1. Field of the Invention
The present invention relates to a method for controlling an induction heating system of a cooktop provided with an induction coil, particularly for controlling it in connection with a predetermined working condition.
More specifically the invention relates to a method to estimate the temperature of a cooking utensil placed on the cooktop and the temperature of the food contained therein, as well as the food mass.
2. Description of the Related Art
With the term “heating system” we mean not only the induction coil, the driving circuit thereof and the glass ceramic plate or the like on which the cooking utensil is placed, but also the cooking utensil itself, the food content thereof and any element of the system. As a matter of fact in the induction heating systems it is almost impossible to make a distinction between the heating element, on one side, and the cooking utensil, on the other side, since the cooking utensil itself is an active part of the heating process.
The increasing need of cooktops performance in food preparation is reflected in the way technology is changing in order to meet customer's requirements.
Technical solutions related to the evaluation of the cooking utensil or “pot” temperature derivative are known from EP-A-1732357 and EP-A-1420613, but none discloses a quantitative estimation of the pot temperature
Information are available in scientific literature about algorithms concerning state estimation (Recursive Least Square, Kalman Filter, Extended Kalman Filter [EKF], etc.); none of them relates to an industrial application focused on induction cooking appliances.
It is an object of the present invention to provide a method according to which the temperature of the pot and/or of the food contained therein can be assessed in a reliable way, particularly with reference to a heating condition in which the temperature has to be kept substantially constant (boiling condition or the like).
The control method according to the present invention is used for estimating the temperature of a pot, pan or griddle (in the following indicated simply as “pot”), used onto the induction cooktop, food thermodynamics state inside the pot (mass and temperature/enthalpy/entropy/internal energy/etc.) and induction coil temperature by the knowledge of an estimation of the power absorbed by the device and at least one temperature information (glass, coil, pot, etc.)
It is worth pointing out that the estimated power can be measured, assumed equal to a predetermined reference, or estimated by one ore more electrical measurements.
In general, the estimation reliability (roughly such reliability could be assumed a function of the difference between the actual value and the estimated value) gets better and better as the number of measured temperatures increases.
The estimated pot temperature can be used e.g. to monitor or control said temperature; the estimated food temperature can be used e.g. to monitor or control the temperature or the cooking phase (as boil detection, boil control, particularly in case the food is water or a similar liquid). The estimated food mass could be used e.g. to monitor or control the cooking phase. The estimated coil temperature could be used e.g. to prevent damages.
Another aspect of the method according to the invention is to compensate different noise factors affecting the evaluation of the pot temperature or of the food contained therein, and of its mass as well. Some noise factors that can affect such estimation are for example the initial pot/food temperature and initial food mass, the voltage fluctuation of the electrical grid, the tolerances/drift of the components, the use of different pots and the possible movements of the pot from its original position.
Further features and advantages according to the present invention will become clear from the following detailed description with reference to the annexed drawings in which:
With reference to
One (or more) temperature measurement T1(t) is carried out. Such temperature may be the temperature of the glass ceramic surface (as indicated by reference T_glass in
A mathematical model, based on an overall thermal balance of the system, provides at least an estimation of the temperature (or temperatures) {circumflex over (T)}1(t),{circumflex over (T)}2(t), {circumflex over (T)}3(t), . . . of the same element for which temperature has been measured by using the power estimation; the model can also provide estimation of other state variable (enthalpy, entropy, internal energy, etc.)
Any kind of algorithm that tunes on-line the mathematical model in function of the difference between estimated and measured temperature can be used according to the present invention.
The on-line tuning of the model represents a way to compensate the initial state uncertainty—i.e. if the model is based on differential equations, the initial state of the solution is required but it could be unknown; measurement errors (measurement are usually affected by noises); model uncertainties (i.e. each model is a simplified representation of the reality and so it is always affected by “model uncertainties”).
The ability to compensate this kind of uncertainties and errors comes from a model based approach that combines the model and the tuning thereof by a feedback on the difference between prediction and measures. Many algorithms are available in literature to fix these kinds of problems (Recursive Least Square, Kalman Filter, Extended Kalman Filter [EKF] etc.).
By following the above general approach, a possible example of implementation of the method in case the pot content is water is shown in
The power absorbed at the coil {circumflex over (P)}(t) by the user requirement is estimated (we assume {circumflex over (P)}(t)=const.); the temperature of the glass and the coil Tglass(t), Tcoil(t) are measured; the simplified mathematical model described by the following differential equations is used; in order to complete the method proposed in this example, the EKF method is used as on-line tuning algorithm.
The equations of the model proposed for this example are as follows:
where:
CCOIL→Equivalent thermal capacity of the Coil;
CGLASS→Equivalent thermal capacity of the Glass;
CPOT→Equivalent thermal capacity of the Pot;
cW→water specific thermal capacity;
TCOIL→Coil temperature;
TGLASS→Glass temperature;
TPOT→Pot temperature;
Twater→Water temperature;
mwater→water mass;
P→Total active power absorbed at the coil;
hCA→heat transfer coefficient coil to air multiplied by the relative surface;
hGA→heat transfer coefficient glass to air multiplied by the relative surface;
hPA→heat transfer coefficient pot to air multiplied by the relative surface;
hWA→heat transfer coefficient water to air multiplied by the relative surface;
hGC→heat transfer coefficient glass to coil multiplied by the relative surface;
hPG→heat transfer coefficient pot to glass multiplied by the relative surface;
hPW→heat transfer coefficient pot to water multiplied by the relative surface;
PTV(TW)→surface tension at temperature TW;
λ(Pest)→water evaporation latent heat at the pressure Pest
Hvs(Pest)→saturated vapor enthalpy at the pressure Pest;
σ(k)→sigmoid function.
This example of model provides an estimation of different temperatures of interest (in this case Tcoil(t), Tglass(t), Tpot(t), Twater(t)), at least one of which must be measurable (Tcoil(t), Tglass(t)), the estimation of the water mass ({circumflex over (m)}water(t)) and uses the estimated power absorbed at the coil ({circumflex over (P)}(t)). The same results can be achieved by using just another temperature measured in other places.
Hence, according to the above example, the general sketch of
For the experimental set-up the applicant has chosen:
1 [kg] of water at 21 [°]→Twater(t=0)=21[°]
Pot at 21 [°]→TPOT(t=0)=21[°]
The initial conditions used by the applicant (in the model) to test the method are as follows:
In the above initial conditions the applicant has split up in 2 parts:
The values have been chosen with the aim to show the capability of the proposed method to compensate the difference between the initial conditions and the actual temperature and water mass of the system at the beginning of the process.
Results of the algorithm are showed in
The present invention can be used to improve the performances of an induction cooktop, to provide more information about the status of the cooking phase and to enable new product features. In particular the main benefits are:
Even if the control method according to the present invention is primarily for applications on cooktops or the like, it can be used also in induction ovens as well.
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