%%?Nonlinear?State?Estimation?of?a?Degrading?Battery?System
%
%?This?example?shows?how?to?estimate?the?states?of?a?nonlinear?system?using
%?an?Unscented?Kalman?Filter?in?Simulink（TM）.?The?example?also?illustrates
%?how?to?develop?an?event-based?Kalman?Filter?to?update?system?parameters
%?for?more?accurate?state?estimation.?This?example?also?requires
%?Simscape（TM）?and?Stateflow（R）.

%?Copyright?2016-2017?The?MathWorks?Inc.

%%?Overview
%?Consider?a?battery?model?with?the?following?equivalent?circuit?[1]
%
%?<<../batteryEquivalentCircuit.jpg>>?
%
%?The?model?consists?of?a?voltage?source?$E_m$?a?series?resistor?$R_0$?and
%?a?single?RC?block?with?components?$R_1$?and?$C_1$.?The?battery?alternates
%?between?charging?and?discharging?cycles.?In?this?example?you?estimate
%?the?state?of?charge?（SOC）?of?the?battery?model?using?measured?currents
%?voltages?and?temperature?of?the?battery.?You?assume?the?battery?is?a
%?nonlinear?system?and?estimate?the?SOC?using?an?Unscented?Kalman?Filter.
%?The?capacity?of?the?battery?degrades?with?every?discharge-charge?cycle
%?giving?an?inaccurate?SOC?estimation.?You?use?an?event-based?linear?Kalman
%?filter?to?estimate?the?battery?capacity?when?the?battery?transitions
%?between?charging?and?discharging.?You?then?use?the?estimated?capacity?to
%?indicate?the?health?condition?of?the?battery.

%%
%?The?Simulink?model?contains?three?major?components:?a?battery?model
%?an?Unscented?Kalman?Filter?block?and?an?event-based?Kalman?Filter?block.
open_system（‘BatteryExampleUKF/‘）

%%?Battery?Model
%?The?battery?model?with?thermal?effect?is?implemented?using?Simscape?software.
%
%?<<../batteryMdl.jpg>>?

%%
%?The?state?transition?equations?for?the?battery?model?are?given?by:
%?
%?$$?\fracjoctbks{dt}?\left（?
%?\begin{array}{cc}?
%???SOC?\\?
%???U_{1}?
%?\end{array}?\right）?=?\left（
%?\begin{array}{cc}?
%???0?\\?
%???-\frac{1}{R_1（SOCT_b）*C_1（SOCT_b）}U_1?
%?\end{array}?\right）?+?\left（
%?\begin{array}{cc}?
%???-\frac{1}{3600*C_q}?\\?
%???\frac{1}{C_1（SOCT_b）}\end{array}?\right）I?
%?+?W
%?$$
%?
%?where?$R_1（SOCT_b）$?and?$C_1（SOCT_b）$?are?the?thermal?and?SOC-dependent
%?resistor?and?capacitor?in?the?RC?block?$$?U_1?$$?is?the?voltage?across
%?capacitor?$C_1$?$I$?is?the?input?current?$T_b$?is?the?battery
%?temperature?$C_q$?is?the?battery?capacity?（unit:?Ah）?and?$W$?is
%?the?process?noise.
%?
%?The?input?currents?are?randomly?generated?pulses?when?the?battery?is?discharging?and
%?constant?when?the?battery?is?charging.
%
%?<<../batteryDischargeChargeCurve.jpg>>

%%
%?The?measurement?equation?is?given?by:
%
%?$$?\begin{array}?{ll}
%?E?=?E_m（SOCT_b）?-?U_1?-?IR_0（SOCT_b）?+?V
%?\end{array}?$$
%
%?where?$E$?is?the?measured?output?voltage?$R_0（SOCT_b）$?is?the?serial
%?resistor?$E_m?=?E_m（SOCT_b）$?is?the?electromotive?force?from?voltage
%?source?and?$V$?is?the?measurement?noise.
%
%?In?the?model?$R_0?R_1?C_1$?and?$E_m$?are?2D?look-up?tables?that?are
%?dependent?on?SOC?and?battery?temperature.?The?parameters?in?the?look-up
%

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件???????20961??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\batteryDischargeChargeCurve.jpg
?????文件???????11498??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\batteryEquivalentCircuit.jpg
?????文件???????55270??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\BatteryExampleUKF.slx
?????文件???????63469??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\batteryMdl.jpg
?????文件????????1977??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\BatteryParameters.mat
?????文件???????86184??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\blockParametersUKF.jpg
?????文件??????107450??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\blockSettingKF.jpg
?????文件????????1981??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\C_table.ssc
?????文件????????2466??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\Em_table.ssc
?????文件???????48444??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\measurementEqn.jpg
?????文件???????15606??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\NonlinearStateEstimationOfADegradingBatterySystemExample.m
?????文件????????1772??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\R_table.ssc
?????文件???????46203??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\stateEqn.jpg
?????文件?????????140??2020-07-29?09:37??NonlinearStateEstimationOfADegradingBatterySystemExample\說明.txt