of a static load (ZIP) and a generalized load (DG); will exchange current negativelyThe load model is connected to the alternating current bus, and the direct current load model is connected to the alternating current bus through an interface model (JK); using an ideal transformer (Tr) and an equivalent impedance (Z)D) And connecting the alternating-current bus to a high-voltage bus of the transformer substation, thereby obtaining the generalized comprehensive load model structure of the alternating-current and direct-current hybrid power distribution network.
It should be noted that the equivalent impedance Z of the distribution network used by the high-voltage bus and the ac bus of the substationDEquivalent to an ideal transformer in series, the ideal transformer is approximated by a pi-type circuit (the pi-type circuit forms a resonant triangle) with an impedance of Zt(reference value range: 0 < R)t<10-10And 0 < Xt<10-10) (ii) a The alternating current load model is simulated by adopting a classical comprehensive load model (equivalent induction motor parallel ZIP), and the direct current load model is simulated by adopting a direct current comprehensive load model formed by an equivalent direct current motor parallel ZIP and a generalized load equivalent model parallel-serial interface model.
On the basis of the above, the equivalent impedance and the ideal transformer model are expressed as:
1) the transformation ratio k of the ideal transformer is taken as the steady-state voltage value of a high-voltage bus of the transformer substation;
2) the voltage of a high-voltage bus of the transformer substation is taken as a reference phasor, and the power and the voltage after passing through equivalent impedance satisfy the following formula (1) and formula (2):
wherein, PDAnd QDRespectively representing equivalent impedance Z through the distribution networkDThe later active power and reactive power; p and Q respectively represent active power and reactive power provided by a high-voltage bus of the transformer substation; u shapedRepresents passing through ZDRear voltage, UxdAnd UydRespectively represent UdCorresponding X-axis and Y-axis components;
3) the power and the voltage corresponding to the input end and the output end of the pi-type equivalent circuit of the ideal transformer satisfy the formulas (3) to (6):
wherein, PAAnd QARespectively representing active power and reactive power of a series branch flowing into the pi-type equivalent circuit; pBAnd QBRespectively representing the active power and the reactive power flowing out of a series branch in the pi-type equivalent circuit; u shapeacFor ac bus voltage, UxacAnd UyacAre respectively UacX-axis and Y-axis components of (a); pLoadAnd QLoadRespectively an active component and a reactive component of the total load; zt=Rt+jXtThe impedance is the approximate impedance of an ideal transformer, the value of the impedance is a tiny normal number, and the reference value range is as follows: r is more than 0t<10-10And 0 < Xt<10-10(ii) a Upper label*Representing the conjugate operation of complex numbers, Re () and Im () are the real and imaginary functions, respectively.
And, 1) the total load, the alternating current load, and the direct current load satisfy formula (7):
wherein, PacAnd PdcRespectively representing alternating current active power and direct current active power,Qacrepresenting alternating current reactive power;
2) among the ac loads, the dynamic load and the static load satisfy the formula (8):
wherein, PacsAnd PacmRepresenting static and dynamic active, Q, respectively, in an AC loadacsAnd QacmRespectively representing static reactive power and dynamic reactive power in the alternating current load;
3) the interface model is a simplified equivalent model of the bidirectional converter, and the direct current load is connected to the alternating current bus through the interface model;
4) in the direct current load, the dynamic load and the static load satisfy the formula (9):
Pdc=Pdcs+Pdcm (9);
wherein, PdcsAnd PdcmThe static load and the dynamic load in the dc load are respectively represented.
In the alternating-current load model, the induction motor model is an electromechanical transient model and is described by a three-order differential equation; in the direct-current load model, the equivalent direct-current motor model is an electromechanical transient model and is described by a second-order differential equation.
It should be noted that the reactive component Q in the ac static load isacsWhen the voltage is more than zero, the alternating current static load adopts a ZIP model, and when Q is greater than zeroacsWhen the current is less than or equal to zero, the alternating current static load adopts a Z model, namely a constant impedance (Z) model with the constant current (I) and constant power (P) coefficients being zero in the ZIP model; reactive component Q in DC static loaddcsWhen the voltage is more than zero, the direct current static load adopts a ZIP model, and when Q is greater than zerodcsAnd when the direct current static load is less than or equal to zero, the direct current static load adopts a Z model, namely a constant impedance (Z) model with the constant current (I) and constant power (P) coefficients being zero in the ZIP model.
In the model mechanism, an interface model Jk in the generalized comprehensive load model of the alternating-current and direct-current hybrid power distribution network is a simplified equivalent model of a bidirectional converter, a direct-current load is connected to an alternating-current bus through the interface model, and the corresponding model is expressed as follows:
The induction motor is an electromechanical transient model, is described by adopting a third-order differential equation, is a model widely accepted in the field of power system load modeling, and a corresponding mathematical equation is not described herein again.
The equivalent direct current motor is an electromechanical transient model and is described as follows by adopting a second-order differential equation:
wherein idcmFor armature currents of DC motors, UdcIs a direct current bus voltage, namely a direct current bus voltage; rdcmAnd L is the equivalent resistance and inductance of the armature circuit respectively; k is a radical offIs the motor transient potential coefficient; j is the rotational inertia of the motor, and omega is the rotating speed; t isdcLThe total torque is loaded.
During initialization, if the AC reactive load QacsIf the current value is larger than zero, the alternating current static load model adopts a ZIP model, and if Q is larger than zero, the alternating current static load model adopts a ZIP modelacsIf the value is less than zero, the alternating current static load model adopts a Z model (constant impedance model, namely the coefficients of I and P in the ZIP model are both zero); the ZIP model is expressed as:
wherein, aacp、bacp、cacp、aacq、bacq、cacqAre respectively ac activeThe power and alternating current reactive power constant impedance coefficient, constant current coefficient and constant power coefficient, and satisfy: a isacp+bacp+cacp1 and aacq+bacq+cacq=1。
The static dc load model employs a ZIP model or a Z model, and when the Z model is employed, the coefficients of I and P are taken to be 0, then the ZIP model can be expressed as:
wherein,U dcis a DC bus voltage, adcp、bdcp、cdcpThe impedance coefficient, constant current coefficient and constant power coefficient of the direct current power respectively, and satisfy: a isacp+bacp+cacp=1。
In addition, the embodiment also provides an alternating current-direct current hybrid power distribution network generalized comprehensive load simulation system, which constructs an alternating current-direct current hybrid power distribution network generalized comprehensive load model by using the modeling method, wherein the alternating current-direct current hybrid power distribution network generalized comprehensive load model comprises an alternating current load model, a direct current load model and a transformer substation high-voltage bus, the alternating current load model comprises an equivalent induction motor and a static load which are connected in parallel, the direct current load model comprises an equivalent direct current motor, a static load and a generalized load which are connected in parallel, the alternating current load model is connected to the alternating current bus, the direct current load model is connected to the alternating current bus through an interface model, and the alternating current bus is connected to the transformer substation high.
The generalized comprehensive load model structure and the simulation system of the alternating current-direct current hybrid power distribution network, provided by the invention, can meet the requirement of power system simulation calculation on a comprehensive load model on a power distribution network side under the background of an energy internet, are one of key element models of a future power system, and can effectively improve the accuracy of a simulation result. It should be further noted that, for those skilled in the art of modeling the load of the power system, several variations and modifications can be made to the generalized integrated load structure of the ac/dc hybrid power distribution network without departing from the concept of the present invention, and these variations and modifications are within the scope of the present invention.
Some of the drawings and descriptions of the present invention have been simplified to facilitate the understanding of the improvements over the prior art by those skilled in the art, and some other elements have been omitted from this document for the sake of clarity, and it should be appreciated by those skilled in the art that such omitted elements may also constitute the subject matter of the present invention.
Claims (7)
1. The generalized comprehensive load modeling method for the alternating current-direct current hybrid power distribution network is characterized by comprising the following steps of: connecting static loads in parallel by using an equivalent induction motor to form an alternating current load model; connecting a static load and a generalized load in parallel by using an equivalent direct current motor to form a direct current load model; connecting the alternating current load model to an alternating current bus, and connecting the direct current load model to the alternating current bus through an interface model; and connecting the alternating-current bus to a high-voltage bus of the transformer substation by adopting an ideal transformer and equivalent impedance, thereby obtaining the generalized comprehensive load model structure of the alternating-current and direct-current hybrid power distribution network.
2. The AC-DC hybrid power distribution network generalized comprehensive load modeling method according to claim 1, characterized in that: the equivalent impedance and ideal transformer are expressed as:
1) the transformation ratio k of the ideal transformer is taken as the steady-state voltage value of a high-voltage bus of the transformer substation;
2) the voltage of a high-voltage bus of the transformer substation is taken as a reference phasor, and the power and the voltage after passing through equivalent impedance satisfy the following formula (1) and formula (2):
wherein, PDAnd QDRespectively through a distribution network or the likeValue impedance ZDThe later active power and reactive power; p and Q respectively represent active power and reactive power provided by a high-voltage bus of the transformer substation; u shapedRepresents passing through ZDRear voltage, UxdAnd UydRespectively represent UdCorresponding X-axis and Y-axis components;
3) the power and the voltage corresponding to the input end and the output end of the pi-type equivalent circuit of the ideal transformer satisfy the formulas (3) to (6):
wherein, PAAnd QARespectively representing active power and reactive power of a series branch flowing into the pi-type equivalent circuit; pBAnd QBRespectively representing the active power and the reactive power flowing out of a series branch in the pi-type equivalent circuit; u shapeacFor ac bus voltage, UxacAnd UyacAre respectively UacX-axis and Y-axis components of (a); pLoadAnd QLoadRespectively an active component and a reactive component of the total load; zt=Rt+jXtThe impedance is the approximate impedance of an ideal transformer, the value of the impedance is a tiny normal number, and the reference value range is as follows: r is more than 0t<10-10And 0 < Xt<10-10(ii) a Upper label*Representing the conjugate operation of complex numbers, Re () and Im () are the real and imaginary functions, respectively.
3. The AC-DC hybrid power distribution network generalized comprehensive load modeling method according to claim 1, characterized in that:
1) the total load, the alternating current load and the direct current load satisfy the formula (7):
wherein, PacAnd PdcRepresenting ac active power and dc active power, respectively, QacRepresenting alternating current reactive power;
2) among the ac loads, the dynamic load and the static load satisfy the formula (8):
wherein, PacsAnd PacmRepresenting static and dynamic active, Q, respectively, in an AC loadacsAnd QacmRespectively representing static reactive power and dynamic reactive power in the alternating current load;
3) the interface model is a simplified equivalent model of the bidirectional converter, and the direct current load is connected to the alternating current bus through the interface model;
4) in the direct current load, the dynamic load and the static load satisfy the formula (9):
Pdc=Pdcs+Pdcm (9);
wherein, PdcsAnd PdcmThe static load and the dynamic load in the dc load are respectively represented.
4. The AC-DC hybrid power distribution network generalized comprehensive load modeling method according to claim 1, characterized in that: the interface model is a simplified equivalent model of the bidirectional converter, and is represented by the following formula (10):
5. The AC/DC hybrid power distribution network generalized comprehensive load modeling method according to any one of claims 1-4, characterized in that: in the alternating-current load model, an induction motor model is an electromechanical transient model and is described by a three-order differential equation; in the direct current load model, the equivalent direct current motor model is an electromechanical transient model, and is described by a second-order differential equation, and the method comprises the following steps:
wherein idcmFor armature currents of DC motors, UdcIs a direct current bus voltage, namely a direct current bus voltage; rdcmAnd L is the equivalent resistance and inductance of the armature circuit respectively; k is a radical offIs the motor transient potential coefficient; j is the rotational inertia of the motor, and omega is the rotating speed; t isdcLThe total torque is loaded.
6. The AC-DC hybrid power distribution network generalized comprehensive load modeling method according to claim 3, characterized in that:
when the reactive component Q is in the AC static loadacsWhen the voltage is more than zero, the alternating current static load adopts a ZIP model, and when Q is greater than zeroacsWhen the current is less than or equal to zero, the alternating current static load adopts a Z model, namely a constant impedance (Z) model with the constant current (I) and constant power (P) coefficients being zero in the ZIP model;
reactive component Q in DC static loaddcsWhen the voltage is more than zero, the direct current static load adopts a ZIP model, and when Q is greater than zerodcsWhen the current is less than or equal to zero, the direct current static load adopts a Z model, namely the coefficients of constant current (I) and constant power (P) in the ZIP model are bothA constant impedance (Z) model of zero.
7. Alternating current-direct current hybrid power distribution network generalized comprehensive load analog system, its characterized in that: the method comprises the steps that an alternating current-direct current hybrid power distribution network generalized comprehensive load model is constructed by the modeling method according to any one of claims 1 to 6, the alternating current-direct current hybrid power distribution network generalized comprehensive load model comprises an alternating current load model, a direct current load model and a transformer substation high-voltage bus, the alternating current load model comprises an equivalent induction motor and a static load which are connected in parallel, the direct current load model comprises an equivalent direct current motor, a static load and a generalized load which are connected in parallel, the alternating current load model is connected to the alternating current bus, the direct current load model is connected to the alternating current bus through an interface model, and the alternating current bus is connected to the transformer substation high-voltage bus through.
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