diff --git a/components/tachart/languages/tachartstrconsts.de.po b/components/tachart/languages/tachartstrconsts.de.po
index 2e417cc14c..483e0d9b92 100644
--- a/components/tachart/languages/tachartstrconsts.de.po
+++ b/components/tachart/languages/tachartstrconsts.de.po
@@ -215,6 +215,10 @@ msgstr "Die Anzahl der Fitparameter kann nicht kleiner als 1 sein."
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "Der Typ des Ausdrucksergebnisses muss integer oder float sein, ist aber \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Math. Funktion (farb-kodiert)"
diff --git a/components/tachart/languages/tachartstrconsts.fi.po b/components/tachart/languages/tachartstrconsts.fi.po
index 971cc2bb5a..6a5e0bcdfa 100644
--- a/components/tachart/languages/tachartstrconsts.fi.po
+++ b/components/tachart/languages/tachartstrconsts.fi.po
@@ -203,6 +203,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr ""
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr ""
diff --git a/components/tachart/languages/tachartstrconsts.fr.po b/components/tachart/languages/tachartstrconsts.fr.po
index b056405a51..b39d566582 100644
--- a/components/tachart/languages/tachartstrconsts.fr.po
+++ b/components/tachart/languages/tachartstrconsts.fr.po
@@ -213,6 +213,10 @@ msgstr "Le nombre de paramètres appropriés ne peut pas être inférieur à 1."
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "Le type de résultat d'expression doit être entier ou flottant. On a obtenu \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Séries de cartes de couleurs d'expressions mathématiques"
diff --git a/components/tachart/languages/tachartstrconsts.hu.po b/components/tachart/languages/tachartstrconsts.hu.po
index f266ccc13a..acfd1b5bd8 100644
--- a/components/tachart/languages/tachartstrconsts.hu.po
+++ b/components/tachart/languages/tachartstrconsts.hu.po
@@ -213,6 +213,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "A kifejezés típusának egész vagy lebegőpontos számnak kell lennie. Most \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Színtérkép matematikai kifejezés alapján"
diff --git a/components/tachart/languages/tachartstrconsts.lt.po b/components/tachart/languages/tachartstrconsts.lt.po
index 3d7b11433e..5ba2e56507 100644
--- a/components/tachart/languages/tachartstrconsts.lt.po
+++ b/components/tachart/languages/tachartstrconsts.lt.po
@@ -214,6 +214,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr ""
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr ""
diff --git a/components/tachart/languages/tachartstrconsts.pl.po b/components/tachart/languages/tachartstrconsts.pl.po
index ec92c22868..aae2fe30f2 100644
--- a/components/tachart/languages/tachartstrconsts.pl.po
+++ b/components/tachart/languages/tachartstrconsts.pl.po
@@ -213,6 +213,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr ""
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr ""
diff --git a/components/tachart/languages/tachartstrconsts.pot b/components/tachart/languages/tachartstrconsts.pot
index 3f02045edf..9b98134a6a 100644
--- a/components/tachart/languages/tachartstrconsts.pot
+++ b/components/tachart/languages/tachartstrconsts.pot
@@ -203,6 +203,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr ""
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr ""
diff --git a/components/tachart/languages/tachartstrconsts.pt_BR.po b/components/tachart/languages/tachartstrconsts.pt_BR.po
index e7d857227d..ab81cd704f 100644
--- a/components/tachart/languages/tachartstrconsts.pt_BR.po
+++ b/components/tachart/languages/tachartstrconsts.pt_BR.po
@@ -213,6 +213,10 @@ msgstr "O número de parâmetros à preencher não pode ser menor que 1."
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "Tipo de resultado da expressão deve ser inteiro ou flutuante. Obtido \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Série Mapa de cor de expressão matemática"
diff --git a/components/tachart/languages/tachartstrconsts.ru.po b/components/tachart/languages/tachartstrconsts.ru.po
index 9f8f774b42..23bed15697 100644
--- a/components/tachart/languages/tachartstrconsts.ru.po
+++ b/components/tachart/languages/tachartstrconsts.ru.po
@@ -213,6 +213,10 @@ msgstr "Независимых переменных не может быть м
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "Тип результата выражения должен быть целым либо вещественным, но сейчас является \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Диаграмма с картой цветов по математическому выражению"
diff --git a/components/tachart/languages/tachartstrconsts.se.po b/components/tachart/languages/tachartstrconsts.se.po
index fe2478c19c..1292975487 100644
--- a/components/tachart/languages/tachartstrconsts.se.po
+++ b/components/tachart/languages/tachartstrconsts.se.po
@@ -216,6 +216,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr ""
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr ""
diff --git a/components/tachart/languages/tachartstrconsts.uk.po b/components/tachart/languages/tachartstrconsts.uk.po
index a92ab908a5..24f04a6b96 100644
--- a/components/tachart/languages/tachartstrconsts.uk.po
+++ b/components/tachart/languages/tachartstrconsts.uk.po
@@ -216,6 +216,10 @@ msgstr "Число параметрів апроксимації не може 
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "Тип значення виразу повинен бути цілим або дійсним. Отримано \"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "Колірна карта"
diff --git a/components/tachart/languages/tachartstrconsts.zh_CN.po b/components/tachart/languages/tachartstrconsts.zh_CN.po
index 77e9e6374d..210a7adfcc 100644
--- a/components/tachart/languages/tachartstrconsts.zh_CN.po
+++ b/components/tachart/languages/tachartstrconsts.zh_CN.po
@@ -214,6 +214,10 @@ msgstr ""
 msgid "Expression result type must be integer or float. Got \"%s\"."
 msgstr "表达式结果类型必须是整型(integer)或浮点型(float).得到\"%s\"."
 
+#: tachartstrconsts.rserrnumericaloverflow
+msgid "Numerical overflow."
+msgstr ""
+
 #: tachartstrconsts.rsexpressioncolormapseries
 msgid "Math expression color map series"
 msgstr "数学表达式彩色图系列"
diff --git a/components/tachart/tachartstrconsts.pas b/components/tachart/tachartstrconsts.pas
index 423405070f..8be98c2a17 100644
--- a/components/tachart/tachartstrconsts.pas
+++ b/components/tachart/tachartstrconsts.pas
@@ -148,6 +148,7 @@ resourcestring
   rsErrFitNoFitParams = 'No fit parameters specified.';
   rsErrFitSingular = 'Fitting matrix is (nearly) singular.';
   rsErrFitNoBaseFunctions = 'Not enough user-provided base functions.';
+  rsErrNumericalOverflow = 'Numerical overflow.';
   rsFitNumObservations = 'Number of observations';
   rsFitNumFitParams = 'Number of fit parameters';
   rsFitDegreesOfFreedom = 'Degrees of freedom';
diff --git a/components/tachart/tafitlib.pas b/components/tachart/tafitlib.pas
index 918227d314..f89c4b79ba 100644
--- a/components/tachart/tafitlib.pas
+++ b/components/tachart/tafitlib.pas
@@ -35,7 +35,8 @@ type
     fitMoreParamsThanValues,   // There are more fitting parameters than data values
     fitNoFitParams,            // No fit parameters specified
     fitSingular,               // Matrix is (nearly) singular
-    fitNoBaseFunctions         // No user-provided base functions
+    fitNoBaseFunctions,        // No user-provided base functions
+    fitOverflow                // Numerical overflow
   );
 
   TFitResults = record
@@ -201,9 +202,6 @@ end;
   - Numerical Recipes, Ch 14, Modelling of data, General linear least squares }
 function LinearFit(const x, y, dy: TArbFloatArray;
   FitParams: TFitParamArray): TFitResults;
-const
-  TOO_LARGE = 1E100;
-  TOO_SMALL = 1.0 / TOO_LARGE;
 var
   alpha: TArbFloatArray = nil;
   beta: TArbFloatArray = nil;
@@ -297,11 +295,6 @@ begin
       kj := k * mfit + j;
       jk := j * mfit + k;
       alpha[kj] := alpha[jk];
-      if not InRange(abs(alpha[kj]), TOO_SMALL, TOO_LARGE) then
-      begin
-        Result.ErrCode := fitSingular;
-        exit;
-      end;
     end;
 
   // Solve equation system
diff --git a/components/tachart/tafuncseries.pas b/components/tachart/tafuncseries.pas
index 68954b5551..aa9418a91a 100644
--- a/components/tachart/tafuncseries.pas
+++ b/components/tachart/tafuncseries.pas
@@ -1821,6 +1821,7 @@ begin
     fitNoFitParams          : Result := rsErrFitNoFitParams;
     fitSingular             : Result := rsErrFitSingular;
     fitNoBaseFunctions      : Result := rsErrFitNoBaseFunctions;
+    fitOverflow             : Result := rsErrNumericalOverflow;
   else
     raise EChartError.CreateFmt('[%s.ErrorMsg] No message text assigned to error code #%d.',
       [NameOrClassName(self), ord(ErrCode)]);
@@ -1885,25 +1886,30 @@ var
     end;
 
     // Execute the polynomial fit; the degree of the polynomial is np - 1.
-    fitRes := LinearFit(xv, yv, dy, FFitParams);
-    FErrCode := fitRes.ErrCode;
-    if fitRes.ErrCode <> fitOK then
-      exit;
+    try
+      fitRes := LinearFit(xv, yv, dy, FFitParams);
 
-    // Store values of fit parameters.
-    // Note: In case of exponential and power fit equations, the first fitted
-    // parameter is the logarithm of the "real" parameter. It needs to be
-    // transformed back to real units by exp function. This is done by the
-    // getter of the property
-    for i:= 0 to High(FFitParams) do
-      FFitParams[i].Value := fitRes.ParamValues[i];
+      FErrCode := fitRes.ErrCode;
+      if fitRes.ErrCode <> fitOK then
+        exit;
 
-    // Analysis of variance, variance-covariance matrix
-    FFitStatistics.Free;
-    FFitStatistics := TFitStatistics.Create(fitRes, 1 - FConfidenceLevel);
+      // Store values of fit parameters.
+      // Note: In case of exponential and power fit equations, the first fitted
+      // parameter is the logarithm of the "real" parameter. It needs to be
+      // transformed back to real units by exp function. This is done by the
+      // getter of the property
+      for i:= 0 to High(FFitParams) do
+        FFitParams[i].Value := fitRes.ParamValues[i];
 
-    // State of the fit
-    FState := fpsValid;
+     // Analysis of variance, variance-covariance matrix
+      FFitStatistics.Free;
+      FFitStatistics := TFitStatistics.Create(fitRes, 1 - FConfidenceLevel);
+
+      // State of the fit
+      FState := fpsValid;
+    except
+      FErrCode := fitOverflow;
+    end;
   end;
 
 begin