procedure TForm1.AddNewSerie; 
var 
  s: TChartSerie; 
begin 
  s := AdvChartView.Panes[0].Series.Add; 
  // set properties of series here 
end;

procedure TForm1.AddNewSerie; 
var 
  s: TAdvGDIPChartSerie; 
begin 
  s := AdvGDIPChartView.Panes[0].Series.Add; 
  // set properties of GDI+ series here 
end;

procedure TForm1.RemoveSerie; 
begin 
  AdvChartView.Panes[0].Series[0].Free; 
end;