Navier-stokes based indoor climate control

Patent metadata

Field	Value
Publication number	US-2017074535-A1
Application number	US-201515123706-A
Country	US
Kind code	A1
Filing date	Mar 10, 2015
Priority date	Mar 10, 2014
Publication date	Mar 16, 2017
Grant date	—

Abstract

A data processor ( 4 ) is disclosed that can be used in a climate control system ( 1 ) for controlling a climate in an indoor space ( 10 ) or in a design system ( 20 ) for designing such a climate control system. The data processor jointly resolves a set of coupled optimization problems of the following form: Formula (5a) subject to Formula (5b) wherein: Formula (I) is an augmented state-vector comprising a vector Φ specifying the spatial distribution of a climate related variable with respect to a plurality of spatial cells, and a source term q Φ to be resolved, and wherein Formula (II) is the solution found for point in time k+1, Formula (III) being a vector specifying a setpoint specified for said climate related variable at point in time k+1 for at least a part of said plurality of cells, Formula (IV) are boundary conditions relevant for said climate related variable at point in time k, S is a selection matrix, selecting cells for said distribution having a setpoint, O is the zero matrix, I is the identity matrix and Q and R are weighting matrices for tracking and energy consumption, wherein A Φ is a matrix that defines the development of vector Φ as a function of one or more other vectors of climate related variables, wherein B Φ is a matrix that maps the source terms for field Φ to the cell field values affected by those source terms, and wherein the data processor ( 4 ) controls the plurality of said actuators in accordance with the source term q Φ.

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First claim

1 . A data processor, comprising outputs to provide control signals (Ca, . . . , Cna) suitable for control of the indoor climate related variables, wherein said data processor jointly resolves a set of coupled optimization problems of the following form
z Φ k =arg min z Φ ([ S Φ k+1 O]z Φ −{tilde over (Φ)} k+1 ) T Q Φ k ([ S Φ k+1 O]z Φ −{tilde over (Φ)} k+1 )+([ O I]z Φ ) T R Φ k ([ O I]z Φ )
subject to [ A Φ k −B Φ k ]z Φ −b′ Φ k (Φ k ,e Φ k )=0

wherein:

z
Φ

=

[

Φ

q
Φ

]

is an augmented state-vector comprising a vector φ specifying the spatial distribution of a climate related variable with respect to a plurality of spatial cells, and a source term q Φ to be resolved, said source term corresponding to settings for said control signals and wherein

z
Φ
k

=

[

Φ

k
+
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q
Φ
k

]

is the solution found for point in time k, {tilde over (Φ)} k+1 being a vector specifying a setpoint specified for said climate related variable at point in time k+1 for at least a part of said plurality of cells, e Φ k are boundary conditions relevant for said climate related variable at point in time k, S is a selection matrix, selecting cells for said distribution having a setpoint, O is the zero matrix, I is the identity matrix and Q and R are weighting matrices for tracking and energy consumption, and
wherein A φ is a matrix that defines the development of vector φ as a function of one or more other vectors of climate related variables,
wherein B φ is a matrix that maps the source terms for field φ to the cell field values affected by those source terms, and wherein the data processor provides the control signals (Ca, . . . , Cna) in accordance with the source term q Φ .

2 . The data processor according to claim 1 , wherein jointly resolving the set of coupled optimization problems involves the following steps:
An update step, comprising the following sub-steps to be carried out in arbitrary order update (S1u) the air velocity field u and associated source term field q u for a first spatial direction (x) by optimizing the air velocity field u for said direction, update (S1v) the air velocity field v and associated source term field q v for a second spatial direction (y) by optimizing the air velocity field v for said direction, update (S1 w) the air velocity field w and associated source term field q w for a third spatial direction (z) by optimizing the air velocity field z for said direction, update (S1T) the temperature field T and associated source term field q T by optimizing the temperature field T, Calculate (S2) the pressure field (P) Apply a relaxation step (S3), Check for convergence, otherwise repeat the previous steps S1-S3

3 - 7 . (canceled)

8 . A data processing method relating to control of a climate in an indoor space, the data processing method comprising
jointly resolving a set of coupled optimization problems of the following form:
z Φ k =arg min z Φ ([ S Φ k+1 O]z Φ −{tilde over (Φ)} k+1 ) T Q Φ k ([ S Φ k+1 O]z Φ −{tilde over (Φ)} k+1 )+([ O I]z Φ ) T R Φ k ([ O I]z Φ )

subject to [ A Φ k −B Φ k ]z Φ −b′ Φ k (Φ k ,e Φ k )=0

wherein:

z
Φ

=

[

Φ

q
Φ

]

is an augmented state-vector comprising a vector φ specifying the spatial distribution of a climate related variable with respect to a plurality of spatial cells, and a source term q Φ to be resolved, and
wherein

z
Φ
k

=

[

Φ

k
+
1

q
Φ
k

]

is the solution found for point in time k, {tilde over (Φ)} k+1 being a vector specifying a setpoint specified for said climate related variable at point in time k+1 for at least a part of said plurality of cells, e Φ k are boundary conditions relevant for said climate related variable at point in time k, S is a selection matrix, selecting cells for said distribution having a setpoint, O is the zero matrix, I is the identity matrix and Q and R are weighting matrices for tracking and energy consumption, and
wherein A φ is a matrix that defines the development of vector φ as a function of one or more other vectors of climate related variables, and
wherein B φ is a matrix that maps the source terms for field φ to the cell field values affected by those source terms,
the method further comprising providing control signals in accordance with said source terms.

9 . A method according to claim 8 , further comprising
receiving sensory data indicative for sensed values from climate related variables in an indoor space as the data indicative for values of indoor climate related variables, driving a plurality of actuators by said control signals.

10 . The method according to claim 9 , comprising providing the vector {tilde over (Φ)} specifying a setpoint and the boundary conditions e Φ k as constants.

11 . The method according to claim 9 , comprising providing the vector {tilde over (Φ)} specifying a setpoint and/or the boundary conditions e Φ k as variables.

12 . The method

Assignees

• Nederlandse Organisatie Voor Toegepast-Natuurwetenschappelijk Onderzoek Tno

Inventors

• Booij Paul Sebastian

Classifications

• F24F11/46 Primary

  Improving electric energy efficiency or saving · CPC title

• F24F11/63

  Electronic processing · CPC title

• Y02A40/25

  Greenhouse technology, e.g. cooling systems therefor · CPC title

• F24F11/30 Primary

  for purposes related to the operation of the system, e.g. for safety or monitoring · CPC title

• F24F11/006 Primary

  Mechanical Engineering · mapped topic