Wpf: binding animation property doesn't work.

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C#

.NET

WPF

.NET4.5

Binding the Duration property of DoubleAnimation inside Storyboard doesn't update converter, when UpdateTarget() is called manually.

MainWindow.xaml:

<Grid>
    <local:UserControl2/>
</Grid>

UserControl2.xaml:

<UserControl.Resources>
    <local:Converter x:Key="Converter"></local:Converter>
    <Storyboard x:Key="Storyboard">
        <DoubleAnimation
            Duration="{Binding ElementName=ellipse, Path=Width, Converter={StaticResource Converter}, Mode=OneTime}">
        </DoubleAnimation>
    </Storyboard>
</UserControl.Resources>
<Grid x:Name="grid" Background="Red" MouseDown="Grid_MouseDown">
    <Ellipse x:Name="ellipse"></Ellipse>
</Grid>

UserControl2.xaml.cs:

public partial class UserControl2 : UserControl
{
    public UserControl2()
    {
        InitializeComponent();
    }

    private void UserControl_Loaded(object sender, RoutedEventArgs e)
    {
        storyboard = this.Resources["Storyboard"] as Storyboard;
        doubleAnimation = storyboard.Children[0] as DoubleAnimation;

        NameScope.SetNameScope(storyboard, NameScope.GetNameScope(this));
        NameScope.SetNameScope(doubleAnimation, NameScope.GetNameScope(this));

        BindingOperations.SetBinding(doubleAnimation, DoubleAnimation.DurationProperty,
            new Binding("Width") { Converter = new Converter(), ElementName = "ellipse" });
    }

    private void Grid_MouseDown(object sender, MouseButtonEventArgs e)
    {
        BindingOperations.GetBindingExpression(doubleAnimation, DoubleAnimation.DurationProperty).UpdateTarget();
    }

    Storyboard storyboard;
    DoubleAnimation doubleAnimation;
}

Converter.cs:

class Converter : IValueConverter
{
    public object Convert(object value, Type targetType, object parameter, CultureInfo culture)
    {
        MessageBox.Show("Hello World!");
        return new System.Windows.Duration(TimeSpan.FromSeconds(1));
    }

    public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)
    {
        throw new NotImplementedException();
    }
}

What I have tried:

I tried the code I gave inside the description of the question, but the message "Hello World!" doesn't show, when I click on Grid on Window.