CN106372742A - Power-to-gas multi-source energy storage type microgrid day-ahead optimal economic dispatching method - Google Patents

Abstract

The invention discloses a power-to-gas (P2G) multi-source energy storage type microgrid day-ahead optimal economic dispatching method. The method comprises the steps of building a P2G multi-source energy storage type microgrid model by performing modeling on a P2G multi-source energy storage type microgrid by adopting an energy concentrator method, establishing a supply side matrix expression, a conversion component matrix expression and a load side matrix expression, simultaneously establishing a supply side matrix, a conversion component matrix and a load side matrix, and obtaining a matrix expression of an energy relationship of the P2G multi-source energy storage type microgrid; and establishing a day-ahead P2G multi-source energy storage type microgrid economic dispatching model, which comprises target functions, component models and constraints. According to the method, a second microgrid is added to a power storage and heat storage device on the basis of a first microgrid, so that the wind curtailment amount is slightly reduced, the system cost is also reduced, and the advantages of multi-source energy storage are reflected; and a third microgrid is added to a P2G device, so that the wind curtailment amount is greatly reduced, the utilization rate of a fan is increased to a great extent, and the unique advantages of the P2G multi-source energy storage in the aspect of wind energy absorption are proved.

Description

Consider that electricity turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago

Technical field

The present invention relates to a kind of microgrid economic load dispatching method a few days ago.More particularly to a kind of consideration electricity turns gas multi-source accumulation energy type Microgrid Optimum Economic dispatching method a few days ago.

Background technology

Use with new forms of energy attracts widespread attention, the grid-connected power generation system installed capacity such as photovoltaic, wind-powered electricity generation It is being continuously increased it is contemplated that being up to 200,000,000 kilowatts to the year two thousand twenty blower fan installed capacity.But because wind energy turbine set is different with power grid construction The reasons such as step, wind-powered electricity generation characteristic and peak load regulation network ability mismatch, occur in that in some areas and abandon wind, abandon the phenomenons such as light, cause Energy waste and economic loss.

Using the integrated regenerative resource of integrated energy system framework be improve renewable energy utilization rate important means it One.It is typical user's side integrated energy system form based on the micro-grid system of natural gas, electric power and heating power energy supply, by microgrid In system, natural gas, electric power and heating power link coordinate optimization, can improve renewable energy utilization rate；Additionally, also can be In coupled system, the technology such as development gas storage, storing up electricity and storage potential energy, is improved renewable energy utilization rate, ultimately forms and disappeared by polynary Receive technology or polynary energy storage technology and reduce and abandon wind, abandon the phenomenons such as light.Because a large amount of storage of electric power haves such problems as high cost, and Gas storage advantage of lower cost, can greatly develop gas storage technology in micro-grid system, for example, turn gas technology by unnecessary wind by electricity Electricity changes into natural gas and is stored, and reduces and abandons wind, abandons the phenomenons such as light.

It is to exert oneself peak period in load valley or regenerative resource that electricity turns gas (power to gas, p2g) technology, will have more than needed Electric energy be converted into natural gas or hydrogen, be stored in gas distributing system or natural gas storage equipment；In electricity shortage, will deposit The gas of storage is converted into electric energy or heat energy is supplied to user, thus improve micro-grid system dissolving renewable energy in the load valley phase The ability in source.P2g technology also increases the effect that electric-gas in system couples link, enhances between electric power-natural gas system The confession stabilizability of coupling and system.

According to the difference of p2g technology final product (hydrogen, natural gas), electricity can be turned gas technology and be divided into electricity to turn natural gas Turn hydrogen with electricity.

Electricity turns natural gas technology and generally comprises two stages (1) first, and unnecessary electric energy is passed through to be electrolysed water generation hydrogen, Its energy conversion efficiency is up to 75%-85%.Existing electrolytic hydrogen production method mainly has two kinds: electrolyzed alkaline water hydrogen manufacturing and polymerization Thing electrolyte water electrolysis hydrogen production.Electrolyzed alkaline water hydrogen manufacturing is a kind of ripe technology, by large-scale application.Compared to alkalescence Water electrolysis hydrogen production, polymer dielectric water electrolysis hydrogen production is a kind of new technique, and this method is more flexible, and load can be in 0- Change between 100%, and electrolyzed alkaline water hydrogen manufacturing minimum load is limited between 20%-40%.(2) work and then in catalyst With under, the electrolysis hydrogen of water generating and carbon dioxide reaction are generated methane and water, this process is referred to as methanation, this Process Energy conversion efficiency is about 75%-80%.In methanation, required carbon dioxide can come from surrounding air, thermoelectricity Factory's flue gas and the biogas of anaerobic bacterial digestion generation.By above-mentioned two stage chemical, p2g overall efficiency about exists Between 45%-60%.

Another kind of method of p2g is that electricity turns hydrogen, that is, directly by hydrogen injection natural gas line after electrolysis water produces hydrogen Or stored in hydrogen storage device.Turn natural gas process compared to electricity, electricity turns the energy that hydrogen can avoid methanation reaction Amount loss, but this method there is also many drawbacks, for example: after (1) hydrogen is added to existing natural gas line, pipe can be caused The risk of material aspect, such as hydrogen embrittlement and infiltration.Therefore some countries are limited to the ratio of hydrogen injection natural duct, for example In German regulation natural gas line, the content of hydrogen not can exceed that 5%；(2) energy density of hydrogen is about 1/4 times of methane, tool There is the natural gas volume of identical energy more much bigger than methane, be not easy to store and transport.

Comparatively speaking, by p2g technology synthetic natural gas, the coupling of electric power networks and natural gas network in strengthening microgrid Characteristic, the confession stabilizability aspect technology improving integrated energy system is more ripe perfect.Therefore, electric power is converted into natural gas relatively Electricity turn hydrogen there is broader practice prospect.

Content of the invention

The technical problem to be solved is to provide a kind of consideration electricity of the utilization rate that can improve blower fan and turns gas Multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago.

The technical solution adopted in the present invention is: a kind of consideration electricity turns the Optimum Economic scheduling a few days ago of gas multi-source accumulation energy type microgrid Method, comprises the steps:

1) set up electricity and turn gas multi-source accumulation energy type microgrid model, be using energy hub approach, electricity is turned with gas multi-source energy storage Type microgrid is modeled, and represents that electricity turns the energy coupling of gas multi-source accumulation energy type microgrid with matrix-style, sets up: supply side matrix Expression formula, transition components matrix expression and load side matrix expression, simultaneous supply side matrix, transition components matrix and load Side matrix, the matrix expression obtaining the energy relationship that electricity turns gas multi-source accumulation energy type microgrid is:

L=c_t(pⁱⁿ+p_p2g)+s (1)

In formula, l turns gas multi-source accumulation energy type microgrid load, p for electricityⁱⁿ、c_t, s and p_p2gRepresent that electricity turns gas multi-source accumulation energy type respectively In microgrid, the input of energy, conversion, storage and electricity turn compression ring section；

2) set up electricity a few days ago and turn gas multi-source accumulation energy type microgrid economic load dispatching Optimized model, comprise object function, component models And constraint；Wherein,

Object function is from Financial cost optimal angle it is considered to electricity turns gas multi-source accumulation energy type microgrid from extra power network Buy the cost of the energy, consider that user participates in the inspiriting earnings of demand response simultaneously；Component models and constraint portions include power Constraints of Equilibrium, external network constraint, energy-storage battery model and constraint, gas storage/hot device model and constraint, miniature gas turbine mould Type and constraint, gas-to-electric heat boiler model and constraint, electricity turn gas model and constraint, the constraint of translatable load；

Step 1) described in supply side matrix expression of setting up include:

Define blower fan scheduling factor α to represent the utilization rate of blower fan, the output of blower fan is:

$p_{wind}=p_e^{wind}\mathrm{\α}---\left(2\right)$

In formula, p_windRepresent the output of blower fan,Indicate Wu the blower fan output abandoned during wind, blower fan abandon wind Amount is expressed as:

$p_{cur}=p_e^{wind}(1-\mathrm{\α})---\left(3\right)$

p_curRepresent and abandon wind power；

Supply side energy relationship is:

$\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]=\left[\begin{array}{c}{p}_e^{net}+p_{wind}\\ p_g^{net}\end{array}\right]+\left[\begin{array}{c}-p_{p2g}\\ p_{p2g}{\mathrm{\η}}_{p2g}\end{array}\right]---\left(4\right)$

p¹=pⁱⁿ+p_p2g(5)

In formula, p¹、pⁱⁿ、p_p2gRepresent that supply side output, input and electricity turn the energy of compression ring section conversion respectively,It is respectively electricity and turn the energy from electrical network and natural gas Online Shopping for the gas multi-source accumulation energy type microgrid, p_windRepresent that blower fan is defeated The power going out, p_p2g、η_p2gRepresent that electricity turns input energy and the efficiency of gas equipment respectively,Represent respectively from supply side output Electric energy and natural gas to transition components.

Step 1) described in set up transition components matrix expression, be to set up transition components energy relationship, transition components Energy relationship is:

$\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]=\left[\begin{array}{cc}1-\mathrm{\λ}& {\mathrm{\β}}_1{\mathrm{\η}}_{mt}^e\\ {\mathrm{\λ\η}}_{eb}& {\mathrm{\β}}_2{\mathrm{\η}}_{gb}+{\mathrm{\β}}_1{\mathrm{\η}}_{mt}^h\\ 0& {\mathrm{\β}}_3\end{array}\right]\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]---\left(6\right)$

p²=c_tp¹(7)

In formula, p²、p¹、c_tRepresent the energy output of conversion side, energy input and energy transition matrix respectively, λ represents that electric energy is defeated EnterDistribute to the partition coefficient of electric boiler electric energy, β₁、β₂、β₃Represent natural gas input respectivelyDistribute to miniature gas turbine, Gas fired-boiler and the partition coefficient of natural gas load, β₁、β₂、β₃Triadic relation is β₁+β₂+β₃=1, η_eb、η_gbRepresent grill pan respectively Stove, the thermal efficiency of gas fired-boiler,Represent electricity, the thermal efficiency of miniature gas turbine respectively,WithTable respectively Show electric energy, natural gas and the heat energy exporting load side from transition components.

Step 1) described in set up load side matrix expression, be to set up load side energy relationship, load side energy close It is to be:

$\left[\begin{array}{c}{l}_e\\ l_h\\ l_g\end{array}\right]=\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]+\left[\begin{array}{c}{p}_e^s\\ p_h^s\\ p_g^s\end{array}\right]---\left(8\right)$

L=p²+s (9)

In formula, l, s are respectively load power and energy storage power matrix, l_e、l_h、l_gFor electric load, the gentle load of thermic load,WithIt is respectively the delivered power of electric energy storage, hot energy storage and gas energy storage.

Step 2) described in object function, being target is turned gas multi-source accumulation energy type microgrid 24 periods became a few days ago by studying electricity This is minimum, specific as follows:

$\min f=\underset{t=0}{\overset{24}{\σ}}\[c_e\left(t\right)+c_g\left(t\right)+c_{load}\left(t\right)\]---\left(10\right)$

c_e(t)=π_e(t)p_e(t) (11)

c_g(t)=π_g(t)p_g(t) (12)

c_load(t)=π_con(t)p_con(t) (13)

In formula, c_e、c_gRepresent that electricity turns the cost that gas multi-source accumulation energy type microgrid buys the energy from electrical network, gas net purchase, c respectively_loadTable Show that user participates in the cost of demand response, π_e、π_gRepresent the price of electric power and natural gas, π respectively_conRepresent the one-tenth of controllable burden This, p_e、p_gAnd p_conRepresent electrical power, qigong rate and the load power participating in demand response of purchase respectively.

Step 2) described in component models and constraint include:

(1) power-balance constraint

Turn in gas multi-source accumulation energy type microgrid in electricity as shown in Figure 2, the preservation of energy that there is electric energy, natural gas and heat energy closes System:

L=c_t(pⁱⁿ+p_p2g)+s (14)

For electric energy, natural gas and heat energy, preservation of energy formula particularly as follows:

$p_g^{net}+p_g^{p2g}+p_g^s-p_{in}^{mt}-p_{in}^{gb}-l_g=0---\left(15\right)$

$p_e^{net}+p_e^{wind}-p_e^{p2g}-p_{in}^{eb}+p_e^{mt}+p_e^s-l_e^c-l_e^{uc}=0---\left(16\right)$

$p_h^{eb}+p_h^{mt}+p_g^{gb}+p_h^s-l_h=0---\left(17\right)$

In formula,Be respectively electricity turn gas multi-source accumulation energy type microgrid from the electric energy of electrical network and natural gas Online Shopping and Natural gas,Represent the output of blower fan,Represent respectively and be input to the electricity that electricity turns gas equipment and boilers heated electrically Can, Represent miniature gas turbine and the electrical power of energy-storage battery output respectively,Represent that electricity turns gas and sets respectively The natural gas power of standby gentle energy storage device output,Represent respectively and be input to miniature gas turbine and gas fired-boiler Natural gas, Represent that boilers heated electrically, miniature gas turbine, gas fired-boiler and heat accumulation equipment are defeated respectively The thermal power going out, l_g、l_hRepresent translatable electric load, uncontrollable electric load, gas load and thermic load respectively.

(2) external network constraint

Consider that electrical network and natural gas network turn the requirement of gas multi-source accumulation energy type microgrid to electricity, electricity turns gas multi-source accumulation energy type microgrid Need to be maintained within a certain range with the exchange power of electrical network and natural gas network:

$p_e^{min}\≤p_e^{net}\≤p_e^{max}---\left(18\right)$

$p_g^{min}\≤p_g^{net}\≤p_g^{max}---\left(19\right)$

In formula,It is respectively the bound that electricity turns gas multi-source accumulation energy type microgrid and electrical network exchange power,It is respectively the bound that electricity turns gas multi-source accumulation energy type microgrid and natural gas network exchange power；

(3) energy-storage battery model

Using kibam battery model, battery operation situation to be described,

Before and after discharge and recharge, battery charge magnitude relation is:

q_t=q_t-δt+[i_c,t-δtu-i_dis,t-δt(1-u)]δt (20)

In formula, q_tRepresent the quantity of electric charge of t battery, u is 0-1 variable, 0 expression discharge condition, 1 expression charged state, δ t represents discharge and recharge step-length, i_c,t-δt、i_dis,t-δtRepresent charging current and the discharge current of t- δ t respectively, by soc The state-of-charge of expression battery:

Soc=q/q_max(21)

In formula, q represents the carrying capacity of battery, q_maxRepresent the maximum carrying capacity of battery；

It is assumed that the terminal voltage of energy-storage battery is constant in energy-storage battery running, in order to extend the life-span of energy-storage battery, Energy-storage battery state-of-charge needs within the specific limits, and charging and discharging currents are also subject to certain constraining,

soc_min≤soc≤soc_max(22)

$0\≤i_c\≤i_c^{max}---\left(23\right)$

$0\≤i_{dis}\≤i_{dis}^{max}---\left(24\right)$

In formula, soc_min、soc_maxIt is respectively minima and the maximum of energy-storage battery nuclear power state,It is respectively The maximum discharge current of energy-storage battery and maximum charging current, i_c、i_disRepresent charging current and the electric discharge electricity of energy-storage battery respectively Stream；

(4) heat accumulation or gas storage equipment

It is assumed that the accumulation of energy within the δ t time period and exoergic power invariability, then heat accumulation before and after heat accumulation or gas storage equipment charge and discharge energy Or gas storage equipment energy relationship is:

$w_1=w_0+(q_c{\mathrm{\η}}_c-\frac{q_d}{{\mathrm{\η}}_d})\mathrm{\δ}t---\left(25\right)$

In formula, w₀、w₁Represent the energy that heat accumulation before and after energy storage or exoergic or gas storage equipment are stored, q respectively_c、q_dTable respectively Show the energy of energy storage device storage or release, η_c、η_dRepresent energy storage, the efficiency of exoergic respectively, for ensureing the stable fortune of energy storage device OK, following constraints need to be met:

w_min≤w≤w_max(26)

0≤q_c≤q_c,max(27)

0≤q_d≤q_d,max(28)

In formula, w_max、w_minIt is respectively maximum and the minima of storage energy, q_c,max、q_d,maxIt is respectively energy storage and exoergic Maximum；

(5) miniature gas turbine model

By miniature gas turbine, the energy of natural gas is converted into electric energy and heat energy, miniature gas turbine operationally, The conditions such as rated power constraint, the constraint of climbing rate need to be met,

$0\≤p_{in}^{mt}\≤p_{rated}^{mt}---\left(29\right)$

${\mathrm{\δp}}_{\min }^{mt}\≤{\mathrm{\δp}}^{mt}\≤{\mathrm{\δp}}_{\max }^{mt}---\left(30\right)$

In formula,Represent input power and the rated power of miniature gas turbine, δ p respectively^mtRepresent miniature combustion Gas-turbine input power variable quantity,Represent lower limit and the upper limit of miniature gas turbine climbing rate respectively；

(6) gas boiler or boilers heated electrically

By gas boiler or boilers heated electrically, natural gas energy or electric energy are converted into heat energy, gas boiler or boilers heated electrically exist During operation, rated power constraint, the constraint of climbing rate need to be met,

0≤p_in≤p_rated(31)

δp_min≤δp≤δp_max(32)

In formula, p_inRepresent the input power of gas boiler or boilers heated electrically, p_ratedRepresent the specified of gas boiler or boilers heated electrically Power, δ p represents gas boiler or boilers heated electrically input power variable quantity, δ p_max、δp_minRepresent gas boiler or electric food warmer respectively The bound of stove climbing rate；

(7) electricity turns gas model

Gas equipment is turned by electricity, converts electrical energy into natural gas:

$p_{p2g}^g={\mathrm{\η}}_{p2g}{p}_{p2g}---\left(33\right)$

In formula, p_p2gRepresent that electricity turns the input power of gas equipment, η_p2gRepresent that electricity turns the efficiency of gas equipment,Represent that electricity turns The energy of the natural gas of gas equipment output.

Electricity turns gas equipment and is mainly constrained by rated power:

$0\≤p_{p2g}\≤p_{p2g}^{rated}---\left(34\right)$

In formula,Represent that electricity turns the rated power of gas equipment；

(8) translatable load

Translatable load is according to electricity price, from electricity price peak, load to be transferred to electricity price to underestimate period, or the ripple according to blower fan The undulatory property of dynamic property or load is controlled to translatable load, with air-conditioning, the civilian unproductive load of water heater for typical generation Table, is constrained to:

∑p_in,t=∑ p_out,t(35)

$0\≤p_{out,t}\≤p_{out}^{\max }---\left(36\right)$

$0\≤p_{in,t}\≤p_{in}^{\max }---\left(37\right)$

In formula, p_in,t、p_out,tIt is respectively the load that t is transferred out of and is transferred to,It is respectively t to turn Removal and the maximum of the load being transferred to.

The consideration electricity of the present invention turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, on the basis of mgeh1, Mgeh2 somewhat can reduce so that abandoning air quantity after adding storing up electricity and heat accumulation equipment, and system cost also can reduce, and embodies multi-source energy storage Advantage.After mgeh3 adds p2g equipment, can make to abandon air quantity and significantly reduce, significantly improve the utilization rate of blower fan, card The bright energy storage of multi-source containing p2g is dissolved in microgrid wind energy the unique advantage of aspect.

Brief description

Fig. 1 is that electricity turns the summary of gas (p2g) process；

Fig. 2 is that electricity turns gas multi-source accumulation energy type microgrid energy hub architecture figure；

Fig. 3 is micro-grid system load；

Fig. 4 is the price of electric power and natural gas；

Fig. 5 is no to abandon blower fan under landscape condition to exert oneself；

Fig. 6 is blower fan utilization rate during different scenes；

Fig. 7 is blower fan output under different scenes；

Fig. 8 is that under different scenes, micro-grid system buys electric energy；

Fig. 9 is that under different scenes, micro-grid system buys natural gas.

Specific embodiment

Optimum Economic is adjusted a few days ago with reference to embodiment and accompanying drawing, the consideration electricity of the present invention to be turned with gas multi-source accumulation energy type microgrid Degree method is described in detail.

The consideration electricity of the present invention turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, comprises the steps:

1) set up and turn gas (p2g) multi-source accumulation energy type microgrid model containing electricity, be using energy hub approach (energy Hub, eh), electricity is turned with gas multi-source accumulation energy type microgrid and is modeled, and represent that electricity turns gas multi-source accumulation energy type microgrid energy with matrix-style Source couples, and sets up: supply side matrix expression, transition components matrix expression and load side matrix expression.Wherein,

(1) the supply side matrix expression of setting up described in includes:

In supply side, containing from the energy input of energy network, regenerative resource and p2g equipment, gas is turned by electricity and sets Standby, convert electrical energy into natural gas transportation to natural gas line, describe the coupling between electric power and natural gas.Define blower fan Dispatch factor α to represent the utilization rate of blower fan, the output of blower fan is:

$p_{wind}=p_e^{wind}\mathrm{\α}---\left(10\right)$

In formula, p_windRepresent the output of blower fan,Indicate Wu the blower fan output abandoned during wind, blower fan abandon wind Amount is expressed as:

$p_{cur}=p_e^{wind}(1-\mathrm{\α})---\left(11\right)$

p_curRepresent and abandon wind power；

Supply side energy relationship is:

$\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]=\left[\begin{array}{c}{p}_e^{net}+p_{wind}\\ p_g^{net}\end{array}\right]+\left[\begin{array}{c}-p_{p2g}\\ p_{p2g}{\mathrm{\η}}_{p2g}\end{array}\right]---\left(12\right)$

p¹=pⁱⁿ+p_p2g(13)

In formula, p¹、pⁱⁿ、p_p2gRepresent that supply side output, input and electricity turn the energy of compression ring section conversion respectively,It is respectively electricity and turn the energy from electrical network and natural gas Online Shopping for the gas multi-source accumulation energy type microgrid, p_windRepresent that blower fan is defeated The power going out, p_p2g、η_p2gRepresent that electricity turns input energy and the efficiency of gas equipment respectively,Represent respectively from supply side output Electric energy and natural gas to transition components.

(2) set up transition components matrix expression described in, be to set up transition components energy relationship, in transition components, Containing energy conversions such as electric boiler, miniature combustion engine and gas fired-boilers, serve the effect connecting supply and demand both sides, transition components energy Magnitude relation is:

$\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]=\left[\begin{array}{cc}1-\mathrm{\λ}& {\mathrm{\β}}_1{\mathrm{\η}}_{mt}^e\\ {\mathrm{\λ\η}}_{eb}& {\mathrm{\β}}_2{\mathrm{\η}}_{gb}+{\mathrm{\β}}_1{\mathrm{\η}}_{mt}^h\\ 0& {\mathrm{\β}}_3\end{array}\right]\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]---\left(14\right)$

p²=c_tp¹(15)

In formula, p²、p¹、c_tRepresent the energy output of conversion side, energy input and energy transition matrix respectively, λ represents that electric energy is defeated EnterDistribute to the partition coefficient of electric boiler electric energy, β₁、β₂、β₃Represent natural gas input respectivelyDistribute to miniature gas turbine, Gas fired-boiler and the partition coefficient of natural gas load, β₁、β₂、β₃Triadic relation is β₁+β₂+β₃=1, η_eb、η_gbRepresent grill pan respectively Stove, the thermal efficiency of gas fired-boiler,Represent electricity, the thermal efficiency of miniature gas turbine respectively,WithTable respectively Show electric energy, natural gas and the heat energy exporting load side from transition components.

(3) set up load side matrix expression described in, be to set up load side energy relationship, in load side, except de-electrifying, Outside air and heat load, also contain energy-storage battery, heat accumulation equipment, gas storage equipment.Load side energy relationship is:

$\left[\begin{array}{c}{l}_e\\ l_h\\ l_g\end{array}\right]=\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]+\left[\begin{array}{c}{p}_e^s\\ p_h^s\\ p_g^s\end{array}\right]---\left(16\right)$

L=p²+s (17)

In formula, l, s are respectively load power and energy storage power matrix, l_e、l_h、l_gFor electric load, the gentle load of thermic load,WithIt is respectively the delivered power of electric energy storage, hot energy storage and gas energy storage.

Simultaneous supply side matrix, transition components matrix and load side matrix, obtain the energy that electricity turns gas multi-source accumulation energy type microgrid The matrix expression of magnitude relation is:

L=c_t(pⁱⁿ+p_p2g)+s (18)

In formula, pⁱⁿ、c_t, s and p_p2gRespectively represent electricity turn the input of energy in gas multi-source accumulation energy type microgrid, conversion, store and Electricity turns compression ring section；

Gas multi-source accumulation energy type microgrid is turned for different types of electricity, the equipment that contains inside it may be different, can be according to setting Standby function difference, modifies in the mgeh model corresponding link matrix that above-mentioned formula determines.For example, if to turn gas many for electricity In the accumulation energy type microgrid of source contain energy storage but no electricity turns compression ring section, then its energy relationship be described as:

L=c_tpⁱⁿ+s (19)

If electricity turns in gas multi-source accumulation energy type microgrid both no energy storage no electricity and turns compression ring section, its energy relationship is:

L=c_tpⁱⁿ(11)

In summary, electricity is turned gas multi-source accumulation energy type microgrid model to be extended, after " series connection " Modularization modeling, if needing Integrated energy system framework under analysis different scenes, only need to change the corresponding matrix element of element, reduce and repeat to model Time, improve efficiency.

2) set up electricity a few days ago and turn gas multi-source accumulation energy type microgrid economic load dispatching Optimized model, comprise object function, component models And constraint；Wherein,

The object function present invention is from Financial cost optimal angle it is considered to turn gas multi-source accumulation energy type microgrid from outside containing electricity Energy network buys the cost of the energy, considers that user participates in the inspiriting earnings of demand response simultaneously.Specifically consider to turn gas containing electricity Multi-source accumulation energy type microgrid, from the cost of the extra power Online Shopping energy, considers that user participates in the excitation receipts of demand response simultaneously Benefit；Component models and constraint portions include power-balance constraint, external network constraint, energy-storage battery model and constraint, gas storage/heat Device model and constraint, miniature gas turbine model and constraint, gas-to-electric heat boiler model and constraint, electricity turn gas model and constraint, Translatable load constraint；Wherein,

(1) object function described in is target to be turned gas multi-source accumulation energy type microgrid 24 period costs is the most a few days ago by studying electricity Low, specific as follows:

$\min f=\underset{t=0}{\overset{24}{\σ}}\[c_e\left(t\right)+c_g\left(t\right)+c_{load}\left(t\right)\]---\left(12\right)$

c_e(t)=π_e(t)p_e(t) (13)

c_g(t)=π_g(t)p_g(t) (14)

c_load(t)=π_con(t)p_con(t) (15)

In formula, c_e、c_gRepresent that electricity turns the cost that gas multi-source accumulation energy type microgrid buys the energy from electrical network, gas net purchase, c respectively_loadTable Show that user participates in the cost of demand response, π_e、π_gRepresent the price of electric power and natural gas, π respectively_conRepresent the one-tenth of controllable burden This, p_e、p_gAnd p_conRepresent electrical power, qigong rate and the load power participating in demand response of purchase respectively.

(2) component models described in and constraint include:

(2.1) power-balance constraint

Turn in gas multi-source accumulation energy type microgrid in electricity as shown in Figure 2, the preservation of energy that there is electric energy, natural gas and heat energy closes System:

L=c_t(pⁱⁿ+p_p2g)+s (16)

In formula, l turns gas multi-source accumulation energy type microgrid load, p for electricityⁱⁿ、c_t, s and p_p2gRepresent that electricity turns gas multi-source accumulation energy type respectively In microgrid, the input of energy, conversion, storage and electricity turn compression ring section.

For electric energy, natural gas and heat energy, preservation of energy formula particularly as follows:

$p_g^{net}+p_g^{p2g}+p_g^s-p_{in}^{mt}-p_{in}^{gb}-l_g=0---\left(17\right)$

$p_e^{net}+p_e^{wind}-p_e^{p2g}-p_{in}^{eb}+p_e^{mt}+p_e^s-l_e^c-l_e^{uc}=0---\left(18\right)$

$p_h^{eb}+p_h^{mt}+p_g^{gb}+p_h^s-l_h=0---\left(19\right)$

In formula,Be respectively electricity turn gas multi-source accumulation energy type microgrid from the electric energy of electrical network and natural gas Online Shopping and Natural gas,Represent the output of blower fan,Represent respectively and be input to the electricity that electricity turns gas equipment and boilers heated electrically Can, Represent miniature gas turbine and the electrical power of energy-storage battery output respectively,Represent that electricity turns gas and sets respectively The natural gas power of standby gentle energy storage device output,Represent respectively and be input to miniature gas turbine and gas fired-boiler Natural gas, Represent boilers heated electrically, miniature gas turbine, gas fired-boiler and heat accumulation equipment output respectively Thermal power, l_g、l_hRepresent translatable electric load, uncontrollable electric load, gas load and thermic load respectively.

(2.2) external network constraint

Consider that electrical network and natural gas network turn the requirement of gas multi-source accumulation energy type microgrid to electricity, electricity turns gas multi-source accumulation energy type microgrid Need to be maintained within a certain range with the exchange power of electrical network and natural gas network:

$p_e^{min}\≤p_e^{net}\≤p_e^{max}---\left(20\right)$

$p_g^{min}\≤p_g^{net}\≤p_g^{max}---\left(21\right)$

In formula,It is respectively the bound that electricity turns gas multi-source accumulation energy type microgrid and electrical network exchange power,It is respectively the bound that electricity turns gas multi-source accumulation energy type microgrid and natural gas network exchange power；

(2.3) energy-storage battery model

Using kibam (kinetic battery model) battery model, battery operation situation to be described,

Before and after discharge and recharge, battery charge magnitude relation is:

q_t=q_t-δt+[i_c,t-δtu-i_dis,t-δt(1-u)]δt (22)

In formula, q_tRepresent the quantity of electric charge of t battery, u is 0-1 variable, 0 expression discharge condition, 1 expression charged state, δ t represents discharge and recharge step-length, i_c,t-δt、i_dis,t-δtRepresent charging current and the discharge current of t- δ t respectively, by soc The state-of-charge of (state of charge) expression battery:

Soc=q/q_max(23)

In formula, q represents the carrying capacity of battery, q_maxRepresent the maximum carrying capacity of battery；

It is assumed that the terminal voltage of energy-storage battery is constant in energy-storage battery running, in order to extend the life-span of energy-storage battery, Energy-storage battery state-of-charge needs within the specific limits, and charging and discharging currents are also subject to certain constraining,

soc_min≤soc≤soc_max(24)

$0\≤i_c\≤i_c^{max}---\left(25\right)$

$0\≤i_{dis}\≤i_{dis}^{\max }---\left(26\right)$

In formula, soc_min、soc_maxIt is respectively minima and the maximum of energy-storage battery nuclear power state,It is respectively The maximum discharge current of energy-storage battery and maximum charging current, i_c、i_disRepresent charging current and the electric discharge electricity of energy-storage battery respectively Stream；

(2.4) heat accumulation or gas storage equipment

It is assumed that the accumulation of energy within the δ t time period and exoergic power invariability, then heat accumulation before and after heat accumulation or gas storage equipment charge and discharge energy Or gas storage equipment energy relationship is:

$w_1=w_0+(q_c{\mathrm{\η}}_c-\frac{q_d}{{\mathrm{\η}}_d})\mathrm{\δ}t---\left(27\right)$

In formula, w₀、w₁Represent the energy that heat accumulation before and after energy storage or exoergic or gas storage equipment are stored, q respectively_c、q_dTable respectively Show the energy of energy storage device storage or release, η_c、η_dRepresent energy storage, the efficiency of exoergic respectively, for ensureing the stable fortune of energy storage device OK, following constraints need to be met:

w_min≤w≤w_max(28)

0≤q_c≤q_c,max(29)

0≤q_d≤q_d,max(30)

In formula, w_max、w_minIt is respectively maximum and the minima of storage energy, q_c,max、q_d,maxIt is respectively energy storage and exoergic Maximum；

(2.5) miniature gas turbine model

By miniature gas turbine, the energy of natural gas is converted into electric energy and heat energy, miniature gas turbine operationally, The conditions such as rated power constraint, the constraint of climbing rate need to be met,

$0\≤p_{in}^{mt}\≤p_{rated}^{mt}---\left(31\right)$

${\mathrm{\δp}}_{\min }^{mt}\≤{\mathrm{\δp}}^{mt}\≤{\mathrm{\δp}}_{\max }^{mt}---\left(32\right)$

In formula,Represent input power and the rated power of miniature gas turbine, δ p respectively^mtRepresent miniature combustion Gas-turbine input power variable quantity,Represent lower limit and the upper limit of miniature gas turbine climbing rate respectively；

(2.6) gas boiler or boilers heated electrically

By gas boiler or boilers heated electrically, natural gas energy or electric energy are converted into heat energy, gas boiler or boilers heated electrically exist During operation, rated power constraint, the constraint of climbing rate need to be met,

0≤p_in≤p_rated(33)

δp_min≤δp≤δp_max(34)

In formula, p_ratedRepresent the rated power of electricity/gas boiler, δ p represents electricity/gas boiler input power variable quantity, δ p_max、δp_minRepresent the bound of electricity/gas boiler climbing rate respectively；

(2.7) electricity turns gas (p2g) model

Gas equipment is turned by electricity, converts electrical energy into natural gas:

$p_{p2g}^g={\mathrm{\η}}_{p2g}{p}_{p2g}---\left(35\right)$

In formula, p_p2gRepresent the input power of p2g equipment, η_p2gRepresent the efficiency of p2g equipment,Represent the output of p2g equipment Natural gas energy.

Electricity turns gas equipment and is mainly constrained by rated power:

$0\≤p_{p2g}\≤p_{p2g}^{rated}---\left(36\right)$

In formula,Represent the rated power of p2g equipment；

(2.8) translatable load

Translatable load is according to electricity price, from electricity price peak, load to be transferred to electricity price to underestimate period, or the ripple according to blower fan The undulatory property of dynamic property or load is controlled to translatable load, with air-conditioning, the civilian unproductive load of water heater for typical generation Table, is constrained to:

∑p_in,t=∑ p_out,t(37)

$0\≤p_{out,t}\≤p_{out}^{\max }---\left(38\right)$

$0\≤p_{in,t}\≤p_{in}^{\max }---\left(39\right)$

In formula, p_in,t、p_out,tIt is respectively the load that t is transferred out of and is transferred to,It is respectively t to turn Removal and the maximum of the load being transferred to.

In order to compare the difference to wind electricity digestion capability for the micro-grid system under different scenes, it is micro- that the present invention is directed to three kinds of differences Net, is analyzed to economic load dispatching result a few days ago.

Under the first scene, microgrid does not contain energy storage device and p2g equipment, comprises only the coupling element between different energy sources, inspection Test without under energy storage device and p2g equipment supports conditions, the digestion capability to wind-powered electricity generation for the micro-grid system.

Because electric energy storage, hot energy storage are existing energy storage devices, on the basis of the first scene, second scene correspondence is micro- Net increased electric energy storage, hot energy storage device, checks under this scene, and micro-grid system is to the digestion capability of wind-powered electricity generation and system economy.

Under the third scene, electricity turns gas multi-source accumulation energy type microgrid and increases p2g equipment and gas storage equipment in supply side, improves electricity Power network and the coupled characteristic of natural gas network.Under this scene, check the impact to wind-abandoning phenomenon for the p2g, and gas is turned to electricity Multi-source accumulation energy type microgrid economic influence.The simulator Species distributing of three kinds of microgrids is as shown in table 1.

Element contained by table 1 different scenes microgrid

The following is the power balance equation of three kinds of micro-grid systems:

The first power balance equation:

$\left\{\begin{array}{c}{p}_g^{net}-p_{in}^{mt}-p_{in}^{gb}-l_g=0\\ p_e^{net}+p_e^{wind}-p_{in}^{eb}+p_e^{mt}-l_e^c-l_e^{uc}=0\\ p_h^{eb}+p_h^{mt}+p_g^{gb}-l_h=0\end{array}\right.---\left(40\right)$

Second power balance equation:

$\left\{\begin{array}{c}{p}_g^{net}-p_{in}^{mt}-p_{in}^{gb}-l_g=0\\ p_e^{net}+p_e^{wind}-p_{in}^{eb}+p_e^{mt}+p_e^s-l_e^c-l_e^{uc}=0\\ p_h^{eb}+p_h^{mt}+p_g^{gb}+p_h^s-l_h=0\end{array}\right.---\left(41\right)$

The third power balance equation:

$\left\{\begin{array}{c}{p}_g^{net}+p_g^{p2g}+p_g^s-p_{in}^{mt}-p_{in}^{gb}-l_g=0\\ p_e^{net}+p_e^{wind}-p_e^{p2g}-p_{in}^{eb}+p_e^{mt}+p_e^{mt}+p_e^s-l_e^c-l_e^{uc}=0\\ p_h^{eb}+p_h^{mt}+p_g^{gb}+p_h^s-l_h=0\end{array}\right.---\left(42\right)$

Fig. 3 is electricity in one day, gas and heat load distribution situation, and Fig. 4 is the price of electric power and right gas in a day, and electricity price is adopted It is Spot Price (nyiso), Fig. 5 exerts oneself for blower fan, using winter fan characteristic, there is anti-peak-shaving capability.

The present invention is solved to economic load dispatching model a few days ago using interior point method.Can be seen that first by Fig. 6 and Fig. 7 result Kind of microgrid abandons landscape condition most serious, and the whole day of the first microgrid is abandoned wind total amount and reached 4800kw h as can be seen from Table 2.Second Plant after increasing storing up electricity lotus heat accumulation equipment in microgrid, blower fan utilization rate increases, the wind rate of abandoning on daytime reduces, and whole day is abandoned under air quantity Drop to 3429kw h, but the serious phenomenon of wind is abandoned for night and does not have larger change, this is that storing up electricity high cost, capacity are little etc. Reason causes.After the third electricity turns addition p2g equipment in gas multi-source accumulation energy type microgrid, in economic load dispatching model cost a few days ago Under excellent vectoring doctrine, p2g night can dissolve more wind-powered electricity generations so that blower fan utilization rate is significantly increased, and abandoning wind rate has by a relatively large margin Reduce, whole day is abandoned wind total amount and is only 354kw h.

Under table 2 different scenes, the whole day of micro-grid system abandons wind total amount

By Fig. 8,9 and table 3, table 4 as can be seen that not containing energy storage and the first microgrid cost highest of p2g, its electricity bought Can be also most with natural gas, respectively 20437kw h and 31636kw h.After adding storing up electricity and gas storage equipment, microgrid system The cost of system can reduce, and the first microgrid cost declines 1910 cents (adopting quotation in dollars in full), its electric energy bought relatively All decline compared to the first microgrid with natural gas, respectively 19762kw h and 31168kw h.In second microgrid On the basis of add p2g and gas storage facility after, cost drops to the minimum of three kinds of scenes, is 59468 cents.Compared to first two field Scape, the behavior that the third electricity turns the electric energy of gas multi-source accumulation energy type microgrid purchase only occurs in daily 11 points to 13 points of peak of power consumption Phase, buy electric energy and drop to 19657kw h.At 0 point to 4 points and 23 points to 24 points, the third electricity turns gas multi-source accumulation energy type microgrid The natural gas bought is almost nil compared to first two scene, and the natural gas bought for a day drops to 29046kw h.

Under table 3 different scenes, micro-grid system buys the energy

Micro-grid system cost under table 4 different scenes

From result above, on the basis of the first microgrid, second microgrid adds meeting after storing up electricity and heat accumulation equipment So that abandon air quantity somewhat reducing, system cost also can reduce, and embodies the advantage of multi-source energy storage.The third electricity turns gas multi-source energy storage After type microgrid adds p2g equipment, can make to abandon air quantity and significantly reduce, significantly improve the utilization rate of blower fan it was demonstrated that electricity turns Gas multi-source accumulation energy type microgrid wind energy is dissolved the unique advantage of aspect.

Claims (6)

1. a kind of consider electricity turn gas multi-source accumulation energy type microgrid a few days ago Optimum Economic dispatching method it is characterised in that including following walking Rapid:

1) set up electricity and turn gas multi-source accumulation energy type microgrid model, be using energy hub approach, electricity turned with gas multi-source accumulation energy type micro- Net is modeled, and represents that electricity turns the energy coupling of gas multi-source accumulation energy type microgrid with matrix-style, sets up: supply side expression matrix Formula, transition components matrix expression and load side matrix expression, simultaneous supply side matrix, transition components matrix and load side square Battle array, the matrix expression obtaining the energy relationship that electricity turns gas multi-source accumulation energy type microgrid is:

L=c_t(pⁱⁿ+p_p2g)+s (1)

In formula, l turns gas multi-source accumulation energy type microgrid load, p for electricityⁱⁿ、c_t, s and p_p2gRepresent that electricity turns gas multi-source accumulation energy type microgrid respectively The input of middle energy, conversion, storage and electricity turn compression ring section；

2) set up electricity a few days ago and turn gas multi-source accumulation energy type microgrid economic load dispatching Optimized model, comprise object function, component models and about Bundle；Wherein,

Object function is from Financial cost optimal angle it is considered to electricity turns gas multi-source accumulation energy type microgrid from extra power Online Shopping The cost of the energy, considers that user participates in the inspiriting earnings of demand response simultaneously；Component models and constraint portions include power-balance Constraint, external network constraint, energy-storage battery model and constraint, gas storage/hot device model and constraint, miniature gas turbine model and Constraint, gas-to-electric heat boiler model and constraint, electricity turn gas model and constraint, the constraint of translatable load.

2. consideration electricity according to claim 1 turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, its feature Be, step 1) described in supply side matrix expression of setting up include:

Define blower fan scheduling factor α to represent the utilization rate of blower fan, the output of blower fan is:

$p_{wind}=p_e^{wind}\mathrm{\α}---\left(2\right)$

In formula, p_windRepresent the output of blower fan,Indicate Wu the blower fan output abandoned during wind, blower fan abandon airflow meter It is shown as:

$p_{cur}=p_e^{wind}(1-\mathrm{\α})---\left(3\right)$

p_curRepresent and abandon wind power；

Supply side energy relationship is:

$\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]=\left[\begin{array}{c}{p}_e^{net}+p_{wind}\\ p_g^{net}\end{array}\right]+\left[\begin{array}{c}-p_{p2g}\\ p_{p2g}{\mathrm{\η}}_{p2g}\end{array}\right]---\left(4\right)$

p¹=pⁱⁿ+p_p2g(5)

In formula, p¹、pⁱⁿ、p_p2gRepresent that supply side output, input and electricity turn the energy of compression ring section conversion respectively,Respectively Turn the energy from electrical network and natural gas Online Shopping for the gas multi-source accumulation energy type microgrid, p for electricity_windRepresent the power of blower fan output, p_p2g、η_p2gRepresent that electricity turns input energy and the efficiency of gas equipment respectively,Represent respectively and export conversion group from supply side The electric energy of part and natural gas.

3. consideration electricity according to claim 1 turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, its feature Be, step 1) described in set up transition components matrix expression, be to set up transition components energy relationship, transition components energy Relation is:

$\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]=\left[\begin{array}{cc}1-\mathrm{\λ}& {\mathrm{\β}}_1{\mathrm{\η}}_{mt}^e\\ {\mathrm{\λ\η}}_{eb}& {\mathrm{\β}}_2{\mathrm{\η}}_{gb}+{\mathrm{\β}}_1{\mathrm{\η}}_{mt}^h\\ 0& {\mathrm{\β}}_3\end{array}\right]\left[\begin{array}{c}{p}_e^1\\ p_g^1\end{array}\right]---\left(6\right)$

p²=c_tp¹(7)

In formula, p²、p¹、c_tRepresent the energy output of conversion side, energy input and energy transition matrix respectively, λ represents that electric energy inputs Distribute to the partition coefficient of electric boiler electric energy, β₁、β₂、β₃Represent natural gas input respectivelyDistribute to miniature gas turbine, combustion gas Boiler and the partition coefficient of natural gas load, β₁、β₂、β₃Triadic relation is β₁+β₂+β₃=1, η_eb、η_gbRespectively represent electric boiler, The thermal efficiency of gas fired-boiler,Represent electricity, the thermal efficiency of miniature gas turbine respectively, WithRepresent respectively from Transition components export electric energy, natural gas and the heat energy of load side.

4. consideration electricity according to claim 1 turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, its feature Be, step 1) described in set up load side matrix expression, be to set up load side energy relationship, load side energy relationship For:

$\left[\begin{array}{c}{l}_e\\ l_h\\ l_g\end{array}\right]=\left[\begin{array}{c}{p}_e^2\\ p_h^2\\ p_g^2\end{array}\right]+\left[\begin{array}{c}{p}_e^s\\ p_h^s\\ p_g^s\end{array}\right]---\left(8\right)$

L=p²+s (9)

In formula, l, s are respectively load power and energy storage power matrix, l_e、l_h、l_gFor electric load, the gentle load of thermic load,WithIt is respectively the delivered power of electric energy storage, hot energy storage and gas energy storage.

5. consideration electricity according to claim 1 turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, its feature Be, step 2) described in object function, be that target is turned gas multi-source accumulation energy type microgrid 24 period cost a few days ago by studying electricity Minimum, specific as follows:

$\min f=\underset{t=0}{\overset{24}{\σ}}\[c_e\left(t\right)+c_g\left(t\right)+c_{load}\left(t\right)\]---\left(10\right)$

c_e(t)=π_e(t)p_e(t) (11)

c_g(t)=π_g(t)p_g(t) (12)

c_load(t)=π_con(t)p_con(t) (13)

In formula, c_e、c_gRepresent that electricity turns the cost that gas multi-source accumulation energy type microgrid buys the energy from electrical network, gas net purchase, c respectively_loadRepresent and use Family participates in the cost of demand response, π_e、π_gRepresent the price of electric power and natural gas, π respectively_conRepresent the cost of controllable burden, p_e、 p_gAnd p_conRepresent electrical power, qigong rate and the load power participating in demand response of purchase respectively.

6. consideration electricity according to claim 1 turns gas multi-source accumulation energy type microgrid Optimum Economic dispatching method a few days ago, its feature Be, step 2) described in component models and constraint include:

(1) power-balance constraint

Turn in gas multi-source accumulation energy type microgrid in electricity as shown in Figure 2, there is the energy conservation relation of electric energy, natural gas and heat energy:

L=c_t(pⁱⁿ+p_p2g)+s (14)

For electric energy, natural gas and heat energy, preservation of energy formula particularly as follows:

$p_g^{net}+p_g^{p2g}+p_g^s-p_{in}^{mt}-p_{in}^{gb}-l_g=0---\left(15\right)$

$p_e^{net}+p_e^{wind}-p_e^{p2g}-p_{in}^{eb}+p_e^{mt}+p_e^s-l_e^c-l_e^{uc}=0---\left(16\right)$

$p_h^{eb}+p_h^{mt}+p_g^{gb}+p_h^s-l_h=0---\left(17\right)$

In formula,It is respectively electricity and turn gas multi-source accumulation energy type microgrid from the electric energy of electrical network and natural gas Online Shopping and natural Gas,Represent the output of blower fan,Represent respectively and be input to the electric energy that electricity turns gas equipment and boilers heated electrically, Represent miniature gas turbine and the electrical power of energy-storage battery output respectively,Represent that electricity turns gas equipment respectively The natural gas power of gentle energy storage device output,Represent respectively and be input to miniature gas turbine and gas fired-boiler Natural gas,Represent boilers heated electrically, miniature gas turbine, gas fired-boiler and heat accumulation equipment output respectively Thermal power,l_g、l_hRepresent translatable electric load, uncontrollable electric load, gas load and thermic load respectively.

(2) external network constraint

Consider that electrical network and natural gas network turn the requirement of gas multi-source accumulation energy type microgrid to electricity, electricity turns gas multi-source accumulation energy type microgrid and electricity The exchange power of net and natural gas network need to be maintained within a certain range:

$p_e^{min}\≤p_e^{net}\≤p_e^{max}---\left(18\right)$

$p_g^{min}\≤p_g^{net}\≤p_g^{max}---\left(19\right)$

In formula,It is respectively the bound that electricity turns gas multi-source accumulation energy type microgrid and electrical network exchange power,Point Electric Wei not turn the bound of gas multi-source accumulation energy type microgrid and natural gas network exchange power；

(3) energy-storage battery model

Using kibam battery model, battery operation situation to be described,

Before and after discharge and recharge, battery charge magnitude relation is:

q_t=q_t-△t+[i_c,t-△tu-i_dis,t-△t(1-u)]△t (20)

In formula, q_tRepresent the quantity of electric charge of t battery, u is 0-1 variable, 0 expression discharge condition, 1 expression charged state, △ t table Show discharge and recharge step-length, i_c,t-△t、i_dis,t-△tRepresent charging current and the discharge current of t- △ t respectively, electricity is represented by soc The state-of-charge in pond:

Soc=q/q_max(21)

In formula, q represents the carrying capacity of battery, q_maxRepresent the maximum carrying capacity of battery；

It is assumed that the terminal voltage of energy-storage battery is constant in energy-storage battery running, in order to extend the life-span of energy-storage battery, energy storage Battery charge state needs within the specific limits, and charging and discharging currents are also subject to certain constraining,

soc_min≤soc≤soc_max(22)

$0\≤i_c\≤i_c^{\max }---\left(23\right)$

$0\≤i_{dis}\≤i_{dis}^{\max }---\left(24\right)$

In formula, soc_min、soc_maxIt is respectively minima and the maximum of energy-storage battery nuclear power state,It is respectively energy storage The maximum discharge current of battery and maximum charging current, i_c、i_disRepresent charging current and the discharge current of energy-storage battery respectively；

(4) heat accumulation or gas storage equipment

It is assumed that the accumulation of energy within the △ t time period and exoergic power invariability, then heat accumulation or storage before and after heat accumulation or gas storage equipment charge and discharge energy Gas plant capacity relation is:

$w_1=w_0+(q_c{\mathrm{\η}}_c-\frac{q_d}{{\mathrm{\η}}_d})\mathrm{\δ}t---\left(25\right)$

In formula, w₀、w₁Represent the energy that heat accumulation before and after energy storage or exoergic or gas storage equipment are stored, q respectively_c、q_dRepresent storage respectively Energy equipment storage or the energy of release, η_c、η_dRepresent energy storage, the efficiency of exoergic respectively, for ensureing the stable operation of energy storage device, Need to meet following constraints:

w_min≤w≤w_max(26)

0≤q_c≤q_c,max(27)

0≤q_d≤q_d,max(28)

In formula, w_max、w_minIt is respectively maximum and the minima of storage energy, q_c,max、q_d,maxIt is respectively energy storage and exoergic Big value；

(5) miniature gas turbine model

By miniature gas turbine, the energy of natural gas is converted into electric energy and heat energy, miniature gas turbine operationally, need to be expired Determine in full amount the conditions such as power constraint, the constraint of climbing rate,

$0\≤p_{in}^{mt}\≤p_{rated}^{mt}---\left(29\right)$

${\mathrm{\δp}}_{\min }^{mt}\≤{\mathrm{\δp}}^{mt}\≤{\mathrm{\δp}}_{\max }^{mt}---\left(30\right)$

In formula,Represent input power and the rated power of miniature gas turbine, △ p respectively^mtRepresent micro-gas-turbine Machine input power variable quantity,Represent lower limit and the upper limit of miniature gas turbine climbing rate respectively；

(6) gas boiler or boilers heated electrically

By gas boiler or boilers heated electrically, natural gas energy or electric energy are converted into heat energy, gas boiler or boilers heated electrically are running When, rated power constraint, the constraint of climbing rate need to be met,

0≤p_in≤p_rated(31)

△p_min≤△p≤△p_max(32)

In formula, p_inRepresent the input power of gas boiler or boilers heated electrically, p_ratedRepresent the rated power of gas boiler or boilers heated electrically, △ p represents gas boiler or boilers heated electrically input power variable quantity, △ p_max、△p_minRepresent gas boiler or boilers heated electrically climbing respectively The bound of rate；

(7) electricity turns gas model

Gas equipment is turned by electricity, converts electrical energy into natural gas:

$p_{p2g}^g={\mathrm{\η}}_{p2g}{p}_{p2g}---\left(33\right)$

In formula, p_p2gRepresent that electricity turns the input power of gas equipment, η_p2gRepresent that electricity turns the efficiency of gas equipment,Represent that electricity turns gas and sets The energy of the natural gas of standby output.

Electricity turns gas equipment and is mainly constrained by rated power:

$0\≤p_{p2g}\≤p_{p2g}^{rated}---\left(34\right)$

In formula,Represent that electricity turns the rated power of gas equipment；

(8) translatable load

Translatable load is according to electricity price, from electricity price peak, load to be transferred to electricity price to underestimate period, or the undulatory property according to blower fan Or the undulatory property of load is controlled to translatable load, with air-conditioning, the civilian unproductive load of water heater as Typical Representative, about Shu Wei:

∑p_in,t=∑ p_out,t(35)

$0\≤p_{out,t}\≤p_{out}^{\max }---\left(36\right)$

$0\≤p_{in,t}\≤p_{in}^{\max }---\left(37\right)$

In formula, p_in,t、p_out,tIt is respectively the load that t is transferred out of and is transferred to,It is respectively t to be transferred out of Maximum with the load being transferred to.