CN103207564A - Sliding-mode variable-structure model-based method and system for energy-saving composite analysis for buildings - Google Patents

Abstract

The invention relates to the energy-saving field of buildings, in particular to a sliding-mode variable-structure model-based method and system for energy-saving composite analysis for buildings. The method particularly comprises the steps of obtaining a simplified mathematical model of a heated region; and designing a temperature analysis system based on the sliding-mode variable-structure model. In the method, inputs are the detected room temperature Tr and the building wall temperature Tb, and the temperature setting value output is heat, that is, the heat input Qh which ought to be output by a heating system. A room temperature obtaining system, a building wall temperature obtaining system and a temperature setting system input acquired or set temperatures to a building energy-saving composite analysis module, the building energy-saving composite analysis module outputs heat ought to be output by the heating system to a heating control system, and the heating control system controls output heat. According to the sliding-mode variable-structure model-based method and system for energy-saving composite analysis for buildings, the heat, that is, the heat input Qh which ought to be output by the heating system is derived, and heat supplying of buildings is controlled reasonably, accordingly, the energy-saving purpose is achieved.

Description

Building energy-saving multiple analysis method and system based on the sliding moding structure model

Technical field

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

Background technology

Along with the development rapidly of human society various aspects, whole world energy shortage increasingly sharpens, and power saving has been subjected to the common concern of countries in the world.Building is with the energy rich and influential family, only there is nearly 30% energy resource consumption in the whole world on buildings, and especially in China, building energy consumption has surpassed the national energy 1/4 of the total amount that disappears, and be and increase progressively trend, thereby 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 in this regard effectively energy savings be an important topic of research.

Summary of the invention

The present invention is exactly at the buildings heating system, has designed a building energy-saving multiple analysis system based on the sliding moding structure model, rationally arranges the supply of buildings heat, thereby reaches energy-conservation purpose.

Technical scheme of the present invention is as follows:

A kind of building energy-saving multiple analysis method based on the 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, become rule in the time of obtaining therrmodynamic system structuring and mobilism, thereby obtain being heated the simplification mathematical model in zone, as shown in the formula:

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

In the formula, T _rBe room temperature, T _bBe building masonry wall temperature, Q _hBe heat input, τ ₁=C _bR ₂, C _bBe room unit hot melt, R ₁Be inner wire resistance hot in nature, R ₂Be outer lines resistance hot in nature, R ₁, R ₂Can determine according to construction material;

1.2 design the temperature analysis system based on sliding moding structure:

1) sliding-mode surface design

The selection mode variable

The representation temperature error,

Namely obtain following equation

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

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

2) ask for control law

In order to guarantee the sliding formwork accessibility, adopt index convergence 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

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

The control rate of deriving below:

With S=cx ₁+ x ₂Bring following formula (3) into, can get

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-\mathrm{kce}-k\stackrel{\&CenterDot;}{e}---\left(4\right)$

$=-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T}_r^{*}+\mathrm{kc}{T}_r$

By (1) Shi Kede

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

(5) formula (4) formula of bringing into is got

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T}_r^{*}+\mathrm{kc}{\{\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="DEST\_PATH\_HDA00003178718000012.png"\; state="\{\{state\}\}">R</figure-callout>}}_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+(R_1+R_2)Q_h+T_b\}---\left(6\right)$

Thereby obtain the expression formula of output u

$u=Q_h=\{\stackrel{\&CenterDot;}{S}+\mathrm{\&epsiv;signS}+k\stackrel{\&CenterDot;}{e}+\mathrm{kc}{T}_r^{*}-\mathrm{kc}({\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="DEST\_PATH\_HDA00003178718000012.png"\; state="\{\{state\}\}">R</figure-callout>}}_1\frac{{\mathrm{dQ}}_h}{\mathrm{dt}}-{\mathrm{\&tau;}}_1\frac{{\mathrm{dT}}_r}{\mathrm{dt}}+T_b)\}/(R_1+R_2)---\left(7\right)$

Can get its parametrization

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

In the said method, input quantity is detected room temperature T _r, the building masonry wall temperature T _bAnd desired temperature

Output quantity is the heat that heating system should be exported, i.e. heat input value Q _h

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

Described room temperature is obtained the temperature that system, building masonry wall temperature obtain system, the temperature initialization system is gathered respectively or set and is inputed to building energy-saving multiple analysis module, the heat that building energy-saving multiple analysis module output heating system should be exported is to the control system that heats, and the heating control system is carried out the control of quantity of heat given up.

Beneficial effect of the present invention is: method of the present invention only need be imported room temperature T _r, the building masonry wall temperature T _bAnd desired temperature

Can differentiate go out the heat that heating system should be exported, i.e. heat input value Q _h, rationally arrange the supply of buildings heat, thereby reach energy-conservation purpose.

Description of drawings

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.

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

Embodiment

Be that we simply contrast introduction to a system in the middle of actual below:

For feasibility and the advantage of verifying our designed system, we meet analytic system with the building energy-saving based on the sliding moding structure model of common air conditioner energy-saving system and we design and compare.Use in the rooms of buildings of common air-conditioning energy conserving system, our detected room temperature is with 23.2 ℃ of stationary values, about 1.3 ℃ of amplitude, in about 50 minutes of cycle, we simulate actual indoor room variation of temperature sine wave very little with amplitude, that the cycle is very big.And we will measure a plurality of sensors of body of wall temperature and average, and record the body of wall temperature basically with 7.6 ℃ of stationary values, 0.8 degree centigrade of amplitude, about 65 minutes of cycle.When we join in the system 23.3 ℃ of the room temperature stationary values that we record, about 0.7 ℃ of amplitude, about 45 minutes of cycle based on sliding moding structure model analysis algorithm.And body of wall temperature stabilization value approximately is 7.6 ℃, about 0.5 ℃ of amplitude, about 58 minutes of cycle.We can see that the amplitude of temperature variation obviously reduces, and have reached our control expectation.It mainly is because the scope of temperature fluctuation has reduced that cycle is compared the reason that reduces, and this to we control expectation without any influence.

Contrasting below, room temperature changes:

The room transformation temperature figure of conventional system as shown in Figure 3; The room transformation temperature figure that meets analytic system based on the building energy-saving of sliding moding structure model as shown in Figure 4.As seen, system of the present invention can rationally arrange the supply of buildings heat, thereby reaches energy-conservation purpose.

Claims (2)

1. building energy-saving multiple analysis method based on the 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, become rule in the time of obtaining therrmodynamic system structuring and mobilism, thereby obtain being heated the simplification mathematical model in zone, 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 the formula, T _rBe room temperature, T _bBe building masonry wall temperature, Q _hBe heat input, τ ₁=C _bR ₂, C _bBe room unit hot melt, R ₁Be inner wire resistance hot in nature, R ₂Be outer lines resistance hot in nature, R ₁, R ₂Can determine according to construction material;

1.2 design the temperature analysis system based on sliding moding structure:

1) sliding-mode surface design

The selection mode variable The representation temperature error,

Namely obtain following equation

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

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

2) ask for control law

In order to guarantee the sliding formwork accessibility, adopt index convergence rule, as shown in the formula

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-\mathrm{kS},\mathrm{\&epsiv;}>0,k>0---\left(3\right)$

Wherein sign is a sign function, is defined as follows

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

The control rate of deriving below:

With S=cx ₁+ x ₂Bring following formula (3) into, can get

$\stackrel{\&CenterDot;}{S}=-\mathrm{\&epsiv;signS}-\mathrm{kce}-k\stackrel{\&CenterDot;}{e}---\left(4\right)$

$=-\mathrm{\&epsiv;signS}-k\stackrel{\&CenterDot;}{e}-\mathrm{kc}{T}_r^{*}+\mathrm{kc}{T}_r$

By (1) Shi Kede

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

(5) formula (4) formula of bringing into is got

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

Thereby obtain the expression formula of output u

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

Can get its parametrization

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

In the said method, input quantity is detected room temperature T _r, the building masonry wall temperature T _bAnd desired temperature

Output quantity is the heat that heating system should be exported, i.e. heat input value Q _h

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

Described room temperature is obtained the temperature that system, building masonry wall temperature obtain system, the temperature initialization system is gathered respectively or set and is inputed to building energy-saving multiple analysis module, the heat that building energy-saving multiple analysis module output heating system should be exported is to the control system that heats, and the heating control system is carried out the control of quantity of heat given up.

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