CN105762821A - Electric energy storage device modeling method for realizing power balance for power system - Google Patents

Abstract

The invention relates to an electric energy storage device modeling method for realizing power balance for a power system, which belongs to the technical field of operation and control of the power system. firstly, modeling is carried out on charging and discharging power of the electric energy storage device and a feature that a charging process and a discharging process can not be carried out simultaneously; then, mathematical modeling is carried out on a relation between upper spinning reserve and lower spinning reserve provided by the electric energy storage device for the power system and the charging and discharging power of the electric energy storage device and a relation between the upper and lower spinning reserve of the electric energy storage device and upper spinning reserve capacity and lower spinning reserve capacity provided by the electric energy storage device for the power system; and finally, an electric energy storage device scheduling model for providing spinning reserve for the power system is obtained. The method solves the problem of scheduling modeling when the electric energy storage device is applied to the power system considering spinning reserve, and a model basis is provided for the scheduling problem when the electric energy storage device is applied to the power system considering spinning reserve.

Description

A kind of electric energy storage device modeling method realizing power balance for power system

Technical field

The present invention relates to a kind of electric energy storage device modeling method realizing power balance for power system, particularly relate to a kind of electric energy storage device modeling method that spinning reserve is provided for power system, belong to Operation of Electric Systems and control technical field.

Background technology

Along with the fast development of energy storage device of in recent years sending a telegram here, electricity energy storage device has great potential in the operation and auxiliary new-energy grid-connected of power system.On Zhangjiakou and other places, State Grid Corporation of China has built " country's wind-light storage transmission demonstration project ", for testing electricity energy storage device effect in Operation of Electric Systems.In the power system of current China, the installed capacity ratio of new forms of energy improves constantly, and the randomness of generation of electricity by new energy and undulatory property bring challenges to the Real-time Balancing of power system generating and load electricity consumption.For ensureing generating and the load coulomb balance of power system, power system needs more spinning reserve to tackle the power swing of generation of electricity by new energy.China's power system spinning reserve is presently mainly and is provided by thermoelectricity generating set, and electricity energy storage device compares thermoelectricity generating set, has the advantages that to regulate fast and flexible.Utilize electricity energy storage device to provide spinning reserve can alleviate randomness and the undulatory property challenge to power system of generation of electricity by new energy to power system, improve power system and receive the ability of new-energy grid-connected.

Energy-storage system is compared with thermoelectricity generating set, and it can not utilize other primary energy to produce electric power.When electricity energy storage device charging, power system is electrical equipment by it；When electricity energy storage device electric discharge, power system is generating equipment by it.So, electricity energy storage device provides the model of spinning reserve and thermoelectricity generating set to have bigger difference.It is therefore desirable to consider the operation characteristic of electricity energy storage device, set up its scheduling model that spinning reserve is provided to power system.

Summary of the invention

The purpose of the present invention is to propose to a kind of electric energy storage device modeling method realizing power balance for power system, for the electric energy storage device scheduling modeling problem providing spinning reserve to power system, consider the feature that the charging and discharging of electricity energy storage device can not carry out simultaneously, calculate the spinning reserve that electricity energy storage device provides to power system under charged state and discharge condition.

The electric energy storage device modeling method realizing power balance for power system that the present invention proposes, comprises the following steps:

(1) logical relation that respectively charge-discharge electric power of power system electricity energy storage device and charging process and discharge process can not be carried out simultaneously is modeled, and detailed process is as follows:

(1-1) set electricity energy storage device moment t state asT=1,2 ...., T, T is the electric power system dispatching time scale set, if electricity energy storage device is in charged state at moment t, thenIf electricity energy storage device is in discharge condition at moment t, then

(1-2) set in model electricity energy storage device moment t charge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of charge power of electricity energy storage device:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

(1-3) set in model electricity energy storage device moment t discharge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of discharge power of electricity energy storage device:

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

(1-4) set in model electricity energy storage device moment t storage energy value asT=1,2 ...., T, T is the scheduling time scale of power system, then the storage energy value of electricity energy storage deviceWith electricity energy storage device charge power in step (1-2)With discharge power in step (1-3)Relation to be expressed as model as follows:

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

Wherein, η_cFor electricity energy storage device charge loss, η_dcFor electricity energy storage device discharge loss, electricity energy storage device self discharge coefficient is γ, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between two adjacent scheduling instance, and value is 1；

(2) upper spinning reserve, lower spinning reserve capacity that upper spinning reserve electricity energy storage device in power system provided for power system, lower spinning reserve and electricity energy storage device provide for power system are modeled, and specifically comprise the following steps that

(2-1) set in power system upper spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to electricity energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe upper spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

(2-2) set in power system lower spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of power system, by manually setting in advance, according to the electric energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe lower spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_t^{ES}{P}_{\max }^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

(2-3) set in power system electricity energy storage device for provide to power system the capacity of upper spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to the upper spinning reserve that electricity energy storage device in step (2-1) provides to power systemWith the electric energy storage device discharge loss η described in above-mentioned steps (1-4)_dc, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

Wherein, γ is electricity energy storage device self discharge coefficient, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between adjacent two scheduling instance, and value is 1；

(2-4) set in power system electricity energy storage device for provide to power system the capacity of lower spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, then the lower spinning reserve that the electric energy storage device according to step (2-2) provides to power systemWith the electric energy storage device charge loss η described in step (1-4)_c, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0;$

(2-5) set electricity energy storage device storage inside energy allow minimum energy value asThe maximum energy value that electricity energy storage device storage inside energy allows isBy electricity energy storage device storage inside energy value when moment t in step (1-4)In step (2-2), electricity energy storage device for providing the capacity of upper spinning reserve to power systemAnd electricity energy storage device is used for providing the capacity of lower spinning reserve to power system in step (2-3)It is as follows that relation between three is expressed as scheduling model:

${\mathrm{SOC}}_{\min }^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh}$

(3) the upper spinning reserve that upper spinning reserve, lower spinning reserve and the electricity energy storage device that the electric energy storage device described in the charge power of electric energy storage device described in summary step (1), discharge power and charging process and discharge process can not carry out simultaneously scheduling model and step (2) provides for power system provides for power system, lower spinning reserve capacity scheduling model, obtain the electric energy storage device scheduling model for power system offer spinning reserve as follows:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_r^{ES}{P}_{\max }^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0$

${\mathrm{SOC}}_{\min }^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh}.$

The electric energy storage device modeling method realizing power balance for power system that the present invention proposes, its advantage is: the relation of its upper and lower spinning reserve and electricity energy storage device charge power, discharge power when this method has taken into full account electric energy storage device for power system offer spinning reserve, there is provided scheduling model during spinning reserve to carry out mathematical modeling for power system electricity energy storage device, be applied to consider that the electric power system dispatching problem of spinning reserve provides model basis future for electricity energy storage device.

Accompanying drawing explanation

Fig. 1 is the FB(flow block) of the electric energy storage device modeling method realizing power balance for power system that the present invention proposes.

Detailed description of the invention

The electric energy storage device modeling method realizing power balance for power system that the present invention proposes, its FB(flow block) is as it is shown in figure 1, comprise the following steps:

(1) logical relation that respectively charge-discharge electric power of power system electricity energy storage device and charging process and discharge process can not be carried out simultaneously is modeled, and detailed process is as follows:

(1-1) set electricity energy storage device moment t state asT=1,2 ...., T, T is the electric power system dispatching time scale set, if electricity energy storage device is in charged state at moment t, thenIf electricity energy storage device is in discharge condition at moment t, then

(1-2) set in model electricity energy storage device moment t charge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of charge power of electricity energy storage device:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

(1-3) set in model electricity energy storage device moment t discharge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of discharge power of electricity energy storage device:

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

(1-4) set in model electricity energy storage device moment t storage energy value asT=1,2 ...., T, T is the scheduling time scale of power system, then the storage energy value of electricity energy storage deviceWith electricity energy storage device charge power in step (1-2)With discharge power in step (1-3)Relation to be expressed as model as follows:

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

Wherein, η_cFor electricity energy storage device charge loss, η_dcFor electricity energy storage device discharge loss, electricity energy storage device self discharge coefficient is γ, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between two adjacent scheduling instance, and value is 1；

(2) upper spinning reserve, lower spinning reserve capacity that upper spinning reserve electricity energy storage device in power system provided for power system, lower spinning reserve and electricity energy storage device provide for power system are modeled, and specifically comprise the following steps that

(2-1) set in power system upper spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to electricity energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe upper spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

(2-2) set in power system lower spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of power system, by manually setting in advance, according to the electric energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe lower spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_t^{ES}{P}_{\max }^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

(2-3) set in power system electricity energy storage device for provide to power system the capacity of upper spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to the upper spinning reserve that electricity energy storage device in step (2-1) provides to power systemWith the electric energy storage device discharge loss η described in above-mentioned steps (1-4)_dc, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

Wherein, γ is electricity energy storage device self discharge coefficient, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between adjacent two scheduling instance, and value is 1；

(2-4) set in power system electricity energy storage device for provide to power system the capacity of lower spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, then the lower spinning reserve that the electric energy storage device according to step (2-2) provides to power systemWith the electric energy storage device charge loss η described in step (1-4)_c, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0;$

(2-5) set electricity energy storage device storage inside energy allow minimum energy value asThe maximum energy value that electricity energy storage device storage inside energy allows isBy electricity energy storage device storage inside energy value when moment t in step (1-4)In step (2-2), electricity energy storage device for providing the capacity of upper spinning reserve to power systemAnd electricity energy storage device is used for providing the capacity of lower spinning reserve to power system in step (2-3)It is as follows that relation between three is expressed as scheduling model:

${\mathrm{SOC}}_{\min }^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh};$

The upper spinning reserve related in this step, lower spinning reserve etc., refer to that power system needs spare capacity, and this is owing to the feature of power industry production and the lack of uniformity of user power utilization determine.The production of electric energy, conveying and consumption almost carry out simultaneously, and electric energy again can not mass storage, and the electricity consumption of user has randomness and lack of uniformity feature, therefore, in order to ensure power system security, reliably, send out power supply continuously, then must be provided with enough spare capacities.When power supply arranges, the installed capacity of configured power supply have to be larger than the requirement of peak load, and both difference is called spare capacity.The kind of spare capacity, divides by its state in which, can be divided into again stand-by heat and cold standby.

Stand-by heat: also known as spinning reserve, refers to that the unit in operating can send out the difference of peak power and current generated output, and it shows as the capacity sum of part of generating units zero load or underrun.

Cold standby: the unit not operated to be called such as belong to and can send out capacity.

Upper spinning reserve and above-mentioned stand-by heat, being mainly used in reply power system electricity shortage is arranged, and lower spinning reserve capacity is the current generated output of unit and most I sends out the difference of power, is mainly used in underload in reply power system and arranges.For electricity energy storage device, upper spinning reserve capacity and lower spinning reserve capacity refer to the energy storage device installed capacity that energy storage device reserves in advance for providing upper spinning reserve and lower spinning reserve.

(3) the upper spinning reserve that upper spinning reserve, lower spinning reserve and the electricity energy storage device that the electric energy storage device described in the charge power of electric energy storage device described in summary step (1), discharge power and charging process and discharge process can not carry out simultaneously scheduling model and step (2) provides for power system provides for power system, lower spinning reserve capacity scheduling model, obtain the electric energy storage device scheduling model for power system offer spinning reserve as follows:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_t^{ES}{P}_{\max }^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0$

${\mathrm{SOC}}_{\min }^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh}.$

Claims (1)

1. the electric energy storage device modeling method realizing power balance for power system, it is characterised in that the method comprises the following steps:

(1) logical relation that respectively charge-discharge electric power of power system electricity energy storage device and charging process and discharge process can not be carried out simultaneously is modeled, and detailed process is as follows:

(1-1) set electricity energy storage device moment t state asT=1,2 ...., T, T is the electric power system dispatching time scale set, if electricity energy storage device is in charged state at moment t, thenIf electricity energy storage device is in discharge condition at moment t, then

(1-2) set in model electricity energy storage device moment t charge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of charge power of electricity energy storage device:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

(1-3) set in model electricity energy storage device moment t discharge power asMaximum charge power isT=1,2 ...., T, then to be expressed as scheduling model as follows for the scope of discharge power of electricity energy storage device:

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

(1-4) set in model electricity energy storage device moment t storage energy value asT=1,2 ...., T, T is the scheduling time scale of power system, then the storage energy value of electricity energy storage deviceWith electricity energy storage device charge power in step (1-2)With discharge power in step (1-3)Relation to be expressed as model as follows:

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

Wherein, η_cFor electricity energy storage device charge loss, η_dcFor electricity energy storage device discharge loss, electricity energy storage device self discharge coefficient is γ, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between two adjacent scheduling instance, and value is 1；

(2) upper spinning reserve, lower spinning reserve capacity that upper spinning reserve electricity energy storage device in power system provided for power system, lower spinning reserve and electricity energy storage device provide for power system are modeled, and specifically comprise the following steps that

(2-1) set in power system upper spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to electricity energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe upper spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

(2-2) set in power system lower spinning reserve that electricity energy storage device provides to power system asT=1,2 ...., T, T is the scheduling time scale of power system, by manually setting in advance, according to the electric energy storage device state in above-mentioned steps (1)Electricity energy storage device charge powerWith electricity energy storage device discharge powerThe lower spinning reserve that electricity energy storage device provides to power systemRange for:

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_t^{ES}{P}_{max}^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

(2-3) set in power system electricity energy storage device for provide to power system the capacity of upper spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, according to the upper spinning reserve that electricity energy storage device in step (2-1) provides to power systemWith the electric energy storage device discharge loss η described in above-mentioned steps (1-4)_dc, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

Wherein, γ is electricity energy storage device self discharge coefficient, and by electricity, energy storage device manufacturer provides, and Δ t is the interval between adjacent two scheduling instance, and value is 1；

(2-4) set in power system electricity energy storage device for provide to power system the capacity of lower spinning reserve asT=1,2 ...., T, T is the scheduling time scale of the power system set, then the lower spinning reserve that the electric energy storage device according to step (2-2) provides to power systemWith the electric energy storage device charge loss η described in step (1-4)_c, then electricity energy storage device for providing the capacity of lower spinning reserve to power systemIt is as follows that scope is expressed as scheduling model:

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0;$

(2-5) set electricity energy storage device storage inside energy allow minimum energy value asThe maximum energy value that electricity energy storage device storage inside energy allows isBy electricity energy storage device storage inside energy value when moment t in step (1-4)In step (2-2), electricity energy storage device for providing the capacity of upper spinning reserve to power systemAnd electricity energy storage device is used for providing the capacity of lower spinning reserve to power system in step (2-3)It is as follows that relation between three is expressed as scheduling model:

${\mathrm{SOC}}_{min}^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh}$

(3) the upper spinning reserve that upper spinning reserve, lower spinning reserve and the electricity energy storage device that the electric energy storage device described in the charge power of electric energy storage device described in summary step (1), discharge power and charging process and discharge process can not carry out simultaneously scheduling model and step (2) provides for power system provides for power system, lower spinning reserve capacity scheduling model, obtain the electric energy storage device scheduling model for power system offer spinning reserve as follows:

$0\≤P_t^{ES,c}\≤P_{max}^{ES,c}\·x_t^{ES}$

$0\≤P_t^{ES,d}\≤P_{max}^{ES,d}\·(1-x_t^{ES})$

$-{\mathrm{\η}}_c\·P_t^{ES,c}\·\mathrm{\Δ}t+\frac{P_t^{ES,d}}{{\mathrm{\η}}_{dc}}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES}=0$

$0\≤{\mathrm{Rh}}_t^{ES}\≤(1-x_t^{ES})P_{\max }^{ES,d}-P_t^{ES,d}+P_t^{ES,c}$

$0\≤{\mathrm{Rl}}_t^{ES}\≤x_t^{ES}{P}_{\max }^{ES,c}-P_t^{ES,c}+P_t^{ES,d}$

$\frac{{\mathrm{Rh}}_t^{ES}}{{\mathrm{\η}}_d}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,reh}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,reh}=0$

$-{\mathrm{\η}}_c\·{\mathrm{Rl}}_t^{ES}\·\mathrm{\Δ}t+{\mathrm{SOC}}_t^{ES,rel}-(1-\mathrm{\γ}){\mathrm{SOC}}_{t-1}^{ES,rel}=0$

${\mathrm{SOC}}_{\min }^{ES}\≤{\mathrm{SOC}}_t^{ES}\≤{\mathrm{SOC}}_{\max }^{ES}-{\mathrm{SOC}}_t^{ES,rel}-{\mathrm{SOC}}_t^{ES,reh}.$