java - Pass JFrame as argument to JPanel subclass for BufferStrategy

I'm creating an application in which I have a class with a
main frame (JFrame), and a class which is a JPanel subclass called OvalPanelClass. I say
main frame because the user has the option to open up another JFrame (window). This
OvalPanelClass is dynamic and displays its images using a BufferStrategy. It is both
launched into a separate JFrame on some occasions and appears at the bottom right
section of the main frame at some points too, so I didn't feel it made sense to make
this class an inner class of the class containing the main
frame.

The problem is that as this JPanel is not
a part of a class with a JFrame it cannot make the call to get the BufferStrategy and so
on. So to get over this I tried passing a reference to the main frame to the
OvalPanelClass constructor but I'm not getting results. My question is what is flawed
with my
reasoning?

FrameClass

import
            java.awt.BorderLayout;
import
            java.awt.Dimension;


import
            javax.swing.JFrame;
import
            javax.swing.JPanel;


public class FrameClass extends
            JFrame {

 public static void main(String[] args) {

            FrameClass test = new FrameClass();
 test.setup();

            }


 void setup() {
 setPreferredSize(new
            Dimension(800, 800));
 JPanel background = new JPanel(new
            BorderLayout());
 getContentPane().add(background);

            setVisible(true);
 OvalPanelCanvas shape = new
            OvalPanelCanvas(this);
 //shape.setup(this);

            background.add(BorderLayout.CENTER, shape);
 pack();


            shape.repaint();

            }
}

OvalPanelCanvas

import
            java.awt.Color;
import java.awt.Graphics;
import
            java.awt.image.BufferStrategy;


import
            javax.swing.JFrame;
import javax.swing.JPanel;

public
            class OvalPanelCanvas extends JPanel {
 JFrame frame;

            BufferStrategy bs;
 public OvalPanelCanvas(JFrame frame) {

            this.frame = frame;
 setOpaque(false);

 }

            public void paintComponent(Graphics g) {

            frame.createBufferStrategy(2);
 bs = frame.getBufferStrategy();

            Graphics bufferG = bs.getDrawGraphics();
 for (int i = 0; i < 5; i++)
            {
 int width = 50;
 int height = 50;
 bufferG.setColor(new
            Color(i*5,i*6,i*50));
 bufferG.fillOval(0, 0, width*i,
            height*i);

 }
 bufferG.dispose();

            bs.show();

            }
}

Thanks
for your time! I'm being vague about what the project is and have stripped away what I
felt were irrelevant details but if you need some more context let me
know.