CN103207564B - Based on building energy-saving compounding analysis method and the system of sliding moding structure model - Google Patents

Abstract

The present invention relates to building energy-saving field, particularly relate to a kind of building energy-saving compounding analysis method based on sliding moding structure model and system.Described method specifically comprises 1, by the simplification mathematical model of heating region; 2, the temperature analysis system based on sliding moding structure is designed; Finally obtain in said method, input quantity is the room temperature T detected _r, building wall temperature T _band desired temperature output quantity is the heat that heating system should export, i.e. heat input value Q _h; Described room temperature acquisition system, the temperature that building wall temperature obtains system, temperature initialization system gathers respectively or sets input to building energy-saving multiple analysis module, the heat that building energy-saving multiple analysis module output heating system should export is to heating control system, and heating control system carries out the control of quantity of heat given up.Method differentiate of the present invention goes out the heat that heating system should export, i.e. heat input value Q _h, rationally arrange buildings heat supply and reach energy-conservation object.

Description

Based on building energy-saving compounding analysis method and the system of sliding moding structure model

Technical field

The present invention relates to building energy-saving field, particularly relate to a kind of building energy-saving compounding analysis method based on sliding moding structure model and system.

Background technology

Along with the development rapidly of human society various aspects, worldwide energy shortage increasingly sharpens, and power saving has been subject to the common concern of countries in the world.Building is with energy rich and influential family, only there is the energy resource consumption of nearly 30% in the whole world on buildings, and especially in China, building energy consumption has exceeded the national energy and to have disappeared 1/4 of total amount, and in increasing trend, thus building energy conservation has become a basic trend of world architecture development in recent years.For buildings heating is one of energy resource consumption very broad aspect, how economize energy is an important topic of research effectively in this regard.

Summary of the invention

The present invention is exactly for buildings heating system, devises a building energy-saving multiple analysis system based on sliding moding structure model, rationally domination buildings heat supply, thus reaches energy-conservation object.

Technical scheme of the present invention is as follows:

Based on a building energy-saving compounding analysis method for sliding moding structure model, described method is specific as follows:

1.1, according to the consistance of the first law of thermodynamics and this law and actual temperature measuring system, can obtain therrmodynamic system structuring and mobilism temporal behavior, thus obtain by the simplification mathematical model of heating region, as shown in the formula:

${\mathrm{\τ}}_1\frac{d{T}_r}{\mathrm{dt}}+T_r={\mathrm{\τ}}_1{R}_1\frac{d{Q}_h}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b---\left(1\right)$

In formula, T _rfor room temperature, T _bfor building wall temperature, Q _hfor heat input, τ ₁=C _br ₂, C _bfor room unit hot melt, R ₁for inner linear thermal resistance, R ₂for external linear thermal resistance, R ₁, R ₂can determine according to construction material;

1.2 designs are based on the temperature analysis system of sliding moding structure:

1) sliding-mode surface design

Selection mode variable x ₁=e=T _r ^*-T _rrepresentation temperature error, namely following equation is obtained

$\left\{\begin{array}{c}{x}_1=e={T_r}^{*}-T_r\\ x_2=\stackrel{\·}{e}={{\stackrel{\·}{T}}_r}^{*}-{\stackrel{\·}{T}}_r\end{array}\right.---\left(2\right)$

Definition switching function S=cx ₁+ x ₂, wherein c>0;

2) control law is asked for

In order to ensure sliding formwork accessibility, adopt exponentially approaching rule, as shown in the formula

$\stackrel{\·}{S}=-\mathrm{\ϵsignS}-\mathrm{kS},\mathrm{\ϵ}>0,k>0---\left(3\right)$

Wherein sign is a sign function, is defined as follows

$\mathrm{signS}=\left\{\begin{array}{cc}1& S>0\\ -1& S<0\end{array}\right.$

To derive below control rate:

By S=cx ₁+ x ₂bring above formula (3) into, can obtain

$\begin{array}{c}\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-\mathrm{kce}-k\stackrel{\&CenterDot;}{e}\\ =-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T_r}^{*}+\mathrm{kc}{T}_r\end{array}---\left(4\right)$

By (1) Shi Ke get

$T_r=R_1\frac{d{Q}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{d{T}_r}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b---\left(5\right)$

By (5) formula, (4) formula of bringing into obtains

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T_r}^{*}+\mathrm{kc}\{R_1\frac{d{Q}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{d{T}_r}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b\}---\left(6\right)$

Thus obtain the expression formula exporting u

$u=Q_h=\{\stackrel{\&CenterDot;}{S}+\mathrm{\&epsiv;signS}+k\stackrel{\&CenterDot;}{e}+\mathrm{kc}{T_r}^{*}-\mathrm{kc}(R_1\frac{d{Q}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{d{T}_r}{\mathrm{dt}}+T_b)\}/(R_1+R_2)---\left(7\right)$

Can obtain its parametrization

$u=Q_h=A\stackrel{\&CenterDot;}{S}+\mathrm{BsignS}+C\stackrel{\&CenterDot;}{e}+D{T_r}^{*}+E\frac{d{Q}_h}{\mathrm{dt}}+F\frac{d{T}_r}{\mathrm{dt}}-G{T}_b---\left(8\right)$

In said method, input quantity is the room temperature T detected _r, building wall temperature T _band desired temperature T _r ^*, output quantity is the heat that heating system should export, i.e. heat input value Q _h.

Based on the building energy-saving control system of said method, described system comprises: room temperature obtains system, building wall temperature obtains system, temperature initialization system, building energy-saving multiple analysis module and heating control system, it is characterized in that:

Described room temperature acquisition system, the temperature that building wall temperature obtains system, temperature initialization system gathers respectively or sets input to building energy-saving multiple analysis module, the heat that building energy-saving multiple analysis module output heating system should export is to heating control system, and heating control system carries out the control of quantity of heat given up.

Beneficial effect of the present invention is: method of the present invention only need input room temperature T _r, building wall temperature T _band desired temperature T _r ^*, differentiate can go out the heat that heating system should export, i.e. heat input value Q _h, rationally domination buildings heat supply, thus reach energy-conservation object.

Accompanying drawing explanation

Fig. 1 is system chart of the present invention.

Fig. 2 is based on the building energy-saving multiple analysis system chart of sliding moding structure model.

Fig. 3 is the room transformation temperature figure of conventional system.

Fig. 4 is the room transformation temperature figure meeting analytic system based on the building energy-saving of sliding moding structure model.

Embodiment

Here is that we simply contrast introduction to the system of in the middle of reality:

In order to verify feasibility and the advantage of our designed system, the building energy-saving based on sliding moding structure model that common air conditioner energy-saving system and we design is met analytic system and contrasts by us.In the rooms of buildings of application common air-conditioning energy conserving system, the room temperature that we detect is with stationary value 23.2 DEG C, about 1.3 DEG C of amplitude, in about 50 minutes of cycle, we simulate the sine wave that change is very little with amplitude, the cycle is very large of actual indoor room temperature.And the multiple sensors measuring body of wall temperature are averaged by we, record body of wall temperature substantially with stationary value 7.6 DEG C, amplitude 0.8 degree Celsius, about 65 minutes of cycle.When we are joining in system based on sliding moding structure model analysis algorithm, the room temperature stationary value that we record 23.3 DEG C, about 0.7 DEG C of amplitude, about 45 minutes of cycle.And body of wall temperature stabilization value is approximately 7.6 DEG C, about 0.5 DEG C of amplitude, about 58 minutes of cycle.We can see, the amplitude of temperature variation obviously reduces, and the control reaching us is expected.The reason that cycle compares reduction mainly because the scope of temperature fluctuation reduces, and this on we control to expect without any impact.

Contrast room temperature change below:

The room transformation temperature figure of conventional system as shown in Figure 3; Building energy-saving based on sliding moding structure model meets the room transformation temperature figure of analytic system as shown in Figure 4.Visible, present system rationally can arrange the supply of buildings heat, thus reaches energy-conservation object.

Claims (2)

1., based on a building energy-saving compounding analysis method for sliding moding structure model, described method is specific as follows:

1.1, according to the consistance of the first law of thermodynamics and this law and actual temperature measuring system, can obtain therrmodynamic system structuring and mobilism temporal behavior, thus obtain by the simplification mathematical model of heating region, as shown in the formula:

${\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+T_r={\mathrm{\&tau;}}_1{R}_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b---\left(1\right)$

In formula, T _rfor room temperature, T _bfor building wall temperature, Q _hfor heat input, τ ₁=C _br ₂, C _bfor room unit hot melt, R ₁for inner linear thermal resistance, R ₂for external linear thermal resistance, R ₁, R ₂can determine according to construction material;

1.2 designs are based on the temperature analysis system of sliding moding structure:

1) sliding-mode surface design

Selection mode variable representation temperature error, namely following equation is obtained

$\left\{\begin{array}{c}{x}_1=e={T_r}^{*}-T_r\\ x_2=\stackrel{\&CenterDot;}{e}={{\stackrel{\&CenterDot;}{T}}_r}^{*}-{\stackrel{\&CenterDot;}{T}}_r\end{array}\right.---\left(2\right)$

Definition switching function S=cx ₁+ x ₂, wherein c>0;

2) control law is asked for

In order to ensure sliding formwork accessibility, adopt exponentially approaching rule, as shown in the formula

$\begin{array}{cc}\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;}\sin \mathrm{gS}-\mathrm{kS}& \mathrm{\&epsiv;}>0,k>0---\left(3\right)\end{array}$

Wherein sign is a sign function, is defined as follows

$\mathrm{signS}\left\{\begin{array}{cc}1& S>0\\ -1& S<0\end{array}\right.$

To derive below control rate:

By S=cx ₁+ x ₂bring above formula (3) into, can obtain

$\begin{array}{c}\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-\mathrm{kce}-k\stackrel{\&CenterDot;}{e}\\ =-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T_r}^{*}+{\mathrm{kcT}}_r\end{array}---\left(4\right)$

By (1) Shi Ke get

$T_r=R_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b---\left(5\right)$

By (5) formula, (4) formula of bringing into obtains

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-{{\mathrm{kcT}}_r}^{*}+\mathrm{kc}\{R_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b\}---\left(6\right)$

Thus obtain the expression formula exporting u

$u=Q_h=\{\stackrel{\&CenterDot;}{S}+\mathrm{\&epsiv;signS}+k\stackrel{\&CenterDot;}{e}+{{\mathrm{kcT}}_r}^{*}-\mathrm{kc}(R_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+T_b)\}/(R_1+R_2)---\left(7\right)$

Can obtain its parametrization

$u=Q_h=A\stackrel{\&CenterDot;}{S}+\mathrm{BsignS}+C\stackrel{\&CenterDot;}{e}+{\mathrm{DT}}_r^{*}+E\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}+F\frac{{\mathrm{dT}}_r}{\mathrm{dt}}F\frac{{\mathrm{dT}}_r}{\mathrm{dt}}-{\mathrm{GT}}_b---\left(8\right)$

Described $A=\frac{1}{R_1+R_2};B=\frac{\mathrm{\&epsiv;}}{R_1+R_2};C=\frac{k}{R_1+R_2};D=\frac{\mathrm{kc}}{R_1+R_2};E=\frac{{-\mathrm{kcR}}_1}{R_1+R_2};$ $F=\frac{{\mathrm{kc\&tau;}}_1}{R_1+R_2};G=\frac{\mathrm{kc}}{R_1+R_2};$

In said method, input quantity is the room temperature T detected _r, building wall temperature T _band desired temperature T _r ^*, output quantity is the heat that heating system should export, i.e. heat input value Q _h.

2. based on the building energy-saving control system of method described in claim 1, described system comprises: room temperature obtains system, building wall temperature obtains system, temperature initialization system, building energy-saving multiple analysis module and heating control system, it is characterized in that:

Described room temperature acquisition system, the temperature that building wall temperature obtains system, temperature initialization system gathers respectively or sets input to building energy-saving multiple analysis module, the heat that building energy-saving multiple analysis module output heating system should export is to heating control system, and heating control system carries out the control of quantity of heat given up.